Details

analyze6.0ms (0.3%)

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)

sample982.0ms (47%)

Results

971.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

preprocess31.0ms (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)

simplify22.0ms (1.1%)

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))))

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
	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 113 to 86 computations (23.9% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.2b	(.f64 3 (.f64 v v))

series8.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

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

rewrite68.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`prod-diff_binary64`
158×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`
149×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	331	58
2	4103	58

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 3 (.f64 v v)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3 (.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3 (.f64 v v))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (neg.f64 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 3/2) (.f64 (sqrt.f64 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3)))) (-.f64 1 (pow.f64 v 6))) (.f64 4 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3)))) (-.f64 1 (pow.f64 v 4))) (.f64 4 (+.f64 (.f64 v v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))) (.f64 (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))) (.f64 (+.f64 (.f64 v v) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (-.f64 1 (.f64 v v)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3)))) (-.f64 1 (.f64 v v))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))) (+.f64 (.f64 v v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (+.f64 1 (.f64 (.f64 v v) -3))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) 3) (pow.f64 (-.f64 1 (.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/4) (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 27 (pow.f64 v 6)))) (sqrt.f64 (+.f64 (+.f64 1 (.f64 9 (pow.f64 v 4))) (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 9 (pow.f64 v 4)))) (sqrt.f64 (+.f64 (.f64 3 (.f64 v v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (*.f64 v v) -3))) 1))))))

simplify39.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-l_binary64`
574×	`associate-r_binary64`
354×	`associate-/r*_binary64`
228×	`fma-def_binary64`
215×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1365
1	507	1329
2	1756	1237

Stop Event

1×	node limit

Counts

138 → 159

Calls

Call 1

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

Outputs
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(.f64 v (.f64 v 3))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -3/8 (*.f64 v v)) 1/4))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -3/8))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (.f64 (sqrt.f64 2) (+.f64 (.f64 -3/8 (.f64 v v)) 1/4)))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6)) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v (.f64 v (sqrt.f64 2))) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -3/8 (.f64 v v)) (.f64 -27/64 (pow.f64 v 6)))) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 -9/32 (pow.f64 v 4)))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 1/4 (.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(.f64 v (.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 1/8 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) v)))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 -1/32 (*.f64 (sqrt.f64 -3) -3)) (/.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 -1/32 (*.f64 (sqrt.f64 -3) -3)) (/.f64 (sqrt.f64 2) (pow.f64 v 3))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) -1/4)
(.f64 (.f64 v (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) -1/4))
(.f64 v (.f64 -1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/4))
(fma.f64 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (/.f64 (.f64 (sqrt.f64 2) 1/32) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3))))))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32))))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) -1/64 (fma.f64 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (/.f64 (.f64 (sqrt.f64 2) 1/32) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))))))
(fma.f64 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) -1/8 (fma.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) -1/64 (fma.f64 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) -1/4 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -3))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 v (.f64 v (.f64 (sqrt.f64 2) -5/2)))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2)))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8) (.f64 v (.f64 v (*.f64 (sqrt.f64 2) -5/2))))))
(.f64 1/4 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (.f64 v v)) (*.f64 3/8 (pow.f64 v 4)))) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 1/4 (+.f64 (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2)) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/16))))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 1/4 (+.f64 (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8) (.f64 v (.f64 v (.f64 (sqrt.f64 2) -5/2)))) (.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 -5/2 (.f64 v v)) (.f64 3/8 (pow.f64 v 4)))) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) -1/4)))
(+.f64 (.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 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2)))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (.f64 (pow.f64 v 3) -1/4))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.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 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.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 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2)))) (fma.f64 1/4 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) -1/4)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.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 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (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 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.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 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (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 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)))))
(+.f64 (.f64 1/4 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2)))) (+.f64 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) -1/4))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(+.f64 (.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 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(fma.f64 (.f64 v -1/4) (fma.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 (sqrt.f64 -3) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.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 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.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 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2)))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.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 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (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 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.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 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (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 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(+.f64 (.f64 -1/4 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 -3) -1/2)))) (+.f64 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
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 (pow.f64 v 4) -9/8)))
(+.f64 1 (fma.f64 (.f64 v v) -3/2 (.f64 (pow.f64 v 4) -9/8)))
(+.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 (pow.f64 v 4) -9/8))))
(+.f64 (fma.f64 (.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (.f64 (pow.f64 v 6) -27/16)))
(+.f64 1 (fma.f64 (.f64 v v) -3/2 (fma.f64 (pow.f64 v 4) -9/8 (.f64 (pow.f64 v 6) -27/16))))
(*.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 1/2 (*.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 v (sqrt.f64 -3)) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (.f64 v (sqrt.f64 -3)))) (/.f64 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3)))
(+.f64 (/.f64 1/2 (.f64 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 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3))))
(+.f64 (/.f64 1/2 (.f64 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 1/24 (*.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))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.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 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3)) (neg.f64 (fma.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 1/2 (.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 (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 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3)) (.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 (/.f64 1/16 (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 1/2 (.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))

prune265.0ms (12.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	158	3	161

Error

Counts

161 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
	1.0b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8))) 2) (-.f64 1 (*.f64 v v)))

Status

Error

Program

✓

0.0b

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

▶

0.0b

(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

1.0b

(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8))) 2) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 4122 to 3213 computations (22.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
✓	0.0b	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
✓	0.2b	(.f64 (.f64 v v) -3)

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	inf	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
1.0ms	v	@	0	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
1.0ms	v	@	-inf	(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

rewrite55.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`prod-diff_binary64`
397×	`fma-def_binary64`
209×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`
127×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	259	42
2	3240	42

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(.f64 (.f64 v v) -3)
(sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))
(.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 v v) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 v v) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (.f64 v -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 v (.f64 v -3) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 2) (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -27 (pow.f64 v 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 v 4) 9 (.f64 3 (.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 (pow.f64 v 4) 9)) (/.f64 1 (+.f64 1 (.f64 3 (.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -4)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/8) (hypot.f64 1 (.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2)) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2) 1/2) (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 3/2) (pow.f64 (-.f64 1 (.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) 1 (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) 1 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2)) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2)) (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2)) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2) 1/2) (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 1/2) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 2) 1/2) (pow.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/2) 1/2) (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (log1p.f64 (.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 1/2 (log.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (log1p.f64 (.f64 v (neg.f64 v)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 v v) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 v v) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 v (*.f64 v -3) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -27 (pow.f64 v 6) 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 v 4) 9 (*.f64 3 (*.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9)) (/.f64 1 (+.f64 1 (*.f64 3 (*.f64 v v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -4)) 1))))))

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

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

simplify34.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

385×	`associate-l_binary64`
357×	`associate-r_binary64`
343×	`associate-+l+_binary64`
290×	`associate-+r+_binary64`
278×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1015
1	387	988
2	1359	929

Stop Event

1×	node limit

Counts

122 → 133

Calls

Call 1

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

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

prune186.0ms (8.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Error

Counts

136 → 3

Alt Table

Status

Error

Program

▶

1.0b

(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (*.f64 v v)))

✓

0.0b

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

✓

0.0b

(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 3383 to 2635 computations (22.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (.f64 v v)))
✓	1.0b	(pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)

series10.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)
3.0ms	v	@	0	(pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)
1.0ms	v	@	-inf	(pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)
1.0ms	v	@	inf	(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (.f64 v v)))
1.0ms	v	@	0	(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (.f64 v v)))

rewrite55.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
190×	`fma-def_binary64`
156×	`prod-diff_binary64`
149×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	322	35
2	3602	35

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2)
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (.f64 v v)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 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simplify39.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-def_binary64`
378×	`associate-l_binary64`
374×	`times-frac_binary64`
345×	`associate-/r*_binary64`
182×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1236
1	494	1165
2	1612	971

Stop Event

1×	node limit

Counts

110 → 130

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/16 (sqrt.f64 1/8)))) (+.f64 (.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 81/64 (sqrt.f64 1/8)) (.f64 -189/64 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/16 (sqrt.f64 1/8)))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))
(+.f64 (.f64 -7/1728 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (.f64 1/576 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))))
(+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))
(+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (+.f64 (.f64 -7/1728 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (+.f64 (.f64 1/576 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))) (.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))) (.f64 27/8192 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 5))))) (+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))) (*.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))))) (sqrt.f64 1/8))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -3/8)))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (.f64 1/512 (/.f64 1 (.f64 v (pow.f64 (sqrt.f64 -3/8) 3)))))))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -3/8)))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/8192 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 5)))) (pow.f64 v 3))) (.f64 1/512 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -3/8) 3))))))))
(*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))) v)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))) v)) (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 5)))) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))))

Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))
(.f64 (fma.f64 -3/2 (.f64 v v) 1) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/16 (sqrt.f64 1/8)))) (+.f64 (.f64 -3/2 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) -9/8) (fma.f64 -3/2 (.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8)))
(fma.f64 (fma.f64 -3/2 (.f64 v v) 1) (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 81/64 (sqrt.f64 1/8)) (.f64 -189/64 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (.f64 9/16 (sqrt.f64 1/8)))) (+.f64 (.f64 -3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/8) -27/16) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) -9/8) (fma.f64 -3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))))
(fma.f64 (.f64 (sqrt.f64 1/8) -27/16) (pow.f64 v 6) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) -9/8) (fma.f64 -3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 1/8) (.f64 -9/8 (pow.f64 v 4)) (.f64 (sqrt.f64 1/8) (+.f64 (fma.f64 -3/2 (.f64 v v) 1) (.f64 (pow.f64 v 6) -27/16))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2)
(pow.f64 (*.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 v v))))
(fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (*.f64 v v)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2))
(fma.f64 -1/6 (/.f64 (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (.f64 v v)) (pow.f64 (*.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))
(fma.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 v v)) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) 1/144))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) 1/144 (.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 v v)))) (fma.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2)))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (.f64 v v)) (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2)) (.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (pow.f64 v 4)) -1/72))
(+.f64 (.f64 -7/1728 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (.f64 1/576 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))))))))
(fma.f64 -7/1728 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) (fma.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 v v)) (fma.f64 1/144 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) 1/576))))))
(fma.f64 -7/1728 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (.f64 v v)) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) 1/144 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) 1/576))) (fma.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 v)) (log.f64 -3/8))) 2))))
(fma.f64 -7/1728 (/.f64 (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (pow.f64 v 6)) (+.f64 (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (.f64 v v)) (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2)) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2) (pow.f64 v 4)) -1/72)) (.f64 (/.f64 1/576 (pow.f64 v 6)) (pow.f64 (.f64 (pow.f64 -3/8 1/4) (pow.f64 (/.f64 1 v) -1/2)) 2))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 v v))))
(fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (*.f64 v v)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2))
(fma.f64 -1/6 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (.f64 v v)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2))
(+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))
(fma.f64 1/144 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 v v)) (.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4))))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 v v)) (.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)))) (fma.f64 1/144 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2)))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (.f64 v v)) (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2)) (.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (pow.f64 v 4)) -1/72))
(+.f64 (.f64 1/144 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 2))) (+.f64 (.f64 -7/1728 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (+.f64 (.f64 1/576 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 6))) (.f64 -1/48 (/.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 v))) (log.f64 -3/8)))) 2) (pow.f64 v 4))))))))
(fma.f64 1/144 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 v v)) (fma.f64 -7/1728 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) (fma.f64 1/576 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) (.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4))))))))
(fma.f64 1/144 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4)) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (.f64 v v)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2)) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 4))) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3/8))) 2) (pow.f64 v 6)) -1/432))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (pow.f64 v 6)) -1/432 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (.f64 v v)) (+.f64 -1/6 (/.f64 (/.f64 -1/48 v) v)))) (fma.f64 1/144 (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2) (pow.f64 v 4)) (pow.f64 (.f64 (pow.f64 (/.f64 -1 v) -1/2) (pow.f64 -3/8 1/4)) 2)))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (sqrt.f64 1/8))
(fma.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/8)) (/.f64 3/16 (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/8) -1 (/.f64 -3/16 (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 (*.f64 v v) (-.f64 (/.f64 -3/16 (sqrt.f64 1/8)) (sqrt.f64 1/8)) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))) (.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))))) (sqrt.f64 1/8)))
(fma.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/8)) (/.f64 3/16 (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (-.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 9/512 (pow.f64 (sqrt.f64 1/8) 3))) (sqrt.f64 1/8)))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/8) -1 (/.f64 -3/16 (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (-.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 9/64 (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(fma.f64 v (*.f64 v (-.f64 (/.f64 -3/16 (sqrt.f64 1/8)) (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 -9/64 (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 6) (-.f64 (.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))) (.f64 27/8192 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 5))))) (+.f64 (.f64 (pow.f64 v 2) (-.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))))) (+.f64 (.f64 (pow.f64 v 4) (-.f64 (.f64 3/16 (/.f64 1 (sqrt.f64 1/8))) (*.f64 9/512 (/.f64 1 (pow.f64 (sqrt.f64 1/8) 3))))) (sqrt.f64 1/8))))
(fma.f64 (pow.f64 v 6) (-.f64 (/.f64 9/512 (pow.f64 (sqrt.f64 1/8) 3)) (/.f64 27/8192 (pow.f64 (sqrt.f64 1/8) 5))) (fma.f64 (*.f64 v v) (-.f64 (neg.f64 (sqrt.f64 1/8)) (/.f64 3/16 (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (-.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 9/512 (pow.f64 (sqrt.f64 1/8) 3))) (sqrt.f64 1/8))))
(fma.f64 (pow.f64 v 6) (+.f64 (/.f64 9/64 (sqrt.f64 1/8)) (/.f64 -27/8192 (pow.f64 (sqrt.f64 1/8) 5))) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/8) -1 (/.f64 -3/16 (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (-.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 9/64 (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(fma.f64 (pow.f64 v 6) (+.f64 (/.f64 9/64 (sqrt.f64 1/8)) (/.f64 -27/8192 (pow.f64 (sqrt.f64 1/8) 5))) (fma.f64 v (*.f64 v (-.f64 (/.f64 -3/16 (sqrt.f64 1/8)) (sqrt.f64 1/8))) (fma.f64 (pow.f64 v 4) (+.f64 (/.f64 3/16 (sqrt.f64 1/8)) (/.f64 -9/64 (sqrt.f64 1/8))) (sqrt.f64 1/8))))
(.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(neg.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(*.f64 (sqrt.f64 -3/8) (neg.f64 (pow.f64 v 3)))
(*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3/8)))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(fma.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8))) (neg.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (*.f64 (sqrt.f64 -3/8) (neg.f64 (pow.f64 v 3))))
(fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3/8))))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -3/8)))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (.f64 1/512 (/.f64 1 (.f64 v (pow.f64 (sqrt.f64 -3/8) 3)))))))
(fma.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8))) (+.f64 (/.f64 1/16 (.f64 v (sqrt.f64 -3/8))) (fma.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)) (/.f64 1/512 (*.f64 v (pow.f64 (sqrt.f64 -3/8) 3))))))
(fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (+.f64 (/.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) v) (-.f64 (/.f64 (/.f64 1/16 v) (sqrt.f64 -3/8)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) v) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (/.f64 (/.f64 1/16 v) (sqrt.f64 -3/8))))
(+.f64 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 v (sqrt.f64 -3/8)))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/8192 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 5)))) (pow.f64 v 3))) (.f64 1/512 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -3/8) 3))))))))
(fma.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8))) (+.f64 (/.f64 1/16 (.f64 v (sqrt.f64 -3/8))) (fma.f64 -1 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/512 (pow.f64 (sqrt.f64 -3/8) 3)) (/.f64 1/8192 (pow.f64 (sqrt.f64 -3/8) 5))) (pow.f64 v 3)) (/.f64 1/512 (*.f64 v (pow.f64 (sqrt.f64 -3/8) 3)))))))
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) v) (/.f64 (+.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) (/.f64 1/8192 (pow.f64 (sqrt.f64 -3/8) 5))) (pow.f64 v 3))) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))) (fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (/.f64 (/.f64 1/16 v) (sqrt.f64 -3/8))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) v) (fma.f64 (pow.f64 v 3) (sqrt.f64 -3/8) (/.f64 (+.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) (/.f64 1/8192 (pow.f64 (sqrt.f64 -3/8) 5))) (pow.f64 v 3)))) (fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (/.f64 (/.f64 1/16 v) (sqrt.f64 -3/8))))
(*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(fma.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8)))) (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(fma.f64 (neg.f64 v) (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))
(.f64 v (-.f64 (.f64 (sqrt.f64 -3/8) (*.f64 v v)) (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8)))))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))) v)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(fma.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (sqrt.f64 -3/8)) (/.f64 1/512 (pow.f64 (sqrt.f64 -3/8) 3))) v) (.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))
(-.f64 (-.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)) (/.f64 (+.f64 (/.f64 1/16 (sqrt.f64 -3/8)) (/.f64 -1/192 (sqrt.f64 -3/8))) v)) (.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8)))))
(-.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8)) (fma.f64 v (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (/.f64 (+.f64 (/.f64 1/16 (sqrt.f64 -3/8)) (/.f64 -1/192 (sqrt.f64 -3/8))) v)))
(+.f64 (.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))))) (+.f64 (.f64 1/512 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/512 (/.f64 1 (pow.f64 (sqrt.f64 -3/8) 3))) (.f64 1/16 (/.f64 1 (sqrt.f64 -3/8)))) v)) (+.f64 (.f64 1/8192 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 5)))) (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8))))))
(fma.f64 -1 (.f64 v (-.f64 (sqrt.f64 -3/8) (/.f64 1/16 (sqrt.f64 -3/8)))) (+.f64 (/.f64 1/512 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 3))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (sqrt.f64 -3/8)) (/.f64 1/512 (pow.f64 (sqrt.f64 -3/8) 3))) v) (+.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3/8)) (/.f64 1/8192 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3/8) 5)))))))
(+.f64 (-.f64 (fma.f64 (pow.f64 v 3) (sqrt.f64 -3/8) (/.f64 (/.f64 1/8192 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3/8) 5))) (/.f64 (+.f64 (/.f64 1/16 (sqrt.f64 -3/8)) (/.f64 -1/192 (sqrt.f64 -3/8))) v)) (fma.f64 (neg.f64 v) (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (/.f64 (/.f64 -1/192 (sqrt.f64 -3/8)) (pow.f64 v 3))))
(+.f64 (+.f64 (fma.f64 (+.f64 (sqrt.f64 -3/8) (/.f64 -1/16 (sqrt.f64 -3/8))) (neg.f64 v) (/.f64 -1/192 (*.f64 (pow.f64 v 3) (sqrt.f64 -3/8)))) (fma.f64 (pow.f64 v 3) (sqrt.f64 -3/8) (/.f64 (/.f64 1/8192 (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3/8) 5)))) (/.f64 (+.f64 (/.f64 -1/16 (sqrt.f64 -3/8)) (/.f64 1/192 (sqrt.f64 -3/8))) v))

prune136.0ms (6.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Error

Counts

133 → 3

Alt Table

Status

Error

Program

✓

1.0b

(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) 2) (-.f64 1 (*.f64 v v)))

✓

0.0b

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

✓

0.0b

(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)) 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 4132 to 3233 computations (21.8% saved)

regimes29.0ms (1.4%)

Accuracy

Total -1.0b remaining (-12877.4%)

Threshold costs -1.0b (-12877.4%)

Counts

20 → 1

Compiler

Compiled 365 to 269 computations (26.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	22	22
2	29	22
3	33	22
4	35	22

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))

Outputs
(.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v -3) 1) 1/8)) (-.f64 1 (.f64 v v)))

end85.0ms (4%)

Stop Event

1×

done

Compiler

Compiled 85 to 60 computations (29.4% saved)

Details

analyze6.0ms (0.3%)

sample982.0ms (47%)

preprocess31.0ms (1.5%)

simplify22.0ms (1.1%)

prune4.0ms (0.2%)

localize10.0ms (0.5%)

series8.0ms (0.4%)

rewrite68.0ms (3.3%)

simplify39.0ms (1.9%)

prune265.0ms (12.7%)

localize8.0ms (0.4%)

series5.0ms (0.2%)

rewrite55.0ms (2.6%)

simplify34.0ms (1.6%)

prune186.0ms (8.9%)

localize10.0ms (0.5%)

series10.0ms (0.5%)

rewrite55.0ms (2.6%)

simplify39.0ms (1.9%)

prune136.0ms (6.5%)

regimes29.0ms (1.4%)

simplify2.0ms (0.1%)

end85.0ms (4%)

Profiling