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)

sample992.0ms (51.4%)

Results

980.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

preprocess32.0ms (1.6%)

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 (1.2%)

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)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

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

rewrite57.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	294	54
2	3188	54

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-def_binary64`
543×	`associate-l_binary64`
516×	`associate-r_binary64`
194×	`associate-+l+_binary64`
186×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1180
1	384	1110
2	1332	985

Stop Event

1×	node limit

Counts

147 → 152

Calls

Call 1

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

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

prune228.0ms (11.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	3	154

Error

Counts

154 → 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)))
	0.3b	(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))

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)))

0.3b

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

✓

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 3862 to 3184 computations (17.6% 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 (sqrt.f64 2) 4) (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)))
✓	0.1b	(.f64 3 (.f64 v v))

series9.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(.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 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(.f64 3 (.f64 v v))
1.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))

rewrite66.0ms (3.4%)

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 (/.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) (sqrt.f64 (-.f64 1 (.f64 3 (*.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 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 log1p.f64 (expm1.f64 (.f64 3 (.f64 v v))))))))
((#(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 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 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 -.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 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 log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8))))))))
((#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (.f64 (*.f64 v v) -3)))))))))

simplify42.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-l_binary64`
572×	`associate-r_binary64`
356×	`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 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)))))))
(*.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)))))))
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 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.f64 3 (pow.f64 v 2))
(.f64 3 (.f64 v v))
(*.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 (sqrt.f64 2) (.f64 -5/2 (.f64 v v)))))
(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 (sqrt.f64 2) (.f64 -5/2 (*.f64 v v))))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -5/2 v) v) (*.f64 3/8 (pow.f64 v 4))))))
(+.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 (sqrt.f64 2) (.f64 -5/2 (.f64 v v)))) (.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 (.f64 -5/2 v) v) (.f64 -9/16 (pow.f64 v 6)))) (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) -1/4))
(.f64 (sqrt.f64 2) (.f64 (*.f64 -1/4 (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)))))
(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 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 v 1/4)))
(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 -1/4 (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))))))
(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 (pow.f64 v 3) (sqrt.f64 -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 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) -1/4))))
(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 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (.f64 (sqrt.f64 2) (.f64 (.f64 -1/4 (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)))))))
(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 (pow.f64 v 3) (sqrt.f64 -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 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) -1/4)))))
(+.f64 (.f64 1/4 (+.f64 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (/.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 (.f64 -1/4 (pow.f64 v 3)) (sqrt.f64 -3))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) 1/4))
(.f64 (sqrt.f64 2) (.f64 (*.f64 1/4 (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 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 v -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 (pow.f64 v 3) (sqrt.f64 -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 (pow.f64 v 3) (sqrt.f64 -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 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 (pow.f64 v 3) (sqrt.f64 -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 (pow.f64 v 3) (sqrt.f64 -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 (pow.f64 v 3) (sqrt.f64 -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 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (/.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 (.f64 1/4 (sqrt.f64 -3)) (pow.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 1/4 (.f64 (*.f64 -3/8 v) v)))
(+.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 1/4 (.f64 (.f64 -3/8 v) v))))
(+.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 (.f64 v v) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -3/8 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 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 (.f64 1/8 (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) 1/8) (.f64 v (sqrt.f64 -3))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 1/8 v)))
(+.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 (.f64 1/8 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3)))))
(fma.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 -1/32 (*.f64 (sqrt.f64 -3) -3)) (/.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (*.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 (sqrt.f64 -3) 5) (pow.f64 v 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 (.f64 1/8 (sqrt.f64 2)) (.f64 v (sqrt.f64 -3))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.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 -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 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (.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 -1/4 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v (sqrt.f64 -3)) -1/4))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (*.f64 v -1/4)))
(+.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 -1/4 (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 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 -1/8 v)))
(+.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 -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) (.f64 (sqrt.f64 -3) -3))) 1/32)))
(fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (fma.f64 -1/4 (.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 -1/8 (/.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 (sqrt.f64 -3) 5) (pow.f64 v 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 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) -1/64 (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) 1/32))))
(fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (fma.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) -1/64 (fma.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 -1/96 (sqrt.f64 -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))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))
(-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)) (/.f64 (/.f64 -1/24 (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 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (-.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/8 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5))) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v) (/.f64 (/.f64 -1/24 (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)))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (.f64 v (sqrt.f64 -3)) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (.f64 (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 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)))
(-.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 (sqrt.f64 -3) 5) (pow.f64 v 5)))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -3))) (.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))))
(-.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)))

prune194.0ms (10%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status

Error

Program

▶

0.3b

(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))

✓

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 4086 to 3196 computations (21.8% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
✓	0.1b	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8))

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8))
1.0ms	v	@	inf	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8))
0.0ms	v	@	0	(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
0.0ms	v	@	inf	(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
0.0ms	v	@	-inf	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8))

rewrite39.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
91×	`add-exp-log_binary64`
91×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	206	24
2	2245	24

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 (sqrt.f64 25/32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/32))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v (sqrt.f64 25/32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v v) 3) (*.f64 (sqrt.f64 25/32) 25/32)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 25/32) 25/32) (pow.f64 (*.f64 v v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) 1) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 2) (cbrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) (sqrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (pow.f64 (*.f64 v (*.f64 v (sqrt.f64 25/32))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) 1/4)) (-.f64 (*.f64 (pow.f64 v 4) 25/32) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (pow.f64 v 4) 25/32)) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (sqrt.f64 25/32))))))))))

simplify74.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
400×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
262×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	336
1	23	336
2	47	309
3	101	291
4	250	291
5	742	291
6	1054	291
7	1470	291
8	1570	291
9	1705	291
10	1877	291
11	2120	291
12	2433	291
13	2805	291
14	3262	291
15	3843	291
16	4547	291

Stop Event

1×	node limit

Counts

62 → 44

Calls

Call 1

Inputs
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))

Outputs
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(*.f64 1/4 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1/4)
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(.f64 -5/8 (.f64 (sqrt.f64 2) (pow.f64 v 2)))
(.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v))
(.f64 (sqrt.f64 2) (.f64 (*.f64 v v) -5/8))
(.f64 (sqrt.f64 2) (.f64 -5/8 (*.f64 v v)))
(.f64 -5/8 (.f64 (sqrt.f64 2) (*.f64 v v)))
(.f64 (.f64 v v) (*.f64 -5/8 (sqrt.f64 2)))
(.f64 v (.f64 v (*.f64 -5/8 (sqrt.f64 2))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -5/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -5/8 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 -5/8 (.f64 (sqrt.f64 2) (.f64 v v)) (*.f64 (sqrt.f64 2) 1/4))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -5/8 (*.f64 v v)) 1/4))
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))

prune45.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	44	3	47

Error

Counts

47 → 3

Alt Table

Status

Error

Program

✓

0.3b

(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))

✓

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 669 to 566 computations (15.4% saved)

regimes24.0ms (1.3%)

Accuracy

Total -0.8b remaining (-10212.9%)

Threshold costs -0.8b (-10212.9%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (fma.f64 -5/8 (.f64 v v) 1/4))
(*.f64 (sqrt.f64 2) 1/4)
(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (+.f64 1 (.f64 (*.f64 v v) -3)) 1/8)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 -3/8 v) v))) (-.f64 1 (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (*.f64 (sqrt.f64 2) -5/8)))
(*.f64 1/4 (sqrt.f64 2))
(fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/32) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -5/8))))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 v 2) (+.f64 (sqrt.f64 2) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (sqrt.f64 2)))
(.f64 (fma.f64 (.f64 v v) -3/2 1) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 1/4 (sqrt.f64 2)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

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

Results

9.0ms	0.0b	`v`
3.0ms	0.0b	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
3.0ms	0.0b	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
3.0ms	0.0b	`(*.f64 v v)`

Compiler

Compiled 241 to 184 computations (23.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-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	14	27
1	25	27
2	32	27
3	36	27
4	38	27

Stop Event

1×

saturated

Calls

Call 1

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

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

end19.0ms (1%)

Stop Event

1×

done

Compiler

Compiled 38 to 28 computations (26.3% saved)

Details

analyze6.0ms (0.3%)

sample992.0ms (51.4%)

preprocess32.0ms (1.6%)

simplify22.0ms (1.2%)

prune4.0ms (0.2%)

localize11.0ms (0.6%)

series10.0ms (0.5%)

rewrite57.0ms (2.9%)

simplify35.0ms (1.8%)

prune228.0ms (11.8%)

localize10.0ms (0.5%)

series9.0ms (0.4%)

rewrite66.0ms (3.4%)

simplify42.0ms (2.2%)

prune194.0ms (10%)

localize7.0ms (0.4%)

series3.0ms (0.1%)

rewrite39.0ms (2%)

simplify74.0ms (3.8%)

prune45.0ms (2.3%)

regimes24.0ms (1.3%)

simplify3.0ms (0.1%)

end19.0ms (1%)

Profiling