Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.9s (15.5%)

Results

952.0ms	2206×	body	2048	valid
501.0ms	4537×	body	256	valid
312.0ms	1011×	body	1024	valid
138.0ms	502×	body	512	valid

Bogosity

preprocess17.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

8×	`sub-neg_binary64`
8×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	22	15
2	29	15
3	37	15
4	44	15
5	54	15
6	65	15
7	77	15
8	80	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
8×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	22	15
2	29	15
3	37	15
4	44	15
5	54	15
6	65	15
7	77	15
8	80	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval1.0ms (0%)

Compiler: Compiled 35 to 32 computations (8.6% saved)

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.9b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	1.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`unpow-prod-down_binary64`
406×	`log-prod_binary64`
387×	`prod-diff_binary64`
249×	`pow2_binary64`
228×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	201	44
2	2602	44

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 3) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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1/4)) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 2) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -1)))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

787×	`times-frac_binary64`
355×	`fma-neg_binary64`
342×	`sqr-pow_binary64`
218×	`exp-prod_binary64`
181×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	4535
1	1375	4316
2	4014	4292

Stop Event

1×	node limit

Counts

249 → 390

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 1))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 3) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
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(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/6) 1/3))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (pow.f64 (/.f64 1 (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) 1/2))
(*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (pow.f64 (/.f64 1 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/4) 1/2))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/4) 1/2) (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 2) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(/.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -1)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (sqrt.f64 1/2)) (/.f64 -1/4 (.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 (.f64 -1/2 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4)) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (-.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/4 (.f64 (pow.f64 x 4) 3/16)))
(+.f64 (fma.f64 (.f64 x x) -1/4 1/2) (.f64 (pow.f64 x 4) 3/16))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 (pow.f64 x 4) 3/16))))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) 3/16 (.f64 (pow.f64 x 6) -5/32))))
(+.f64 (fma.f64 (.f64 x x) -1/4 1/2) (fma.f64 (pow.f64 x 6) -5/32 (.f64 (pow.f64 x 4) 3/16)))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 -1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (/.f64 1/2 x)) (/.f64 3/16 (pow.f64 x 5)))
(-.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (/.f64 -1/2 x)) (/.f64 3/16 (pow.f64 x 5)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 1 (fma.f64 (.f64 x x) -1/4 (.f64 (pow.f64 x 4) 3/16)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 (pow.f64 x 4) 3/16))))
(+.f64 (fma.f64 (pow.f64 x 4) 3/16 (.f64 (pow.f64 x 6) -5/32)) (fma.f64 (.f64 x x) -1/4 1))
(+.f64 (fma.f64 (pow.f64 x 6) -5/32 (.f64 (pow.f64 x 4) 3/16)) (fma.f64 (.f64 x x) -1/4 1))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(+.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))) (/.f64 3/16 (pow.f64 x 5)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/8 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 1) (.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (.f64 (pow.f64 x 4) 11/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 1)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
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(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/12) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/12))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 2) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/4) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 5/4)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(/.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/6)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) -1)

eval177.0ms (1.4%)

Compiler: Compiled 7432 to 6574 computations (11.5% saved)

prune70.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	379	11	390
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	379	12	391

Error

0.0b

Counts

391 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.3b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
	14.4b	(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))
	14.4b	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	14.4b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	14.4b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	34.6b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	34.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	33.5b	(-.f64 1 (sqrt.f64 1/2))
	30.1b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
	30.0b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶	30.0b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 359 to 312 computations (13.1% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	0.8b	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

Compiler

Compiled 82 to 71 computations (13.4% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
504×	`prod-diff_binary64`
323×	`fma-def_binary64`
243×	`log-div_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	279	43
2	3973	43

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

Inputs

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

(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 -1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (/.f64 1 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))) (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule 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Outputs

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

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

302×	`fma-def_binary64`
299×	`div-sub_binary64`
296×	`associate-/r*_binary64`
260×	`fma-neg_binary64`
205×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	586	5263
1	1677	4854
2	6039	4852

Stop Event

1×	node limit

Counts

182 → 309

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (+.f64 (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))))
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
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(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(fma.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/2 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (hypot.f64 1 x))))
(+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (neg.f64 (/.f64 -1/2 (hypot.f64 1 x))))))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (.f64 x x)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (.f64 x x))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 (pow.f64 x 4) -3/16 (.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (-.f64 (/.f64 -1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 x x) 1/8)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 (.f64 x x) 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 (pow.f64 x 4) -11/128)))
(fma.f64 (.f64 x x) 1/8 (fma.f64 (pow.f64 x 4) -11/128 (.f64 (pow.f64 x 6) 69/1024)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (.f64 x x) 1/8 (fma.f64 (pow.f64 x 6) 69/1024 (fma.f64 (pow.f64 x 4) -11/128 (.f64 (pow.f64 x 8) -1843/32768))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x)))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/64 (.f64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 1/2))))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x))) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 x x) (sqrt.f64 1/2)))))))
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(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4)) (.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4)) (.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4)) (.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) 1/3)
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3)
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (neg.f64 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 1) (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	180	21
2	2356	21

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
438×	`div-sub_binary64`
408×	`fma-def_binary64`
211×	`unswap-sqr_binary64`
206×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1306
1	359	1208
2	1257	1134
3	5565	1114

Stop Event

1×	node limit

Counts

66 → 91

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 x))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (+.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2))) (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))) (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (-.f64 (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
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(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3/2)
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -11/128 (pow.f64 x 4))
✓	17.5b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
1.0ms	x	@	0	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 -11/128 (pow.f64 x 4))
0.0ms	x	@	-inf	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 -11/128 (pow.f64 x 4))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	186	21
2	1936	21

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 (*.f64 x x)) 1) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3) (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 1/8 (*.f64 x x))) (-.f64 (*.f64 121/16384 (pow.f64 x 8)) (*.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 1/8 (*.f64 x x))) (*.f64 121/16384 (pow.f64 x 8))) (-.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -11/128)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 121/16384 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))))))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/l*_binary64`
488×	`fma-neg_binary64`
368×	`log-prod_binary64`
367×	`unswap-sqr_binary64`
365×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	582
1	218	569
2	964	562
3	4184	559

Stop Event

1×	node limit

Counts

44 → 44

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 1/8 (*.f64 x x)))
(+.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 1/8 (.f64 x x)) 1) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 1)
(.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4))))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (.f64 x x)) 3) (pow.f64 (.f64 -11/128 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x))) (-.f64 (.f64 121/16384 (pow.f64 x 8)) (.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x))) (.f64 121/16384 (pow.f64 x 8))) (-.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 1)
(pow.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (*.f64 -11/128 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(pow.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -11/128)) 2)
(sqrt.f64 (*.f64 121/16384 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 1/8 (*.f64 x x)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 1/8 (.f64 x x)) 1) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 1)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (.f64 x x)) 3) (pow.f64 (.f64 -11/128 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x))) (-.f64 (.f64 121/16384 (pow.f64 x 8)) (.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 1/512 (pow.f64 (.f64 x x) 3)) (.f64 -1331/2097152 (pow.f64 (pow.f64 x 4) 3))) (-.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 121/16384 (pow.f64 x 8))) (.f64 1/8 (.f64 (.f64 x x) (*.f64 -11/128 (pow.f64 x 4))))))
(/.f64 (fma.f64 -1331/2097152 (pow.f64 (pow.f64 x 4) 3) (.f64 1/512 (pow.f64 (.f64 x x) 3))) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 121/16384 (pow.f64 x 8) (.f64 -1/8 (.f64 (pow.f64 (*.f64 x x) 3) -11/128)))))
(/.f64 (fma.f64 -1331/2097152 (pow.f64 (pow.f64 x 4) 3) (.f64 1/512 (pow.f64 x 6))) (fma.f64 121/16384 (pow.f64 x 8) (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 x x) 11/1024) 1/64))))
(/.f64 (fma.f64 -1331/2097152 (pow.f64 x 12) (.f64 1/512 (pow.f64 x 6))) (.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 4) 121/16384) (fma.f64 (.f64 x x) -11/1024 -1/64))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x))) (.f64 121/16384 (pow.f64 x 8))) (-.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (fma.f64 1/64 (pow.f64 x 4) (.f64 (pow.f64 x 8) -121/16384)) (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (pow.f64 x 8) -121/16384)) (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) 11/128)))
(pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 1)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 3)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))) 2)
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 2))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) 3))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 -11/128 (pow.f64 x 4))) 1)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3) 1/3)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -11/128)) 2)
(*.f64 -11/128 (pow.f64 x 4))
(sqrt.f64 (*.f64 121/16384 (pow.f64 x 8)))
(*.f64 -11/128 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3))
(*.f64 -11/128 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 -11/128 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 -11/128 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))
(*.f64 -11/128 (pow.f64 x 4))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
	0.8b	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

Compiler

Compiled 62 to 53 computations (14.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`unpow-prod-down_binary64`
441×	`prod-diff_binary64`
395×	`log-prod_binary64`
265×	`fma-def_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	200	15
2	2620	15

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

634×	`associate-/r*_binary64`
344×	`associate-/l*_binary64`
263×	`fma-def_binary64`
262×	`times-frac_binary64`
258×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1594
1	458	1504
2	1389	1493
3	4675	1333

Stop Event

1×	node limit

Counts

60 → 96

Calls

Call 1

Inputs
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)

Outputs
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(fma.f64 -1/8 (*.f64 x x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 2) (.f64 11/128 (pow.f64 x 4)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 11/128 (pow.f64 x 4) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 2 (.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (fma.f64 11/128 (pow.f64 x 4) 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 11/128 (pow.f64 x 4) (fma.f64 -69/1024 (pow.f64 x 6) 2)))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (/.f64 1/32 (.f64 (.f64 (*.f64 x x) (sqrt.f64 1/2)) 1/2))))
(+.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/16 x) (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))) (-.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 1/32 (.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) 1/2))))
(+.f64 1 (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (+.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (.f64 x x)))))
(+.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (-.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (-.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (/.f64 1/16 (.f64 (.f64 x x) (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/16 x) (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 (.f64 -1/2 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4)) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 1/2) (-.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (/.f64 1/16 (.f64 (.f64 x x) (sqrt.f64 1/2)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 (/.f64 3/32 (sqrt.f64 1/2)) (pow.f64 x 3)) (-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/16 x) (sqrt.f64 1/2)) x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1/3))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 5/2)) (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2) 3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval1.0s (8.2%)

Compiler: Compiled 29854 to 26400 computations (11.6% saved)

prune243.0ms (2%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1082	13	1095
Fresh	2	4	6
Picked	0	1	1
Done	2	3	5
Total	1086	21	1107

Error

0.0b

Counts

1107 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	14.4b	(/.f64 (/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	14.4b	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	26.2b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
✓	14.4b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	23.6b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
	54.7b	(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
	33.9b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
▶	30.1b	(/.f64 1 (/.f64 8 (*.f64 x x)))
▶	14.9b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
	29.7b	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
	24.6b	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
	29.5b	(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
▶	33.1b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
	34.3b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
	34.6b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	34.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	33.5b	(-.f64 1 (sqrt.f64 1/2))
	30.1b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
✓	30.0b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 639 to 543 computations (15% saved)

localize77.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
✓	0.4b	(/.f64 1/4 (fma.f64 x x 1))
✓	0.7b	(-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))
✓	0.8b	(-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))

Compiler

Compiled 210 to 170 computations (19% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))
0.0ms	x	@	inf	(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
0.0ms	x	@	-inf	(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
0.0ms	x	@	inf	(-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))
0.0ms	x	@	0	(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
368×	`fma-def_binary64`
259×	`log1p-udef_binary64`
258×	`expm1-udef_binary64`
204×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	329	46
2	4444	46

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

Inputs
(-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))
(-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))
(/.f64 1/4 (fma.f64 x x 1))
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (pow.f64 (hypot.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/4 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 1 x) -3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (hypot.f64 1 x) 3) 8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (hypot.f64 1 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1))))))

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

626×	`unswap-sqr_binary64`
382×	`fma-neg_binary64`
330×	`div-sub_binary64`
326×	`fma-def_binary64`
228×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	6467
1	1465	6135
2	5094	5870

Stop Event

1×	node limit

Counts

268 → 401

Calls

Call 1

Inputs
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 5/32 (pow.f64 x 4)))
(+.f64 (.f64 -11/64 (pow.f64 x 6)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 5/32 (pow.f64 x 4))))
(+.f64 (.f64 -11/64 (pow.f64 x 6)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (.f64 93/512 (pow.f64 x 8)))))
(/.f64 -1/4 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 x))))
(/.f64 1/4 x)
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(+.f64 (.f64 1/4 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 -1/4 (pow.f64 x 8)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (pow.f64 x 6)) (+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 4))))
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(/.f64 1/4 (pow.f64 x 2))
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1/8
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(/.f64 (-.f64 (.f64 1/4 (hypot.f64 1 x)) (.f64 1/4 (fma.f64 x x 1))) (pow.f64 (hypot.f64 1 x) 3))
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(/.f64 (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1/16 (fma.f64 x x 1))) (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))
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(pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 3)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6)) 1/3)
(pow.f64 (*.f64 (fma.f64 x x 1) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 (fma.f64 x x 1) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 x x 1)))))
(cbrt.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 x x 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))
(*.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/8 (pow.f64 (hypot.f64 1 x) -3))
(*.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/4 (fma.f64 x x 1)))
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (pow.f64 (hypot.f64 1 x) -3) 1/8)
(pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)) 2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) 8) -1)
(sqrt.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6)))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (hypot.f64 1 x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1))

Outputs
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 5/32 (pow.f64 x 4)))
(fma.f64 -1/8 (.f64 x x) (.f64 5/32 (pow.f64 x 4)))
(fma.f64 5/32 (pow.f64 x 4) (.f64 -1/8 (.f64 x x)))
(+.f64 (.f64 -11/64 (pow.f64 x 6)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 5/32 (pow.f64 x 4))))
(fma.f64 -11/64 (pow.f64 x 6) (fma.f64 -1/8 (.f64 x x) (.f64 5/32 (pow.f64 x 4))))
(fma.f64 -11/64 (pow.f64 x 6) (fma.f64 5/32 (pow.f64 x 4) (.f64 -1/8 (.f64 x x))))
(+.f64 (.f64 -11/64 (pow.f64 x 6)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 5/32 (pow.f64 x 4)) (.f64 93/512 (pow.f64 x 8)))))
(fma.f64 -11/64 (pow.f64 x 6) (fma.f64 -1/8 (.f64 x x) (fma.f64 5/32 (pow.f64 x 4) (.f64 93/512 (pow.f64 x 8)))))
(/.f64 -1/4 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 x))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/4 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/4 x) (/.f64 -1/4 (pow.f64 x 4)))))
(/.f64 1/4 x)
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/4 x) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 x) (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 x) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 1/4 (pow.f64 x 2))
(.f64 (.f64 x x) 1/4)
(.f64 x (.f64 x 1/4))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 4) -1/4))
(fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x 4) -1/4))
(fma.f64 (pow.f64 x 4) -1/4 (.f64 x (.f64 x 1/4)))
(+.f64 (.f64 1/4 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/4 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 6) 1/4 (fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x 4) -1/4)))
(fma.f64 (pow.f64 x 6) 1/4 (fma.f64 (pow.f64 x 4) -1/4 (.f64 x (.f64 x 1/4))))
(+.f64 (.f64 1/4 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 1/4 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -1/4 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 6) 1/4 (fma.f64 (.f64 x x) 1/4 (.f64 -1/4 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (*.f64 x x)))
(+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))))
(+.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (*.f64 x x)))
(+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 1/4 (.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))))
(+.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1/4)
(+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/4 (pow.f64 x 2))))
(+.f64 1/4 (fma.f64 1/4 (pow.f64 x 4) (.f64 (.f64 x x) -1/4)))
(+.f64 1/4 (fma.f64 (.f64 x x) -1/4 (.f64 (pow.f64 x 4) 1/4)))
(+.f64 (fma.f64 (.f64 x x) -1/4 1/4) (.f64 (pow.f64 x 4) 1/4))
(+.f64 (.f64 -1/4 (pow.f64 x 6)) (+.f64 1/4 (+.f64 (.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2)))))
(fma.f64 -1/4 (pow.f64 x 6) (+.f64 1/4 (fma.f64 1/4 (pow.f64 x 4) (.f64 (.f64 x x) -1/4))))
(+.f64 (fma.f64 (.f64 x x) -1/4 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/4 1/4))
(fma.f64 (pow.f64 x 6) -1/4 (+.f64 (fma.f64 (.f64 x x) -1/4 1/4) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 x) x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
1/8
(+.f64 1/8 (*.f64 -3/16 (pow.f64 x 2)))
(+.f64 1/8 (.f64 (.f64 x x) -3/16))
(fma.f64 (*.f64 x x) -3/16 1/8)
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (.f64 15/64 (pow.f64 x 4))))
(+.f64 1/8 (fma.f64 -3/16 (.f64 x x) (.f64 (pow.f64 x 4) 15/64)))
(+.f64 1/8 (fma.f64 (.f64 x x) -3/16 (.f64 (pow.f64 x 4) 15/64)))
(+.f64 (fma.f64 (.f64 x x) -3/16 1/8) (.f64 (pow.f64 x 4) 15/64))
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (+.f64 (.f64 -35/128 (pow.f64 x 6)) (*.f64 15/64 (pow.f64 x 4)))))
(+.f64 1/8 (fma.f64 -3/16 (.f64 x x) (fma.f64 -35/128 (pow.f64 x 6) (.f64 (pow.f64 x 4) 15/64))))
(+.f64 1/8 (fma.f64 (.f64 x x) -3/16 (fma.f64 (pow.f64 x 4) 15/64 (.f64 (pow.f64 x 6) -35/128))))
(+.f64 (fma.f64 (.f64 x x) -3/16 1/8) (fma.f64 (pow.f64 x 6) -35/128 (.f64 (pow.f64 x 4) 15/64)))
(/.f64 1/8 (pow.f64 x 3))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -3/16 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 15/64 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 15/64 (pow.f64 x 7)) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 15/64 (pow.f64 x 7)) (/.f64 -3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 15/64 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 35/128 (pow.f64 x 9)))))
(+.f64 (/.f64 15/64 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -3/16 (pow.f64 x 5)) (/.f64 35/128 (pow.f64 x 9)))))
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 15/64 (pow.f64 x 7))) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 35/128 (pow.f64 x 9)) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 35/128 (pow.f64 x 9)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 35/128 (pow.f64 x 9)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7)))))
(+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))
(+.f64 (/.f64 1/4 (fma.f64 x x 1)) (*.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1))
(+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))
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(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(*.f64 (pow.f64 (hypot.f64 1 x) -3) 1/8)
(*.f64 1/8 (pow.f64 (hypot.f64 1 x) -3))
(pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3) 1/3)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (hypot.f64 1 x) 3/2)) 2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) 8) -1)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(sqrt.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6)))
(sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 6))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (hypot.f64 1 x) -3)))
(*.f64 1/8 (pow.f64 (hypot.f64 1 x) -3))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 8 (*.f64 x x)))
✓	0.5b	(/.f64 8 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 8 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 8 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 8 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (/.f64 8 (*.f64 x x)))
0.0ms	x	@	-inf	(/.f64 8 (*.f64 x x))

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`pow1_binary64`
603×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
590×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	151	14
2	1804	14

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 8 (*.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 8 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 4))) (*.f64 2 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8) x) (/.f64 (sqrt.f64 8) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8 (pow.f64 x -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/64 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 -8 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 4))) -1) (pow.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 8) x) -1) (pow.f64 (/.f64 (sqrt.f64 8) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/8)))))))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

534×	`fma-def_binary64`
515×	`log-prod_binary64`
320×	`log-div_binary64`
235×	`fma-neg_binary64`
209×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	587
1	287	584
2	900	581
3	3446	581

Stop Event

1×	node limit

Counts

72 → 66

Calls

Call 1

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

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

localize36.0ms (0.3%)

Compiler: Compiled 15 to 15 computations (0% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
✓	0.0b	(/.f64 -1/2 (hypot.f64 1 x))
✓	0.0b	(/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
✓	1.3b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))

Compiler

Compiled 64 to 56 computations (12.5% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
452×	`prod-diff_binary64`
297×	`pow2_binary64`
272×	`pow-prod-down_binary64`
204×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	274	55
2	3281	55

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))))) 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(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 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(hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)))))

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

516×	`unswap-sqr_binary64`
411×	`distribute-rgt-in_binary64`
375×	`distribute-lft-in_binary64`
203×	`sqr-pow_binary64`
185×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	5126
1	1086	4771
2	3647	4677

Stop Event

1×	node limit

Counts

219 → 256

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
-1/2
(-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))) 1/2)
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 -1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (neg.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))
(/.f64 -1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
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(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)
(fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (-.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (-.f64 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (-.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (/.f64 8 (*.f64 x x)))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))
(+.f64 11/2 (fma.f64 (.f64 x x) -17/32 (/.f64 8 (.f64 x x))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (fma.f64 69/256 (pow.f64 x 4) (.f64 (*.f64 x x) -17/32))))
(+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32)))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (-.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (.f64 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 (+.f64 (/.f64 (/.f64 3/32 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3))) (-.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (+.f64 (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (+.f64 (sqrt.f64 1/2) -1/2)) (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3)))) (+.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (.f64 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 -1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (+.f64 (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 1/8 (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (fma.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
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(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -3) -1/6) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -3) -1/6))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -3)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -2)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 (+.f64 -3/2 (/.f64 -1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)
(/.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 1)
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2))
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6)) 1)
(fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)
(-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2))

localize69.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.8b	(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

Compiler

Compiled 66 to 57 computations (13.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`pow1_binary64`
902×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	184	10
2	2374	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-neg_binary64`
584×	`associate-l_binary64`
525×	`associate-r_binary64`
397×	`fma-def_binary64`
348×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	855
1	384	811
2	1280	811
3	7315	811

Stop Event

1×	node limit

Counts

48 → 79

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(+.f64 1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (*.f64 -1 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(+.f64 1/2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (neg.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 -3/16 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 -3/16 (pow.f64 x 4) (.f64 1/4 (.f64 x x))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -35/256 (pow.f64 x 8) (.f64 -3/16 (pow.f64 x 4)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 -35/256 (pow.f64 x 8) (fma.f64 -3/16 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (-.f64 (/.f64 -1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 -1 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 1 (hypot.f64 1 x))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 1 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1))
(/.f64 1 (/.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (neg.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (fma.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))) -1))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (-.f64 3/2 (/.f64 -1/2 (hypot.f64 1 x))))
(pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/3)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log.f64 (exp.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(exp.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))

eval1.5s (12.2%)

Compiler: Compiled 47192 to 40793 computations (13.6% saved)

prune595.0ms (4.8%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1318	3	1321
Fresh	1	11	12
Picked	0	1	1
Done	0	8	8
Total	1319	23	1342

Error

Counts

1342 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	14.4b	(/.f64 (/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	14.4b	(/.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (exp.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	14.4b	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	26.2b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
✓	14.4b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	23.6b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
	54.7b	(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
▶	33.9b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
✓	30.1b	(/.f64 1 (/.f64 8 (*.f64 x x)))
✓	14.9b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
▶	29.7b	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
	24.6b	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
	29.5b	(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
✓	33.1b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
	34.3b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
	34.6b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	34.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	33.5b	(-.f64 1 (sqrt.f64 1/2))
	30.1b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
▶	30.0b	(*.f64 (/.f64 1 (/.f64 8 x)) x)
✓	30.0b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 655 to 553 computations (15.6% saved)

localize103.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/4 (fma.f64 x x 1))
	0.7b	(-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))
	0.8b	(-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))
✓	1.2b	(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 227 to 186 computations (18.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	inf	(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	-inf	(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
755×	`add-log-exp_binary64`
755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	197	10
2	2152	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64`
747×	`associate-/l*_binary64`
593×	`fma-def_binary64`
339×	`associate-l_binary64`
303×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	798
1	333	732
2	955	688
3	3748	686

Stop Event

1×	node limit

Counts

43 → 77

Calls

Call 1

Inputs
1/8
(+.f64 1/8 (*.f64 -3/16 (pow.f64 x 2)))
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (.f64 15/64 (pow.f64 x 4))))
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (+.f64 (.f64 -35/128 (pow.f64 x 6)) (*.f64 15/64 (pow.f64 x 4)))))
(/.f64 1/8 (pow.f64 x 3))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1))
(-.f64 (+.f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))
(.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/4 (+.f64 1 (.f64 x x))))
(*.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) 1/2) (/.f64 1 (hypot.f64 1 x)))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) 1) (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (cbrt.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (.f64 (hypot.f64 1 x) 2))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 1/2)) (pow.f64 (exp.f64 3) (log.f64 (hypot.f64 1 x))))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) 1/2) (hypot.f64 1 x))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) 1) (*.f64 (hypot.f64 1 x) 2))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) -1/2) (neg.f64 (hypot.f64 1 x)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (E.f64) (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))

Outputs
1/8
(+.f64 1/8 (*.f64 -3/16 (pow.f64 x 2)))
(+.f64 1/8 (.f64 -3/16 (.f64 x x)))
(fma.f64 -3/16 (*.f64 x x) 1/8)
(fma.f64 x (*.f64 -3/16 x) 1/8)
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (.f64 15/64 (pow.f64 x 4))))
(+.f64 1/8 (fma.f64 -3/16 (.f64 x x) (.f64 15/64 (pow.f64 x 4))))
(fma.f64 -3/16 (*.f64 x x) (fma.f64 15/64 (pow.f64 x 4) 1/8))
(+.f64 1/8 (+.f64 (.f64 -3/16 (pow.f64 x 2)) (+.f64 (.f64 -35/128 (pow.f64 x 6)) (*.f64 15/64 (pow.f64 x 4)))))
(+.f64 1/8 (fma.f64 -3/16 (.f64 x x) (fma.f64 -35/128 (pow.f64 x 6) (.f64 15/64 (pow.f64 x 4)))))
(+.f64 1/8 (fma.f64 -3/16 (.f64 x x) (fma.f64 15/64 (pow.f64 x 4) (.f64 -35/128 (pow.f64 x 6)))))
(fma.f64 -3/16 (*.f64 x x) (fma.f64 15/64 (pow.f64 x 4) (fma.f64 -35/128 (pow.f64 x 6) 1/8)))
(/.f64 1/8 (pow.f64 x 3))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -3/16 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 15/64 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 15/64 (pow.f64 x 7)) (/.f64 -3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 15/64 (pow.f64 x 7)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 35/128 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 15/64 (pow.f64 x 7)) (/.f64 35/128 (pow.f64 x 9)))) (/.f64 -3/16 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 15/64 (pow.f64 x 7)) (-.f64 (/.f64 -3/16 (pow.f64 x 5)) (/.f64 35/128 (pow.f64 x 9)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 15/64 (pow.f64 x 7)) (+.f64 (/.f64 -3/16 (pow.f64 x 5)) (/.f64 -35/128 (pow.f64 x 9)))))
(/.f64 -1/8 (pow.f64 x 3))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 15/64 (pow.f64 x 7))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -15/64 (pow.f64 x 7))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7))))
(-.f64 (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 9))) (.f64 3/16 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 15/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 35/128 (pow.f64 x 9)) (-.f64 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 15/64 (pow.f64 x 7))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 35/128 (pow.f64 x 9)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 35/128 (pow.f64 x 9)) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -15/64 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 35/128 (pow.f64 x 9)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 15/64 (pow.f64 x 7)))))
(+.f64 1 (-.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(-.f64 (+.f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) 1)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(*.f64 1 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/4 (+.f64 1 (.f64 x x))))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(*.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) 1/2) (/.f64 1 (hypot.f64 1 x)))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) 1) (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (cbrt.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 (.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (cbrt.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 (.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(/.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (.f64 (hypot.f64 1 x) 2))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(/.f64 (pow.f64 (exp.f64 3) (log.f64 1/2)) (pow.f64 (exp.f64 3) (log.f64 (hypot.f64 1 x))))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) 1/2) (hypot.f64 1 x))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) 1) (*.f64 (hypot.f64 1 x) 2))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(/.f64 (.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) -1/2) (neg.f64 (hypot.f64 1 x)))
(/.f64 (/.f64 1/8 (+.f64 (*.f64 x x) 1)) (hypot.f64 1 x))
(/.f64 1/8 (*.f64 (hypot.f64 1 x) (fma.f64 x x 1)))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (E.f64) (*.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) 2)
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (pow.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 2))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 3))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) -1))
(+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 0)
(/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 8 x))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (/.f64 8 x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 8 x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 8 x))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
520×	`add-log-exp_binary64`
520×	`log1p-expm1-u_binary64`
520×	`expm1-log1p-u_binary64`
510×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	129	4
2	1501	4

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 1 (/.f64 8 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 x)) (pow.f64 (*.f64 1/2 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (cbrt.f64 x)) 2) (*.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 8 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/8)))))))

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
655×	`log-prod_binary64`
394×	`associate-l_binary64`
337×	`associate-r_binary64`
315×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	157
1	171	157
2	439	157
3	2784	157

Stop Event

1×	node limit

Counts

38 → 27

Calls

Call 1

Inputs
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(-.f64 (+.f64 1 (*.f64 x 1/8)) 1)
(.f64 1 (.f64 x 1/8))
(*.f64 x 1/8)
(.f64 (.f64 x 1/8) 1)
(.f64 (.f64 1/2 (cbrt.f64 x)) (pow.f64 (*.f64 1/2 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (*.f64 1/2 (cbrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)))
(*.f64 -1 (/.f64 1 (/.f64 -8 x)))
(*.f64 1/8 x)
(*.f64 1/8 (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 8 x)) -1))
(*.f64 -1/8 (neg.f64 x))
(.f64 (.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 8 x) -1)
(pow.f64 (*.f64 x 1/8) 1)
(pow.f64 (pow.f64 (*.f64 x 1/8) 3) 1/3)
(pow.f64 (*.f64 1/2 (cbrt.f64 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/8)) 2)
(sqrt.f64 (.f64 1/64 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/8) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/8) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/8)))
(log1p.f64 (expm1.f64 (*.f64 x 1/8)))
(exp.f64 (log.f64 (*.f64 x 1/8)))

Outputs
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 x)
(-.f64 (+.f64 1 (*.f64 x 1/8)) 1)
(*.f64 1/8 x)
(.f64 1 (.f64 x 1/8))
(*.f64 1/8 x)
(*.f64 x 1/8)
(*.f64 1/8 x)
(.f64 (.f64 x 1/8) 1)
(*.f64 1/8 x)
(.f64 (.f64 1/2 (cbrt.f64 x)) (pow.f64 (*.f64 1/2 (cbrt.f64 x)) 2))
(*.f64 1/8 x)
(.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (*.f64 1/2 (cbrt.f64 x)))
(*.f64 1/8 x)
(.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)))
(*.f64 1/8 x)
(*.f64 -1 (/.f64 1 (/.f64 -8 x)))
(*.f64 1/8 x)
(*.f64 1/8 x)
(*.f64 1/8 (pow.f64 (/.f64 1 x) -1))
(*.f64 1/8 x)
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 x)) -1))
(*.f64 1/8 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 8 x)) -1))
(pow.f64 (sqrt.f64 (/.f64 8 x)) -2)
(*.f64 -1/8 (neg.f64 x))
(*.f64 1/8 x)
(.f64 (.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/8 x)
(.f64 (.f64 1/8 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/8 x)
(pow.f64 (/.f64 8 x) -1)
(*.f64 1/8 x)
(pow.f64 (*.f64 x 1/8) 1)
(*.f64 1/8 x)
(pow.f64 (pow.f64 (*.f64 x 1/8) 3) 1/3)
(*.f64 1/8 x)
(pow.f64 (*.f64 1/2 (cbrt.f64 x)) 3)
(*.f64 1/8 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/8)) 2)
(*.f64 1/8 x)
(sqrt.f64 (.f64 1/64 (.f64 x x)))
(*.f64 1/8 x)
(log.f64 (pow.f64 (exp.f64 1/8) x))
(*.f64 1/8 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/8) 3))
(*.f64 1/8 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/8)))
(*.f64 1/8 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/8)))
(*.f64 1/8 x)
(exp.f64 (log.f64 (*.f64 x 1/8)))
(*.f64 1/8 x)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite34.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`pow1_binary64`
438×	`add-sqr-sqrt_binary64`
426×	`*-un-lft-identity_binary64`
418×	`add-log-exp_binary64`
418×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	104	6
2	1124	6

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

746×	`div-sub_binary64`
634×	`fma-def_binary64`
366×	`fma-neg_binary64`
361×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	259
1	158	233
2	495	231
3	2408	231
4	6727	231

Stop Event

1×	node limit

Counts

28 → 36

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
✓	0.1b	(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x)))

Compiler

Compiled 61 to 51 computations (16.4% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
497×	`prod-diff_binary64`
313×	`fma-def_binary64`
241×	`log-div_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	258	39
2	3723	39

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs

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

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

(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

690×	`unswap-sqr_binary64`
264×	`associate-/r*_binary64`
212×	`fma-def_binary64`
200×	`div-sub_binary64`
172×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	5370
1	1415	4954
2	5226	4929

Stop Event

1×	node limit

Counts

177 → 259

Calls

Call 1

Inputs
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3)))) (+.f64 (.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 x 3))))))
(*.f64 2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 2 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (+.f64 (.f64 2 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))) (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (.f64 2 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (+.f64 (.f64 2 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))) (pow.f64 x 2))) (+.f64 (.f64 2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 2 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
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(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 -1/2 (neg.f64 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(pow.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) -1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(fma.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (/.f64 -1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1/2 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 -1/2 x)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 1)
(fma.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (+.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 x)) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))

Outputs
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 2 (*.f64 (sqrt.f64 1/2) 2))
(fma.f64 2 (sqrt.f64 1/2) 2)
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(fma.f64 2 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 2 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x) (/.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))
(fma.f64 2 (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (/.f64 (/.f64 1/2 x) (sqrt.f64 1/2)))
(+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2))) x))
(-.f64 (+.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(+.f64 (fma.f64 2 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 1/2) 3)) (neg.f64 (fma.f64 2 (+.f64 (sqrt.f64 1/2) 1) (/.f64 1/2 (sqrt.f64 1/2))))) (.f64 x x)) (/.f64 1/2 (.f64 (sqrt.f64 1/2) x)))) (*.f64 2 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x)))
(-.f64 (fma.f64 2 (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (/.f64 (/.f64 1/2 x) (sqrt.f64 1/2))) (/.f64 (+.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (fma.f64 (sqrt.f64 1/2) -2 -2)) (/.f64 -1/2 (sqrt.f64 1/2))) (*.f64 x x)))
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(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 -1/2 (neg.f64 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (+.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 x)) (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(fma.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 x)) (/.f64 (neg.f64 (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (/.f64 -1/4 (.f64 x x))))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))) (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x -17/32))
✓	0.2b	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
	0.5b	(/.f64 8 (*.f64 x x))
✓	14.0b	(fma.f64 (pow.f64 x 4) 69/256 (.f64 x (.f64 x -17/32)))

Compiler

Compiled 87 to 59 computations (32.2% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(fma.f64 (pow.f64 x 4) 69/256 (.f64 x (.f64 x -17/32)))
1.0ms	x	@	inf	(fma.f64 (pow.f64 x 4) 69/256 (.f64 x (.f64 x -17/32)))
1.0ms	x	@	inf	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
1.0ms	x	@	0	(fma.f64 (pow.f64 x 4) 69/256 (.f64 x (.f64 x -17/32)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`prod-diff_binary64`
439×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	379	48
2	4787	46

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(fma.f64 (pow.f64 x 4) 69/256 (.f64 x (.f64 x -17/32)))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(.f64 x (.f64 x -17/32))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -17/32)) (*.f64 (pow.f64 x 4) 69/256))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) 69/256) 1) (*.f64 x (*.f64 x -17/32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 69/256) 3) (pow.f64 (*.f64 x (*.f64 x -17/32)) 3)) (fma.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 (pow.f64 x 4) 69/256) (-.f64 (*.f64 (pow.f64 x 4) 289/1024) (*.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 (pow.f64 x 4) 69/256) (neg.f64 (*.f64 (pow.f64 x 4) 289/1024))) (-.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1/2) (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1) (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 512 (pow.f64 x 6)) (pow.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)) 3))) (fma.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)) (-.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)) (*.f64 8 (pow.f64 x -2))) (/.f64 64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 64 (pow.f64 x 4)) (pow.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)) 2))) (-.f64 (*.f64 8 (pow.f64 x -2)) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -17/32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -17/32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -17/32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -17/32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -17/32)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 289/1024))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -17/32))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -17/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -17/32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -17/32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -17/32) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -17/32))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -17/32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -17/32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -17/32))) 1))))))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

620×	`unswap-sqr_binary64`
550×	`fma-neg_binary64`
435×	`fma-def_binary64`
317×	`distribute-rgt-in_binary64`
303×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	1779
1	493	1737
2	1739	1728
3	7857	1728

Stop Event

1×	node limit

Counts

99 → 114

Calls

Call 1

Inputs
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(*.f64 69/256 (pow.f64 x 4))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(*.f64 69/256 (pow.f64 x 4))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(/.f64 256/69 (pow.f64 x 4))
(+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (*.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))) (.f64 8617066496/22667121 (/.f64 1 (pow.f64 x 10)))))
(/.f64 256/69 (pow.f64 x 4))
(+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (*.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))) (.f64 8617066496/22667121 (/.f64 1 (pow.f64 x 10)))))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x -17/32)) (*.f64 (pow.f64 x 4) 69/256))
(+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (*.f64 x -17/32)))
(+.f64 (.f64 (.f64 (pow.f64 x 4) 69/256) 1) (.f64 x (.f64 x -17/32)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)))) 1)
(.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 1)
(.f64 1 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 2) (cbrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) (sqrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 69/256) 3) (pow.f64 (.f64 x (.f64 x -17/32)) 3)) (fma.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 (pow.f64 x 4) 69/256) (-.f64 (.f64 (pow.f64 x 4) 289/1024) (.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 (fma.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 (pow.f64 x 4) 69/256) (neg.f64 (.f64 (pow.f64 x 4) 289/1024))) (-.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))
(pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 2)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 2))
(log.f64 (exp.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))))
(exp.f64 (log.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))))) 1)
(.f64 1 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)))))
(.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)))) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))
(.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))) -1/2) (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)))) -1) (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) -1))
(.f64 (/.f64 1 (+.f64 (/.f64 512 (pow.f64 x 6)) (pow.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)) 3))) (fma.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)) (-.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)) (*.f64 8 (pow.f64 x -2))) (/.f64 64 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 (/.f64 64 (pow.f64 x 4)) (pow.f64 (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)) 2))) (-.f64 (.f64 8 (pow.f64 x -2)) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))))
(pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1)
(pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))) 3)
(pow.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (*.f64 x -17/32) 11/2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) (fma.f64 (pow.f64 x 4) 69/256 (fma.f64 x (.f64 x -17/32) 11/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -17/32)))) 1)
(pow.f64 (.f64 x (.f64 x -17/32)) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x -17/32)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x -17/32))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -17/32)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 289/1024))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -17/32))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x -17/32)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x -17/32)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x -17/32) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x -17/32) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -17/32))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -17/32))))
(exp.f64 (log.f64 (.f64 x (.f64 x -17/32))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -17/32))) 1))

Outputs
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(*.f64 69/256 (pow.f64 x 4))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(*.f64 69/256 (pow.f64 x 4))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (pow.f64 x 2)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 x x) 1/8)
(.f64 x (.f64 x 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 x (.f64 x 1/8)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 (pow.f64 x 4) -11/128)))
(fma.f64 (.f64 x x) 1/8 (fma.f64 (pow.f64 x 4) -11/128 (.f64 69/1024 (pow.f64 x 6))))
(fma.f64 x (.f64 x 1/8) (fma.f64 (pow.f64 x 4) -11/128 (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (.f64 x x) 1/8 (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -11/128 (.f64 -1843/32768 (pow.f64 x 8)))))
(fma.f64 x (.f64 x 1/8) (fma.f64 (pow.f64 x 4) -11/128 (fma.f64 69/1024 (pow.f64 x 6) (.f64 -1843/32768 (pow.f64 x 8)))))
(/.f64 256/69 (pow.f64 x 4))
(+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 34816/4761 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (*.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 34816/4761 (pow.f64 x 6))) (/.f64 20135936/328509 (pow.f64 x 8)))
(+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (-.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 20135936/328509 (pow.f64 x 8))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (/.f64 -20135936/328509 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))) (.f64 8617066496/22667121 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (-.f64 (/.f64 34816/4761 (pow.f64 x 6)) (+.f64 (/.f64 20135936/328509 (pow.f64 x 8)) (/.f64 8617066496/22667121 (pow.f64 x 10)))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (+.f64 (/.f64 -20135936/328509 (pow.f64 x 8)) (/.f64 -8617066496/22667121 (pow.f64 x 10)))))
(/.f64 256/69 (pow.f64 x 4))
(+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 34816/4761 (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (*.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 34816/4761 (pow.f64 x 6))) (/.f64 20135936/328509 (pow.f64 x 8)))
(+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (-.f64 (/.f64 256/69 (pow.f64 x 4)) (/.f64 20135936/328509 (pow.f64 x 8))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (/.f64 -20135936/328509 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 256/69 (/.f64 1 (pow.f64 x 4))) (.f64 34816/4761 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 20135936/328509 (/.f64 1 (pow.f64 x 8))) (.f64 8617066496/22667121 (/.f64 1 (pow.f64 x 10)))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (-.f64 (/.f64 34816/4761 (pow.f64 x 6)) (+.f64 (/.f64 20135936/328509 (pow.f64 x 8)) (/.f64 8617066496/22667121 (pow.f64 x 10)))))
(+.f64 (/.f64 256/69 (pow.f64 x 4)) (+.f64 (/.f64 34816/4761 (pow.f64 x 6)) (+.f64 (/.f64 -20135936/328509 (pow.f64 x 8)) (/.f64 -8617066496/22667121 (pow.f64 x 10)))))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(*.f64 -17/32 (pow.f64 x 2))
(.f64 -17/32 (.f64 x x))
(+.f64 (.f64 x (.f64 x -17/32)) (*.f64 (pow.f64 x 4) 69/256))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (*.f64 x -17/32)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (pow.f64 x 4) 69/256) 1) (.f64 x (.f64 x -17/32)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)))) 1)
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)) 1)
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(.f64 1 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256)))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))) 2))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 2) (cbrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) (sqrt.f64 (fma.f64 x (.f64 x -17/32) (*.f64 (pow.f64 x 4) 69/256))))
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 69/256) 3) (pow.f64 (.f64 x (.f64 x -17/32)) 3)) (fma.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 (pow.f64 x 4) 69/256) (-.f64 (.f64 (pow.f64 x 4) 289/1024) (.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 328509/16777216) (pow.f64 (.f64 -17/32 (.f64 x x)) 3)) (fma.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 69/256 (pow.f64 x 4)) (-.f64 (.f64 (pow.f64 x 4) 289/1024) (.f64 (pow.f64 x 4) (.f64 69/256 (.f64 -17/32 (.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 328509/16777216 (.f64 (pow.f64 x 6) -4913/32768)) (+.f64 (.f64 (pow.f64 x 4) (-.f64 289/1024 (.f64 -1173/8192 (.f64 x x)))) (*.f64 (pow.f64 x 8) 4761/65536)))
(/.f64 (fma.f64 (pow.f64 x 6) -4913/32768 (.f64 (pow.f64 (.f64 x x) 6) 328509/16777216)) (fma.f64 (pow.f64 x 4) (+.f64 289/1024 (.f64 1173/8192 (.f64 x x))) (*.f64 (pow.f64 x 8) 4761/65536)))
(/.f64 (fma.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 (pow.f64 x 4) 69/256) (neg.f64 (.f64 (pow.f64 x 4) 289/1024))) (-.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))
(/.f64 (fma.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 69/256 (pow.f64 x 4)) (.f64 (pow.f64 x 4) -289/1024)) (-.f64 (.f64 69/256 (pow.f64 x 4)) (.f64 -17/32 (.f64 x x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -289/1024) (.f64 (pow.f64 x 8) 4761/65536)) (fma.f64 69/256 (pow.f64 x 4) (.f64 (.f64 x x) 17/32)))
(/.f64 (fma.f64 (pow.f64 x 4) -289/1024 (.f64 (pow.f64 x 8) 4761/65536)) (fma.f64 x (.f64 x 17/32) (*.f64 69/256 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 4) -289/1024 (.f64 (pow.f64 x 8) 4761/65536)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) 69/256 17/32)))
(pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 1)
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 3)
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256))) 2)
(fma.f64 x (.f64 -17/32 x) (.f64 69/256 (pow.f64 x 4)))
(fma.f64 -17/32 (.f64 x x) (.f64 69/256 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 x (.f64 x -17/32) (.f64 (pow.f64 x 4) 69/256)) 3) 1/3)
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(cbrt.f64 (.f64 (pow.f64 (.f64 x -17/32) 3) (pow.f64 x 3)))
(.f64 -17/32 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x -17/32))))
(.f64 -17/32 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x -17/32))))
(.f64 -17/32 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x -17/32))))
(.f64 -17/32 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x -17/32))) 1))
(.f64 -17/32 (.f64 x x))

eval1.2s (9.5%)

Compiler: Compiled 39819 to 33881 computations (14.9% saved)

prune332.0ms (2.7%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	972	5	977
Fresh	2	7	9
Picked	1	0	1
Done	1	12	13
Total	976	24	1000

Error

Counts

1000 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	14.4b	(/.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 (/.f64 1/8 (+.f64 (.f64 x x) 1)) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	14.4b	(/.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (exp.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	14.4b	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	26.2b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
✓	14.4b	(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	54.7b	(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
✓	33.9b	(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
	34.1b	(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
✓	30.1b	(/.f64 1 (/.f64 8 (*.f64 x x)))
✓	14.9b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
	29.7b	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
	29.5b	(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
	29.8b	(/.f64 1 (+.f64 (.f64 (pow.f64 x -2) 8) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
	24.6b	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
✓	33.1b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
	34.3b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
	34.6b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	34.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	33.5b	(-.f64 1 (sqrt.f64 1/2))
	30.1b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
✓	30.0b	(*.f64 (/.f64 1 (/.f64 8 x)) x)
✓	30.0b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 432 to 364 computations (15.7% saved)

regimes181.0ms (1.5%)

Counts

34 → 2

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x -2) 8) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 (/.f64 1/8 (+.f64 (.f64 x x) 1)) (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))) (+.f64 1/8 (exp.f64 (.f64 3 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))

(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))

Calls

7 calls:

71.0ms	x
47.0ms	(hypot.f64 1 x)
23.0ms	(/.f64 1 (hypot.f64 1 x))
6.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
6.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 674 to 553 computations (18% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000093097102416	1.0361845549118076

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes146.0ms (1.2%)

Counts

30 → 2

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x -2) 8) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))

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

Calls

7 calls:

46.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
37.0ms	x
19.0ms	(/.f64 1 (hypot.f64 1 x))
15.0ms	(hypot.f64 1 x)
6.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 506 to 412 computations (18.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000093097102416	1.0361845549118076

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes124.0ms (1%)

Counts

28 → 2

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x -2) 8) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs

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

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

Calls

7 calls:

34.0ms	x
20.0ms	(/.f64 1 (hypot.f64 1 x))
9.0ms	(hypot.f64 1 x)
6.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
6.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.1b	3	`x`
0.1b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.1b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.1b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.1b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.1b	2	`(/.f64 1 (hypot.f64 1 x))`
0.1b	2	`(hypot.f64 1 x)`

Compiler

Compiled 456 to 370 computations (18.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999069115638477	0.9999932555896909

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes199.0ms (1.6%)

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (+.f64 (.f64 (pow.f64 x -2) 8) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 x 4)) (.f64 -121/16384 (pow.f64 x 8))) (+.f64 (.f64 1/8 (.f64 x x)) (*.f64 11/128 (pow.f64 x 4))))

Outputs

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Calls

7 calls:

64.0ms	x
46.0ms	(hypot.f64 1 x)
42.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
20.0ms	(/.f64 1 (hypot.f64 1 x))
6.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.1b	3	`x`
0.1b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.1b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.1b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.1b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.1b	2	`(/.f64 1 (hypot.f64 1 x))`
0.1b	2	`(hypot.f64 1 x)`

Compiler

Compiled 428 to 347 computations (18.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000067444557965	1.000093097102416

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes96.0ms (0.8%)

Counts

22 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

Outputs

(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))

Calls

7 calls:

27.0ms	x
15.0ms	(/.f64 1 (hypot.f64 1 x))
8.0ms	(hypot.f64 1 x)
5.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
5.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.3b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 327 to 262 computations (19.9% saved)

bsearch70.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	0.003672731555786767	0.013645617314820847
60.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 562 to 490 computations (12.8% saved)

regimes135.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (fma.f64 (pow.f64 x 4) 69/256 (.f64 x (*.f64 x -17/32))))))

Outputs

(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))

(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))

(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))

Calls

7 calls:

43.0ms	x
15.0ms	(/.f64 1 (hypot.f64 1 x))
15.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
8.0ms	(hypot.f64 1 x)
5.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.4b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 310 to 248 computations (20% saved)

bsearch68.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.3808036431876665e-5	0.003672731555786767
54.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

63.0ms

272×

body

256

valid

Compiler

Compiled 513 to 433 computations (15.6% saved)

regimes130.0ms (1.1%)

Counts

19 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs

(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))

(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))

Calls

7 calls:

38.0ms	x
33.0ms	(/.f64 1 (hypot.f64 1 x))
25.0ms	(hypot.f64 1 x)
7.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
4.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 274 to 220 computations (19.7% saved)

bsearch71.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	4.3808036431876665e-5	0.003672731555786767
20.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

66.0ms

272×

body

256

valid

Compiler

Compiled 513 to 433 computations (15.6% saved)

regimes92.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))

Calls

7 calls:

27.0ms	x
24.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
14.0ms	(/.f64 1 (hypot.f64 1 x))
8.0ms	(hypot.f64 1 x)
4.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 258 to 206 computations (20.2% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.3808036431876665e-5	0.003672731555786767
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 413 to 353 computations (14.5% saved)

regimes94.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Calls

7 calls:

24.0ms	x
23.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
15.0ms	(/.f64 1 (hypot.f64 1 x))
7.0ms	(hypot.f64 1 x)
4.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 244 to 193 computations (20.9% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.3808036431876665e-5	0.003672731555786767
43.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

52.0ms

272×

body

256

valid

Compiler

Compiled 385 to 325 computations (15.6% saved)

regimes39.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs

(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

(/.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 11/2 (+.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32))))))

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Calls

2 calls:

23.0ms	x
6.0ms	(hypot.f64 1 x)

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 174 to 133 computations (23.6% saved)

bsearch55.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.013645617314820847	0.2714377126299524
22.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

50.0ms

272×

body

256

valid

Compiler

Compiled 572 to 478 computations (16.4% saved)

regimes52.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))
(/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))

Outputs

(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

(/.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 11/2 (+.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32))))))

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

Calls

1 calls:

48.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 160 to 121 computations (24.4% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.2714377126299524	7.567446901446695
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 670 to 555 computations (17.2% saved)

regimes25.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32))))))

Outputs

(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

(/.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 11/2 (+.f64 (*.f64 (pow.f64 x 4) 69/256) (*.f64 x (*.f64 x -17/32))))))

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 136 to 102 computations (25% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.2714377126299524	7.567446901446695
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 614 to 513 computations (16.4% saved)

regimes30.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))

Outputs

(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))))

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 115 to 87 computations (24.3% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.2714377126299524	7.567446901446695
48.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

58.0ms

272×

body

256

valid

Compiler

Compiled 512 to 411 computations (19.7% saved)

regimes22.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 99 to 73 computations (26.3% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.2714377126299524	7.567446901446695
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 456 to 362 computations (20.6% saved)

regimes18.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.2714377126299524	7.567446901446695
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 442 to 355 computations (19.7% saved)

regimes17.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))
(-.f64 1 (sqrt.f64 1/2))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 65 to 42 computations (35.4% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.2714377126299524	7.567446901446695
23.0ms	-3790163518.0870123	-7.387682680102194e-7

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 408 to 321 computations (21.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32))))
(/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (.f64 -17/32 (*.f64 x x)))))

Outputs
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
24.6b	1	`x`

Compiler

Compiled 61 to 38 computations (37.7% saved)

regimes4.0ms (0%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 1/8 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 8 x)) x)
(/.f64 1 (/.f64 8 (*.f64 x x)))

Outputs
(.f64 1/8 (.f64 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
30.0b	1	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

39×	`+-commutative_binary64`
19×	`*-commutative_binary64`
19×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1114
1	205	1114
2	243	1114
3	269	1114
4	282	1114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 9006748894778255/9007199254740992) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(if (<=.f64 (hypot.f64 1 x) 4503824807351865/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -3242591731706757/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 7493989779944505/576460752303423488) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -5584463537939415/9007199254740992) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -1) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5476377146882523/144115188075855872) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/2) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -5/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5/2) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(.f64 1/8 (.f64 x x))

Outputs
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (+.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2296835809958953/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4))))) (/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 9006748894778255/9007199254740992) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 9006748894778255/9007199254740992) (/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 9006748894778255/9007199254740992) (/.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (+.f64 1 (.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(if (<=.f64 (hypot.f64 1 x) 4503824807351865/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 (hypot.f64 1 x) 4503824807351865/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -3242591731706757/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 7493989779944505/576460752303423488) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -3242591731706757/4503599627370496) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 7493989779944505/576460752303423488) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -5584463537939415/9007199254740992) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -5584463537939415/9007199254740992) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -1) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -1) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5534023222112865/2305843009213693952) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5476377146882523/144115188075855872) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5476377146882523/144115188075855872) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/4 (/.f64 -1/4 (.f64 x x)))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -2589569785738035/1125899906842624) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 7/4) (/.f64 1 (+.f64 (/.f64 8 (.f64 x x)) (+.f64 11/2 (+.f64 (.f64 (pow.f64 x 4) 69/256) (.f64 x (.f64 x -17/32)))))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 4165829655317709/2251799813685248) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/2) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -5/2) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5/2) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -5/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5/2) (/.f64 1 (+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 1 (+.f64 (/.f64 8 (*.f64 x x)) 11/2))
(.f64 1/8 (.f64 x x))

Compiler

Compiled 768 to 637 computations (17.1% saved)

soundness135.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

787×	`times-frac_binary64`
355×	`fma-neg_binary64`
342×	`sqr-pow_binary64`
218×	`exp-prod_binary64`
181×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	22	15
2	29	15
3	37	15
4	44	15
5	54	15
6	65	15
7	77	15
8	80	15
0	10	18
1	22	15
2	29	15
3	37	15
4	44	15
5	54	15
6	65	15
7	77	15
8	80	15
0	565	4535
1	1375	4316
2	4014	4292

Stop Event

1×	node limit
1×	saturated
1×	saturated

Compiler

Compiled 297 to 272 computations (8.4% saved)

end513.0ms (4.2%)

Compiler: Compiled 751 to 606 computations (19.3% saved)