Details

analyze8.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (51%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

preprocess33.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

598×	`fma-def_binary64`
423×	`distribute-rgt-in_binary64`
403×	`associate-/l*_binary64`
348×	`distribute-lft-in_binary64`
224×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	710	27
5	1695	25
6	2919	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (/.f64 -4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
423×	`distribute-rgt-in_binary64`
403×	`associate-/l*_binary64`
348×	`distribute-lft-in_binary64`
224×	`fma-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	710	27
5	1695	25
6	2919	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1 (.f64 v v))))
(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (/.f64 -4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 73 to 56 computations (23.3% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
✓	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))

series8.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
1.0ms	v	@	inf	(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
1.0ms	v	@	-inf	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
1.0ms	v	@	inf	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))

rewrite54.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`
193×	`log-pow_binary64`
137×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	294	46
2	3188	46

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -1/4)) (.f64 -1 (.f64 (sqrt.f64 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v)) (.f64 (.f64 (sqrt.f64 2) -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 -1/4 (fma.f64 v v -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -1/4 (fma.f64 v v -1)) 3) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -1/4) (.f64 -1 (.f64 (sqrt.f64 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (.f64 (.f64 (sqrt.f64 2) -1/4) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) (cbrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 v (.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 v (.f64 v -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (.f64 v (.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (.f64 (sqrt.f64 v) (sqrt.f64 (.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) (.f64 2 (.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) (.f64 -1/4 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))) 3) (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 v (.f64 v -3) 1) 3/2) (pow.f64 (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -1/4)) (*.f64 -1 (*.f64 (sqrt.f64 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 2) -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/4 (fma.f64 v v -1)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -1/4) (*.f64 -1 (*.f64 (sqrt.f64 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 2) -1/4) -1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (*.f64 -1/4 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))) 3) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))))))

simplify37.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
537×	`associate-l_binary64`
512×	`associate-r_binary64`
193×	`associate-+l+_binary64`
185×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1075
1	380	1023
2	1324	898

Stop Event

1×	node limit

Counts

104 → 117

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 27/16 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 2))))) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 -1/4 (*.f64 v v))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -1/4 (*.f64 v v))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (.f64 (.f64 v v) -3/2))
(fma.f64 (*.f64 v v) -3/2 1)
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (.f64 v v) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 (fma.f64 (.f64 v v) -3/2 1) (.f64 -9/8 (pow.f64 v 4)))
(fma.f64 v (*.f64 v -3/2) (fma.f64 -9/8 (pow.f64 v 4) 1))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (.f64 -9/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 (.f64 v v) -3/2 1) (fma.f64 -27/16 (pow.f64 v 6) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 v (.f64 v -3/2) (fma.f64 -9/8 (pow.f64 v 4) (.f64 -27/16 (pow.f64 v 6)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3))))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (neg.f64 v))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -3))) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))
(fma.f64 (neg.f64 v) (sqrt.f64 -3) (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (/.f64 -1/2 (.f64 v (sqrt.f64 -3))) (.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 (neg.f64 v) (sqrt.f64 -3) (/.f64 -1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (/.f64 -1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 -1/24 (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))) (/.f64 -1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (.f64 1/4 (sqrt.f64 2)))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 (sqrt.f64 2) 5/2)) (.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4)))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) -3/8)))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 (sqrt.f64 2) 5/2)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (pow.f64 v 4) (.f64 -1/4 (.f64 (sqrt.f64 2) -3/8)))))
(fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -5/8))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 27/16 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 2))))) (.f64 -1/4 (.f64 (+.f64 (.f64 -3/2 (sqrt.f64 2)) (.f64 9/8 (sqrt.f64 2))) (pow.f64 v 4))))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 5/2 (sqrt.f64 2))) (fma.f64 1/4 (sqrt.f64 2) (.f64 -1/4 (+.f64 (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) 9/16)) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) -3/8))))))
(fma.f64 -1/4 (.f64 (.f64 v v) (.f64 (sqrt.f64 2) 5/2)) (fma.f64 -1/4 (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) 9/16) (.f64 (sqrt.f64 2) (.f64 -3/8 (pow.f64 v 4)))) (*.f64 1/4 (sqrt.f64 2))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3/8 (pow.f64 v 4)) (.f64 9/16 (pow.f64 v 6)))) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -5/8))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 (.f64 (*.f64 (sqrt.f64 2) -1/4) (pow.f64 v 3)) (sqrt.f64 -3))
(.f64 (sqrt.f64 -3) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) -1/4)))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(.f64 -1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(.f64 -1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (+.f64 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(.f64 -1/4 (+.f64 (+.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(.f64 -1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (.f64 -1/4 (+.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(.f64 -1/4 (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (fma.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 2) 1/16) (pow.f64 (sqrt.f64 -3) 5))) (pow.f64 v 3))) (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 (.f64 (*.f64 1/4 (sqrt.f64 2)) (pow.f64 v 3)) (sqrt.f64 -3))
(.f64 (sqrt.f64 2) (.f64 (*.f64 1/4 (pow.f64 v 3)) (sqrt.f64 -3)))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(.f64 1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(.f64 1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))
(.f64 1/4 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))))
(+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2)) v) (.f64 1/4 (+.f64 (.f64 v (fma.f64 -1 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))))
(fma.f64 1/4 (/.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -1/2 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(.f64 1/4 (+.f64 (fma.f64 v (-.f64 (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))) (/.f64 (fma.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 2) 1/16) (pow.f64 (sqrt.f64 -3) 5))) (pow.f64 v 3))))

prune142.0ms (6.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
	0.0b	(expm1.f64 (log1p.f64 (.f64 (.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 2)))))

Status

Error

Program

▶

0.0b

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))

0.0b

(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/4 (fma.f64 v v -1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 2)))))

Compiler

Compiled 3025 to 2527 computations (16.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓	0.0b	(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
✓	0.3b	(*.f64 (sqrt.f64 2) (pow.f64 v 2))

series5.0ms (0.2%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
1.0ms	v	@	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
1.0ms	v	@	0	(*.f64 (sqrt.f64 2) (pow.f64 v 2))
1.0ms	v	@	-inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
1.0ms	v	@	inf	(*.f64 (sqrt.f64 2) (pow.f64 v 2))

rewrite66.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`
168×	`add-sqr-sqrt_binary64`
160×	`pow1_binary64`
159×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	358	51
2	4318	51

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (pow.f64 v 2))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))

Inputs

(*.f64 (sqrt.f64 2) (pow.f64 v 2))

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 v v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 v v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 v v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 v v) 3) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 v v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (*.f64 v v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) 1) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) 3) (pow.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8))) (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4)))) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8))) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))))) (-.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (sqrt.f64 1/8) 1/8) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 v v)) 3) -1/64)) (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) (-.f64 (+.f64 1/8 (.f64 1/16 (.f64 2 (pow.f64 v 4)))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 2) -1/4)) (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/8 (.f64 1/16 (.f64 2 (pow.f64 v 4)))) (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) (-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 2) (.f64 (.f64 v v) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 (sqrt.f64 1/8) 1/8) (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 v v)) 3) -1/64))) (-.f64 (+.f64 1/8 (.f64 1/16 (.f64 2 (pow.f64 v 4)))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 2) -1/4)) (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1/8 (.f64 1/16 (.f64 2 (pow.f64 v 4))))) (-.f64 (sqrt.f64 1/8) (.f64 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Outputs

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(sqrt.f64 (*.f64 (sqrt.f64 2) -1/4)) v) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (cbrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v) (sqrt.f64 1/8))))))

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
550×	`fma-neg_binary64`
393×	`associate-l_binary64`
385×	`associate-r_binary64`
280×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	622
1	286	604
2	1064	545
3	4976	545

Stop Event

1×	node limit

Counts

96 → 106

Calls

Call 1

Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2)))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 -3/8 (sqrt.f64 2))))))
(+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/64 (sqrt.f64 2)) (.f64 9/32 (sqrt.f64 2)))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2)))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(*.f64 1/4 (sqrt.f64 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))

Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2)))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 -3/8 (sqrt.f64 2))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (.f64 3/32 (pow.f64 v 4)))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 v v) -5/8) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 4) 3/32))))
(+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/64 (sqrt.f64 2)) (.f64 9/32 (sqrt.f64 2)))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/32 (sqrt.f64 2)))) (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/8 (sqrt.f64 2)))))))
(fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))))
(fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/8) (.f64 (sqrt.f64 2) (*.f64 3/32 (pow.f64 v 4))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/8) (.f64 (pow.f64 v 4) 3/32))) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (pow.f64 v 6) -9/64))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 -1/4 (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 -1/4 (sqrt.f64 -3))))
(+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8)))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/32 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (/.f64 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8))))) (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/8 (sqrt.f64 -3)) (/.f64 -1/96 (sqrt.f64 -3)))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(fma.f64 1/32 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))))
(+.f64 (/.f64 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3))) (+.f64 (/.f64 (.f64 1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (pow.f64 v 3)) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))))))))
(fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8))) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 1/96 (sqrt.f64 -3)) (/.f64 -1/64 (pow.f64 (sqrt.f64 -3) 5))))) (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/8 (sqrt.f64 -3)) (/.f64 -1/96 (sqrt.f64 -3))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))
(.f64 1/4 (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 1/4 (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1 (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))
(-.f64 (.f64 1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -3)))) (.f64 v (fma.f64 (sqrt.f64 2) (*.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8)))))
(+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1 (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1 (/.f64 (fma.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/8)) v) (.f64 1/4 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3)))))
(-.f64 (-.f64 (.f64 1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/8 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -3)))) (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/96) v)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 -1/32 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) (pow.f64 v 3)) (fma.f64 -1 (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1 (/.f64 (fma.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/8)) v) (.f64 1/4 (.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (sqrt.f64 -3))))))
(-.f64 (-.f64 (-.f64 (.f64 1/4 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 2) (pow.f64 v 3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/8 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 v (fma.f64 1/4 (.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (/.f64 (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 1/4 (sqrt.f64 -3)))) (fma.f64 v (fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/8))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/96) v))) (/.f64 (fma.f64 1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 -1/64 (/.f64 (pow.f64 (sqrt.f64 -3) 5) (sqrt.f64 2)))) (pow.f64 v 3)))
(*.f64 1/4 (sqrt.f64 2))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4))
(.f64 (sqrt.f64 2) (.f64 v (*.f64 v -1/4)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -1/4))
(.f64 (sqrt.f64 2) (.f64 v (*.f64 v -1/4)))

prune196.0ms (8.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	1	158

Error

Counts

158 → 1

Alt Table

Status	Error	Program
▶	0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))

Compiler

Compiled 4473 to 3724 computations (16.7% saved)

localize17.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))
✓	0.0b	(expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8))))
✓	0.0b	(fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8))

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))
1.0ms	v	@	inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))
1.0ms	v	@	0	(fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8))
1.0ms	v	@	-inf	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))
1.0ms	v	@	inf	(fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8))

rewrite55.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
198×	`log-pow_binary64`
167×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	336	48
2	3545	48

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

(fma.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v) (sqrt.f64 1/8))

(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v) (sqrt.f64 1/8))))

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (*.f64 (sqrt.f64 2) -1/4) (*.f64 v v) (sqrt.f64 1/8)))))

Outputs

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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) (cbrt.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)))) (cbrt.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (hypot.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) v))) (hypot.f64 1 (hypot.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) (sqrt.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v))) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 1/8 1/4) v) (*.f64 (pow.f64 1/8 1/4) v) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) v) v (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (cbrt.f64 (pow.f64 v 4))) (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 1/8) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) v)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) (pow.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8))) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) 3) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) (pow.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3)) (log.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3)) (log.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 v v) (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))

simplify49.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-def_binary64`
420×	`fma-neg_binary64`
307×	`associate-l_binary64`
299×	`associate-r_binary64`
281×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	922
1	276	904
2	970	894
3	4576	894

Stop Event

1×	node limit

Counts

148 → 108

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(sqrt.f64 1/8)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/32 (sqrt.f64 2))) (pow.f64 v 6)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))

Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(sqrt.f64 1/8)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v v)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (pow.f64 v 2))) (sqrt.f64 1/8))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v v)) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 2) (.f64 v (.f64 v -1/4)) (sqrt.f64 1/8))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (.f64 v v) (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2)) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (.f64 v v) (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2)) (fma.f64 (pow.f64 v 4) (fma.f64 3/8 (sqrt.f64 2) (*.f64 (sqrt.f64 1/8) -9/8)) (sqrt.f64 1/8)))
(fma.f64 (.f64 v v) (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2)) (fma.f64 (pow.f64 v 4) (fma.f64 (sqrt.f64 1/8) -9/8 (*.f64 (sqrt.f64 2) 3/8)) (sqrt.f64 1/8)))
(fma.f64 v (.f64 v (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2))) (fma.f64 (pow.f64 v 4) (fma.f64 (sqrt.f64 2) 3/8 (*.f64 (sqrt.f64 1/8) -9/8)) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/32 (sqrt.f64 2))) (pow.f64 v 6)) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/8 (sqrt.f64 2)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (.f64 v v) (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2)) (fma.f64 (fma.f64 -27/16 (sqrt.f64 1/8) (.f64 (sqrt.f64 2) 9/32)) (pow.f64 v 6) (fma.f64 (pow.f64 v 4) (fma.f64 3/8 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -9/8)) (sqrt.f64 1/8))))
(fma.f64 (.f64 v v) (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2)) (fma.f64 (fma.f64 (sqrt.f64 1/8) -27/16 (.f64 (sqrt.f64 2) 9/32)) (pow.f64 v 6) (fma.f64 (pow.f64 v 4) (fma.f64 (sqrt.f64 1/8) -9/8 (.f64 (sqrt.f64 2) 3/8)) (sqrt.f64 1/8))))
(fma.f64 v (.f64 v (fma.f64 -1/4 (sqrt.f64 2) (.f64 (sqrt.f64 1/8) -3/2))) (fma.f64 (pow.f64 v 4) (fma.f64 (sqrt.f64 2) 3/8 (.f64 (sqrt.f64 1/8) -9/8)) (fma.f64 (fma.f64 (sqrt.f64 1/8) -27/16 (.f64 (sqrt.f64 2) 9/32)) (pow.f64 v 6) (sqrt.f64 1/8))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 -1/4 (sqrt.f64 -3))))
(+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3))) v (.f64 (.f64 -1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3)))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2)))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/32 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3))) v (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (/.f64 (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3))) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v)))))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2))) (fma.f64 (/.f64 -1/96 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) v) (fma.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 -1/4 (sqrt.f64 -3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 1/32 (/.f64 (sqrt.f64 2) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 1/32 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3))) v (fma.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))))) (/.f64 (*.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v)))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2))) (fma.f64 (/.f64 -1/96 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) v) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) 1/4))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) 1/4)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3)))) (.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) 1/4 (.f64 (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3))) (neg.f64 v)))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) 1/4))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3)))) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (.f64 1/32 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) v) (.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) 1/4)) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) 1/4))) (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (*.f64 (/.f64 -1/96 (sqrt.f64 -3)) (sqrt.f64 2))) v)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/8 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (.f64 1/32 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 -1/8 (sqrt.f64 1/8)) (pow.f64 (sqrt.f64 -3) 3))) (pow.f64 v 3)) (fma.f64 -1 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (.f64 -1/8 (sqrt.f64 2)) (sqrt.f64 -3)))) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (.f64 1/32 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 3))) v) (.f64 (.f64 1/4 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(-.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) 1/4)) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 -1/96 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 2) -1/8) (sqrt.f64 -3))))) (/.f64 (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3)))
(-.f64 (-.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) 1/4))) (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 (/.f64 -1/8 (sqrt.f64 -3)) (sqrt.f64 2))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (*.f64 (/.f64 -1/96 (sqrt.f64 -3)) (sqrt.f64 2))) v))) (/.f64 (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 1/8) 24) (sqrt.f64 -3))) (pow.f64 v 3)))

prune146.0ms (6.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	1	159

Error

Counts

159 → 1

Alt Table

Status	Error	Program
✓	0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))

Compiler

Compiled 4173 to 3333 computations (20.1% saved)

regimes120.0ms (5.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

79 → 1

Compiler

Compiled 1464 to 1120 computations (23.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	23	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))

Outputs
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 2) -1/4) (.f64 v v) (sqrt.f64 1/8)))))

end57.0ms (2.6%)

Stop Event

1×

done

Compiler

Compiled 63 to 51 computations (19% saved)

Details

analyze8.0ms (0.4%)

sample1.1s (51%)

preprocess33.0ms (1.5%)

simplify23.0ms (1%)

prune3.0ms (0.1%)

localize12.0ms (0.5%)

series8.0ms (0.4%)

rewrite54.0ms (2.4%)

simplify37.0ms (1.6%)

prune142.0ms (6.4%)

localize15.0ms (0.7%)

series5.0ms (0.2%)

rewrite66.0ms (3%)

simplify40.0ms (1.8%)

prune196.0ms (8.8%)

localize17.0ms (0.8%)

series5.0ms (0.2%)

rewrite55.0ms (2.5%)

simplify49.0ms (2.2%)

prune146.0ms (6.5%)

regimes120.0ms (5.4%)

simplify2.0ms (0.1%)

end57.0ms (2.6%)

Profiling