Details

analyze7.0ms (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)

sample1.2s (22.9%)

Results

1.2s	8256×	body	256	valid
1.0ms	15×	body	256	invalid

Bogosity

preprocess138.0ms (2.6%)

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)

simplify143.0ms (2.7%)

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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(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 (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite111.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`associate-/r*`
976×	`associate-/l*`
714×	`distribute-lft-in`
550×	`associate-/r/`
302×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	114
1	261	114
2	3680	114

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

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

simplify126.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-r`
772×	`associate-l`
672×	`associate-/r*`
586×	`*-commutative`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	802	18285
1	2118	16231

Stop Event

1×	node limit

Counts

333 → 500

Calls

Call 1

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

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

eval210.0ms (4%)

Compiler: Compiled 12609 to 8301 computations (34.2% saved)

prune112.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	495	5	500
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	496	5	501

Error

Counts

501 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.5b	(log.f64 (/.f64 2 x))
▶	0.3b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	0.3b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 110 to 86 computations (21.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
✓	0.0b	(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
✓	0.0b	(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
0.0ms	x	@	-inf	(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
0.0ms	x	@	inf	(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
0.0ms	x	@	inf	(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
0.0ms	x	@	0	(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))

rewrite92.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`associate-/r*`
866×	`distribute-lft-in`
842×	`associate-/l*`
458×	`associate-/r/`
344×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	283	97
2	3789	97

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

Inputs
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))

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

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simplify119.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-+l+`
1074×	`+-commutative`
970×	`associate-+r+`
418×	`associate-+l-`
376×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	9262
1	1281	8934
2	5027	8914

Stop Event

1×	node limit

Counts

168 → 300

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))) 1)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))) 1)
(-.f64 (sqrt.f64 -1) 1)
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) 1)
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) 1)
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (+.f64 1 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) 1)
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) 1)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (+.f64 1 (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (+.f64 1 (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (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 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x x))
(.f64 (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))
(.f64 (/.f64 (.f64 x x) (.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 1 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) 3))) (+.f64 1 (-.f64 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (.f64 x x) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (.f64 x x))))
(/.f64 (neg.f64 (.f64 x x)) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (neg.f64 (.f64 x x)) (.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 (/.f64 1 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (/.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (/.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (.f64 1 (neg.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) 0) (-.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) 0) (.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 2)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 2 (.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) 3)) (.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 1 (+.f64 (-.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3)) (.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 (/.f64 (.f64 x x) 1) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (/.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (.f64 x x) (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1) (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (sqrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (.f64 (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(-.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(.f64 1 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1))
(.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1) 1)
(.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1))
(.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))
(.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2))) (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) -1)) (+.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (+.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (.f64 (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) 3) (pow.f64 (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (.f64 (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (-.f64 1 (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(/.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2))) (/.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)))) (/.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (-.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) 1) (.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (+.f64 1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) 3)) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (-.f64 1 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3) -1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) 3) 1) (.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (+.f64 (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) 1) (.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2))) (neg.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) 1) (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2)) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 3)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (.f64 (/.f64 1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(pow.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)))
(fma.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 x) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)))) 1)
(.f64 1 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0)))
(.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0)) 1)
(.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))))
(.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))))
(pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)) 2))
(log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 0))))
(exp.f64 (.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0))) 1))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series42.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (/.f64 2 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1212×	`add-cube-cbrt`
1200×	`add-cbrt-cube`
1186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1642	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-+l-`
940×	`*-commutative`
920×	`associate-r`
900×	`associate-+r-`
728×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	571
1	172	571
2	641	571
3	3640	571
4	6375	571

Stop Event

1×	node limit

Counts

37 → 33

Calls

Call 1

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

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

localize15.0ms (0.3%)

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)

series3.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite76.0ms (1.5%)

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 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(/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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)) (/.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (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)) (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 (/.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 (/.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))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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(#(struct:change #<rule egg-rr> (2) ((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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (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) 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simplify94.0ms (1.8%)

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)))))
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(+.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)))))
(/.f64 (.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 1/4 (.f64 x x) (.f64 (/.f64 -2 x) (+.f64 (/.f64 2 x) (.f64 x 1/2))))) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (/.f64 4 (.f64 x x)) (.f64 (+.f64 (/.f64 2 x) (.f64 x 1/2)) (+.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))))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

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

rewrite97.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-*r/`
1112×	`associate-*l/`
1064×	`*-commutative`
820×	`distribute-lft-in`
480×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	235	73
2	3141	69

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

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

simplify152.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-+r+`
642×	`associate-/l*`
638×	`associate-r`
590×	`fma-def`
526×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	607	14246
1	1765	13618
2	7727	13618

Stop Event

1×	node limit

Counts

244 → 369

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

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 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 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 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 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.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 -1/4 (.f64 x x)) (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 (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 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (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 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (log.f64 -1/2) (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 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 8 (pow.f64 x 4))) (+.f64 (/.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 (+.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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.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 (.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 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(-.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 1 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x)))) (-.f64 1 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x -1/2))) (-.f64 1 (.f64 2 (/.f64 1 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 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (fma.f64 x -1/2 (/.f64 1 x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 1 x)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (+.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 -1 x)))
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (+.f64 (.f64 x -1/2) (/.f64 -1 x))) (-.f64 (/.f64 (pow.f64 x -2) (+.f64 (.f64 x -1/2) (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x))))) 1)
(+.f64 (fma.f64 x -1/2 (/.f64 1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (.f64 1/4 (.f64 x x)) (+.f64 (.f64 x -1/2) (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (+.f64 (.f64 x -1/2) (/.f64 -1 x))))
(+.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 x -1/2 (/.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 x -1/2 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/2 (/.f64 1 x)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 x -1/2)))) 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 (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x))) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (sqrt.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (cbrt.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x)))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (+.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 -1 x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x) (pow.f64 x -2))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x)))) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (/.f64 1 x) (fma.f64 x -1/2 (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (+.f64 (fma.f64 x 1/2 (/.f64 1 x)) (/.f64 -1 x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))) (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x)))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)) (-.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2) (-.f64 (/.f64 (fma.f64 x -1/2 (/.f64 1 x)) x) (pow.f64 x -2))))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2))) (+.f64 (.f64 x -1/2) (*.f64 2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3))) (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x -1/2 (/.f64 1 x)) (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (+.f64 (pow.f64 x -2) (.f64 (fma.f64 x -1/2 (/.f64 2 x)) (fma.f64 x -1/2 (/.f64 1 x))))) (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x -1/2 (/.f64 2 x)) (fma.f64 x -1/2 (/.f64 1 x)) (pow.f64 x -2))))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (+.f64 (.f64 x -1/2) (-.f64 (/.f64 -1 x) (.f64 x (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)))))) (.f64 x (+.f64 (*.f64 x -1/2) (/.f64 -1 x))))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2)) (-.f64 (fma.f64 x -1/2 (/.f64 -1 x)) (.f64 x (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2))))) (*.f64 x (fma.f64 x -1/2 (/.f64 -1 x))))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 x))) (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 x)))) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 x -2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (*.f64 -1/2 (/.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2))) (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2)))) (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1/4 (.f64 x x)) (.f64 1/4 (.f64 x x))) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (+.f64 (.f64 x -1/2) (/.f64 -1 x)))) (+.f64 (pow.f64 x -2) (.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (.f64 1/16 (pow.f64 x 4)) (/.f64 (pow.f64 x -3) x)) (.f64 (fma.f64 x -1/2 (/.f64 -1 x)) (+.f64 (pow.f64 x -2) (.f64 1/4 (.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (/.f64 (pow.f64 x -3) x)) (.f64 (fma.f64 x -1/2 (/.f64 -1 x)) (fma.f64 1/4 (*.f64 x x) (pow.f64 x -2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (/.f64 1 (+.f64 (.f64 x -1/2) (/.f64 -1 x)))) (+.f64 (.f64 (.f64 1/4 (.f64 x x)) (.f64 1/4 (.f64 x x))) (+.f64 (/.f64 (pow.f64 x -3) x) (.f64 (pow.f64 x -2) (.f64 1/4 (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/4 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 x -1/2 (/.f64 -1 x)) (+.f64 (.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x -3) x) (.f64 (.f64 (pow.f64 x -2) 1/4) (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/64) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 x -1/2 (/.f64 -1 x))) (+.f64 (.f64 (*.f64 x 1/4) (/.f64 1 x)) (fma.f64 1/16 (pow.f64 x 4) (/.f64 (pow.f64 x -3) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 3))) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x)))))) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3)))
(/.f64 (-.f64 (.f64 1/64 (pow.f64 x 6)) (pow.f64 x -6)) (.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2)) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/64) (pow.f64 x -6)) (.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2)) (-.f64 (.f64 -1/8 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x)))))) (+.f64 (.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x 3))) (-.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (pow.f64 x -3) (*.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (.f64 -1/8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2)) (+.f64 (.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -1/512 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (.f64 x x) 1/2)) (+.f64 (fma.f64 1/64 (pow.f64 x 6) (pow.f64 x -6)) (.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) 1) (+.f64 (*.f64 x -1/2) (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (sqrt.f64 (+.f64 (.f64 x -1/2) (/.f64 -1 x)))) (sqrt.f64 (+.f64 (.f64 x -1/2) (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (.f64 (cbrt.f64 (+.f64 (.f64 x -1/2) (/.f64 -1 x))) (cbrt.f64 (+.f64 (.f64 x -1/2) (/.f64 -1 x))))) (cbrt.f64 (+.f64 (.f64 x -1/2) (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (fma.f64 x -1/2 (/.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x -1/2)))) (-.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 x -1/2)))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 x -2)) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x -1/2)))) (-.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 x -1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x)))))
(.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x)))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (*.f64 -1/2 (/.f64 x x))))))
(.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (/.f64 x x))))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/4 (.f64 x x)) (*.f64 -1/2 (/.f64 x x))))))
(.f64 (+.f64 (pow.f64 x -3) (.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/4 (*.f64 x x) 1/2)))
(pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 1)
(fma.f64 x -1/2 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 2)
(fma.f64 x -1/2 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 x))) 3)
(fma.f64 x -1/2 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3) 1/3)
(fma.f64 x -1/2 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 x -1/2 (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/2 (/.f64 1 x)))))
(fma.f64 x -1/2 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 x)) 3))
(fma.f64 x -1/2 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 1 x))))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 1 (*.f64 x -1/2) (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x -1/2))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (.f64 x -1/2)) (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x -1/2)) (/.f64 1 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`associate-*r/`
1088×	`associate-*l/`
1014×	`*-commutative`
922×	`associate-/r*`
716×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	233	60
2	3172	60

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

Outputs

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

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`distribute-lft-in`
958×	`associate-*r/`
840×	`associate-/r*`
822×	`*-commutative`
752×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	6283
1	870	5755
2	3164	5697

Stop Event

1×	node limit

Counts

127 → 217

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (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 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 -1 x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 1))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 -1 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 (.f64 x x) x) (.f64 x x)) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (/.f64 (.f64 x x) x) (-.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) x) (-.f64 1 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) x) (+.f64 1 (pow.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) 3))) (+.f64 1 (+.f64 (-.f64 (.f64 (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (-.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x))))) 1) (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(+.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 0)
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (/.f64 1 x)))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (-.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 1 x))))
(-.f64 (.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (.f64 (log.f64 x) 2) (+.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (+.f64 (log.f64 (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) 1)
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 0) (log.f64 x))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1)
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (.f64 1 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 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 -1/8 (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)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
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(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (.f64 1 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (+.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(fabs.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))

eval1.2s (23.8%)

Compiler: Compiled 36131 to 26276 computations (27.3% saved)

prune413.0ms (7.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1402	2	1404
Fresh	0	0	0
Picked	0	1	1
Done	3	1	4
Total	1405	4	1409

Error

Counts

1409 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(log1p.f64 (/.f64 2 x))
▶	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.5b	(log.f64 (/.f64 2 x))

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 21 computations (44.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`*-commutative`
1016×	`associate-*r/`
788×	`associate-/r*`
762×	`associate-*l/`
630×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	234	59
2	2994	59

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-*r/`
908×	`*-commutative`
750×	`associate-/l*`
686×	`+-commutative`
672×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5392
1	878	4700
2	3259	4652

Stop Event

1×	node limit

Counts

164 → 225

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

eval80.0ms (1.5%)

Compiler: Compiled 4281 to 3057 computations (28.6% saved)

prune28.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	225	4	229

Error

Counts

229 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(log1p.f64 (/.f64 2 x))
✓	0.3b	(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.5b	(log.f64 (/.f64 2 x))

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes19.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))

Outputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	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 107 to 75 computations (29.9% saved)

regimes17.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 94 to 66 computations (29.8% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.5b remaining (-95.4%)

Threshold costs -0.5b (-95.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(log1p.f64 (/.f64 2 x))

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	141
1	41	141
2	48	141
3	52	141
4	54	141

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

Outputs
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (/.f64 (+.f64 2 (.f64 -1/2 (.f64 x x))) x))
(log.f64 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/2)) 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 53 to 41 computations (22.6% saved)

soundness84.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-r`
772×	`associate-l`
672×	`associate-/r*`
586×	`*-commutative`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	802	18285
1	2118	16231

Stop Event

1×	node limit

Compiler

Compiled 188 to 133 computations (29.3% saved)

end35.0ms (0.7%)

Compiler: Compiled 49 to 35 computations (28.6% saved)

Details

analyze7.0ms (0.1%)

sample1.2s (22.9%)

preprocess138.0ms (2.6%)

simplify143.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.4%)

series7.0ms (0.1%)

rewrite111.0ms (2.1%)

simplify126.0ms (2.4%)

eval210.0ms (4%)

prune112.0ms (2.1%)

localize23.0ms (0.4%)

series3.0ms (0.1%)

rewrite92.0ms (1.8%)

simplify119.0ms (2.3%)

localize6.0ms (0.1%)

series42.0ms (0.8%)

rewrite54.0ms (1%)

simplify57.0ms (1.1%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite76.0ms (1.5%)

simplify94.0ms (1.8%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

rewrite97.0ms (1.9%)

simplify152.0ms (2.9%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite74.0ms (1.4%)

simplify82.0ms (1.6%)

eval1.2s (23.8%)

prune413.0ms (7.9%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite73.0ms (1.4%)

simplify86.0ms (1.6%)

localize6.0ms (0.1%)

eval80.0ms (1.5%)

prune28.0ms (0.5%)

regimes19.0ms (0.4%)

regimes17.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify9.0ms (0.2%)

soundness84.0ms (1.6%)

end35.0ms (0.7%)

Profiling