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)

sample1.9s (36.2%)

Results

881.0ms	2182×	body	2048	valid
624.0ms	4478×	body	256	valid
322.0ms	1061×	body	1024	valid
85.0ms	535×	body	512	valid

Bogosity

preprocess18.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(atan.f64 (+.f64 N 1))
✓	1.4b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 310 to 235 computations (24.2% saved)

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
827×	`add-log-exp_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	17
2	2213	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs
((#(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 (atan.f64 (+.f64 N 1)) (.f64 (neg.f64 (atan.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 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 1 (-.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 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))) (#(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 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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(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 expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(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 (pow.f64 (cbrt.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 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) 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 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(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 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))) (#(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 sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 N 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 expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))))))

Outputs

((#(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 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 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 1 (-.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 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))) (#(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 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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(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 expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (*.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (#(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 (pow.f64 (cbrt.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 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (+.f64 N 1))) 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 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 N 1)) 1)))) (#(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 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)))) (#(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 sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 N 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 expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))))))

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`fma-neg_binary64`
539×	`fma-def_binary64`
303×	`unswap-sqr_binary64`
272×	`log-prod_binary64`
229×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	896
1	299	806
2	1214	752
3	6239	752

Stop Event

1×	node limit

Counts

52 → 62

Calls

Call 1

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

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

eval17.0ms (0.3%)

Compiler: Compiled 908 to 601 computations (33.8% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.4b

Counts

63 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 N (+.f64 N 1))))
▶	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))
✓	15.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

Compiler

Compiled 31 to 22 computations (29% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 N 1))
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 N 1)))

Compiler

Compiled 20 to 12 computations (40% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 600 to 445 computations (25.8% saved)

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`pow1_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
542×	`add-log-exp_binary64`
531×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	122	19
2	1492	19

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.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 N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.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 N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))))

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

343×	`log-prod_binary64`
337×	`fma-def_binary64`
337×	`fma-neg_binary64`
336×	`unswap-sqr_binary64`
283×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	518
1	199	456
2	843	402
3	4224	390

Stop Event

1×	node limit

Counts

39 → 53

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 N (+.f64 N 1))
✓	0.0b	(atan2.f64 (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 N (+.f64 N 1))))
✓	2.9b	(-.f64 (+.f64 N 1) N)

Compiler

Compiled 36 to 24 computations (33.3% saved)

series13.0ms (0.2%)

Counts

3 → 0

Calls

9 calls:

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

Compiler

Compiled 1070 to 845 computations (21% saved)

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`unpow-prod-down_binary64`
544×	`fma-def_binary64`
410×	`log-prod_binary64`
297×	`pow-prod-down_binary64`
270×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	184	29
2	2669	29

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (-.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 (-.f64 1 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (*.f64 (neg.f64 N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 N) 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (-.f64 1 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N (-.f64 1 N)) (+.f64 (neg.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 N (-.f64 1 N)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 N (-.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 N (-.f64 1 N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 N (-.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 N (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N (-.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1 N))) 2) (cbrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N (-.f64 1 N))) (sqrt.f64 (+.f64 N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (+.f64 N (+.f64 N 1)) (pow.f64 (+.f64 N 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) (pow.f64 N 3)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 2) 3) (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 (+.f64 N (-.f64 1 N)) (+.f64 1 (fma.f64 N N N))))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 N N -1) N) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 N (fma.f64 N N -1)) (+.f64 N -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N N) 2) 1/2)))) (#(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 (hypot.f64 N (sqrt.f64 N)) 2)))) (#(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 sqrt.f64 (pow.f64 (fma.f64 N N N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 N) (exp.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 N N)) (+.f64 1 (expm1.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 N N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 N N N))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N N N)))) (#(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 1 (+.f64 1 (fma.f64 N N N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 N N N)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 N N) 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 N (sqrt.f64 (+.f64 N 1))) (hypot.f64 N (sqrt.f64 (+.f64 N 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (-.f64 (fma.f64 N N N) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 N) N) (pow.f64 (cbrt.f64 N) 2) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) N)))))

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

532×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
482×	`unswap-sqr_binary64`
445×	`times-frac_binary64`
264×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	1929
1	1145	1774
2	2656	1718

Stop Event

1×	node limit

Counts

217 → 261

Calls

Call 1

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

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

eval122.0ms (2.3%)

Compiler: Compiled 6073 to 3986 computations (34.4% saved)

prune58.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	308	6	314
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	310	7	317

Error

0.3b

Counts

317 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
▶	1.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
▶	21.4b	(atan2.f64 1 (/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N))))
▶	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
✓	15.5b	(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
	1.7b	(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
▶	1.7b	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Compiler

Compiled 190 to 136 computations (28.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 N (+.f64 N 1))
✓	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 490 to 410 computations (16.3% saved)

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
741×	`add-log-exp_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	11
2	2057	11

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(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 *.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 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (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 expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

530×	`log-prod_binary64`
492×	`fma-neg_binary64`
371×	`exp-prod_binary64`
262×	`sqr-pow_binary64`
250×	`exp-sum_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	272
1	72	224
2	282	176
3	1671	176
4	3919	176
5	5770	176

Stop Event

1×	node limit

Counts

16 → 19

Calls

Call 1

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

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

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 N (.f64 N N))
✓	0.4b	(atan2.f64 1 (/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N))))
✓	11.0b	(-.f64 (.f64 N (.f64 N (*.f64 N N))) (pow.f64 (+.f64 1 N) 2))
✓	18.7b	(/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (pow.f64 (+.f64 1 N) 2)) (-.f64 (.f64 N N) (+.f64 1 N)))

Compiler

Compiled 91 to 40 computations (56% saved)

series29.0ms (0.5%)

Counts

4 → 0

Calls

12 calls:

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

Compiler

Compiled 3060 to 2545 computations (16.8% saved)

rewrite107.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`fma-def_binary64`
673×	`log-prod_binary64`
388×	`fma-neg_binary64`
237×	`log1p-udef_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	302	36
2	4254	36

Stop Event

1×	node limit

Counts

4 → 239

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 N 1) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 N N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 N 4) (fma.f64 N (-.f64 N 1) -1)) (neg.f64 (/.f64 (pow.f64 (+.f64 N 1) 2) (fma.f64 N (-.f64 N 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 N N 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 N N 1) N))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 N N 1) N))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 N N 1) N)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 N N 1) N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (fma.f64 N (-.f64 N 1) 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(pow.f64 N 4) (pow.f64 (+.f64 N 1) 2) (pow.f64 (+.f64 N 1) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (pow.f64 N 4) 2) (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 1 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (pow.f64 N 4) 2) (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (+.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (pow.f64 N 4) 2) (pow.f64 (+.f64 N 1) 4)) (/.f64 1 (+.f64 (pow.f64 N 4) (pow.f64 (+.f64 N 1) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (cbrt.f64 (pow.f64 (+.f64 N 1) 4)) (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2))) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2))) (sqrt.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2))) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (+.f64 N 1) 2) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 N 1) 4))) (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 N 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 N (pow.f64 N 3/2)) (pow.f64 N 3/2) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 N (pow.f64 N 3/2)) (pow.f64 N 3/2) (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 N N) (.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 N N) (.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2) (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 N 3) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 N 3) (sqrt.f64 N)) (sqrt.f64 N) (neg.f64 (pow.f64 (+.f64 N 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 N 3) (sqrt.f64 N)) (sqrt.f64 N) (*.f64 (neg.f64 (pow.f64 (+.f64 N 1) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)))) 1)))) (#(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 (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 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(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 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 3) 1/3)))) (#(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 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (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 expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N 1) N))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 N 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 N 3))) (cbrt.f64 (exp.f64 (pow.f64 N 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 N 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 N 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 N 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 N 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 N 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) 1)) (cbrt.f64 (+.f64 (pow.f64 N 3) 1))) (cbrt.f64 (+.f64 (pow.f64 N 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 N 3/2)) (hypot.f64 1 (pow.f64 N 3/2)) -1)))))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

331×	`fma-neg_binary64`
260×	`associate-/l/_binary64`
232×	`div-sub_binary64`
232×	`log-prod_binary64`
222×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	4720
1	1146	4367
2	4027	4264

Stop Event

1×	node limit

Counts

239 → 307

Calls

Call 1

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

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

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	1.4b	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
✓	13.6b	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 39 to 25 computations (35.9% saved)

series72.0ms (1.3%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	N	@	inf	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
21.0ms	N	@	0	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
12.0ms	N	@	-inf	(log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))
0.0ms	N	@	0	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
0.0ms	N	@	inf	(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))

Compiler

Compiled 2020 to 1385 computations (31.4% saved)

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
615×	`add-log-exp_binary64`
615×	`log1p-expm1-u_binary64`
615×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
1	145	43
2	1672	43

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.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 N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 2) (cbrt.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (.f64 (.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N (+.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 N N (+.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N (+.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N N (+.f64 1 N))))))))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

560×	`unswap-sqr_binary64`
553×	`log-prod_binary64`
498×	`fma-def_binary64`
497×	`fma-neg_binary64`
360×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1160
1	272	1026
2	1145	900
3	6194	900

Stop Event

1×	node limit

Counts

81 → 72

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
✓	0.2b	(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 3)
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	13.4b	(cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series22.0ms (0.4%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 2110 to 1570 computations (25.6% saved)

rewrite52.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`pow1_binary64`
711×	`add-log-exp_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	188	24
2	1969	24

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

483×	`unswap-sqr_binary64`
464×	`fma-def_binary64`
423×	`log-prod_binary64`
413×	`exp-prod_binary64`
366×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	714
1	156	600
2	498	486
3	2426	473

Stop Event

1×	node limit

Counts

39 → 48

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 N N (+.f64 1 N))
	0.4b	(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)
✓	12.9b	(sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series14.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 1290 to 930 computations (27.9% saved)

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`pow1_binary64`
681×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	186	24
2	1917	24

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4)) (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))))))

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

512×	`exp-sum_binary64`
371×	`unswap-sqr_binary64`
346×	`fma-def_binary64`
321×	`log-prod_binary64`
316×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	669
1	143	558
2	510	447
3	2357	447
4	5994	447

Stop Event

1×	node limit

Counts

37 → 43

Calls

Call 1

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

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

eval356.0ms (6.7%)

Compiler: Compiled 13099 to 9361 computations (28.5% saved)

prune143.0ms (2.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	606	11	617
Fresh	0	1	1
Picked	1	0	1
Done	4	1	5
Total	611	13	624

Error

0.3b

Counts

624 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
	1.9b	(pow.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))) 2)
▶	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
	1.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 3)
▶	29.6b	(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))
▶	0.5b	(atan2.f64 1 (fma.f64 (.f64 N (cbrt.f64 N)) (sqrt.f64 (.f64 N (cbrt.f64 N))) (+.f64 N 1)))
▶	6.4b	(atan2.f64 1 (+.f64 (.f64 N N) (/.f64 (-.f64 1 (.f64 N N)) (-.f64 1 N))))
	21.4b	(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (-.f64 (.f64 N N) N))))
	19.3b	(atan2.f64 1 (+.f64 1 (/.f64 N (/.f64 (-.f64 (fma.f64 N N 1) N) (+.f64 1 (pow.f64 N 3))))))
✓	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
	1.0b	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
	1.7b	(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N)))))
▶	1.7b	(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))))

Compiler

Compiled 432 to 308 computations (28.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 N (cbrt.f64 N))
✓	0.4b	(atan2.f64 1 (fma.f64 (.f64 N (cbrt.f64 N)) (sqrt.f64 (.f64 N (cbrt.f64 N))) (+.f64 N 1)))
✓	0.6b	(cbrt.f64 N)
✓	12.4b	(sqrt.f64 (*.f64 N (cbrt.f64 N)))

Compiler

Compiled 45 to 15 computations (66.7% saved)

series67.0ms (1.3%)

Counts

4 → 0

Calls

12 calls:

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

Compiler

Compiled 6335 to 4660 computations (26.4% saved)

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`pow1_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
738×	`add-log-exp_binary64`
720×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	182	28
2	2221	28

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 N (cbrt.f64 N)))
(cbrt.f64 N)
(atan2.f64 1 (fma.f64 (.f64 N (cbrt.f64 N)) (sqrt.f64 (.f64 N (cbrt.f64 N))) (+.f64 N 1)))
(*.f64 N (cbrt.f64 N))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 N) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 N) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 N) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 1/6) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 1/6) (.f64 (pow.f64 N 1/6) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (.f64 N (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (cbrt.f64 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 N) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 N 1/6) (pow.f64 N 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 N)) (sqrt.f64 (pow.f64 N 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 N (cbrt.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N (cbrt.f64 N)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 N 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 N)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 N (cbrt.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 N 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 N (cbrt.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 N) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 N (cbrt.f64 N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 N 3) N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 N (cbrt.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 N (cbrt.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 N 3) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 N (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 N (cbrt.f64 N))))))))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
531×	`distribute-rgt-in_binary64`
474×	`distribute-lft-in_binary64`
418×	`log-prod_binary64`
282×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	972
1	278	736
2	986	531
3	3468	528
4	7732	528

Stop Event

1×	node limit

Counts

77 → 95

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 N N))
✓	0.0b	(+.f64 (.f64 N N) (/.f64 (-.f64 1 (.f64 N N)) (-.f64 1 N)))
✓	0.4b	(atan2.f64 1 (+.f64 (.f64 N N) (/.f64 (-.f64 1 (.f64 N N)) (-.f64 1 N))))
✓	12.9b	(/.f64 (-.f64 1 (*.f64 N N)) (-.f64 1 N))

Compiler

Compiled 51 to 26 computations (49% saved)

series30.0ms (0.6%)

Counts

4 → 0

Calls

12 calls:

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

Compiler

Compiled 2540 to 2095 computations (17.5% saved)

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
389×	`fma-def_binary64`
344×	`pow-prod-down_binary64`
278×	`pow2_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	210	30
2	3188	30

Stop Event

1×	node limit

Counts

4 → 206

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 N)) (neg.f64 (/.f64 (.f64 N N) (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 N))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 N)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 N)) (/.f64 (.f64 N N) (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 N N)) (/.f64 1 (-.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 N) 1)))) (#(struct:change #<rule 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(sqrt.f64 (-.f64 1 (.f64 N N))) (-.f64 1 N)) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) 2) (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (cbrt.f64 (+.f64 1 N)) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 N N))) (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 N N))) (cbrt.f64 (-.f64 1 N))) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) 2) (sqrt.f64 (-.f64 1 N))) (/.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) (sqrt.f64 (-.f64 1 N))) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (.f64 N N))) (+.f64 1 N) (neg.f64 (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 N 3))) (+.f64 1 (fma.f64 N N N)) (neg.f64 (-.f64 (/.f64 (.f64 N N) (-.f64 1 N)) (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (.f64 N N)) (-.f64 1 (pow.f64 N 3))) (+.f64 1 (fma.f64 N N N)) (.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (+.f64 1 N))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 N (neg.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 N (neg.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 N N)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) 2) (cbrt.f64 (-.f64 1 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 N N))) (sqrt.f64 (-.f64 1 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 N 6)) (/.f64 1 (+.f64 1 (fma.f64 N N (pow.f64 N 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 N 4)) (/.f64 1 (fma.f64 N N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 N N (pow.f64 N 4))) (-.f64 1 (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 N 6)) (+.f64 1 (fma.f64 N N (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 N 4)) (fma.f64 N N 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 N 6))) (neg.f64 (+.f64 1 (fma.f64 N N (pow.f64 N 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 N 4))) (neg.f64 (fma.f64 N N 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 N (neg.f64 N)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 N (neg.f64 N)) 2) (.f64 N (neg.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (.f64 N (neg.f64 N)) 2)) (-.f64 1 (.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 N N)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 N N (pow.f64 N 4))) (-.f64 1 (pow.f64 N 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 N N 1) (-.f64 1 (pow.f64 N 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 N (neg.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 N (neg.f64 N)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 N (neg.f64 N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 N (neg.f64 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 N (neg.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 N (neg.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 N) N) (neg.f64 (cbrt.f64 (.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 N) N 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 N (neg.f64 N))) 2) (cbrt.f64 (.f64 N (neg.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 N (neg.f64 N))) (sqrt.f64 (.f64 N (neg.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (.f64 (cbrt.f64 N) N)) (cbrt.f64 (.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 N) 1) N 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 N) (cbrt.f64 (.f64 N N))) (cbrt.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 N) (sqrt.f64 N)) (sqrt.f64 N) 1)))))

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

365×	`associate-/r*_binary64`
315×	`cancel-sign-sub-inv_binary64`
289×	`fma-neg_binary64`
237×	`sqr-pow_binary64`
208×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	2952
1	1006	2546
2	3388	2540

Stop Event

1×	node limit

Counts

206 → 261

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 N N) N)
✓	0.4b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
✓	1.4b	(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))))
✓	13.6b	(log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))

Compiler

Compiled 48 to 21 computations (56.3% saved)

series81.0ms (1.5%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	N	@	0	(log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))
16.0ms	N	@	inf	(log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))
13.0ms	N	@	-inf	(log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))
0.0ms	N	@	0	(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))))
0.0ms	N	@	-inf	(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))))

Compiler

Compiled 2630 to 2165 computations (17.7% saved)

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	179	40
2	2379	40

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(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 .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 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (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 expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(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 .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 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (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 expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 N N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 N 4) (-.f64 (.f64 N N) N)) (/.f64 (.f64 N N) (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 N N N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 N (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 N N N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (.f64 (cbrt.f64 (fma.f64 N N N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 N (sqrt.f64 N)) (.f64 (hypot.f64 N (sqrt.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (+.f64 (pow.f64 N 4) (-.f64 (.f64 N N) (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (/.f64 1 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 N) N)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 N) (cbrt.f64 (.f64 N N))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 N 4) (-.f64 (.f64 N N) (pow.f64 N 3))) (+.f64 (pow.f64 N 3) (pow.f64 N 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 N N) N) (-.f64 (pow.f64 N 4) (.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (pow.f64 N 4) (-.f64 (.f64 N N) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (+.f64 (.f64 N N) (-.f64 (pow.f64 N 4) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (-.f64 (.f64 N N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6))) (neg.f64 (+.f64 (pow.f64 N 4) (-.f64 (.f64 N N) (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N 4) (.f64 N N))) (neg.f64 (-.f64 (.f64 N N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 N N) (pow.f64 N 4)) (-.f64 N (.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) 1) (+.f64 (pow.f64 N 4) (-.f64 (.f64 N N) (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) 1) (-.f64 (.f64 N N) N))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 N N N) 1)))) (#(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 (hypot.f64 N (sqrt.f64 N)) 2)))) (#(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 sqrt.f64 (pow.f64 (fma.f64 N N N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 N N N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 N 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 1 (.f64 N N) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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 fma.f64 (cbrt.f64 (pow.f64 N 4)) (cbrt.f64 (.f64 N N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))))))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
575×	`log-prod_binary64`
561×	`unswap-sqr_binary64`
382×	`fma-def_binary64`
273×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1548
1	343	1338
2	1274	1133
3	6123	1133

Stop Event

1×	node limit

Counts

100 → 94

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 N N) N)
	0.4b	(atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))
✓	0.6b	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
✓	12.9b	(sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1)))

Compiler

Compiled 50 to 23 computations (54% saved)

series18.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 1730 to 1490 computations (13.9% saved)

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	219	24
2	2598	24

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 1/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (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))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)))) (#(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 *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (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 expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

407×	`exp-sum_binary64`
371×	`unswap-sqr_binary64`
368×	`exp-prod_binary64`
353×	`log-prod_binary64`
350×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	471
1	144	471
2	528	471
3	2759	471
4	6248	471

Stop Event

1×	node limit

Counts

39 → 40

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1))
✓	0.3b	(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series18.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	N	@	inf	(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1))
1.0ms	N	@	-inf	(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1))
1.0ms	N	@	0	(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1))
0.0ms	N	@	0	(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))
0.0ms	N	@	-inf	(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))

Compiler

Compiled 1710 to 1315 computations (23.1% saved)

rewrite43.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
759×	`add-log-exp_binary64`
759×	`log1p-expm1-u_binary64`
759×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	190	23
2	2255	23

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 1 N) (*.f64 N 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 N) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 N N) 1) (+.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) 1) N)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 N N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 N) (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 2) (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) (sqrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (+.f64 1 N) 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (pow.f64 (+.f64 1 N) 2) (*.f64 (*.f64 N N) (+.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (pow.f64 (+.f64 1 N) 2)) (-.f64 (*.f64 N N) (+.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 1 N) (*.f64 N N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 1 N) (*.f64 N N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 1 N) (*.f64 N N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 1 N) (*.f64 N N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 1 N) (*.f64 N N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 1 N) (*.f64 N N))))))))

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
342×	`fma-def_binary64`
306×	`unswap-sqr_binary64`
280×	`log-prod_binary64`
253×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	518
1	208	456
2	869	402
3	4097	390

Stop Event

1×	node limit

Counts

39 → 51

Calls

Call 1

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

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

eval280.0ms (5.3%)

Compiler: Compiled 11016 to 6647 computations (39.7% saved)

prune141.0ms (2.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	637	4	641
Fresh	3	4	7
Picked	0	1	1
Done	2	3	5
Total	642	12	654

Error

0.3b

Counts

654 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) 2) 2)
✓	1.0b	(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 2)
	1.7b	(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))) 3)
✓	29.6b	(atan2.f64 1 (fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 N 1)))
	0.5b	(atan2.f64 1 (fma.f64 (.f64 (cbrt.f64 N) N) (cbrt.f64 (.f64 N N)) (+.f64 1 N)))
	0.4b	(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 1 N) (*.f64 N N))) 1))
	0.9b	(atan2.f64 1 (+.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 6)))
	21.4b	(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 (pow.f64 N 4) (.f64 N N)) (-.f64 (.f64 N N) N))))
✓	0.4b	(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
	1.0b	(.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))) 1/4) (sqrt.f64 (atan2.f64 1 (fma.f64 N N (+.f64 1 N))))))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (.f64 N N)))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (+.f64 N 1) (*.f64 N N)))))
✓	1.7b	(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (+.f64 (*.f64 N N) N) 1))))

Compiler

Compiled 189 to 139 computations (26.5% saved)

regimes24.0ms (0.5%)

Accuracy

Total -45.5b remaining (-12533.6%)

Threshold costs -45.5b (-12533.6%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.4b	1	`N`
0.4b	1	`(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))`

Compiler

Compiled 362 to 240 computations (33.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness155.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

1016×	`fma-neg_binary64`
539×	`fma-def_binary64`
532×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
482×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	896
1	299	806
2	1214	752
3	6239	752
0	449	1929
1	1145	1774
2	2656	1718

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 52 to 38 computations (26.9% saved)

end13.0ms (0.2%)

Compiler: Compiled 10 to 8 computations (20% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11

Details

analyze0.0ms (0%)

sample1.9s (36.2%)

preprocess18.0ms (0.3%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite46.0ms (0.9%)

simplify45.0ms (0.9%)

eval17.0ms (0.3%)

prune7.0ms (0.1%)

localize16.0ms (0.3%)

series7.0ms (0.1%)

rewrite40.0ms (0.8%)

simplify39.0ms (0.7%)

localize13.0ms (0.2%)

series13.0ms (0.2%)

rewrite62.0ms (1.2%)

simplify96.0ms (1.8%)

eval122.0ms (2.3%)

prune58.0ms (1.1%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite40.0ms (0.8%)

simplify43.0ms (0.8%)

localize26.0ms (0.5%)

series29.0ms (0.5%)

rewrite107.0ms (2%)

simplify93.0ms (1.8%)

localize30.0ms (0.6%)

series72.0ms (1.3%)

rewrite50.0ms (0.9%)

simplify51.0ms (1%)

localize18.0ms (0.3%)

series22.0ms (0.4%)

rewrite52.0ms (1%)

simplify37.0ms (0.7%)

localize17.0ms (0.3%)

series14.0ms (0.3%)

rewrite49.0ms (0.9%)

simplify46.0ms (0.9%)

eval356.0ms (6.7%)

prune143.0ms (2.7%)

localize15.0ms (0.3%)

series67.0ms (1.3%)

rewrite50.0ms (0.9%)

simplify57.0ms (1.1%)

localize18.0ms (0.3%)

series30.0ms (0.6%)

rewrite67.0ms (1.3%)

simplify67.0ms (1.3%)

localize16.0ms (0.3%)

series81.0ms (1.5%)

rewrite57.0ms (1.1%)

simplify69.0ms (1.3%)

localize15.0ms (0.3%)

series18.0ms (0.3%)

rewrite48.0ms (0.9%)

simplify43.0ms (0.8%)

localize17.0ms (0.3%)

series18.0ms (0.3%)

rewrite43.0ms (0.8%)

simplify38.0ms (0.7%)

eval280.0ms (5.3%)

prune141.0ms (2.7%)

regimes24.0ms (0.5%)

simplify2.0ms (0%)

soundness155.0ms (2.9%)

end13.0ms (0.2%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	122	11
8	168	11
9	204	11
10	230	11
11	232	11