Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample685.0ms (27.7%)

Results

675.0ms	8256×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess10.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify116.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def`
516×	`associate-r`
410×	`associate-/r*`
372×	`associate-/l*`
344×	`associate-l`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	47	29
4	63	29
5	84	29
6	141	29
7	238	25
8	358	25
9	529	25
10	706	25
11	970	25
12	1290	25
13	2216	25
14	2893	25
15	3759	25
16	3785	25
17	3831	25
18	3871	25
19	3871	25

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler: Compiled 59 to 48 computations (18.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.0b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize16.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
✓	0.0b	(*.f64 (/.f64 2 (-.f64 1 x)) x)
✓	0.0b	(/.f64 2 (-.f64 1 x))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms	x	@	-inf	(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms	x	@	inf	(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0ms	x	@	inf	(/.f64 2 (-.f64 1 x))
0.0ms	x	@	0	(/.f64 2 (-.f64 1 x))

rewrite80.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`associate-*r/`
892×	`*-commutative`
822×	`associate-*l/`
638×	`unswap-sqr`
602×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	210	55
2	2574	55

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (-.f64 1 (.f64 x x))) 1) (.f64 (/.f64 2 (-.f64 1 (.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 2 (-.f64 1 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1) (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (.f64 x x))) (.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (/.f64 2 (-.f64 1 (.f64 x x)))) (.f64 x (/.f64 2 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (-.f64 1 (.f64 x x)))) (.f64 1 (/.f64 2 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) 1) (.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) x) (.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1) (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x)) (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 1 (.f64 x x))) (.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) x))))) 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Outputs

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

simplify102.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1344×	`distribute-lft-in`
1286×	`distribute-rgt-in`
894×	`associate-/l*`
578×	`+-commutative`
528×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	7239
1	1363	6425
2	5397	6425

Stop Event

1×	node limit

Counts

213 → 312

Calls

Call 1

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

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

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

rewrite66.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-/r*`
1300×	`associate-*r/`
1126×	`associate-/l*`
950×	`*-commutative`
922×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	42
2	2693	42

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 x) (/.f64 -1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 x)) (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 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Outputs

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

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

simplify73.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1054×	`distribute-lft-in`
1050×	`associate-/r*`
998×	`distribute-rgt-in`
948×	`unswap-sqr`
638×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	4158
1	877	3608
2	3238	3594

Stop Event

1×	node limit

Counts

124 → 192

Calls

Call 1

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

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 3) (.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (.f64 2 (+.f64 x (pow.f64 x 4))) (.f64 x (*.f64 2 (fma.f64 x x x))))
(.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 3)) -2))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 3)) -2))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(+.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 0)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (.f64 2 x) (/.f64 -1 (+.f64 -1 x)))
(.f64 2 (.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (sqrt.f64 (.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(.f64 (/.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (.f64 2 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (+.f64 x 1) (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)))
(.f64 (+.f64 x 1) (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (.f64 x x)))
(.f64 (/.f64 -1 (+.f64 -1 x)) (.f64 2 x))
(.f64 2 (.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (fma.f64 x x x)))))
(.f64 (+.f64 1 (fma.f64 x x x)) (.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 2))
(.f64 (.f64 x -2) (/.f64 1 (+.f64 -1 x)))
(.f64 2 (.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)) (sqrt.f64 (*.f64 2 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) 1))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (/.f64 (cbrt.f64 (.f64 2 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 x 1/2) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x 1/2))
(/.f64 (/.f64 (neg.f64 x) (+.f64 x -1)) 1/2)
(/.f64 x (*.f64 -1/2 (+.f64 x -1)))
(.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 2) 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 2 (/.f64 x (cbrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 2) 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 2 (/.f64 x (cbrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (.f64 (.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) 2) 1) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 2 (/.f64 x (cbrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 x 1))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (.f64 x x)) x)) (+.f64 x 1))
(.f64 (+.f64 x 1) (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))))
(/.f64 (.f64 2 (fma.f64 x x x)) (-.f64 1 (.f64 x x)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 1 (fma.f64 x x x)))
(.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (fma.f64 x x x)))))
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(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(fabs.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(fabs.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))

eval196.0ms (7.9%)

Compiler: Compiled 9079 to 7081 computations (22% saved)

prune84.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	500	4	504
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	500	6	506

Error

Counts

506 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
▶	1.6b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 63 to 52 computations (17.5% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.3%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize26.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
✓	0.0b	(.f64 (.f64 2 x) (+.f64 1 x))
✓	0.0b	(/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 2 x) (+.f64 1 x))
0.0ms	x	@	-inf	(.f64 (.f64 2 x) (+.f64 1 x))
0.0ms	x	@	0	(log1p.f64 (/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
0.0ms	x	@	0	(.f64 (.f64 2 x) (+.f64 1 x))
0.0ms	x	@	0	(/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x)))

rewrite89.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-/r/`
922×	`associate-/l/`
908×	`distribute-rgt-in`
856×	`distribute-lft-in`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	97
1	285	61
2	3963	61

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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simplify158.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

830×	`associate-+l+`
764×	`associate-r`
738×	`associate-l`
708×	`+-commutative`
636×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	7259
1	1355	6279
2	6206	6259

Stop Event

1×	node limit

Counts

195 → 266

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
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(+.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) 1) (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) x))
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(+.f64 (.f64 (.f64 2 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(+.f64 (.f64 x (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))) (.f64 1 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))))
(+.f64 (.f64 1 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))) (.f64 x (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))))
(+.f64 (.f64 1 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4)))) (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4)))) (.f64 1 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 1 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(.f64 2 (.f64 (+.f64 x (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 2 (/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (*.f64 x x))))
(.f64 (.f64 2 x) (.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(.f64 1 (.f64 (/.f64 2 (-.f64 1 x)) x))
(.f64 (+.f64 x 1) (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (+.f64 x 1) (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (.f64 x x))))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(.f64 (sqrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 2) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2) (.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 2 (+.f64 x (.f64 x x))))
(.f64 (.f64 -2 (+.f64 x (.f64 x x))) (/.f64 1 (+.f64 -1 (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (.f64 (.f64 2 (+.f64 x (.f64 x x))) (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (.f64 (.f64 2 (+.f64 x (.f64 x x))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 -1 (.f64 x x))) (.f64 -2 (+.f64 x (.f64 x x))))
(.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (+.f64 x (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (+.f64 x (.f64 x x)) (cbrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) 1) (/.f64 1 (-.f64 1 x)))
(.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 1) (/.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (-.f64 1 (.f64 x x))) (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (neg.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (+.f64 1 (.f64 x x))))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 4))) (.f64 (+.f64 x 1) (+.f64 1 (.f64 x x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 6))) (.f64 (+.f64 x 1) (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(.f64 (/.f64 (.f64 2 x) (+.f64 -1 (*.f64 x x))) (neg.f64 (+.f64 x 1)))
(.f64 (/.f64 (.f64 2 x) (/.f64 (-.f64 1 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 2 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 x (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 x x)) 2)) (+.f64 x (*.f64 x x)))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 2 x))) (+.f64 x 1))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 x x)) (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))))) (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 x x)) (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2))) (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))))) (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (+.f64 1 (pow.f64 (.f64 x (neg.f64 x)) 3))) (+.f64 1 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 x (neg.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (-.f64 1 x)) (sqrt.f64 (*.f64 2 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2) (-.f64 1 (.f64 x x))) (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (-.f64 1 x)) (cbrt.f64 (*.f64 2 x)))
(.f64 (/.f64 (.f64 -2 (+.f64 x (.f64 x x))) (neg.f64 (-.f64 1 (pow.f64 x 4)))) (+.f64 1 (.f64 x x)))
(.f64 (/.f64 (.f64 -2 (+.f64 x (.f64 x x))) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))))
(.f64 (/.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(.f64 (/.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(.f64 (/.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (+.f64 -1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))
(+.f64 (.f64 2 x) (.f64 (.f64 2 (.f64 x x)) 1))
(+.f64 (.f64 2 x) (.f64 1 (.f64 (.f64 2 (*.f64 x x)) 1)))
(+.f64 (.f64 2 x) (.f64 (.f64 (.f64 2 (*.f64 x x)) 1) 1))
(+.f64 (.f64 2 (.f64 x x)) (*.f64 2 x))
(+.f64 (.f64 (.f64 2 (.f64 x x)) 1) (.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) (-.f64 1 (.f64 2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) (-.f64 1 (.f64 (.f64 2 (.f64 x x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (+.f64 x (.f64 x x))))) 1)
(-.f64 (+.f64 (.f64 2 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1)
(/.f64 (.f64 2 (+.f64 x (.f64 x x))) 1)
(/.f64 (.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (.f64 (.f64 2 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 2 x)) (-.f64 1 x))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 2 x)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x)))) (-.f64 (.f64 2 x) (.f64 2 (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x)))) (.f64 1 (-.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (.f64 2 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x))) (.f64 (.f64 2 x) (.f64 2 (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (.f64 2 (.f64 x x)) 3)) (.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x))) (.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))))))
(pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 1)
(pow.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 3)
(pow.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (+.f64 x (.f64 x x))))))
(cbrt.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (.f64 2 x) 3)))
(expm1.f64 (log1p.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(exp.f64 (+.f64 (log.f64 (*.f64 2 x)) (log1p.f64 x)))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 2 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(fma.f64 2 x (.f64 2 (.f64 x x)))
(fma.f64 x 2 (.f64 2 (.f64 x x)))
(fma.f64 (.f64 2 x) 1 (.f64 2 (*.f64 x x)))
(fma.f64 1 (.f64 2 x) (.f64 2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (.f64 2 (.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (.f64 2 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))) 1)
(.f64 1 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(.f64 (sqrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(log.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 1))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 (.f64 2 x) (+.f64 x (fma.f64 x x 1)))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 3) (.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (.f64 2 (+.f64 x (pow.f64 x 4))) (.f64 2 (*.f64 x (fma.f64 x x x))))
(.f64 (fma.f64 x x x) (.f64 2 (fma.f64 x x 1)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (-.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 1 (-.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 0)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (.f64 2 (.f64 x x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (.f64 (.f64 2 (.f64 x x)) 1) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 2 x)) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 2 (*.f64 x x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 2 x)) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 (.f64 2 (.f64 x x)) 1)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (.f64 2 (.f64 x x))) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (*.f64 2 x)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) x) (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) 1))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) 1) (.f64 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x))) x))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4))) 1) (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4))) (.f64 x x)) (.f64 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 4))) 1))
(.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) 1) (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) (+.f64 (.f64 x x) (pow.f64 x 4))) (.f64 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6))) 1))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 2 (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 x (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))) (.f64 1 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 1 (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))) (.f64 x (/.f64 (.f64 2 x) (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(+.f64 (.f64 1 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4)))) (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))))
(.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 4)))) (.f64 1 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))))
(.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(+.f64 (.f64 1 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 1 (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (-.f64 1 (pow.f64 x 6)))) (.f64 (.f64 x x) (/.f64 (.f64 2 (+.f64 x (*.f64 x x))) (-.f64 1 (pow.f64 x 6)))))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 2 (.f64 (+.f64 x (.f64 x x)) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 2 (/.f64 (+.f64 x (.f64 x x)) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (.f64 2 x) (.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 1 (.f64 (/.f64 2 (-.f64 1 x)) x))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (+.f64 x 1) (.f64 (.f64 2 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (+.f64 x 1) (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 1 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(.f64 (.f64 2 (+.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 x x) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (.f64 (+.f64 x 1) x))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(.f64 (fma.f64 x x x) (.f64 2 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 6)))))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 2) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
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(.f64 (/.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (.f64 2 (.f64 (+.f64 x 1) x)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2))) (cbrt.f64 (+.f64 1 (.f64 x x))))
(.f64 (/.f64 2 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (fma.f64 x x x)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(neg.f64 (/.f64 (.f64 2 (+.f64 x (.f64 x x))) (+.f64 -1 (*.f64 x x))))
(/.f64 (.f64 (.f64 -2 (.f64 (+.f64 x 1) x)) 1) (+.f64 -1 (.f64 x x)))
(*.f64 -2 (/.f64 (fma.f64 x x x) (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2))
(fabs.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (/.f64 (.f64 8 (pow.f64 (.f64 (+.f64 x 1) x) 3)) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (/.f64 (.f64 8 (pow.f64 (fma.f64 x x x) 3)) (pow.f64 (-.f64 1 (.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(+.f64 1 (fma.f64 (/.f64 2 (-.f64 1 x)) x -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 x) (.f64 (.f64 2 (.f64 x x)) 1))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 x) (.f64 1 (.f64 (.f64 2 (*.f64 x x)) 1)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 x) (.f64 (.f64 (.f64 2 (*.f64 x x)) 1) 1))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (.f64 x x)) (*.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 (.f64 2 (.f64 x x)) 1) (.f64 2 x))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) (-.f64 1 (.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) 1) (.f64 2 (*.f64 x x)))
(fma.f64 2 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) (-.f64 1 (.f64 (.f64 2 (.f64 x x)) 1)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) 1) (.f64 2 (*.f64 x x)))
(fma.f64 2 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (+.f64 x (.f64 x x))))) 1)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(-.f64 (+.f64 (.f64 2 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 2 x))) 1) (.f64 2 (*.f64 x x)))
(fma.f64 2 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 2 x))))
(/.f64 (.f64 2 (+.f64 x (.f64 x x))) 1)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(/.f64 (.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (.f64 2 x) (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))))
(/.f64 2 (/.f64 (-.f64 1 x) (+.f64 x (pow.f64 (neg.f64 x) 3))))
(/.f64 (.f64 (.f64 2 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (.f64 (.f64 2 x) (+.f64 (pow.f64 x 3) 1)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 2 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 x (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 1 (.f64 x x)) (*.f64 2 x)) (-.f64 1 x))
(/.f64 (.f64 2 x) (/.f64 (-.f64 1 x) (-.f64 1 (.f64 x x))))
(/.f64 2 (/.f64 (-.f64 1 x) (+.f64 x (pow.f64 (neg.f64 x) 3))))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 2 x)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (.f64 (.f64 2 x) (+.f64 (pow.f64 x 3) 1)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 2 (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 x (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x)))) (-.f64 (.f64 2 x) (.f64 2 (.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 4 (pow.f64 x 4))) (.f64 2 (-.f64 x (*.f64 x x))))
(/.f64 (.f64 4 (-.f64 (.f64 x x) (pow.f64 x 4))) (.f64 2 (-.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x)))) (.f64 1 (-.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 4 (pow.f64 x 4))) (.f64 2 (-.f64 x (*.f64 x x))))
(/.f64 (.f64 4 (-.f64 (.f64 x x) (pow.f64 x 4))) (.f64 2 (-.f64 x (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (.f64 2 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x))) (.f64 (.f64 2 x) (.f64 2 (.f64 x x))))))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 8 (pow.f64 (.f64 x x) 3))) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 4 (pow.f64 x 4)) (.f64 (.f64 (.f64 2 x) 2) (*.f64 x x)))))
(/.f64 (.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (-.f64 (.f64 4 (fma.f64 x x (pow.f64 x 4))) (.f64 (.f64 x x) (*.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (.f64 2 (.f64 x x)) 3)) (.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x x))) (.f64 (.f64 2 x) (.f64 2 (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 8 (pow.f64 (.f64 x x) 3))) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 4 (pow.f64 x 4)) (.f64 (.f64 (.f64 2 x) 2) (*.f64 x x)))))
(/.f64 (.f64 8 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (-.f64 (.f64 4 (fma.f64 x x (pow.f64 x 4))) (.f64 (.f64 x x) (*.f64 x 4))))
(pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 1)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(pow.f64 (sqrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 2)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(pow.f64 (cbrt.f64 (.f64 2 (+.f64 x (.f64 x x)))) 3)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(pow.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3) 1/3)
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 2))
(sqrt.f64 (pow.f64 (.f64 2 (.f64 (+.f64 x 1) x)) 2))
(fabs.f64 (*.f64 2 (fma.f64 x x x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 x 1)))
(*.f64 (+.f64 x 1) (log.f64 (pow.f64 (exp.f64 x) 2)))
(.f64 (+.f64 x 1) (.f64 2 (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (+.f64 x (.f64 x x))))))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (.f64 2 (+.f64 x (.f64 x x))) 3))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 x) 3) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (.f64 2 x) 3)))
(cbrt.f64 (.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(exp.f64 (+.f64 (log.f64 (*.f64 2 x)) (log1p.f64 x)))
(.f64 (.f64 2 x) (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 2 x)) (log1p.f64 x)) 1))
(exp.f64 (+.f64 (log.f64 (*.f64 2 x)) (log1p.f64 x)))
(.f64 (.f64 2 x) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (.f64 2 (+.f64 x (.f64 x x)))))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 2 x (.f64 2 (.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 x 2 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 (.f64 2 x) 1 (.f64 2 (*.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 1 (.f64 2 x) (.f64 2 (*.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (.f64 2 (.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (.f64 2 (.f64 x x)))
(.f64 2 (.f64 (+.f64 x 1) x))
(*.f64 2 (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 1 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(fabs.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))

localize14.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))

rewrite105.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1142×	`add-cube-cbrt`
1134×	`add-cbrt-cube`
1118×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1595	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))))))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
944×	`associate-*l/`
896×	`associate-*r/`
890×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	98	209
2	326	143
3	1684	143
4	6914	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

eval151.0ms (6.1%)

Compiler: Compiled 5833 to 4001 computations (31.4% saved)

prune41.0ms (1.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	280	6	286

Error

Counts

286 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
✓	1.6b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
✓	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 63 to 52 computations (17.5% saved)

regimes55.0ms (2.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 (.f64 2 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))))

Outputs
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))

Calls

4 calls:

40.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 88 to 70 computations (20.5% saved)

regimes5.0ms (0.2%)

Accuracy

Total -62.4b remaining (-3804.5%)

Threshold costs -62.4b (-3804.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	27	57
2	31	57
3	33	57
4	34	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 23 to 20 computations (13% saved)

soundness268.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def`
516×	`associate-r`
410×	`associate-/r*`
372×	`associate-/l*`
344×	`associate-l`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	20	29
2	31	29
3	47	29
4	63	29
5	84	29
6	141	29
7	238	25
8	358	25
9	529	25
10	706	25
11	970	25
12	1290	25
13	2216	25
14	2893	25
15	3759	25
16	3785	25
17	3831	25
18	3871	25
19	3871	25

Stop Event

1×

saturated

Compiler

Compiled 21 to 17 computations (19% saved)

end21.0ms (0.9%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

Details

analyze3.0ms (0.1%)

sample685.0ms (27.7%)

preprocess10.0ms (0.4%)

simplify116.0ms (4.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize16.0ms (0.6%)

series3.0ms (0.1%)

rewrite80.0ms (3.2%)

simplify102.0ms (4.1%)

localize15.0ms (0.6%)

series1.0ms (0%)

rewrite66.0ms (2.7%)

simplify73.0ms (3%)

eval196.0ms (7.9%)

prune84.0ms (3.4%)

localize4.0ms (0.2%)

localize7.0ms (0.3%)

localize26.0ms (1%)

series2.0ms (0.1%)

rewrite89.0ms (3.6%)

simplify158.0ms (6.4%)

localize14.0ms (0.6%)

series1.0ms (0%)

rewrite105.0ms (4.2%)

simplify66.0ms (2.7%)

eval151.0ms (6.1%)

prune41.0ms (1.7%)

regimes55.0ms (2.2%)

regimes5.0ms (0.2%)

simplify5.0ms (0.2%)

soundness268.0ms (10.9%)

end21.0ms (0.9%)

Profiling