Details

analyze4.0ms (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)

sample981.0ms (23.8%)

Results

967.0ms	8256×	body	256	valid
2.0ms	20×	body	256	invalid

Bogosity

preprocess137.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify141.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	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

Error

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
✓	0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

Compiler

Compiled 53 to 29 computations (45.3% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite109.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`associate-/r*`
970×	`associate-/l*`
728×	`distribute-rgt-in`
680×	`distribute-lft-in`
536×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	88
1	245	88
2	3503	88

Stop Event

1×	node limit

Counts

4 → 305

Calls

Call 1

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

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

simplify142.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-r`
930×	`associate-l`
726×	`associate-/r*`
650×	`*-commutative`
584×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	833	18659
1	2322	17707

Stop Event

1×	node limit

Counts

353 → 538

Calls

Call 1

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

Outputs
(/.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))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.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 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))))
(-.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 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))))
(-.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 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(fma.f64 -1 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))))
(-.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 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 -1 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)))))
(-.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))))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (/.f64 (/.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))
(/.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))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 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 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 1 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)))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (.f64 x x)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x))) (neg.f64 (*.f64 x x)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (+.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 (pow.f64 x 4) 3)) (.f64 (+.f64 1 (.f64 x x)) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1 (.f64 x x)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (*.f64 x x))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 x 12)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (+.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 x 12)))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (+.f64 -1 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (-.f64 (-.f64 -1 (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) (cbrt.f64 (+.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (cbrt.f64 (+.f64 1 (.f64 x x)))) (.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) (cbrt.f64 (+.f64 1 (.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (fma.f64 x x (+.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 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4))))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(-.f64 1 (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(-.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(-.f64 1 (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 1 (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(-.f64 1 (*.f64 x x))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (neg.f64 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) 1))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.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))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(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)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 1/2 (log1p.f64 (neg.f64 (.f64 x x)))))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (*.f64 x x)))) 1))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

eval569.0ms (13.8%)

Compiler: Compiled 14202 to 9244 computations (34.9% saved)

prune138.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	535	3	538
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	536	3	539

Error

Counts

539 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.7b	(log.f64 (/.f64 2 x))
▶	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	0.0b	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0.1%)

Counts

2 → 15

Calls

6 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)))

rewrite118.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`*-commutative`
936×	`associate-*r/`
762×	`unswap-sqr`
610×	`swap-sqr`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	249	34
2	2988	34

Stop Event

1×	node limit

Counts

2 → 123

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))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) (-.f64 1 (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/2 x))) (-.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 -1/2 x (/.f64 -2 x))) (/.f64 (pow.f64 x -2) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/2 x) (exp.f64 (log1p.f64 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 x) (exp.f64 (log1p.f64 (.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (.f64 (.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4))) (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (pow.f64 x -2) -4)) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 (/.f64 4 x) x) (.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)) (+.f64 (/.f64 2 x) (.f64 x 1/2)))))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 -2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (-.f64 (/.f64 (/.f64 4 x) x) (.f64 x (/.f64 -1 x))) 3))) (+.f64 (.f64 (.f64 x 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Outputs

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simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1888×	`associate-*r/`
1562×	`associate-*l/`
652×	`+-commutative`
438×	`associate-+r+`
426×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	6928
1	1047	6308
2	4155	6284

Stop Event

1×	node limit

Counts

138 → 245

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

localize6.0ms (0.2%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
	0.0b	(-.f64 1 (*.f64 x x))

Compiler

Compiled 46 to 26 computations (43.5% saved)

eval288.0ms (7%)

Compiler: Compiled 9681 to 7157 computations (26.1% saved)

prune62.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	401	1	402
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	401	4	405

Error

Counts

405 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.1b	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
✓	0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

localize28.0ms (0.7%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(log.f64 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2))))

✓

0.1b

(/.f64 4 (*.f64 x x))

✓

32.6b

(/.f64 (+.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))

Compiler

Compiled 82 to 47 computations (42.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
0.0ms	x	@	0	(/.f64 4 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2)))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))

rewrite98.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`associate-/l*`
724×	`associate-/r/`
704×	`associate-/l/`
384×	`add-sqr-sqrt`
366×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	119
1	382	111
2	5210	111

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2)))

(/.f64 4 (*.f64 x x))

(log.f64 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (*.f64 x 1/2))))

Outputs

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

simplify122.0ms (3%)

Algorithm

1×	egg-herbie

Rules

904×	`+-commutative`
892×	`associate-+r+`
846×	`associate-+l+`
614×	`associate-r`
598×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	9988
1	1234	9342
2	5430	9338

Stop Event

1×	node limit

Counts

182 → 269

Calls

Call 1

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

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

eval856.0ms (20.8%)

Compiler: Compiled 7991 to 5615 computations (29.7% saved)

prune36.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	269	4	273

Error

Counts

273 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.1b	(log.f64 (/.f64 (+.f64 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
✓	0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.7b	(log.f64 (/.f64 2 x))
✓	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes14.0ms (0.3%)

Counts

5 → 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 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))
(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:

5.0ms	(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

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 88 to 60 computations (31.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -35.0b remaining (-8828.1%)

Threshold costs -35.0b (-8828.1%)

Counts

3 → 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 (.f64 -1/4 (.f64 x x)) (/.f64 4 (.f64 x x))) (+.f64 (/.f64 2 x) (.f64 x 1/2))))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	31	73
2	39	73
3	43	73
4	45	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)

soundness78.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-r`
930×	`associate-l`
726×	`associate-/r*`
650×	`*-commutative`
584×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	833	18659
1	2322	17707

Stop Event

1×	node limit

Compiler

Compiled 195 to 133 computations (31.8% saved)

end24.0ms (0.6%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

Details

analyze4.0ms (0.1%)

sample981.0ms (23.8%)

preprocess137.0ms (3.3%)

simplify141.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.5%)

series3.0ms (0.1%)

rewrite109.0ms (2.7%)

simplify142.0ms (3.4%)

eval569.0ms (13.8%)

prune138.0ms (3.3%)

localize16.0ms (0.4%)

series2.0ms (0.1%)

rewrite118.0ms (2.9%)

simplify99.0ms (2.4%)

localize6.0ms (0.2%)

localize18.0ms (0.4%)

eval288.0ms (7%)

prune62.0ms (1.5%)

localize28.0ms (0.7%)

series3.0ms (0.1%)

rewrite98.0ms (2.4%)

simplify122.0ms (3%)

eval856.0ms (20.8%)

prune36.0ms (0.9%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness78.0ms (1.9%)

end24.0ms (0.6%)

Profiling