Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (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
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample999.0ms (30.1%)

Results

987.0ms	8256×	body	256	valid
1.0ms	17×	body	256	invalid

Bogosity

preprocess175.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1242×	`sub-neg`
1138×	`distribute-lft-out`
842×	`associate-+r+`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	39	82
2	61	82
3	119	82
4	174	82
5	256	82
6	382	82
7	656	82
8	1268	82
9	2148	82
10	4774	82
11	6496	82
12	7274	82
13	7572	82
14	7628	82
15	7660	82
16	7937	82

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify173.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	27	39
3	39	39
4	56	39
5	84	39
6	131	39
7	347	39
8	736	39
9	1570	39
10	2942	39
11	4651	39
12	5594	39
13	5912	39
14	6198	39
15	6367	39
16	6444	39
17	6711	39
18	7709	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize59.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite91.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`log-prod`
848×	`fma-def`
812×	`pow-prod-down`
616×	`pow-exp`
572×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	246	88
2	3574	88

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify131.0ms (4%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-neg`
706×	`div-sub`
566×	`exp-prod`
564×	`fma-def`
486×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	583	9691
1	1430	9031
2	5055	8869

Stop Event

1×	node limit

Counts

281 → 387

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

eval137.0ms (4.1%)

Compiler: Compiled 7871 to 5404 computations (31.3% saved)

prune53.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	384	3	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	385	3	388

Accurracy

100.0%

Counts

388 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.0%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.0%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize366.0ms (11%)

Local Accuracy

Found 6 expressions with local accuracy:

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

Compiler

Compiled 90 to 59 computations (34.4% saved)

series3.0ms (0.1%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	-inf	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	inf	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
0.0ms	x	@	inf	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

rewrite358.0ms (10.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`log-prod`
1192×	`fma-def`
624×	`expm1-udef`
620×	`log1p-udef`
464×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
1	372	86
2	4997	86

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify112.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1780×	`times-frac`
544×	`associate-+r+`
396×	`cancel-sign-sub-inv`
378×	`sub-neg`
346×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	6689
1	1134	6351
2	3791	6181

Stop Event

1×	node limit

Counts

199 → 328

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.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 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.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 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.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 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))) (/.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (.f64 x x) 1/4))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 4 (pow.f64 x -2))) (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 -1/2 (.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2))) (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 (.f64 x x) 1/4)) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) x) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (exp.f64 (/.f64 2 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -1/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (*.f64 -1/2 x) 1 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (.f64 4 (pow.f64 x -2))) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) 2) (.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 -1/2 x)) (cbrt.f64 (.f64 (*.f64 x x) 1/4)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2) (.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (/.f64 2 x))
(fma.f64 (.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (.f64 -1/2 x))
(fma.f64 (.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(+.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4)))))
(+.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (/.f64 1 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)) (.f64 (*.f64 x x) 1/4))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 4 (pow.f64 x -2)))) (log.f64 (fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))) 1)
(*.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(.f64 (cbrt.f64 (pow.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)))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 x)))
(.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)) (/.f64 1 x)))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 x)))
(*.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)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.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 x x) (/.f64 1 (-.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 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(*.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)))
(*.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)))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 x x)))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(fma.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 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) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 1)

Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (.f64 x x) (-.f64 (.f64 -1/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (-.f64 (.f64 -1/32 (pow.f64 x 4)) (log.f64 x))) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)) (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4)))) (log.f64 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -8 (pow.f64 x 4)))) (/.f64 64/3 (pow.f64 x 6))) (/.f64 -4 (*.f64 x x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
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(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(.f64 (.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 3)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3) 1/3)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)) 2)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) -1)
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 2))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x) 3))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (log.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) x)
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (/.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 1 (+.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 (-.f64 1 (*.f64 x x))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2)))
(*.f64 (cbrt.f64 (pow.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)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (pow.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)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.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)))
(pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(*.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)))))))
(*.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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 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))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))))
(*.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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 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))))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 (.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(*.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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 (fma.f64 x (neg.f64 x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 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))))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1))
(/.f64 (.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(*.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))))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (fma.f64 x (neg.f64 x) 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))))))
(pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (hypot.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 2)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.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 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.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 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3))
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(expm1.f64 (log1p.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 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.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 (-.f64 1 (*.f64 x x))))
(fma.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (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)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (.f64 x x))) 1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (.f64 x x))) 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) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) 1)

eval185.0ms (5.6%)

Compiler: Compiled 8234 to 5993 computations (27.2% saved)

prune102.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	483	0	483
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	483	3	486

Accurracy

100.0%

Counts

486 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.0%	(log.f64 (/.f64 2 x))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes12.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	31	73
2	38	73
3	42	73
4	44	73

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness269.0ms (8.1%)

Rules

1138×	`log-prod`
848×	`fma-def`
812×	`pow-prod-down`
726×	`fma-neg`
706×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	246	88
2	3574	88
0	583	9691
1	1430	9031
2	5055	8869

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 170 to 116 computations (31.8% saved)

end0.0ms (0%)

preprocess69.0ms (2.1%)

Compiler: Compiled 80 to 60 computations (25% saved)

analyze3.0ms (0.1%)

sample999.0ms (30.1%)

preprocess175.0ms (5.3%)

simplify173.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize59.0ms (1.8%)

series3.0ms (0.1%)

rewrite91.0ms (2.7%)

simplify131.0ms (4%)

eval137.0ms (4.1%)

prune53.0ms (1.6%)

localize366.0ms (11%)

series3.0ms (0.1%)

rewrite358.0ms (10.8%)

simplify112.0ms (3.4%)

eval185.0ms (5.6%)

prune102.0ms (3.1%)

regimes12.0ms (0.4%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness269.0ms (8.1%)

end0.0ms (0%)

preprocess69.0ms (2.1%)

Profiling