Details

analyze5.0ms (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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.2s (24%)

Results

1.2s	5708×	body	256	valid
886.0ms	2096×	body	512	valid
161.0ms	452×	body	1024	valid

Bogosity

preprocess80.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
34×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
34×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 34 to 28 computations (17.6% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

80.2%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	80.2%	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 1 (-.f64 x 1))
✓	95.1%	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
1.0ms	x	@	0	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 x 1))
0.0ms	x	@	0	(/.f64 1 (-.f64 x 1))

rewrite243.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-/r*`
1102×	`associate-/r/`
976×	`*-commutative`
778×	`distribute-lft-in`
734×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	212	44
2	3095	40

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs
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Outputs

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

simplify235.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-+r-`
672×	`*-commutative`
666×	`distribute-lft-in`
658×	`fma-def`
602×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11677
1	1748	10967
2	7536	10941

Stop Event

1×	node limit

Counts

217 → 386

Calls

Call 1

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

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

eval337.0ms (3.6%)

Compiler: Compiled 9530 to 7156 computations (24.9% saved)

prune119.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	382	4	386
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	382	5	387

Error

99.0%

Counts

387 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	80.9%	(/.f64 (-.f64 (+.f64 2 x) x) (*.f64 (+.f64 x 1) (-.f64 1 x)))
▶	44.1%	(/.f64 -2 (*.f64 x x))
✓	80.2%	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶	55.6%	(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
	55.7%	2

Compiler

Compiled 44 to 34 computations (22.7% saved)

localize20.0ms (0.2%)

Compiler: Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	98.9%	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`add-sqr-sqrt`
1176×	`*-un-lft-identity`
1120×	`pow1`
1102×	`add-cube-cbrt`
1094×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1565	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1438×	`distribute-lft-in`
1402×	`associate-/r*`
966×	`associate-+r+`
942×	`associate-+l+`
878×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	134	485
2	448	485
3	2622	485

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(*.f64 (+.f64 x 1) (-.f64 1 x))
✓	100.0%	(/.f64 (-.f64 (+.f64 2 x) x) (*.f64 (+.f64 x 1) (-.f64 1 x)))
✓	95.8%	(-.f64 (+.f64 2 x) x)

Compiler

Compiled 38 to 26 computations (31.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite157.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`distribute-rgt-in`
1208×	`associate-/l/`
1196×	`distribute-lft-in`
276×	`add-sqr-sqrt`
268×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	262	45
2	4176	45

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (neg.f64 (/.f64 (/.f64 x (+.f64 x 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (*.f64 1 (neg.f64 (/.f64 (/.f64 x (+.f64 x 1)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 x (+.f64 x 1)) (-.f64 1 x))) (/.f64 (+.f64 2 x) (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) x) (*.f64 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) 1) (*.f64 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) 1) (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) (fma.f64 x x x)) (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 2 x) (*.f64 (+.f64 x 1) (-.f64 1 x))) 1) (*.f64 (neg.f64 (/.f64 (/.f64 x (+.f64 x 1)) (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))) (*.f64 1 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))) (*.f64 x (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 2 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (/.f64 2 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x 1))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (+.f64 x 1)) (/.f64 (sqrt.f64 2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (-.f64 1 x)) (/.f64 (sqrt.f64 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) 1) (/.f64 (cbrt.f64 2) (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (+.f64 x 1)) (/.f64 (cbrt.f64 2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (-.f64 1 x)) (/.f64 (cbrt.f64 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 (cbrt.f64 2) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 x 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))

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

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

912×	`*-commutative`
824×	`unswap-sqr`
770×	`associate-/r/`
648×	`+-commutative`
544×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5739
1	1092	4671
2	3771	4535

Stop Event

1×	node limit

Counts

191 → 229

Calls

Call 1

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

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

eval137.0ms (1.5%)

Compiler: Compiled 4426 to 3079 computations (30.4% saved)

prune57.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	248	5	253
Fresh	0	1	1
Picked	1	0	1
Done	2	1	3
Total	251	7	258

Error

100.0%

Counts

258 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	99.0%	(/.f64 2 (-.f64 1 (*.f64 x x)))
▶	99.0%	(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
✓	44.1%	(/.f64 -2 (*.f64 x x))
▶	45.1%	(*.f64 (pow.f64 x -2) -2)
▶	93.1%	(.f64 (/.f64 2 (.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (+.f64 x 1))
▶	45.0%	(*.f64 (/.f64 -2 x) (/.f64 1 x))
	55.7%	2

Compiler

Compiled 104 to 80 computations (23.1% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	100.0%	(*.f64 (+.f64 x 1) (-.f64 1 x))
✓	99.0%	(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-/r*`
870×	`*-commutative`
668×	`unswap-sqr`
596×	`distribute-lft-in`
584×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	200	25
2	2663	15

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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((x exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1338×	`distribute-lft-in`
1058×	`distribute-rgt-in`
914×	`associate-/l*`
900×	`*-commutative`
792×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3066
1	669	2884
2	2493	2878

Stop Event

1×	node limit

Counts

78 → 144

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.6%	(*.f64 (/.f64 -2 x) (/.f64 1 x))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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))

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1394×	`add-cube-cbrt`
1376×	`add-cbrt-cube`
1364×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	1994	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-/r/`
902×	`distribute-lft-in`
894×	`distribute-rgt-in`
858×	`associate-r`
678×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	624
1	213	624
2	675	624
3	3295	624

Stop Event

1×	node limit

Counts

48 → 38

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.0%	(/.f64 2 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1536×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2159	19

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-*r/`
1328×	`associate-r`
1096×	`associate-l`
1046×	`associate-+r+`
910×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	956
1	249	918
2	940	904
3	4614	904

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1))
✓	99.6%	(/.f64 2 (.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
✓	93.6%	(.f64 (/.f64 2 (.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (+.f64 x 1))

Compiler

Compiled 50 to 30 computations (40% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite165.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-/r/`
1206×	`distribute-lft-in`
838×	`associate-/l*`
474×	`associate-/l/`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	99
1	256	99
2	3713	81

Stop Event

1×	node limit

Counts

3 → 296

Calls

Call 1

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

Outputs

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-r`
1338×	`associate-/l*`
1334×	`associate-/r*`
1174×	`associate-l`
864×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	769	16724
1	2401	15552

Stop Event

1×	node limit

Counts

332 → 486

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(*.f64 (pow.f64 x -2) -2)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1098×	`*-un-lft-identity`
1044×	`pow1`
1028×	`add-cube-cbrt`
1018×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1444	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (pow.f64 x -2) -2)

Outputs

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1302×	`distribute-rgt-in`
1282×	`distribute-lft-in`
998×	`log-prod`
920×	`associate-*r/`
802×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	299
1	95	299
2	338	299
3	1803	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

eval612.0ms (6.6%)

Compiler: Compiled 17439 to 12123 computations (30.5% saved)

prune313.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	871	4	875
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	874	8	882

Error

100.0%

Counts

882 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.1%	(/.f64 (/.f64 -2 x) x)
▶	68.8%	(/.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (*.f64 1/2 (-.f64 1 x))))
▶	93.2%	(/.f64 (+.f64 2 (.f64 x 2)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
✓	99.0%	(/.f64 2 (-.f64 1 (*.f64 x x)))
✓	99.0%	(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
✓	44.1%	(/.f64 -2 (*.f64 x x))
▶	38.3%	(.f64 (/.f64 2 (.f64 (+.f64 x 1) (*.f64 x (neg.f64 x)))) (+.f64 x 1))
	55.7%	2

Compiler

Compiled 85 to 62 computations (27.1% saved)

localize43.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(.f64 (+.f64 x 1) (.f64 x (neg.f64 x)))
✓	99.5%	(/.f64 2 (.f64 (+.f64 x 1) (.f64 x (neg.f64 x))))
✓	93.6%	(.f64 (/.f64 2 (.f64 (+.f64 x 1) (*.f64 x (neg.f64 x)))) (+.f64 x 1))

Compiler

Compiled 45 to 23 computations (48.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite188.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`associate-/l*`
736×	`swap-sqr`
696×	`distribute-rgt-in`
672×	`distribute-lft-in`
630×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	93
1	263	81
2	3708	81

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(.f64 (/.f64 2 (.f64 (+.f64 x 1) (*.f64 x (neg.f64 x)))) (+.f64 x 1))
(/.f64 2 (.f64 (+.f64 x 1) (.f64 x (neg.f64 x))))
(.f64 (+.f64 x 1) (.f64 x (neg.f64 x)))

Outputs

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

simplify242.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-/r*`
1040×	`associate-r`
950×	`associate-/l*`
924×	`associate-l`
664×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	9618
1	1618	9094

Stop Event

1×	node limit

Counts

262 → 372

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(.f64 (-.f64 1 (.f64 x x)) (+.f64 1 x))
✓	93.2%	(/.f64 (+.f64 2 (.f64 x 2)) (.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))

Compiler

Compiled 47 to 29 computations (38.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite185.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`associate-/r/`
1550×	`associate-/l/`
1302×	`distribute-lft-in`
286×	`add-sqr-sqrt`
278×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	277	56
2	4103	56

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) 2) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (*.f64 2 x)) (*.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1) (*.f64 (/.f64 (fma.f64 2 x 2) (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 x 3))) 1))))) 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simplify176.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

772×	`*-commutative`
766×	`distribute-lft-in`
754×	`associate-r`
732×	`associate-/r*`
714×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	569	11315
1	1911	9249

Stop Event

1×	node limit

Counts

225 → 335

Calls

Call 1

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

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

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

100.0%

(*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

✓

100.0%

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

✓

69.2%

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

Compiler

Compiled 68 to 42 computations (38.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`distribute-lft-in`
1388×	`associate-/l/`
304×	`add-sqr-sqrt`
294×	`pow1`
294×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	129
1	295	111
2	4449	111

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

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

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

(*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (*.f64 1/2 (-.f64 1 x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 1/2 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (*.f64 1/2 (-.f64 1 x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (*.f64 1 (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 1/2 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 1/2 (-.f64 1 x)))))) (/.f64 (/.f64 1 (*.f64 1/2 (-.f64 1 x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (*.f64 1/2 (-.f64 1 x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) 1) (*.f64 (/.f64 (/.f64 1 (*.f64 1/2 (-.f64 1 x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))) (*.f64 x (neg.f64 x))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (-.f64 1 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (*.f64 (-.f64 1 (*.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x (neg.f64 x)) (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (*.f64 x (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (*.f64 (+.f64 1 x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 (+.f64 1 x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) x))))) 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simplify237.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`associate-+l+`
894×	`+-commutative`
870×	`associate-+r+`
830×	`associate-/r*`
696×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	10383
1	1506	8639
2	6580	8639

Stop Event

1×	node limit

Counts

225 → 300

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.8%	(/.f64 (/.f64 -2 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`add-sqr-sqrt`
1356×	`*-un-lft-identity`
1276×	`add-cube-cbrt`
1262×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1715	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1358×	`associate-+l+`
834×	`distribute-rgt-in`
798×	`distribute-lft-in`
730×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	255	726
2	878	726
3	3730	726

Stop Event

1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

eval709.0ms (7.6%)

Compiler: Compiled 23579 to 15669 computations (33.5% saved)

prune395.0ms (4.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1049	2	1051
Fresh	0	1	1
Picked	0	1	1
Done	2	4	6
Total	1051	8	1059

Error

100.0%

Counts

1059 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.1%	(/.f64 (/.f64 -2 x) x)
✓	68.8%	(/.f64 (-.f64 1 (.f64 x x)) (.f64 (.f64 (+.f64 x 1) (-.f64 1 (.f64 x x))) (*.f64 1/2 (-.f64 1 x))))
	38.3%	(/.f64 (+.f64 2 (.f64 x 2)) (.f64 (+.f64 x 1) (*.f64 x (neg.f64 x))))
✓	99.0%	(/.f64 2 (-.f64 1 (*.f64 x x)))
✓	99.0%	(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
✓	44.1%	(/.f64 -2 (*.f64 x x))
	38.9%	(.f64 (/.f64 -2 (.f64 (*.f64 x x) (+.f64 x -1))) (+.f64 x 1))
	55.7%	2

Compiler

Compiled 83 to 60 computations (27.7% saved)

regimes30.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
6.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 179 to 123 computations (31.3% saved)

regimes23.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.694341785630938e-8	1976844011108.8628
22.0ms	-18.02618153977649	-0.007850099530998378

Results

50.0ms

304×

body

256

valid

Compiler

Compiled 206 to 165 computations (19.9% saved)

regimes18.0ms (0.2%)

Accuracy

Total -61.9b remaining (-5611.3%)

Threshold costs -61.90b (-5611.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.694341785630938e-8	1976844011108.8628
24.0ms	-18.02618153977649	-0.007850099530998378

Results

48.0ms

304×

body

256

valid

Compiler

Compiled 206 to 165 computations (19.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	36	98
2	43	98
3	47	98
4	49	98

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
2

Outputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) 2)
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -2 (*.f64 x x)) 2)
2

Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness239.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

1338×	`distribute-lft-in`
1058×	`distribute-rgt-in`
914×	`associate-/l*`
900×	`*-commutative`
792×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11677
1	1748	10967
2	7536	10941
0	224	3066
1	669	2884
2	2493	2878

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 255 to 185 computations (27.5% saved)

end50.0ms (0.5%)

Compiler: Compiled 39 to 28 computations (28.2% saved)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Details

analyze5.0ms (0.1%)

sample2.2s (24%)

preprocess80.0ms (0.9%)

simplify35.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize21.0ms (0.2%)

series14.0ms (0.1%)

rewrite243.0ms (2.6%)

simplify235.0ms (2.5%)

eval337.0ms (3.6%)

prune119.0ms (1.3%)

localize20.0ms (0.2%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite100.0ms (1.1%)

simplify75.0ms (0.8%)

localize31.0ms (0.3%)

series2.0ms (0%)

rewrite157.0ms (1.7%)

simplify163.0ms (1.8%)

eval137.0ms (1.5%)

prune57.0ms (0.6%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite100.0ms (1.1%)

simplify98.0ms (1.1%)

localize13.0ms (0.1%)

series0.0ms (0%)

rewrite96.0ms (1%)

simplify89.0ms (1%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite98.0ms (1%)

simplify95.0ms (1%)

localize19.0ms (0.2%)

series2.0ms (0%)

rewrite165.0ms (1.8%)

simplify228.0ms (2.4%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite89.0ms (1%)

simplify76.0ms (0.8%)

eval612.0ms (6.6%)

prune313.0ms (3.4%)

localize43.0ms (0.5%)

series3.0ms (0%)

rewrite188.0ms (2%)

simplify242.0ms (2.6%)

localize30.0ms (0.3%)

series2.0ms (0%)

rewrite185.0ms (2%)

simplify176.0ms (1.9%)

localize48.0ms (0.5%)

series3.0ms (0%)

rewrite171.0ms (1.8%)

simplify237.0ms (2.5%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite89.0ms (1%)

simplify92.0ms (1%)

eval709.0ms (7.6%)

prune395.0ms (4.2%)

regimes30.0ms (0.3%)

regimes23.0ms (0.2%)

bsearch56.0ms (0.6%)

regimes18.0ms (0.2%)

bsearch54.0ms (0.6%)

simplify11.0ms (0.1%)

soundness239.0ms (2.6%)

end50.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31