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)

sample1.6s (18.5%)

Results

757.0ms	2208×	body	2048	valid
476.0ms	4528×	body	256	valid
256.0ms	987×	body	1024	valid
104.0ms	533×	body	512	valid

Bogosity

preprocess168.0ms (1.9%)

Algorithm

2×

egglog

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)

simplify63.0ms (0.7%)

Algorithm

1×

egglog

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

Error

11.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	1.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 310 to 235 computations (24.2% saved)

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

59×	`egg-rr`
13×	`egg-rr`

Counts

2 → 72

Calls

Call 1

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

Outputs
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(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 N) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (neg.f64 (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) 0) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (-.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 (neg.f64 -1) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (+.f64 N 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 N) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 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(-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (atan.f64 N)) (neg.f64 (neg.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (+.f64 N 1)) 0) (atan.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (-.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 (neg.f64 -1) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (+.f64 N 1))))))

simplify192.0ms (2.2%)

Algorithm

1×

egglog

Counts

72 → 78

Calls

Call 1

Inputs
(fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 0 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(fma.f64 0 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(fma.f64 0 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(fma.f64 1 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 1)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 N) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (+.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (neg.f64 (atan.f64 N)) (*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 (neg.f64 (atan.f64 N)) (*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1))
(+.f64 (neg.f64 (atan.f64 N)) (neg.f64 (neg.f64 (atan.f64 (+.f64 N 1)))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (+.f64 (atan.f64 (+.f64 N 1)) 0) (atan.f64 N))
(-.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(.f64 (.f64 -1 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (-.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 N))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2))
(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)) 3) 1/3)
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(atan2.f64 (neg.f64 -1) (+.f64 (fma.f64 N N 1) N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(neg.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (+.f64 N 1))

Outputs
(fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (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 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (pow.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 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 1 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 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 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 N) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 N) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (+.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (*.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))))) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 0) (/.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 N) 2) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (neg.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (neg.f64 (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (*.f64 -1 (neg.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (*.f64 (neg.f64 (atan.f64 (+.f64 N 1))) -1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (neg.f64 (neg.f64 (atan.f64 (+.f64 N 1)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 0 (-.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 (+.f64 (atan.f64 (+.f64 N 1)) 0) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 0 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 -1 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) -1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 -1 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (+.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (-.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.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 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.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 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(.f64 (.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))) 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 (neg.f64 -1) (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(neg.f64 (-.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 N 1))) 0))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(atan.f64 (+.f64 N 1))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (+.f64 N 1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (+.f64 N 1))
(.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(atan.f64 (+.f64 N 1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(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 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
(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)) 3) 1/3)
(atan.f64 (+.f64 N 1))
(pow.f64 (atan.f64 (+.f64 N 1)) 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))

eval52.0ms (0.6%)

Compiler: Compiled 1700 to 1163 computations (31.6% saved)

prune21.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

0.1b

Counts

79 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
▶	28.6b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
✓	11.7b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Status

Error

Program

▶

0.1b

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

▶

28.6b

(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))

✓

11.7b

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize68.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (atan.f64 (+.f64 N 1)))
✓	1.0b	(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
✓	1.3b	(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))
✓	27.3b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))

Compiler

Compiled 134 to 113 computations (15.7% saved)

series82.0ms (0.9%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	N	@	inf	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
9.0ms	N	@	-inf	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
7.0ms	N	@	0	(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
2.0ms	N	@	0	(cbrt.f64 (atan.f64 (+.f64 N 1)))
0.0ms	N	@	0	(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))

Compiler

Compiled 3350 to 2915 computations (13% saved)

rewrite109.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

69×	`egg-rr`
33×	`egg-rr`
19×	`egg-rr`
19×	`egg-rr`

Counts

4 → 140

Calls

Call 1

Inputs
(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
(cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(cbrt.f64 (atan.f64 (+.f64 N 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (neg.f64 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 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((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (atan.f64 (+.f64 N 1)))))))

simplify392.0ms (4.5%)

Algorithm

1×

egglog

Counts

140 → 153

Calls

Call 1

Inputs
(fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
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(.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
(.f64 (.f64 (atan.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))
(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))
(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 1))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 1))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))
(pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))))
(*.f64 1 (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)
(cbrt.f64 (atan.f64 (+.f64 N 1)))

Outputs
(fma.f64 (cbrt.f64 (atan.f64 N)) (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (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 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.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 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 1 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 0 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (pow.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 (neg.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 (+.f64 N 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 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2)) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (neg.f64 (atan.f64 N)))
(-.f64 (cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2) 2) (atan.f64 (+.f64 N 1))))) (atan.f64 N))
(fma.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.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 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (neg.f64 (atan.f64 N)))
(-.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1)))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (neg.f64 (atan.f64 N)))
(-.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))
(if (!=.f64 (atan.f64 (+.f64 N 1)) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (atan.f64 N) 0) (/.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 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(if (!=.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1))))) 0) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
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(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 1)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (atan.f64 (+.f64 N 1)))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(*.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(*.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 (+.f64 N 1)) 2))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))
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(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
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(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))
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(.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))))
(.f64 (pow.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
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(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
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(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
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(.f64 (.f64 (atan.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) 3))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 1)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 3) 1/3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 3))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))))))
(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) 2))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (atan.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))))) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2))) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 2) 2) 2) (atan.f64 (+.f64 N 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(*.f64 1 (cbrt.f64 (atan.f64 (+.f64 N 1))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2)))))
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)))))
(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2) 2)) (cbrt.f64 (atan.f64 (+.f64 N 1))))))
(pow.f64 (atan.f64 (+.f64 N 1)) 1/3)
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3)
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1)
(cbrt.f64 (atan.f64 (+.f64 N 1)))
(cbrt.f64 (atan.f64 (+.f64 N 1)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 N N 1) N)
✓	0.1b	(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 920 to 645 computations (29.9% saved)

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

48×	`egg-rr`
13×	`egg-rr`

Counts

2 → 61

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N 1 (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 N N 1) 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 (pow.f64 (.f64 N N) 2) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) 1) (-.f64 (.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 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(cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 N (+.f64 1 N)) 3) 1) (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 N (cbrt.f64 N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (*.f64 N N)) N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 N N 1) N)))) 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(pow.f64 (*.f64 N N) 2) (*.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (*.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (*.f64 (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N))) 1) (-.f64 (*.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N))) (-.f64 1 (*.f64 (*.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N (+.f64 1 N)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3) 1) (+.f64 (*.f64 (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N))) (-.f64 1 (*.f64 (*.f64 N (+.f64 1 N)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))))))

simplify272.0ms (3.1%)

Algorithm

1×

egglog

Counts

85 → 80

Calls

Call 1

Inputs
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(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) (*.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 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))
(fma.f64 N N (+.f64 1 N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 1 N))
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 (fma.f64 N N 1) 1 N)
(if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 (pow.f64 (.f64 N N) 2) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) 1) (-.f64 (*.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (*.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N (+.f64 1 N)) 1)
(+.f64 1 (*.f64 N (+.f64 1 N)))
(+.f64 (.f64 (.f64 N (+.f64 1 N)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))
(.f64 (+.f64 (cbrt.f64 (.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))
(*.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (+.f64 (fma.f64 N N 1) N) 1)
(/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 1 N)) 3) 1) (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1)
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))

Outputs
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(+.f64 (+.f64 N 1) (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(+.f64 (+.f64 N 1) (pow.f64 (/.f64 -1 N) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))
(+.f64 (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)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 (fma.f64 N N 1) N)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (fma.f64 N N 1) 1 N)
(+.f64 (fma.f64 N N 1) N)
(if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 (pow.f64 (.f64 N N) 2) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N -1) N) 0) (/.f64 (-.f64 (pow.f64 (*.f64 N N) 2) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) 1) (-.f64 (*.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 N (fma.f64 N N -1)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N 1)) 2) -1) (+.f64 N (fma.f64 N N -1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (.f64 N N) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (*.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (*.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 (.f64 (.f64 N (+.f64 N 1)) (+.f64 N (fma.f64 N N -1)))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 N 1)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 N 1) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (*.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (*.f64 N (+.f64 1 N)) 1)
(+.f64 (fma.f64 N N 1) N)
(+.f64 1 (*.f64 N (+.f64 1 N)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (.f64 (.f64 N (+.f64 1 N)) 1) 1)
(+.f64 (fma.f64 N N 1) N)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))
(+.f64 (fma.f64 N N 1) N)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(+.f64 (fma.f64 N N 1) N)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (+.f64 (cbrt.f64 (.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))
(+.f64 (fma.f64 N N 1) N)
(*.f64 1 (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(*.f64 (+.f64 (fma.f64 N N 1) N) 1)
(+.f64 (fma.f64 N N 1) N)
(/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 1 N)) 3) 1) (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))))
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1)
(+.f64 (fma.f64 N N 1) N)
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))
(+.f64 (fma.f64 N N 1) N)

eval159.0ms (1.8%)

Compiler: Compiled 7894 to 6127 computations (22.4% saved)

prune41.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	249	6	255
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	252	6	258

Error

0.1b

Counts

258 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
▶	29.2b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
▶	0.4b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3))
▶	0.1b	(atan2.f64 1 (+.f64 (*.f64 N (+.f64 1 N)) 1))
▶	28.0b	(atan2.f64 1 (+.f64 N 1))
▶	29.0b	(atan2.f64 1 1)

Compiler

Compiled 104 to 84 computations (19.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 N (+.f64 1 N))
✓	0.1b	(atan2.f64 1 (+.f64 (*.f64 N (+.f64 1 N)) 1))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series11.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

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

Compiler

Compiled 1010 to 785 computations (22.3% saved)

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

69×	`egg-rr`
11×	`egg-rr`

Counts

2 → 80

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.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)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (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) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 N 1 (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 N N 1) N) N)) (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 (pow.f64 N 3)) 0) (/.f64 N (/.f64 (-.f64 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Outputs

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-1))) (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N) (cbrt.f64 (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 N 3)) (*.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 N)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (*.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) 1) (/.f64 N (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 N (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 N (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 (+.f64 1 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (*.f64 N (cbrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (/.f64 1 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) 1) (cbrt.f64 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) 1) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2) (cbrt.f64 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 N N)) (+.f64 (cbrt.f64 N) (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 N N)) (+.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) 1) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (+.f64 (neg.f64 (pow.f64 N 3)) -1)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 N 3)) -1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 N 3))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N N) 3))))))

simplify318.0ms (3.7%)

Algorithm

1×

egglog

Counts

100 → 97

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 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 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(*.f64 (cbrt.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)))) 2))
(*.f64 (pow.f64 (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 (.f64 (pow.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)))))) (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))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.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)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(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))
(fma.f64 N 1 (*.f64 N N))
(fma.f64 1 N (*.f64 N N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 N N N)
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) N)
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))
(if (!=.f64 N 0) (/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 N N 1) N) N)) (fma.f64 N N N))
(if (!=.f64 (+.f64 1 (pow.f64 N 3)) 0) (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (.f64 N (+.f64 N -1))) 0) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 N N) 2) N) (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 3))) (-.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (*.f64 N (+.f64 N -1)))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (+.f64 N -1)) 0) (/.f64 (.f64 (.f64 N N) (fma.f64 N N -1)) (.f64 N (+.f64 N -1))) (fma.f64 N N N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1)))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (*.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (*.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (-.f64 1 N)) 0) (/.f64 (.f64 (.f64 N N) (fma.f64 N N -1)) (.f64 N (+.f64 N -1))) (fma.f64 N N N))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(*.f64 N (+.f64 1 N))
(*.f64 (+.f64 1 N) N)
(.f64 (cbrt.f64 (+.f64 1 N)) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N) (cbrt.f64 (+.f64 1 N)))
(.f64 (.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 N))
(.f64 (.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)) (cbrt.f64 N))
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)))
(.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N)) N))
(.f64 (cbrt.f64 (+.f64 1 N)) (.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)))
(.f64 (cbrt.f64 (cbrt.f64 N)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (.f64 (cbrt.f64 (.f64 N N)) (+.f64 1 N))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) 1) (/.f64 N (-.f64 (fma.f64 N N 1) N)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 N (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))
(*.f64 (/.f64 N 1) (+.f64 1 N))
(*.f64 (/.f64 N (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 (+.f64 1 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 1 (fma.f64 N N N))
(*.f64 (fma.f64 N N N) 1)
(.f64 (.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))
(.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)))
(.f64 (cbrt.f64 (.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (.f64 N (cbrt.f64 (+.f64 1 N))))
(.f64 (+.f64 (pow.f64 (.f64 N N) 2) N) (/.f64 1 (-.f64 (fma.f64 N N 1) N)))
(.f64 (.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (.f64 N (cbrt.f64 N))))
(.f64 (.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) 1) (cbrt.f64 (.f64 N N)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2))
(.f64 (.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2))
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) 1) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2) (cbrt.f64 (fma.f64 N N N))))
(.f64 (cbrt.f64 (.f64 N N)) (+.f64 (cbrt.f64 N) (*.f64 N (cbrt.f64 N))))
(.f64 (cbrt.f64 (.f64 N N)) (+.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 N)))
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (-.f64 (fma.f64 N N 1) N))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) 1) (-.f64 (fma.f64 N N 1) N))
(/.f64 (*.f64 N (+.f64 (neg.f64 (pow.f64 N 3)) -1)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 N 3)) -1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 N 3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (fma.f64 N N N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))

Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (.f64 N (-.f64 1 (.f64 -1 N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) 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 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(*.f64 (cbrt.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)))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (pow.f64 (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)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (.f64 (pow.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)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (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) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) 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 (cbrt.f64 N) (cbrt.f64 (.f64 N N)) (.f64 N N))
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) N)
(fma.f64 N N N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 N) (.f64 N N))
(fma.f64 N N N)
(if (!=.f64 N 0) (/.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 (-.f64 (fma.f64 N N 1) N) N)) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 N 1) (/.f64 1 N)) (fma.f64 N N N))
(if (!=.f64 (+.f64 1 (pow.f64 N 3)) 0) (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (+.f64 1 (pow.f64 N 3)) 0) (/.f64 N (/.f64 (-.f64 N (fma.f64 N N 1)) (-.f64 -1 (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (.f64 N (+.f64 N -1))) 0) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 N N) 2) N) (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 3))) (-.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (*.f64 N (+.f64 N -1)))) (fma.f64 N N N))
(if (!=.f64 (+.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (.f64 N (-.f64 1 N))) 0) (/.f64 (.f64 (+.f64 N (pow.f64 (.f64 N N) 2)) (+.f64 (+.f64 1 (pow.f64 (.f64 N (+.f64 N -1)) 2)) (.f64 N (-.f64 1 N)))) (+.f64 1 (pow.f64 (*.f64 N (+.f64 N -1)) 3))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (+.f64 N -1)) 0) (/.f64 (.f64 (.f64 N N) (fma.f64 N N -1)) (.f64 N (+.f64 N -1))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (+.f64 N -1)) 0) (/.f64 (.f64 N (+.f64 (pow.f64 N 3) (neg.f64 N))) (*.f64 N (+.f64 N -1))) (fma.f64 N N N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (.f64 (.f64 N N) (-.f64 (fma.f64 N N 1) N)) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1)))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 (.f64 (.f64 N N) (-.f64 (fma.f64 N N 1) N)) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (*.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (*.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 N N) (pow.f64 N 3)))) (fma.f64 N N N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N 3) 2)) (fma.f64 N N (.f64 (.f64 N N) (.f64 N (+.f64 N -1))))) (fma.f64 N N N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 N 3)) (.f64 (.f64 N N) (-.f64 (fma.f64 N N 1) N))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (-.f64 1 N)) 0) (/.f64 (.f64 (.f64 N N) (fma.f64 N N -1)) (.f64 N (+.f64 N -1))) (fma.f64 N N N))
(if (!=.f64 (.f64 N (-.f64 1 N)) 0) (/.f64 (.f64 N (+.f64 (pow.f64 N 3) (neg.f64 N))) (*.f64 N (+.f64 N -1))) (fma.f64 N N N))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(*.f64 N (+.f64 1 N))
(fma.f64 N N N)
(*.f64 (+.f64 1 N) N)
(fma.f64 N N N)
(.f64 (cbrt.f64 (+.f64 1 N)) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N))
(fma.f64 N N N)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N) (cbrt.f64 (+.f64 1 N)))
(fma.f64 N N N)
(.f64 (.f64 (*.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 N))
(fma.f64 N N N)
(.f64 (.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)) (cbrt.f64 N))
(fma.f64 N N N)
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)))
(fma.f64 N N N)
(.f64 (+.f64 1 (pow.f64 N 3)) (.f64 (/.f64 1 (-.f64 (fma.f64 N N 1) N)) N))
(fma.f64 N N N)
(.f64 (cbrt.f64 (+.f64 1 N)) (.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(fma.f64 N N N)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(fma.f64 N N N)
(.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2))))
(fma.f64 N N N)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 (cbrt.f64 N)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (.f64 (cbrt.f64 (.f64 N N)) (+.f64 1 N))))
(fma.f64 N N N)
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) 1) (/.f64 N (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(*.f64 (/.f64 (+.f64 1 (pow.f64 N 3)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 N (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))
(fma.f64 N N N)
(*.f64 (/.f64 N 1) (+.f64 1 N))
(fma.f64 N N N)
(*.f64 (/.f64 N (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (/.f64 (+.f64 1 (pow.f64 N 3)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N N N)
(*.f64 1 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(.f64 (.f64 N (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))
(fma.f64 N N N)
(.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (*.f64 N N)) (+.f64 1 N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 (.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)))
(fma.f64 N N N)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (.f64 N (cbrt.f64 (+.f64 1 N))))
(fma.f64 N N N)
(.f64 (+.f64 (pow.f64 (.f64 N N) 2) N) (/.f64 1 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(.f64 (.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (.f64 N (cbrt.f64 N))))
(fma.f64 N N N)
(.f64 (.f64 (.f64 (+.f64 1 N) (cbrt.f64 N)) 1) (cbrt.f64 (.f64 N N)))
(fma.f64 N N N)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2))
(fma.f64 N N N)
(.f64 (.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2))
(fma.f64 N N N)
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) 1) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)))
(fma.f64 N N N)
(.f64 (.f64 (*.f64 N (cbrt.f64 (+.f64 1 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 N))) 2) 2))
(fma.f64 N N N)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N N N))) 2) 2) (cbrt.f64 (fma.f64 N N N))))
(fma.f64 N N N)
(.f64 (cbrt.f64 (.f64 N N)) (+.f64 (cbrt.f64 N) (*.f64 N (cbrt.f64 N))))
(fma.f64 N N N)
(.f64 (cbrt.f64 (.f64 N N)) (+.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 N)))
(fma.f64 N N N)
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (-.f64 (fma.f64 N N 1) N))
(fma.f64 N N N)
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) (cbrt.f64 (-.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 N N 1) N)) 2))
(fma.f64 N N N)
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N) 1) (-.f64 (fma.f64 N N 1) N))
(fma.f64 N N N)
(/.f64 (*.f64 N (+.f64 (neg.f64 (pow.f64 N 3)) -1)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 N 3)) -1) N) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 N 3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) N)) (cbrt.f64 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 N N) 2) N)) (neg.f64 (-.f64 (fma.f64 N N 1) N)))
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(fma.f64 N N N)
(pow.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(fma.f64 N N N)

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize5.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
✓	0.3b	(pow.f64 (/.f64 1 N) -2)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series5.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(pow.f64 (/.f64 1 N) -2)
1.0ms	N	@	0	(pow.f64 (/.f64 1 N) -2)
0.0ms	N	@	inf	(pow.f64 (/.f64 1 N) -2)
0.0ms	N	@	0	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
0.0ms	N	@	-inf	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))

Compiler

Compiled 170 to 130 computations (23.5% saved)

rewrite131.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

59×	`egg-rr`
56×	`egg-rr`

Counts

2 → 115

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 N) -2)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))

Outputs

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(*.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))))))

simplify408.0ms (4.7%)

Algorithm

1×

egglog

Counts

123 → 138

Calls

Call 1

Inputs
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) -1) -1) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) -3)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) -1/3)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 -1 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 2 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (/.f64 1 N) 0) (/.f64 1 (/.f64 1 (*.f64 N N))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 1 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 0) (pow.f64 (/.f64 1 N) -2))
(+.f64 (.f64 (pow.f64 (/.f64 1 N) -2) 1/2) (.f64 (pow.f64 (/.f64 1 N) -2) 1/2))
(+.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) 0) (pow.f64 (/.f64 1 N) -2))
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 (pow.f64 (/.f64 1 N) -2) 0))
(+.f64 (*.f64 0 (neg.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (/.f64 1 N) -2))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 N) -2)) (.f64 1/2 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (*.f64 0 (pow.f64 (/.f64 1 N) -2)) (pow.f64 (/.f64 1 N) -2))
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 0 (pow.f64 (/.f64 1 N) -2)))
(-.f64 0 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)))
(*.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 1)
(*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) (cbrt.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(.f64 1/2 (.f64 2 (pow.f64 (/.f64 1 N) -2)))
(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(.f64 2 (.f64 1/2 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 N) -2) 2) 2)
(*.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2))) 3))
(.f64 3 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(/.f64 (pow.f64 (/.f64 1 N) -2) 1)
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 1) -1)
(/.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) -1)
(/.f64 (*.f64 2 (pow.f64 (/.f64 1 N) -2)) 2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) 2) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 1/3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (pow.f64 (/.f64 1 N) -2) 1)
(neg.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 1))
(neg.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)))))
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2))) 3))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (pow.f64 (/.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 -1 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 0) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (/.f64 1 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 0) (/.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 2 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -3)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) -1/3)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 1 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/2) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/2))
(+.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0))
(+.f64 (*.f64 0 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(+.f64 (*.f64 0 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (*.f64 0 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(-.f64 0 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)
(*.f64 -1 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 1/2 (.f64 2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 2 (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)
(*.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(/.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1) -1)
(/.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)
(/.f64 (*.f64 2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)
(/.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(neg.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(neg.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))

Outputs
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2))) 0) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 0) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 N) -2) (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (/.f64 1 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) 0) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (/.f64 1 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) -1) -1) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 1 (neg.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) 2) -1)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) 0) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) -3)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 0) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) -3) -1) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) -1/3)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) -1/3) -1) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 -1 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 2 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (/.f64 1 N) 0) (/.f64 1 (/.f64 1 (*.f64 N N))) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 1 0) (pow.f64 (/.f64 1 N) -2) (pow.f64 (/.f64 1 N) -2))
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 0) (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (.f64 (pow.f64 (/.f64 1 N) -2) 1/2) (.f64 (pow.f64 (/.f64 1 N) -2) 1/2))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) 0) (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 (pow.f64 (/.f64 1 N) -2) 0))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (*.f64 0 (neg.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 N) -2)) (.f64 1/2 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (*.f64 0 (pow.f64 (/.f64 1 N) -2)) (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(+.f64 (pow.f64 (/.f64 1 N) -2) (*.f64 0 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(-.f64 0 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2) (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)))
(pow.f64 (/.f64 1 N) -2)
(*.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) -1)
(pow.f64 (/.f64 1 N) -2)
(*.f64 -1 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 2)) (cbrt.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(pow.f64 (/.f64 1 N) -2)
(.f64 1/2 (.f64 2 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 2 (.f64 1/2 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (/.f64 (pow.f64 (/.f64 1 N) -2) 2) 2)
(pow.f64 (/.f64 1 N) -2)
(*.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2))) 3))
(pow.f64 (/.f64 1 N) -2)
(.f64 3 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(/.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 1) -1)
(pow.f64 (/.f64 1 N) -2)
(/.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) -1)
(pow.f64 (/.f64 1 N) -2)
(/.f64 (*.f64 2 (pow.f64 (/.f64 1 N) -2)) 2)
(pow.f64 (/.f64 1 N) -2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) 2) 2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 1/3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)) 1))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2)))))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 1 N) -2))) 3))
(pow.f64 (/.f64 1 N) -2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3))
(pow.f64 (/.f64 1 N) -2)
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (pow.f64 (/.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 0) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) -1))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 -1 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 0) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 0) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (/.f64 1 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (/.f64 1 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (/.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)) 0) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 -1 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 0) (/.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 0) (cbrt.f64 (/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)) 2))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 2 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -3)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -3) -1) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) -1/3)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 0) (pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) -1/3) -1) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 1 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(+.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/2) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (*.f64 0 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (*.f64 0 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(+.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (*.f64 0 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(-.f64 0 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 -1 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 1/2 (.f64 2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 2 (.f64 1/2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 -1 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1) -1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (*.f64 2 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 2) 2)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (neg.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (fma.f64 N N 1) N)
✓	0.1b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3))
✓	0.2b	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
✓	15.6b	(cbrt.f64 (+.f64 (fma.f64 N N 1) N))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series117.0ms (1.3%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	N	@	0	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
2.0ms	N	@	inf	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
1.0ms	N	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
1.0ms	N	@	inf	(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
1.0ms	N	@	-inf	(cbrt.f64 (+.f64 (fma.f64 N N 1) N))

Compiler

Compiled 4190 to 3085 computations (26.4% saved)

rewrite143.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

56×	`egg-rr`
15×	`egg-rr`
14×	`egg-rr`

Counts

3 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 N N 1) N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 N (cbrt.f64 N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (*.f64 N N)) N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N (cbrt.f64 N)) (cbrt.f64 (*.f64 N N)) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (fma.f64 N N 1)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 N N 1) 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N 1 (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 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N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (*.f64 N N) 2) (-.f64 (*.f64 (+.f64 1 N) (+.f64 1 N)) (*.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N (+.f64 1 N)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 1 N)) 3) 1) (+.f64 (*.f64 (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N))) (-.f64 1 (*.f64 (*.f64 N (+.f64 1 N)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 N N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))))))

simplify564.0ms (6.5%)

Algorithm

1×

egglog

Counts

105 → 106

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))
(*.f64 1 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(/.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 3)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(fma.f64 N N (+.f64 1 N))
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 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 1 (fma.f64 N N 1) N)
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 (fma.f64 N N 1) 1 N)
(fma.f64 N 1 (fma.f64 N N 1))
(if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 (pow.f64 (.f64 N N) 2) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) 1) (-.f64 (*.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (*.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N (+.f64 1 N)) 1)
(+.f64 1 (*.f64 N (+.f64 1 N)))
(+.f64 (.f64 (.f64 N (+.f64 1 N)) 1) 1)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) 1))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))
(.f64 (+.f64 (cbrt.f64 (.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))
(*.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (+.f64 (fma.f64 N N 1) N) 1)
(/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 1 N)) 3) 1) (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))))
(/.f64 (+.f64 (fma.f64 N N 1) N) 1)
(pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1)
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(/.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))

Outputs
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (fma.f64 (*.f64 N N) 2/9 (fma.f64 (pow.f64 N 3) -13/81 1)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 (fma.f64 N N 1) N)
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (pow.f64 (pow.f64 (-.f64 (fma.f64 N N 1) (*.f64 -1 N)) 1/3) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2)))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(*.f64 1 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(/.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1/3)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 1)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 3)
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (+.f64 (fma.f64 N N 1) N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) N)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 1 N))
(+.f64 (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)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 (fma.f64 N N 1) N)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(fma.f64 (fma.f64 N N 1) 1 N)
(+.f64 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(if (!=.f64 (-.f64 N (fma.f64 N N 1)) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 N 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N N) (+.f64 1 N)) 0) (/.f64 (-.f64 (pow.f64 (.f64 N N) 2) (.f64 (+.f64 1 N) (+.f64 1 N))) (-.f64 (.f64 N N) (+.f64 1 N))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N -1) N) 0) (/.f64 (-.f64 (pow.f64 (*.f64 N N) 2) (pow.f64 (+.f64 N 1) 2)) (-.f64 (fma.f64 N N -1) N)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (.f64 N (+.f64 1 N)) 1) 0) (/.f64 (-.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) 1) (-.f64 (*.f64 N (+.f64 1 N)) 1)) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 N (fma.f64 N N -1)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 N (+.f64 N 1)) 2) -1) (+.f64 N (fma.f64 N N -1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (.f64 N N) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (*.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (*.f64 N (+.f64 1 N)) 1))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 (.f64 (.f64 N (+.f64 N 1)) (+.f64 N (fma.f64 N N -1)))) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 1 N)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (*.f64 N (+.f64 N 1)) 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (*.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (+.f64 N 1) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 1 0) (+.f64 (fma.f64 N N 1) N) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N 1) 0) (/.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 (fma.f64 N N 1) N))
(if (!=.f64 (fma.f64 N N 1) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (*.f64 (fma.f64 N N 1) (-.f64 (fma.f64 N N 1) N)))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (pow.f64 (.f64 N N) 2) (-.f64 (.f64 (+.f64 1 N) (+.f64 1 N)) (.f64 (.f64 N N) (+.f64 1 N))))) (+.f64 (fma.f64 N N 1) N))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 N 1) 3)) (fma.f64 (+.f64 N 1) (neg.f64 (-.f64 (fma.f64 N N -1) N)) (pow.f64 (*.f64 N N) 2))) (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (*.f64 N (+.f64 1 N)) 1)
(+.f64 (fma.f64 N N 1) N)
(+.f64 1 (*.f64 N (+.f64 1 N)))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (.f64 (.f64 N (+.f64 1 N)) 1) 1)
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) 1))
(+.f64 (fma.f64 N N 1) N)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (-.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 N)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (+.f64 (cbrt.f64 (.f64 N N)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 N N 1) 2)) (cbrt.f64 (+.f64 (pow.f64 N 3) N)))) (+.f64 (cbrt.f64 N) (cbrt.f64 (fma.f64 N N 1))))
(+.f64 (fma.f64 N N 1) N)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (pow.f64 (+.f64 (fma.f64 N N 1) N) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2)))
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2) (cbrt.f64 (+.f64 (fma.f64 N N 1) N)))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2))
(+.f64 (fma.f64 N N 1) N)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))))
(+.f64 (fma.f64 N N 1) N)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 2)) (+.f64 (fma.f64 N N 1) N))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N))) 2) 2))
(+.f64 (fma.f64 N N 1) N)
(*.f64 1 (+.f64 (fma.f64 N N 1) N))
(+.f64 (fma.f64 N N 1) N)
(*.f64 (+.f64 (fma.f64 N N 1) N) 1)
(+.f64 (fma.f64 N N 1) N)
(/.f64 (+.f64 (pow.f64 (.f64 N (+.f64 1 N)) 3) 1) (+.f64 (.f64 (.f64 N (+.f64 1 N)) (.f64 N (+.f64 1 N))) (-.f64 1 (.f64 (.f64 N (+.f64 1 N)) 1))))
(+.f64 (fma.f64 N N 1) N)
(/.f64 (+.f64 (fma.f64 N N 1) N) 1)
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3) 1/3)
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3)
(+.f64 (fma.f64 N N 1) N)
(pow.f64 (+.f64 (fma.f64 N N 1) N) 1)
(+.f64 (fma.f64 N N 1) N)
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N 1) N) 3))
(+.f64 (fma.f64 N N 1) N)
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 2) 2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 1 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(/.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 1)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))

eval197.0ms (2.3%)

Compiler: Compiled 9092 to 6754 computations (25.7% saved)

prune67.0ms (0.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	399	7	406
Fresh	1	0	1
Picked	1	0	1
Done	0	4	4
Total	401	11	412

Error

0.1b

Counts

412 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	29.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
	1.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
✓	29.2b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
▶	0.4b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 3))
✓	0.1b	(atan2.f64 1 (+.f64 (*.f64 N (+.f64 1 N)) 1))
✓	28.0b	(atan2.f64 1 (+.f64 N 1))
▶	29.2b	(atan2.f64 1 (*.f64 N N))
▶	29.3b	(atan2.f64 1 (.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2))))
✓	29.0b	(atan2.f64 1 1)
▶	29.3b	(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
▶	29.3b	(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))

Compiler

Compiled 184 to 156 computations (15.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 N) (*.f64 N N))
✓	0.1b	(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 3))
✓	0.2b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 3)
✓	15.6b	(cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N)))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series57.0ms (0.7%)

Counts

4 → 24

Calls

12 calls:

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

Compiler

Compiled 4800 to 3660 computations (23.8% saved)

rewrite111.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

73×	`egg-rr`
73×	`egg-rr`
15×	`egg-rr`
13×	`egg-rr`

Counts

4 → 174

Calls

Call 1

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

Outputs
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1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))))))

simplify727.0ms (8.4%)

Algorithm

1×

egglog

Counts

198 → 135

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/3 N) 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
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(if (!=.f64 (+.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N 1) N))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N 1) N)))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (.f64 N (fma.f64 N N 1)))) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (.f64 N (fma.f64 N N 1))))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) 0) (+.f64 N (fma.f64 N N 1)) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (fma.f64 N N 1) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (-.f64 (.f64 N N) (*.f64 (fma.f64 N N 1) N)))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (*.f64 N (fma.f64 N N 1))))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 N 0) (/.f64 (+.f64 (pow.f64 (fma.f64 N N 1) 3) (pow.f64 N 3)) (+.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (-.f64 (.f64 N N) (*.f64 (fma.f64 N N 1) N)))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (fma.f64 N N N) 0) (+.f64 N (fma.f64 N N 1)) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (-.f64 N (fma.f64 N N -1)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (*.f64 N N) 2)) (-.f64 N (fma.f64 N N -1))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (-.f64 (fma.f64 N N -1) N) 0) (/.f64 (-.f64 (pow.f64 (+.f64 1 N) 2) (pow.f64 (*.f64 N N) 2)) (-.f64 N (fma.f64 N N -1))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (fma.f64 N N 1) 0) (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (+.f64 (.f64 N N) (-.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (*.f64 N (fma.f64 N N 1))))) (+.f64 N (fma.f64 N N 1)))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 N (fma.f64 N N 1))
(+.f64 (fma.f64 N N 1) N)
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))) 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 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))))
(.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1)))))
(.f64 (+.f64 (.f64 N (cbrt.f64 N)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (.f64 (fma.f64 N N N) N)))) (+.f64 (cbrt.f64 (.f64 N N)) (cbrt.f64 (+.f64 1 N))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 (fma.f64 N N N) N)))) (+.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (.f64 N N))))
(*.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (+.f64 N (fma.f64 N N 1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (+.f64 N (fma.f64 N N 1)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (+.f64 N (fma.f64 N N 1)))))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1)))))
(/.f64 (+.f64 N (fma.f64 N N 1)) 1)
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) 1) (+.f64 1 (.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1))))
(pow.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 3)
(pow.f64 (+.f64 N (fma.f64 N N 1)) 1)
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))

Outputs
1
(+.f64 (*.f64 1/3 N) 1)
(fma.f64 1/3 N 1)
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) 1))
(fma.f64 N 1/3 (fma.f64 2/9 (*.f64 N N) 1))
(+.f64 (.f64 1/3 N) (+.f64 (.f64 2/9 (pow.f64 N 2)) (+.f64 1 (*.f64 -13/81 (pow.f64 N 3)))))
(fma.f64 1/3 N (fma.f64 2/9 (*.f64 N N) (fma.f64 -13/81 (pow.f64 N 3) 1)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (pow.f64 (pow.f64 (+.f64 N (+.f64 1 (pow.f64 N 2))) 1/3) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 (/.f64 1 N) -2)
(+.f64 N (pow.f64 (/.f64 1 N) -2))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(+.f64 N (+.f64 (pow.f64 (/.f64 1 N) -2) 1))
(pow.f64 (/.f64 -1 N) -2)
(+.f64 N (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(+.f64 (+.f64 N 1) (pow.f64 (/.f64 -1 N) -2))
(+.f64 N (+.f64 1 (pow.f64 (/.f64 -1 N) -2)))
(+.f64 (+.f64 N 1) (pow.f64 (/.f64 -1 N) -2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) 2) (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2)))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2) (cbrt.f64 (+.f64 N (fma.f64 N N 1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)) (pow.f64 (+.f64 N (fma.f64 N N 1)) 2)))))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 2))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 1)
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))))) 2) 2))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (cbrt.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1)))))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(/.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 1)
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (+.f64 N (fma.f64 N N 1)) 1/3)
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1))) 1)
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 N (fma.f64 N N 1)))) 3)
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (+.f64 1 (fma.f64 N N N)))
(fma.f64 N N (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (.f64 N N)) (.f64 N (cbrt.f64 N)) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 1 (fma.f64 N N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (cbrt.f64 (*.f64 N N)) (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N 1 (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) N 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 1 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 (pow.f64 N 3)) (/.f64 1 (-.f64 (fma.f64 N N 1) N)) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (cbrt.f64 (+.f64 1 N)) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (+.f64 1 N) 1 (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 N N) 1 (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 N N)) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (.f64 (cbrt.f64 (.f64 N N)) N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(if (!=.f64 (+.f64 1 (*.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1))) 0) (+.f64 N (fma.f64 N N 1)) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (fma.f64 (+.f64 (fma.f64 N N N) -1) (fma.f64 N N N) 1) 0) (+.f64 1 (fma.f64 N N N)) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 1 0) (+.f64 N (fma.f64 N N 1)) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 1 0) (+.f64 1 (fma.f64 N N N)) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 (fma.f64 N (pow.f64 N 3) (.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (*.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1))))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (fma.f64 N (pow.f64 N 3) (.f64 (+.f64 N 1) (-.f64 N (fma.f64 N N -1)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (*.f64 (+.f64 N 1) (-.f64 N (fma.f64 N N -1))))) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (*.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1))))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (.f64 N N) 0) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (*.f64 (+.f64 N 1) (-.f64 N (fma.f64 N N -1))))) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 (+.f64 1 N) 0) (/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (.f64 (+.f64 1 N) (-.f64 N (fma.f64 N N -1))))) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (+.f64 N 1) 0) (/.f64 (+.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 (.f64 N N) 3)) (fma.f64 N (pow.f64 N 3) (.f64 (+.f64 N 1) (-.f64 N (fma.f64 N N -1))))) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (-.f64 (.f64 (fma.f64 N N 1) (fma.f64 N N 1)) (.f64 N N)) (-.f64 (fma.f64 N N 1) N)) (+.f64 N (fma.f64 N N 1)))
(if (!=.f64 (-.f64 (fma.f64 N N 1) N) 0) (/.f64 (fma.f64 N N (neg.f64 (pow.f64 (fma.f64 N N 1) 2))) (-.f64 N (fma.f64 N N 1))) (+.f64 1 (fma.f64 N N N)))
(if (!=.f64 (-.f64 1 (fma.f64 N N N)) 0) (/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N))) (+.f64 N (fma.f64 N N 1)))
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(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N (cbrt.f64 N)) (cbrt.f64 (.f64 (fma.f64 N N N) N)))) (+.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (.f64 N N))))
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(*.f64 1 (+.f64 N (fma.f64 N N 1)))
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(*.f64 (+.f64 N (fma.f64 N N 1)) 1)
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(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 N N 1)) 3))
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localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 1 (*.f64 N N))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series5.0ms (0.1%)

Counts

1 → 4

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))

Compiler

Compiled 470 to 410 computations (12.8% saved)

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

27× egg-rr

Counts

1 → 27

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 1 (*.f64 N N)) (*.f64 (atan2.f64 1 (*.f64 N N)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan2.f64 1 (*.f64 N N)) 1/2) (*.f64 (atan2.f64 1 (*.f64 N N)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan2.f64 1 (*.f64 N N)) (*.f64 0 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (atan2.f64 1 (*.f64 N N))) (*.f64 1/2 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))))) 2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2) (atan2.f64 1 (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (atan2.f64 1 (*.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2)) (cbrt.f64 (*.f64 (atan2.f64 1 (*.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2) (atan2.f64 1 (*.f64 N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2) (atan2.f64 1 (*.f64 N N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 1 (*.f64 N N)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (atan2.f64 1 (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))))))

simplify240.0ms (2.8%)

Algorithm

1×

egglog

Counts

31 → 28

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))
(+.f64 (atan2.f64 1 (.f64 N N)) (.f64 (atan2.f64 1 (*.f64 N N)) 0))
(+.f64 (.f64 (atan2.f64 1 (.f64 N N)) 1/2) (.f64 (atan2.f64 1 (.f64 N N)) 1/2))
(+.f64 (atan2.f64 1 (.f64 N N)) (.f64 0 (atan2.f64 1 (*.f64 N N))))
(+.f64 (.f64 1/2 (atan2.f64 1 (.f64 N N))) (.f64 1/2 (atan2.f64 1 (.f64 N N))))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) 1))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))))) 2) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (cbrt.f64 (atan2.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (*.f64 N N)))))
(.f64 (cbrt.f64 (.f64 (atan2.f64 1 (.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2)))
(.f64 1 (atan2.f64 1 (.f64 N N)))
(.f64 (atan2.f64 1 (.f64 N N)) 1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2)) (cbrt.f64 (.f64 (atan2.f64 1 (.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (.f64 N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (.f64 N N)))) 1))
(/.f64 (atan2.f64 1 (*.f64 N N)) 1)
(/.f64 (.f64 (atan2.f64 1 (.f64 N N)) 2) 2)
(/.f64 (.f64 2 (atan2.f64 1 (.f64 N N))) 2)
(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 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))

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))
(+.f64 (atan2.f64 1 (.f64 N N)) (.f64 (atan2.f64 1 (*.f64 N N)) 0))
(atan2.f64 1 (*.f64 N N))
(+.f64 (.f64 (atan2.f64 1 (.f64 N N)) 1/2) (.f64 (atan2.f64 1 (.f64 N N)) 1/2))
(atan2.f64 1 (*.f64 N N))
(+.f64 (atan2.f64 1 (.f64 N N)) (.f64 0 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(+.f64 (.f64 1/2 (atan2.f64 1 (.f64 N N))) (.f64 1/2 (atan2.f64 1 (.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))
(atan2.f64 1 (*.f64 N N))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) (.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) 1))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))))) 2) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2)))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (cbrt.f64 (atan2.f64 1 (.f64 N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) (cbrt.f64 (.f64 (pow.f64 (atan2.f64 1 (.f64 N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))
(atan2.f64 1 (*.f64 N N))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (*.f64 N N)))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (.f64 (atan2.f64 1 (.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2) 2)))
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (cbrt.f64 (.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 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2)) (cbrt.f64 (.f64 (atan2.f64 1 (.f64 N N)) (pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 2))))
(atan2.f64 1 (*.f64 N N))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (.f64 N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N)))) 2))
(atan2.f64 1 (*.f64 N N))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N)))) 2) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (.f64 N N))) 2) 2) (atan2.f64 1 (.f64 N N)))) 1))
(atan2.f64 1 (*.f64 N N))
(/.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(/.f64 (.f64 (atan2.f64 1 (.f64 N N)) 2) 2)
(atan2.f64 1 (*.f64 N N))
(/.f64 (.f64 2 (atan2.f64 1 (.f64 N N))) 2)
(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 (atan2.f64 1 (*.f64 N N)) 1)
(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))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
✓	0.1b	(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
	0.1b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
	0.3b	(pow.f64 (/.f64 1 N) -2)

Compiler

Compiled 41 to 35 computations (14.6% saved)

series12.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
0.0ms	N	@	inf	(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
0.0ms	N	@	0	(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
0.0ms	N	@	0	(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
0.0ms	N	@	inf	(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))

Compiler

Compiled 430 to 370 computations (14% saved)

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

50×	`egg-rr`
47×	`egg-rr`

Counts

2 → 97

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/3)) (*.f64 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simplify229.0ms (2.6%)

Algorithm

1×

egglog

Counts

109 → 99

Calls

Call 1

Inputs
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 1/3))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (sqrt.f64 1/3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 1/3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))) (sqrt.f64 3))
(.f64 (.f64 1/3 (*.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(.f64 (.f64 1/3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))))
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))))
(.f64 (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3))
(.f64 (sqrt.f64 3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) 1/3))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) 1/3))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (*.f64 (cbrt.f64 9) 1/3))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(.f64 1/9 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/9)
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(.f64 (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(.f64 (cbrt.f64 1/3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (cbrt.f64 1/3))
(.f64 (cbrt.f64 1/9) (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 1/3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))) (cbrt.f64 9))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 1/3))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3))
(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(if (!=.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3))
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) 2) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(.f64 (sqrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 3)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))))
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 3))
(.f64 (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(.f64 (sqrt.f64 3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) 1))
(.f64 (sqrt.f64 1/3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) 3))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))))
(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 9)
(.f64 1 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/27) 27)
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1) -1)
(.f64 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(.f64 1/3 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) 3))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (cbrt.f64 9))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 3))
(.f64 (cbrt.f64 9) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)))
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(.f64 (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 3))
(.f64 (cbrt.f64 (cbrt.f64 3)) (.f64 (cbrt.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1))
(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(/.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(pow.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3)
(neg.f64 (.f64 -1 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(neg.f64 (.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1))
(cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3))

Outputs
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (sqrt.f64 1/3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 1/3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))) (sqrt.f64 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 1/3 (*.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 1/3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (sqrt.f64 3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (*.f64 (cbrt.f64 9) 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 1/9 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/9)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 1/3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (cbrt.f64 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 1/9) (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 1/3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))) (cbrt.f64 9))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(if (!=.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 0) (/.f64 -3 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 1/3)) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) 2) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (sqrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 3)) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (sqrt.f64 3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (.f64 3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3) 1))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (sqrt.f64 1/3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 9)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 1 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/27) 27)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1) -1)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 1/3 (.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)) (cbrt.f64 9))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 9) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (.f64 3 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 (cbrt.f64 3)) (.f64 (cbrt.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 (cbrt.f64 3) (.f64 (*.f64 (cbrt.f64 9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(/.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3) 1/3)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (cbrt.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3)
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(neg.f64 (.f64 -1 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(neg.f64 (.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(cbrt.f64 (pow.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
	0.3b	(pow.f64 (/.f64 1 N) -2)
✓	0.6b	(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
✓	0.6b	(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))

Compiler

Compiled 41 to 35 computations (14.6% saved)

series11.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
1.0ms	N	@	-inf	(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
1.0ms	N	@	inf	(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
0.0ms	N	@	-inf	(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
0.0ms	N	@	inf	(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))

Compiler

Compiled 430 to 370 computations (14% saved)

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

53×	`egg-rr`
53×	`egg-rr`

Counts

2 → 106

Calls

Call 1

Inputs
(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)) (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (*.f64 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simplify250.0ms (2.9%)

Algorithm

1×

egglog

Counts

118 → 108

Calls

Call 1

Inputs
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)) (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3))
(.f64 (.f64 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
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(.f64 (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) 1) (cbrt.f64 1/9))
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(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/9) 3)
(.f64 3 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/9))
(.f64 1/9 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 3 (.f64 1/9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/9)
(*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (.f64 1/3 (*.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 9))
(.f64 (.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (cbrt.f64 1/9) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)))
(.f64 (.f64 1/3 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (sqrt.f64 3))
(.f64 (sqrt.f64 3) (.f64 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3)
(/.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1)
(pow.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 3)
(neg.f64 (.f64 -1 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(neg.f64 (.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1))
(cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3))
(.f64 (cbrt.f64 3) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)))
(.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3) (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))
(.f64 (.f64 (*.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 3)) (cbrt.f64 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 3)) (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3)))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3)))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3) 1))
(.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (cbrt.f64 3) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3) 3))
(.f64 (.f64 1/3 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 3))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (*.f64 (cbrt.f64 9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3)))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/9) 9)
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3) 1/9)
(.f64 (.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 9))
(.f64 (cbrt.f64 9) (.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (sqrt.f64 1/3) (.f64 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (*.f64 (cbrt.f64 1/9) 3))
(.f64 (.f64 (*.f64 (cbrt.f64 1/9) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (cbrt.f64 9))) (pow.f64 (cbrt.f64 (cbrt.f64 9)) 2))
(.f64 (.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 3))
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 3) (.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) 1))
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))

Outputs
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 0) (/.f64 1 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) -1)) (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(if (!=.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3) 0) (/.f64 -1/3 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3))
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) 1/3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (.f64 (*.f64 (sqrt.f64 1/3) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) (cbrt.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) 2) (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (.f64 (cbrt.f64 1/3) (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (cbrt.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 3) 1/3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)) 1/3))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/3)
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(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 1 (.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2))))
✓	0.1b	(*.f64 3 (pow.f64 (/.f64 1 N) -2))
✓	0.2b	(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
	0.3b	(pow.f64 (/.f64 1 N) -2)

Compiler

Compiled 41 to 35 computations (14.6% saved)

series19.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(*.f64 3 (pow.f64 (/.f64 1 N) -2))
0.0ms	N	@	-inf	(*.f64 3 (pow.f64 (/.f64 1 N) -2))
0.0ms	N	@	inf	(*.f64 3 (pow.f64 (/.f64 1 N) -2))
0.0ms	N	@	0	(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
0.0ms	N	@	inf	(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))

Compiler

Compiled 930 to 770 computations (17.2% saved)

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

57×	`egg-rr`
42×	`egg-rr`
22×	`egg-rr`

Counts

3 → 121

Calls

Call 1

Inputs
(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(*.f64 3 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2))))

Outputs

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(cbrt.f64 1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 1/3) (*.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 (/.f64 1 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 N) -2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/3) (*.f64 (sqrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (*.f64 (cbrt.f64 1/9) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))))))

simplify288.0ms (3.3%)

Algorithm

1×

egglog

Counts

153 → 130

Calls

Call 1

Inputs
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(*.f64 3 (pow.f64 N 2))
(*.f64 3 (pow.f64 N 2))
(*.f64 3 (pow.f64 N 2))
(*.f64 3 (pow.f64 N 2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 N) -2) -1)) (pow.f64 (/.f64 1 N) -2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 1) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 1/3))
(.f64 (sqrt.f64 1/3) (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)))
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2))
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 (cbrt.f64 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 1/9)) 2))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3))))
(*.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 1)
(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 1/3)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 1/3))
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) (cbrt.f64 1/3))
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) 1))
(.f64 (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (cbrt.f64 1/3) (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(.f64 (cbrt.f64 1/9) (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)))
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) 1) (cbrt.f64 1/9))
(.f64 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)) 3)
(.f64 3 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(/.f64 (pow.f64 (/.f64 1 N) -2) 1)
(/.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3)
(neg.f64 (*.f64 -1 (pow.f64 (/.f64 1 N) -2)))
(neg.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) -1))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3))
(if (!=.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) -1)) (*.f64 3 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 3) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)))
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 1) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) 3))
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)) 3))
(.f64 (sqrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))))
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 3))
(.f64 (sqrt.f64 3) (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)))
(.f64 (.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(.f64 (.f64 3 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))) (sqrt.f64 1/3))
(.f64 (.f64 3 (cbrt.f64 1/3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2))))
(.f64 (sqrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) 3))
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))))
(.f64 9 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)) 9)
(.f64 1 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(.f64 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 1/3)
(.f64 1/3 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) 1) 1/3)
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2)))
(.f64 (.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 (cbrt.f64 3)) (.f64 (cbrt.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2))))
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) 3))
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) (cbrt.f64 9))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (.f64 3 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 3 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))
(/.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(/.f64 (.f64 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 1) 3)
(/.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(pow.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)
(neg.f64 (.f64 -1 (.f64 3 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) -1))
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))

Outputs
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 N 2)
(*.f64 N N)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(pow.f64 (/.f64 -1 N) -2)
(*.f64 3 (pow.f64 N 2))
(.f64 3 (.f64 N N))
(*.f64 3 (pow.f64 N 2))
(.f64 3 (.f64 N N))
(*.f64 3 (pow.f64 N 2))
(.f64 3 (.f64 N N))
(*.f64 3 (pow.f64 N 2))
(.f64 3 (.f64 N N))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(*.f64 3 (pow.f64 (/.f64 -1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 1 N) -2) -1)) (pow.f64 (/.f64 1 N) -2))
(if (!=.f64 (pow.f64 (/.f64 1 N) -2) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (/.f64 1 N) -2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) (*.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 1) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 1/3))) (sqrt.f64 (sqrt.f64 1/3)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 1/3))
(pow.f64 (/.f64 1 N) -2)
(.f64 (sqrt.f64 1/3) (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 (cbrt.f64 1/9))) (pow.f64 (cbrt.f64 (cbrt.f64 1/9)) 2))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3))))
(pow.f64 (/.f64 1 N) -2)
(*.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (/.f64 1 N) -2)
(*.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 1/3)
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 1/3))) (cbrt.f64 1/3))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) (cbrt.f64 1/3))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) 1))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 1/3) (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (cbrt.f64 1/9) (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) 1) (cbrt.f64 1/9))
(pow.f64 (/.f64 1 N) -2)
(.f64 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (/.f64 1 N) -2)
(.f64 3 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(/.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(/.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 (/.f64 1 N) -2) 1)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3) 1/3)
(pow.f64 (/.f64 1 N) -2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3)
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 -1 (pow.f64 (/.f64 1 N) -2)))
(pow.f64 (/.f64 1 N) -2)
(neg.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) -1))
(pow.f64 (/.f64 1 N) -2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3))
(pow.f64 (/.f64 1 N) -2)
(if (!=.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) -1)) (*.f64 3 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (.f64 (pow.f64 (/.f64 1 N) -2) 3) 0) (/.f64 -3 (/.f64 -1 (pow.f64 (/.f64 1 N) -2))) (.f64 (pow.f64 (/.f64 1 N) -2) 3))
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) 3) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 1) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2) (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (cbrt.f64 1/9) (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2) 9)) 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 N) -2) 2)) (cbrt.f64 1/3)) 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (sqrt.f64 (sqrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (sqrt.f64 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (sqrt.f64 3) (.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))) (sqrt.f64 1/3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (cbrt.f64 1/3)) (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 3 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2))) 2) 2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (*.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (sqrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 9 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 1/3 (pow.f64 (/.f64 1 N) -2)) 9)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 1 (.f64 3 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 1/3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 1/3 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) 1) 1/3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 (cbrt.f64 3)) (.f64 (cbrt.f64 (cbrt.f64 9)) (*.f64 (cbrt.f64 9) (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 1/3) (.f64 (*.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)) (cbrt.f64 9))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 9) (.f64 (pow.f64 (/.f64 1 N) -2) (cbrt.f64 3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 3 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2)))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(*.f64 3 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(.f64 (.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) (cbrt.f64 1/3)) (cbrt.f64 3))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(/.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(/.f64 (.f64 (.f64 3 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 1) 3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(/.f64 (.f64 3 (.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(pow.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2)) 1)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(pow.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)) 1/3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 (/.f64 1 N) -2))) 3)
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(neg.f64 (.f64 -1 (.f64 3 (pow.f64 (/.f64 1 N) -2))))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(neg.f64 (.f64 (.f64 3 (pow.f64 (/.f64 1 N) -2)) -1))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 (/.f64 1 N) -2) 3)))
(*.f64 (pow.f64 (/.f64 1 N) -2) 3)
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 1 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1)) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(if (!=.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 0) (/.f64 -1 (/.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))) 2) 2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(.f64 (cbrt.f64 1/9) (.f64 (cbrt.f64 1/3) (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(/.f64 (*.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3) 1/3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 -1 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(neg.f64 (*.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) -1))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 3))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))

eval408.0ms (4.7%)

Compiler: Compiled 18610 to 16045 computations (13.8% saved)

prune167.0ms (1.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	842	6	848
Fresh	1	1	2
Picked	1	0	1
Done	3	5	8
Total	847	12	859

Error

0.1b

Counts

859 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
✓	29.2b	(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
✓	0.1b	(atan2.f64 1 (+.f64 (*.f64 N (+.f64 1 N)) 1))
✓	28.0b	(atan2.f64 1 (+.f64 N 1))
✓	29.2b	(atan2.f64 1 (*.f64 N N))
	29.2b	(atan2.f64 1 (.f64 1/3 (.f64 3 (*.f64 N N))))
✓	29.0b	(atan2.f64 1 1)
	29.3b	(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/9) 9)
	29.4b	(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3))))
	29.2b	(.f64 3 (.f64 1/3 (atan2.f64 1 (*.f64 N N))))
	29.3b	(.f64 1/3 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3))
	29.2b	(.f64 1/3 (.f64 3 (atan2.f64 1 (*.f64 N N))))

Compiler

Compiled 117 to 99 computations (15.4% saved)

regimes21.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(.f64 1/3 (.f64 3 (atan2.f64 1 (*.f64 N N))))
(.f64 3 (.f64 1/3 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (.f64 1/3 (.f64 3 (*.f64 N N))))
(atan2.f64 1 (+.f64 (*.f64 N (+.f64 1 N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (pow.f64 (/.f64 1 N) -2))
(atan2.f64 1 (+.f64 (fma.f64 N N 1) N))
(.f64 1/3 (.f64 3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))))
(.f64 (.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2)) 1/9) 9)
(atan2.f64 1 (.f64 1/3 (.f64 3 (pow.f64 (/.f64 1 N) -2))))
(.f64 1/3 (.f64 (*.f64 9 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 1/3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (pow.f64 (/.f64 1 N) -2))) 3)
(atan2.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N 1) N)) 3))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 3)
(.f64 3 (.f64 1/3 (atan2.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 N) -2)) 3))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 2))) (cbrt.f64 (atan.f64 (+.f64 N 1))))) (atan.f64 N))

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

Calls

2 calls:

11.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Results

Error	Segments	Branch
0.1b	1	`N`
0.1b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 236 to 188 computations (20.3% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(.f64 1/3 (.f64 3 (atan2.f64 1 (*.f64 N N))))
(.f64 3 (.f64 1/3 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (.f64 1/3 (.f64 3 (*.f64 N N))))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.5b	3	`N`

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.9191653530820592	1.8057189900499178
23.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

29.0ms

224×

body

256

valid

Compiler

Compiled 208 to 163 computations (21.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -54.3b remaining (-2836.5%)

Threshold costs -54.3b (-2836.5%)

Counts

2 → 3

Calls

Call 1

Inputs
(atan2.f64 1 1)
(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

Error	Segments	Branch
1.9b	3	`N`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.9191653530820592	1.8057189900499178
23.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

29.0ms

224×

body

256

valid

Compiler

Compiled 180 to 149 computations (17.2% saved)

simplify2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 60 to 43 computations (28.3% saved)

soundness0.0ms (0%)

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

end36.0ms (0.4%)

Compiler: Compiled 57 to 39 computations (31.6% saved)

Details

analyze0.0ms (0%)

sample1.6s (18.5%)

preprocess168.0ms (1.9%)

simplify63.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite89.0ms (1%)

simplify192.0ms (2.2%)

eval52.0ms (0.6%)

prune21.0ms (0.2%)

localize68.0ms (0.8%)

series82.0ms (0.9%)

rewrite109.0ms (1.3%)

simplify392.0ms (4.5%)

localize9.0ms (0.1%)

series9.0ms (0.1%)

rewrite81.0ms (0.9%)

simplify272.0ms (3.1%)

eval159.0ms (1.8%)

prune41.0ms (0.5%)

localize10.0ms (0.1%)

series11.0ms (0.1%)

rewrite82.0ms (0.9%)

simplify318.0ms (3.7%)

localize2.0ms (0%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite131.0ms (1.5%)

simplify408.0ms (4.7%)

localize38.0ms (0.4%)

series117.0ms (1.3%)

rewrite143.0ms (1.7%)

simplify564.0ms (6.5%)

eval197.0ms (2.3%)

prune67.0ms (0.8%)

localize17.0ms (0.2%)

series57.0ms (0.7%)

rewrite111.0ms (1.3%)

simplify727.0ms (8.4%)

localize4.0ms (0%)

series5.0ms (0.1%)

rewrite83.0ms (1%)

simplify240.0ms (2.8%)

localize18.0ms (0.2%)

series12.0ms (0.1%)

rewrite88.0ms (1%)

simplify229.0ms (2.6%)

localize30.0ms (0.3%)

series11.0ms (0.1%)

rewrite91.0ms (1.1%)

simplify250.0ms (2.9%)

localize35.0ms (0.4%)

series19.0ms (0.2%)

rewrite89.0ms (1%)

simplify288.0ms (3.3%)

eval408.0ms (4.7%)

prune167.0ms (1.9%)

regimes21.0ms (0.2%)

regimes14.0ms (0.2%)

bsearch39.0ms (0.5%)

regimes10.0ms (0.1%)

bsearch32.0ms (0.4%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end36.0ms (0.4%)

Profiling