Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample656.0ms (28.9%)

Results

645.0ms	8256×	body	256	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess164.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1194×	`sub-neg`
1138×	`distribute-lft-out`
868×	`associate-+r+`
716×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	28	34
2	46	34
3	91	34
4	134	34
5	216	34
6	342	34
7	620	34
8	1227	34
9	2094	34
10	4780	34
11	6467	34
12	7228	34
13	7526	34
14	7582	34
15	7614	34
16	7867	34

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify166.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
1260×	`distribute-lft-out`
1098×	`unsub-neg`
944×	`distribute-rgt-out--`
798×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	22	17
3	34	17
4	51	17
5	79	17
6	126	17
7	348	17
8	734	17
9	1549	17
10	2918	17
11	4603	17
12	5570	17
13	5888	17
14	6174	17
15	6343	17
16	6420	17
17	6687	17
18	7685	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
▶	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize23.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite60.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`pow1`
1404×	`add-exp-log`
1402×	`log1p-expm1-u`
1402×	`expm1-log1p-u`
1374×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	1986	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify69.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2014×	`fma-def`
570×	`associate-*r/`
540×	`*-commutative`
506×	`unswap-sqr`
408×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1256
1	270	1124
2	731	1014
3	2413	962
4	7145	962

Stop Event

1×	node limit

Counts

34 → 79

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/8) -1/2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(fma.f64 -1/16 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x -1/8) -1/2) 1))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) (.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (+.f64 (/.f64 1/8 (.f64 x x)) 1/2)))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (neg.f64 (.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) (+.f64 (/.f64 1/8 (.f64 x x)) 1/2)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval24.0ms (1.1%)

Compiler: Compiled 1157 to 891 computations (23% saved)

prune10.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Accurracy

100.0%

Counts

80 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
▶	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1
▶	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
▶	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize279.0ms (12.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	100.0%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 54 to 29 computations (46.3% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	0	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	inf	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)

rewrite90.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`prod-diff`
1052×	`log-prod`
956×	`fma-def`
546×	`pow-exp`
416×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	268	30
2	3621	30

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 x x))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)

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

simplify104.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

764×	`distribute-lft-in`
756×	`associate-+r+`
720×	`distribute-rgt-in`
606×	`associate-+l+`
488×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3968
1	672	3778
2	2021	3678
3	7757	3678

Stop Event

1×	node limit

Counts

126 → 168

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(+.f64 0 (.f64 -1/2 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1)
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/2 (*.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 1))
(+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)
(+.f64 0 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 -1 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(*.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (-.f64 1 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(fabs.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(hypot.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (sqrt.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(fma.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(fma.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(fma.f64 1 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)
(fma.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 1)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1 0)
(fma.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1) -1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 0)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) -1)
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 0)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 0)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 0)
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (-.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) 1)

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))) (fma.f64 -1/2 (.f64 x x) 1))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
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(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (-.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (+.f64 1 (.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -2))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (-.f64 1 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (-.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (-.f64 0 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -2))) (-.f64 2 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(pow.f64 (fma.f64 x (neg.f64 x) 1) 1/2)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 2)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fabs.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(hypot.f64 1 (sqrt.f64 (*.f64 x (neg.f64 x))))
(hypot.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (sqrt.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(hypot.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (sqrt.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1) 1/2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1) 1))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (*.f64 x (neg.f64 x)))) 2))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/3))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(+.f64 -1 (/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 1 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1) 1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1 -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 0)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) -1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (/.f64 1 (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2))) 0)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) 0)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (/.f64 1 (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 2 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) 1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 0)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) -1)) 1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 0)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) (-.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1) 1)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval112.0ms (4.9%)

Compiler: Compiled 4257 to 3225 computations (24.2% saved)

prune30.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	246	5	251

Accurracy

100.0%

Counts

251 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1
▶	99.8%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1

Compiler

Compiled 80 to 64 computations (20% saved)

localize36.0ms (1.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))
	100.0%	(.f64 -1/2 (.f64 x x))
✓	100.0%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)

Compiler

Compiled 40 to 25 computations (37.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
0.0ms	x	@	inf	(+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))
0.0ms	x	@	0	(+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)

rewrite79.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`prod-diff`
1238×	`fma-def`
858×	`log-prod`
560×	`pow-prod-down`
440×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	228	34
2	3194	30

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
(+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x))))

Outputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 x x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) 0)
(+.f64 (fma.f64 x (*.f64 -1/2 x) 2) -1)
(+.f64 0 (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) -1))
(+.f64 -1 (fma.f64 x (*.f64 -1/2 x) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(.f64 1 (fma.f64 -1/2 (.f64 x x) 1))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) 1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 x x))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (-.f64 1 (.f64 (fma.f64 x (.f64 -1/2 x) 2) -1))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)) (neg.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))
(expm1.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(expm1.f64 (.f64 (log.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(hypot.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)))))
(hypot.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 0)
(fma.f64 1 (fma.f64 x (*.f64 -1/2 x) 2) -1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 1)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 0)
(fma.f64 (fma.f64 x (*.f64 -1/2 x) 2) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 0)
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) -1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 0)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1)) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 0)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 1 (-.f64 0 (.f64 -1/2 (*.f64 x x)))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 0)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) 0)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 1)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 1)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) 1)
(-.f64 (/.f64 1 (-.f64 0 (.f64 -1/2 (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (-.f64 0 (.f64 -1/2 (*.f64 x x)))))
(.f64 1 (fma.f64 x (.f64 -1/2 x) 2))
(.f64 (fma.f64 x (.f64 -1/2 x) 2) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)) 1)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 1 (-.f64 0 (.f64 -1/2 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (.f64 -1/2 (.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (-.f64 0 (.f64 -1/2 (.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (-.f64 0 (.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2))) (neg.f64 (-.f64 0 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) 1) (.f64 -1/2 (*.f64 x x)))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) (-.f64 2 (.f64 -1/2 (*.f64 x x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) 1) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1) (-.f64 0 (.f64 -1/2 (.f64 x x))))
(pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) -1)
(pow.f64 (/.f64 (-.f64 0 (.f64 -1/2 (.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 2)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(fma.f64 (*.f64 x x) -1/2 2)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 2)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 2)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 2)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 2)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 1)
(fma.f64 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) 1 -1)
(fma.f64 (*.f64 -1/2 x) x 2)
(fma.f64 (.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) 2)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) 1)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 2)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 2)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 2)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 2)

simplify86.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

968×	`distribute-lft-in`
942×	`distribute-rgt-in`
736×	`cancel-sign-sub-inv`
566×	`unswap-sqr`
494×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5883
1	686	5549
2	2045	5457

Stop Event

1×	node limit

Counts

189 → 229

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 x x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) 0)
(+.f64 (fma.f64 x (*.f64 -1/2 x) 2) -1)
(+.f64 0 (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) -1))
(+.f64 -1 (fma.f64 x (*.f64 -1/2 x) 2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(.f64 1 (fma.f64 -1/2 (.f64 x x) 1))
(.f64 (fma.f64 -1/2 (.f64 x x) 1) 1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 x x))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (-.f64 1 (.f64 (fma.f64 x (.f64 -1/2 x) 2) -1))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)) (neg.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3))
(expm1.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(expm1.f64 (.f64 (log.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(hypot.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)))))
(hypot.f64 (sqrt.f64 (.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (*.f64 x x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 0)
(fma.f64 1 (fma.f64 x (*.f64 -1/2 x) 2) -1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 1)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 0)
(fma.f64 (fma.f64 x (*.f64 -1/2 x) 2) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 0)
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) -1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 0)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1)) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 0)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 1 (-.f64 0 (.f64 -1/2 (*.f64 x x)))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 0)
(fma.f64 (*.f64 -1/2 x) x 1)
(fma.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) 0)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 1)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 1)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 1)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 1)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) 1)
(-.f64 (/.f64 1 (-.f64 0 (.f64 -1/2 (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (-.f64 0 (.f64 -1/2 (*.f64 x x)))))
(.f64 1 (fma.f64 x (.f64 -1/2 x) 2))
(.f64 (fma.f64 x (.f64 -1/2 x) 2) 1)
(.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) (.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)) 1)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 1 (-.f64 0 (.f64 -1/2 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (.f64 -1/2 (.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (-.f64 0 (.f64 -1/2 (.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (-.f64 0 (.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2))) (neg.f64 (-.f64 0 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) 1) (.f64 -1/2 (*.f64 x x)))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) (-.f64 2 (.f64 -1/2 (*.f64 x x))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) 1) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1) (-.f64 0 (.f64 -1/2 (.f64 x x))))
(pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) -1)
(pow.f64 (/.f64 (-.f64 0 (.f64 -1/2 (.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 2)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(fma.f64 (*.f64 x x) -1/2 2)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 2)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 2)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 2)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 2)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 1)
(fma.f64 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) 1 -1)
(fma.f64 (*.f64 -1/2 x) x 2)
(fma.f64 (.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) 2)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) 1)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 2)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 2)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 2)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 2)

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 (.f64 -1/2 (.f64 x x)) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) 1) 0)
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 (fma.f64 x (*.f64 -1/2 x) 2) -1)
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 0 (fma.f64 -1/2 (*.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) -1))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 -1 (fma.f64 x (*.f64 -1/2 x) 2))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))) (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (.f64 x x) 1)))))
(.f64 1 (fma.f64 -1/2 (.f64 x x) 1))
(fma.f64 -1/2 (*.f64 x x) 1)
(.f64 (fma.f64 -1/2 (.f64 x x) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)))
(.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (*.f64 x x))))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1)))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)) (+.f64 (.f64 -1/2 (*.f64 x x)) 3))
(.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1))
(fma.f64 -1/2 (*.f64 x x) 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)) (+.f64 (.f64 -1/2 (*.f64 x x)) 3))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))) (fma.f64 (pow.f64 x 6) -1/8 1)))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x)))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (+.f64 1 (.f64 1/2 (.f64 x x)))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (-.f64 1 (.f64 (fma.f64 x (.f64 -1/2 x) 2) -1))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (+.f64 1 (.f64 1/2 (*.f64 x x))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)) (+.f64 (.f64 -1/2 (*.f64 x x)) 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1)) (neg.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)) (+.f64 (.f64 -1/2 (*.f64 x x)) 3))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))))
(.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1))
(.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/2))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) 1)) 3)
(fma.f64 -1/2 (*.f64 x x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2) 1/2)
(fma.f64 -1/2 (*.f64 x x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (+.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) -1)) -1)
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))))
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(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -1/2 (.f64 x x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (-.f64 0 (.f64 -1/2 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (neg.f64 (.f64 -1/2 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (.f64 x (.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) (.f64 (.f64 x x) 1/2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (-.f64 0 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (neg.f64 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 2 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) (neg.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -1/2 (.f64 x x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2))) (neg.f64 (-.f64 0 (.f64 -1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (neg.f64 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 2 (*.f64 x x)))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 2 (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 8 (.f64 (pow.f64 x 6) -1/8)) (+.f64 4 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (+.f64 4 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 8) (+.f64 4 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2) 1) (.f64 -1/2 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (neg.f64 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 2 (*.f64 x x)))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) (-.f64 2 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 4) 1/4)) (+.f64 2 (.f64 (*.f64 x x) 1/2)))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/4)) (+.f64 2 (.f64 x (*.f64 x 1/2))))
(/.f64 (+.f64 4 (.f64 (pow.f64 x 4) -1/4)) (+.f64 2 (.f64 (*.f64 x x) 1/2)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) 1) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (*.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -1/2 (.f64 x x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1) (-.f64 0 (.f64 -1/2 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (neg.f64 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 2 (*.f64 x x)))
(pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 1)
(fma.f64 -1/2 (*.f64 x x) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3)
(fma.f64 -1/2 (*.f64 x x) 2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2) 1/2)
(fma.f64 -1/2 (*.f64 x x) 2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) 2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1) (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/2 (.f64 x x)) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -1/2 (.f64 x x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 3)) (+.f64 (fma.f64 -1/2 (.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/4)))
(pow.f64 (/.f64 (-.f64 0 (.f64 -1/2 (.f64 x x))) (-.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (neg.f64 (.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (.f64 x (*.f64 x 1/2)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (/.f64 2 (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 2))
(fma.f64 -1/2 (*.f64 x x) 2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2))))
(fma.f64 -1/2 (*.f64 x x) 2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/2 x) 2) 3))
(fma.f64 -1/2 (*.f64 x x) 2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 1) 1))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 3))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2))) 1/3))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 -1/2 x) 2)) 3) 1/3))
(fma.f64 -1/2 (*.f64 x x) 2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2))) 2))
(fma.f64 -1/2 (*.f64 x x) 2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/2 x) 2)))
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 1 (.f64 -1/2 (.f64 x x)) 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 1 (fma.f64 -1/2 (*.f64 x x) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 1 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) -1/2 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (.f64 -1/2 (.f64 x x)) 1 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) 1 1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 1) 2)) 1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) -1/2) 2)
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (*.f64 x x))) 2)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) 2)
(fma.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 2)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1)
(+.f64 (pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2) 1)
(+.f64 1 (pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 1/2 (.f64 x x))))) 1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 x x) 1/2)))) 1)
(+.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 (*.f64 x x) 1/2 1))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2) (+.f64 (.f64 -1/2 (.f64 x x)) 3))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 3)) (+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 3 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)))))
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 1/2 (*.f64 x x)))) 1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (+.f64 1 (.f64 (*.f64 x x) 1/2))) 1)
(+.f64 1 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/4)) (fma.f64 (.f64 x x) 1/2 1)))
(+.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (*.f64 x x) -1)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 -1/2 x) 2) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (.f64 x x) 2) 2)) (+.f64 (.f64 -1/2 (*.f64 x x)) 3)))
(fma.f64 (+.f64 1 (fma.f64 x (*.f64 -1/2 x) 2)) 1 -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (*.f64 -1/2 x) x 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2)))) (cbrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x (.f64 -1/2 x) 2))) -1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) 1) 2)
(fma.f64 (+.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) (+.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2))) -1) 2)
(fma.f64 (+.f64 1 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) (+.f64 -1 (hypot.f64 1 (.f64 x (sqrt.f64 -1/2)))) 2)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) (-.f64 (sqrt.f64 (fma.f64 x (.f64 -1/2 x) 2)) 1) 1)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) 2)
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (*.f64 x x))) 2)
(fma.f64 (.f64 (.f64 -1/2 x) 1) x 2)
(fma.f64 -1/2 (*.f64 x x) 2)
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 2)
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (*.f64 x x))) 2)
(fma.f64 (.f64 (.f64 -1/2 x) (sqrt.f64 x)) (sqrt.f64 x) 2)
(fma.f64 -1/2 (*.f64 x x) 2)

eval88.0ms (3.9%)

Compiler: Compiled 4178 to 3101 computations (25.8% saved)

prune39.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	253	5	258

Accurracy

100.0%

Counts

258 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1
✓	99.8%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1

Compiler

Compiled 80 to 64 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
✓	100.0%	(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
✓	99.8%	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	99.1%	1

Compiler

Compiled 76 to 57 computations (25% saved)

regimes11.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Calls

4 calls:

4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
100.0%	1	`(-.f64 1 (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 55 to 37 computations (32.7% saved)

regimes5.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(-.f64 (+.f64 1 (+.f64 1 (.f64 -1/2 (.f64 x x)))) 1)

Outputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	20	37
2	27	37
3	31	37
4	33	37

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
1

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
1

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness97.0ms (4.3%)

Rules

2014×	`fma-def`
570×	`associate-*r/`
540×	`*-commutative`
506×	`unswap-sqr`
408×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1256
1	270	1124
2	731	1014
3	2413	962
4	7145	962

Stop Event

1×	node limit

Compiler

Compiled 15 to 12 computations (20% saved)

end0.0ms (0%)

preprocess26.0ms (1.1%)

Remove: (abs x)
Compiler: Compiled 58 to 40 computations (31% saved)

analyze2.0ms (0.1%)

sample656.0ms (28.9%)

preprocess164.0ms (7.2%)

simplify166.0ms (7.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize23.0ms (1%)

series1.0ms (0.1%)

rewrite60.0ms (2.6%)

simplify69.0ms (3%)

eval24.0ms (1.1%)

prune10.0ms (0.5%)

localize279.0ms (12.3%)

series1.0ms (0.1%)

rewrite90.0ms (4%)

simplify104.0ms (4.6%)

eval112.0ms (4.9%)

prune30.0ms (1.3%)

localize36.0ms (1.6%)

series1.0ms (0%)

rewrite79.0ms (3.5%)

simplify86.0ms (3.8%)

eval88.0ms (3.9%)

prune39.0ms (1.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.5%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

simplify5.0ms (0.2%)

soundness97.0ms (4.3%)

end0.0ms (0%)

preprocess26.0ms (1.1%)

Profiling