Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (28.3%)

Results

1.3s	8256×	body	256	valid
2.0ms	24×	body	256	invalid

Bogosity

preprocess161.0ms (3.4%)

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)

simplify162.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 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	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite134.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`associate-/r*`
976×	`associate-/l*`
714×	`distribute-lft-in`
558×	`associate-/r/`
302×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	97
1	261	97
2	3680	97

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

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

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

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

simplify185.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1116×	`+-commutative`
752×	`associate-+r+`
660×	`associate-r`
570×	`associate-/r*`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	15898
1	1956	13868
2	7496	13836

Stop Event

1×	node limit

Counts

296 → 462

Calls

Call 1

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

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

eval274.0ms (5.8%)

Compiler: Compiled 12093 to 7793 computations (35.6% saved)

prune70.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	458	4	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	458	5	463

Accurracy

100.0%

Counts

463 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize27.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
934×	`associate-*r/`
762×	`unswap-sqr`
610×	`swap-sqr`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	249	19
2	2988	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-+l-`
1172×	`associate-r`
954×	`associate-l`
752×	`associate--r+`
728×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1926
1	368	1650
2	1137	1646
3	4927	1618

Stop Event

1×	node limit

Counts

48 → 105

Calls

Call 1

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

localize5.0ms (0.1%)

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

localize21.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite243.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`associate-*r/`
1088×	`associate-*l/`
1020×	`*-commutative`
920×	`associate-/r*`
716×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	85
1	233	83
2	3172	83

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

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

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

simplify245.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-/r/`
1182×	`associate-+l+`
894×	`+-commutative`
752×	`associate-+r+`
450×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	9172
1	1179	8556
2	4535	8544

Stop Event

1×	node limit

Counts

198 → 327

Calls

Call 1

Inputs
(+.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))))))
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 -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 (-.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 (pow.f64 x -1)))
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(.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 (pow.f64 x -1) (+.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)))
(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)))

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

localize16.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 32 to 21 computations (34.4% saved)

series54.0ms (1.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
12.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(-.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
0.0ms	x	@	0	(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))

rewrite105.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`distribute-lft-in`
1028×	`associate-*r/`
914×	`associate-*l/`
642×	`associate-+l+`
268×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	258	36
2	3425	36

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

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

Outputs

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(2)) ((fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4))) (2)) ((fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4))))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (log.f64 (/.f64 2 x))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4))))) (2)) ((fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x))) (2)))

simplify120.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

804×	`associate-/l*`
798×	`fma-def`
756×	`associate-r`
668×	`associate-l`
508×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	610	14745
1	1767	13145

Stop Event

1×	node limit

Counts

245 → 341

Calls

Call 1

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

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

eval358.0ms (7.5%)

Compiler: Compiled 19157 to 13734 computations (28.3% saved)

prune123.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	770	3	773
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	772	6	778

Accurracy

100.0%

Counts

778 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
▶	2.7%	(.f64 x (.f64 x -1/4))
▶	100.0%	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize23.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 58 to 34 computations (41.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`associate-*r/`
952×	`associate-*l/`
942×	`*-commutative`
898×	`associate-/r*`
726×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	216	29
2	2968	29

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1494×	`times-frac`
1298×	`associate-/l*`
1172×	`associate-*r/`
910×	`associate-/r*`
714×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	3581
1	550	3317
2	1971	3277

Stop Event

1×	node limit

Counts

75 → 121

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 5/128 (pow.f64 x 7)) (.f64 1/16 (pow.f64 x 5)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (sqrt.f64 x) 1))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 x 1) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 x (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 (/.f64 x (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 (/.f64 1 (.f64 x x)) (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (.f64 x (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 x (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 x (+.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 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (cbrt.f64 x))
(.f64 (/.f64 x (.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 x (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 (/.f64 x (+.f64 (.f64 x (neg.f64 x)) 0)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (.f64 x (neg.f64 x))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (neg.f64 x) (neg.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 (/.f64 x 1) (.f64 x (neg.f64 x))) (neg.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 x 1) (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 (/.f64 (/.f64 x 1) (+.f64 (.f64 x (neg.f64 x)) 0)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (sqrt.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)))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)))) (cbrt.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 5/128 (pow.f64 x 7)) (.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 5/128 (pow.f64 x 7) (*.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/16 (pow.f64 x 5) (*.f64 5/128 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) (*.f64 5/128 (pow.f64 x 7)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (+.f64 (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (/.f64 1 x)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x))) (/.f64 1 x)) (/.f64 -1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1)))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))))))
(-.f64 (/.f64 -1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 -1 (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 -1 x) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (.f64 x x)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 -1 (sqrt.f64 -1)) (-.f64 (/.f64 1 x) (/.f64 -1/2 (.f64 (sqrt.f64 -1) (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -2)))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -2)))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 x (*.f64 x x)))
(/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (-.f64 2 (+.f64 (.f64 x x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))))
(.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) x))
(.f64 x (/.f64 (+.f64 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))) -2) (-.f64 -1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
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(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

localize4.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize14.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))

Compiler

Compiled 29 to 20 computations (31% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
2.0ms	x	@	-inf	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
1.0ms	x	@	inf	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))

rewrite75.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
734×	`associate-*r/`
630×	`swap-sqr`
550×	`associate-*l/`
536×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	235	25
2	2970	25

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

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

Outputs

(((-.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 x (*.f64 x 1/4)))) (2)) ((-.f64 0 (-.f64 (log.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/4)))) (2)) ((-.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 x)) (*.f64 x (*.f64 x -1/4)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/4)))) (-.f64 1 (log.f64 (/.f64 2 x)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) (-.f64 1 (*.f64 x (*.f64 x -1/4)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) 1) (2)) ((-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 x)) (2)) ((-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))) (/.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 0) (log.f64 (*.f64 x 1/2))) (2)) ((-.f64 (+.f64 (log.f64 (/.f64 2 x)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/4))))) 1) (2)) ((-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 -2)) (log.f64 (neg.f64 x))) (2)) ((-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))) 1) (2)) ((-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) (2)) ((-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) 0) (log.f64 x)) (2)) ((-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 2)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) (2)) ((*.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1) (2)) ((*.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (2)) ((*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (/.f64 1 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((*.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (2)) ((*.f64 (/.f64 1 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (*.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (-.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))) 3))) (+.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (2)) ((/.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))) (2)) ((/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (2)) ((/.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (/.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (/.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))))) (2)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)))) (/.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))))) (2)) ((/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/4096)) (*.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)))) (2)) ((/.f64 (-.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (2)) ((/.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 x (*.f64 x -1/4)) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)))) (2)) ((/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) 3)) (*.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)))))) (2)) ((/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) 3)) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))) (+.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)))))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (neg.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (2)) ((/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) 1) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) 1) (neg.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 x (*.f64 x -1/4)) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (+.f64 (*.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/4096)) (/.f64 1 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) 3)) (/.f64 1 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (+.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) 1) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (*.f64 x (sqrt.f64 -1/4)) (sqrt.f64 (log.f64 (/.f64 2 x))))) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (sqrt.f64 -1/4)))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) 1) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (sqrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))))) (cbrt.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4))))))) (2)) ((pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 3) 1/3) (2)) ((neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (*.f64 (*.f64 x (pow.f64 x 3)) -1/16)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))) (2)) ((neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (*.f64 x (*.f64 x -1/4)) 3)) (neg.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x 1/4)))))))) (2)) ((sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 2)) (2)) ((log.f64 (*.f64 (/.f64 2 x) (pow.f64 (exp.f64 x) (*.f64 x -1/4)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) (2)) ((fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) (2)) ((fma.f64 (*.f64 x -1/4) x (log.f64 (/.f64 2 x))) (2)) ((fma.f64 1 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x -1/4))) (2)) ((fma.f64 1 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))) (2)) ((fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x))) (2)) ((fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (log.f64 (/.f64 2 x))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4))) (2)) ((fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x))) (2)))

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/r*`
1316×	`associate-*r/`
1070×	`associate-*l/`
826×	`associate-+l+`
746×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	7632
1	816	6526
2	3902	6526

Stop Event

1×	node limit

Counts

100 → 159

Calls

Call 1

Inputs
(+.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 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(-.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 x (.f64 x 1/4))))
(-.f64 0 (-.f64 (log.f64 (.f64 x 1/2)) (.f64 x (*.f64 x -1/4))))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 x)) (.f64 x (.f64 x -1/4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/4)))) (-.f64 1 (log.f64 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) (-.f64 1 (.f64 x (.f64 x -1/4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))) (/.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) 0) (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 (log.f64 (/.f64 2 x)) (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/4))))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 -2)) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) 0) (log.f64 x))
(-.f64 (-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)
(.f64 1 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (/.f64 1 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))))
(.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (*.f64 x (pow.f64 x 3)) -1/16)))
(.f64 (/.f64 1 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (-.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x))) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x))))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))) 3))) (+.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (-.f64 (.f64 (.f64 x (.f64 x -1/4)) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))) (pow.f64 (log.f64 (/.f64 2 x)) 2)))))
(/.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4))))))
(/.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (/.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (/.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (*.f64 x -1/4)) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)))) (/.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (*.f64 x (pow.f64 x 3)) -1/16)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/4096)) (.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (*.f64 x -1/4)) 3))))
(/.f64 (-.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 x (.f64 x -1/4)) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))) (+.f64 (.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) 3)) (.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (+.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) (-.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) 3)) (.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))) (+.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (neg.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)))) (cbrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 (.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) 1) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) 1) (neg.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (sqrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 x (.f64 x -1/4)) (pow.f64 (.f64 x (.f64 x -1/4)) 3))) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (+.f64 (.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 3) (pow.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (+.f64 (.f64 (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 1/16 (*.f64 x (pow.f64 x 3))) (pow.f64 (log.f64 (/.f64 2 x)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/4096)) (/.f64 1 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))))) (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (*.f64 x -1/4)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) 3)) (/.f64 1 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))))) (+.f64 (.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)) (.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) (-.f64 (pow.f64 (.f64 x (.f64 x -1/4)) 3) (pow.f64 (log.f64 (/.f64 2 x)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) 1) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (+.f64 (.f64 x (sqrt.f64 -1/4)) (sqrt.f64 (log.f64 (/.f64 2 x))))) (-.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (.f64 x (sqrt.f64 -1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) 1) (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))))) (sqrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))) (cbrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))))) (cbrt.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4)))))))
(pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (.f64 (.f64 x (pow.f64 x 3)) -1/16)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x 1/4))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) (pow.f64 (.f64 x (.f64 x -1/4)) 3)) (neg.f64 (+.f64 (.f64 1/16 (.f64 x (pow.f64 x 3))) (.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 (/.f64 2 x)) (.f64 x (*.f64 x 1/4))))))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 2))
(log.f64 (.f64 (/.f64 2 x) (pow.f64 (exp.f64 x) (.f64 x -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))
(fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))
(fma.f64 (*.f64 x -1/4) x (log.f64 (/.f64 2 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
(fma.f64 1 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(fma.f64 (.f64 x (sqrt.f64 -1/4)) (.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (.f64 x (.f64 x -1/4)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/4))) 2) (cbrt.f64 (.f64 x (.f64 x -1/4))) (log.f64 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (.f64 x (.f64 x -1/4)))
(fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x)))

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

eval206.0ms (4.3%)

Compiler: Compiled 11421 to 8432 computations (26.2% saved)

prune60.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	413	7	420

Accurracy

100.0%

Counts

420 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
✓	2.7%	(.f64 x (.f64 x -1/4))
▶	99.3%	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	100.0%	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 70 to 53 computations (24.3% saved)

localize18.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 49 to 28 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
704×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

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

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

eval4.0ms (0.1%)

Compiler: Compiled 181 to 133 computations (26.5% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	14	7	21

Accurracy

100.0%

Counts

21 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(+.f64 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -1/4)))
✓	2.7%	(.f64 x (.f64 x -1/4))
✓	99.3%	(neg.f64 (log.f64 (/.f64 x (+.f64 2 (.f64 -1/2 (.f64 x x))))))
✓	100.0%	(neg.f64 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	99.3%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 70 to 53 computations (24.3% saved)

regimes19.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

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

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

Compiler

Compiled 117 to 81 computations (30.8% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 65 to 46 computations (29.2% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes3.0ms (0.1%)

Accuracy

Total -61.7b remaining (-11633.6%)

Threshold costs -61.7b (-11633.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/4))
(log.f64 (/.f64 2 x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
18×	`+-commutative`
8×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	156
1	51	156
2	62	156
3	68	156
4	70	156

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 59 to 45 computations (23.7% saved)

soundness108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1116×	`+-commutative`
752×	`associate-+r+`
660×	`associate-r`
570×	`associate-/r*`
556×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	15898
1	1956	13868
2	7496	13836

Stop Event

1×	node limit

Compiler

Compiled 149 to 103 computations (30.9% saved)

end41.0ms (0.9%)

Compiler: Compiled 54 to 38 computations (29.6% saved)

Details

analyze4.0ms (0.1%)

sample1.3s (28.3%)

preprocess161.0ms (3.4%)

simplify162.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

rewrite134.0ms (2.8%)

simplify185.0ms (3.9%)

eval274.0ms (5.8%)

prune70.0ms (1.5%)

localize27.0ms (0.6%)

series1.0ms (0%)

rewrite65.0ms (1.4%)

simplify62.0ms (1.3%)

localize5.0ms (0.1%)

localize21.0ms (0.5%)

series2.0ms (0%)

rewrite243.0ms (5.1%)

simplify245.0ms (5.2%)

localize16.0ms (0.3%)

series54.0ms (1.1%)

rewrite105.0ms (2.2%)

simplify120.0ms (2.5%)

eval358.0ms (7.5%)

prune123.0ms (2.6%)

localize23.0ms (0.5%)

series1.0ms (0%)

rewrite76.0ms (1.6%)

simplify63.0ms (1.3%)

localize4.0ms (0.1%)

localize14.0ms (0.3%)

series7.0ms (0.1%)

rewrite75.0ms (1.6%)

simplify99.0ms (2.1%)

eval206.0ms (4.3%)

prune60.0ms (1.3%)

localize18.0ms (0.4%)

series1.0ms (0%)

rewrite49.0ms (1%)

simplify37.0ms (0.8%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes19.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness108.0ms (2.3%)

end41.0ms (0.9%)

Profiling