Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.0s (42.5%)

Results

995.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 42 to 32 computations (23.8% saved)

preprocess31.0ms (1.3%)

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 (0.9%)

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))))

prune37.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

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)))

Compiler

Compiled 77 to 58 computations (24.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (.f64 3 (.f64 v v)))
✓	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)))))
✓	0.2b	(.f64 3 (.f64 v v))

series7.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite57.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`prod-diff_binary64`
204×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
153×	`fma-def_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	277	44
2	3188	38

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

Inputs
(.f64 3 (.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))))
(-.f64 1 (.f64 3 (.f64 v v)))

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

simplify43.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

343×	`distribute-neg-frac_binary64`
331×	`fma-def_binary64`
264×	`associate-/r*_binary64`
241×	`sub-neg_binary64`
223×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	877
1	292	859
2	960	797
3	4167	797

Stop Event

1×	node limit

Counts

162 → 165

Calls

Call 1

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

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

prune199.0ms (8.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	2	166

Error

Counts

166 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

0.0b

(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 4109 to 3043 computations (25.9% saved)

localize27.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1))
✓	0.0b	(sqrt.f64 (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1))))
✓	2.5b	(fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)

series12.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)
2.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1))))
2.0ms	v	@	0	(fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)
1.0ms	v	@	-inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1))))
1.0ms	v	@	inf	(sqrt.f64 (-.f64 1 (fma.f64 (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) (sqrt.f64 (fma.f64 3 (.f64 v v) 1)) -1)))

rewrite66.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
184×	`fma-def_binary64`
151×	`prod-diff_binary64`
150×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	326	56
2	3630	48

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

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

simplify50.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

333×	`fma-def_binary64`
313×	`distribute-neg-frac_binary64`
264×	`associate-/r*_binary64`
242×	`associate-l_binary64`
241×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1171
1	315	861
2	1007	797
3	4225	797

Stop Event

1×	node limit

Counts

163 → 169

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

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

prune204.0ms (8.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	169	2	171

Error

Counts

171 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

▶

0.0b

(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 4674 to 3529 computations (24.5% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3)
2.0ms	v	@	0	(pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3)
1.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3)
1.0ms	v	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3))
1.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3))

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`
95×	`add-cbrt-cube_binary64`
95×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	243	40
2	2323	40

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

767×	`associate-r_binary64`
546×	`fma-def_binary64`
406×	`times-frac_binary64`
352×	`cancel-sign-sub-inv_binary64`
231×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1294
1	313	1249
2	1275	1130

Stop Event

1×	node limit

Counts

125 → 109

Calls

Call 1

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

Outputs
(pow.f64 (sqrt.f64 1/8) 3)
(*.f64 1/8 (sqrt.f64 1/8))
(-.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 9/2 (.f64 (pow.f64 v 2) (pow.f64 (sqrt.f64 1/8) 3))))
(-.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 (.f64 9/2 (*.f64 v v)) (pow.f64 (sqrt.f64 1/8) 3)))
(fma.f64 1/8 (sqrt.f64 1/8) (.f64 (.f64 (sqrt.f64 1/8) (.f64 1/8 (.f64 v v))) -9/2))
(.f64 (sqrt.f64 1/8) (-.f64 1/8 (.f64 (.f64 9/2 (.f64 v v)) 1/8)))
(-.f64 (+.f64 (.f64 27/8 (.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (pow.f64 (sqrt.f64 1/8) 3)) (.f64 9/2 (.f64 (pow.f64 v 2) (pow.f64 (sqrt.f64 1/8) 3))))
(-.f64 (fma.f64 27/8 (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 v 4)) (pow.f64 (sqrt.f64 1/8) 3)) (.f64 (.f64 9/2 (.f64 v v)) (pow.f64 (sqrt.f64 1/8) 3)))
(+.f64 (.f64 (+.f64 (.f64 27/8 (pow.f64 v 4)) 1) (.f64 1/8 (sqrt.f64 1/8))) (.f64 (.f64 (sqrt.f64 1/8) (.f64 1/8 (*.f64 v v))) -9/2))
(.f64 (.f64 1/8 (sqrt.f64 1/8)) (-.f64 (fma.f64 27/8 (pow.f64 v 4) 1) (.f64 9/2 (.f64 v v))))
(-.f64 (+.f64 (.f64 27/8 (.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 27/16 (.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/8) 3))) (pow.f64 (sqrt.f64 1/8) 3))) (.f64 9/2 (.f64 (pow.f64 v 2) (pow.f64 (sqrt.f64 1/8) 3))))
(-.f64 (fma.f64 27/8 (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 v 4)) (fma.f64 27/16 (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 v 6)) (pow.f64 (sqrt.f64 1/8) 3))) (.f64 (.f64 9/2 (*.f64 v v)) (pow.f64 (sqrt.f64 1/8) 3)))
(+.f64 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (+.f64 (.f64 27/8 (pow.f64 v 4)) (.f64 27/16 (pow.f64 v 6)))) (fma.f64 1/8 (sqrt.f64 1/8) (.f64 (.f64 (sqrt.f64 1/8) (.f64 1/8 (.f64 v v))) -9/2)))
(fma.f64 (.f64 -9/16 (sqrt.f64 1/8)) (.f64 v v) (.f64 (.f64 1/8 (sqrt.f64 1/8)) (+.f64 (*.f64 27/16 (pow.f64 v 6)) (fma.f64 27/8 (pow.f64 v 4) 1))))
(.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3)))
(.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)))
(.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (*.f64 -3/8 (sqrt.f64 -3))))
(+.f64 (.f64 3/2 (.f64 v (.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3)))) (.f64 (pow.f64 v 3) (*.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3))))
(fma.f64 3/2 (.f64 v (.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3))) (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8)))) (.f64 (.f64 v (sqrt.f64 -3)) (.f64 (*.f64 1/8 (sqrt.f64 1/8)) 3/2)))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (.f64 -3/8 (sqrt.f64 -3))) (.f64 (.f64 3/16 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3)))) (.f64 3/2 (.f64 v (*.f64 (sqrt.f64 -3) (pow.f64 (sqrt.f64 1/8) 3))))))
(fma.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 3/2 v) (*.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3)))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8)))) (fma.f64 3/2 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))) (/.f64 (.f64 3/64 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3)))))
(fma.f64 (.f64 3/16 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (.f64 -3/8 (sqrt.f64 -3))) (*.f64 (/.f64 3/64 v) (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3)))) (.f64 3/2 (.f64 v (.f64 (sqrt.f64 -3) (pow.f64 (sqrt.f64 1/8) 3)))))) (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 3/2 v) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3))))) (.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8)))) (fma.f64 3/2 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))) (/.f64 (.f64 3/64 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))))) (/.f64 (.f64 1/128 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))
(-.f64 (fma.f64 (.f64 3/16 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (.f64 -3/8 (sqrt.f64 -3))) (.f64 (/.f64 3/64 v) (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (/.f64 (.f64 -1/384 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3)))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3))))
(neg.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3))))
(.f64 (pow.f64 v 3) (neg.f64 (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8))))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (neg.f64 (*.f64 -3/8 (sqrt.f64 1/8)))))
(neg.f64 (+.f64 (.f64 3/2 (.f64 v (.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3)))) (.f64 (pow.f64 v 3) (*.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3)))))
(neg.f64 (fma.f64 3/2 (.f64 v (.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3))) (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (.f64 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))) -3/2) (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))))
(.f64 (.f64 1/8 (sqrt.f64 1/8)) (-.f64 (.f64 (pow.f64 v 3) (.f64 3 (sqrt.f64 -3))) (.f64 3/2 (.f64 v (sqrt.f64 -3)))))
(neg.f64 (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3)))) (.f64 3/2 (.f64 v (*.f64 (sqrt.f64 -3) (pow.f64 (sqrt.f64 1/8) 3)))))))
(neg.f64 (fma.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 3/2 v) (*.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3))))))
(neg.f64 (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8)))) (fma.f64 3/2 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))) (/.f64 (.f64 3/64 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))))))
(neg.f64 (fma.f64 (.f64 3/16 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (.f64 -3/8 (sqrt.f64 -3))) (*.f64 (/.f64 3/64 v) (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 -3) 3) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3)))) (.f64 3/2 (.f64 v (*.f64 (sqrt.f64 -3) (pow.f64 (sqrt.f64 1/8) 3)))))))
(-.f64 (/.f64 (.f64 1/16 (pow.f64 (sqrt.f64 1/8) 3)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 (pow.f64 v 3) (.f64 (pow.f64 (sqrt.f64 1/8) 3) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 1/8) 3) (.f64 v (sqrt.f64 -3))) (.f64 (.f64 3/2 v) (*.f64 (pow.f64 (sqrt.f64 1/8) 3) (sqrt.f64 -3))))))
(-.f64 (/.f64 (.f64 1/128 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (.f64 -3 (.f64 1/8 (sqrt.f64 1/8)))) (fma.f64 3/2 (.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 v (sqrt.f64 -3))) (/.f64 (.f64 3/64 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))
(-.f64 (/.f64 (.f64 -1/384 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3)) (fma.f64 (.f64 3/16 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (.f64 -3/8 (sqrt.f64 -3))) (.f64 (/.f64 3/64 v) (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(sqrt.f64 1/8)
(-.f64 (sqrt.f64 1/8) (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))))
(+.f64 (sqrt.f64 1/8) (.f64 -3/2 (.f64 (sqrt.f64 1/8) (*.f64 v v))))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 -3/2 (sqrt.f64 1/8)) (*.f64 v v)))
(.f64 (+.f64 (.f64 (*.f64 v v) -3/2) 1) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (.f64 9/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/8)))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (.f64 9/8 (.f64 (sqrt.f64 1/8) (pow.f64 v 4)))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 9/8) (.f64 (.f64 v v) 3/2))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 4) 9/8 (.f64 (*.f64 v v) 3/2))))
(-.f64 (sqrt.f64 1/8) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (+.f64 (.f64 9/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (.f64 27/16 (.f64 (pow.f64 v 6) (sqrt.f64 1/8))))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (fma.f64 9/8 (.f64 (sqrt.f64 1/8) (pow.f64 v 4)) (.f64 27/16 (*.f64 (sqrt.f64 1/8) (pow.f64 v 6))))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 9/8) (*.f64 27/16 (pow.f64 v 6))))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) 3/2) (fma.f64 27/16 (pow.f64 v 6) (.f64 (pow.f64 v 4) 9/8)))))
(.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))
(.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v)))
(fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (.f64 (/.f64 (sqrt.f64 1/8) v) (/.f64 1/2 (sqrt.f64 -3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))) -1/8)))
(fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))) (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) -1/8))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(neg.f64 (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (.f64 v (sqrt.f64 -3)) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 (sqrt.f64 -3))))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))
(neg.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(neg.f64 (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (.f64 v (sqrt.f64 -3))) (.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))))
(-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))))
(-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -1/24) (pow.f64 v 3)) (fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (*.f64 (/.f64 (sqrt.f64 1/8) v) (/.f64 1/2 (sqrt.f64 -3)))))
(-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (.f64 v (sqrt.f64 -3)))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))
(sqrt.f64 1/8)
(-.f64 (sqrt.f64 1/8) (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))))
(+.f64 (sqrt.f64 1/8) (.f64 -3/2 (.f64 (sqrt.f64 1/8) (*.f64 v v))))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 -3/2 (sqrt.f64 1/8)) (*.f64 v v)))
(.f64 (+.f64 (.f64 (*.f64 v v) -3/2) 1) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (.f64 9/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/8)))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (.f64 9/8 (.f64 (sqrt.f64 1/8) (pow.f64 v 4)))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 9/8) (.f64 (.f64 v v) 3/2))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 4) 9/8 (.f64 (*.f64 v v) 3/2))))
(-.f64 (sqrt.f64 1/8) (+.f64 (.f64 3/2 (.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (+.f64 (.f64 9/8 (.f64 (pow.f64 v 4) (sqrt.f64 1/8))) (.f64 27/16 (.f64 (pow.f64 v 6) (sqrt.f64 1/8))))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (fma.f64 9/8 (.f64 (sqrt.f64 1/8) (pow.f64 v 4)) (.f64 27/16 (*.f64 (sqrt.f64 1/8) (pow.f64 v 6))))))
(-.f64 (sqrt.f64 1/8) (fma.f64 3/2 (.f64 (sqrt.f64 1/8) (.f64 v v)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 9/8) (*.f64 27/16 (pow.f64 v 6))))))
(-.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) 3/2) (fma.f64 27/16 (pow.f64 v 6) (.f64 (pow.f64 v 4) 9/8)))))
(.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))
(.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v)))
(fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (.f64 (/.f64 (sqrt.f64 1/8) v) (/.f64 1/2 (sqrt.f64 -3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))) -1/8)))
(fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))) (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) -1/8))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(.f64 -1 (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(neg.f64 (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (.f64 v (sqrt.f64 -3)) (neg.f64 (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 (sqrt.f64 -3))))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))
(neg.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(neg.f64 (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))))
(-.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (.f64 v (sqrt.f64 -3))) (.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))))
(-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))))
(-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -1/24) (pow.f64 v 3)) (fma.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)) (*.f64 (/.f64 (sqrt.f64 1/8) v) (/.f64 1/2 (sqrt.f64 -3)))))
(-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (/.f64 (.f64 1/8 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -3) (.f64 -3 (pow.f64 v 3)))) (fma.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (.f64 v (sqrt.f64 -3)))) (fma.f64 1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))

prune109.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

✓

0.0b

(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 2863 to 2135 computations (25.4% saved)

regimes295.0ms (12.4%)

Accuracy

Total 0.0b remaining (44.2%)

Threshold costs 0.0b (44.2%)

Counts

210 → 1

Compiler

Compiled 4456 to 3175 computations (28.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	29	45
2	38	45
3	44	45
4	47	45

Stop Event

1×

saturated

Calls

Call 1

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

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

end81.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 112 to 83 computations (25.9% saved)

Details

analyze5.0ms (0.2%)

sample1.0s (42.5%)

preprocess31.0ms (1.3%)

simplify22.0ms (0.9%)

prune37.0ms (1.5%)

localize10.0ms (0.4%)

series7.0ms (0.3%)

rewrite57.0ms (2.4%)

simplify43.0ms (1.8%)

prune199.0ms (8.4%)

localize27.0ms (1.1%)

series12.0ms (0.5%)

rewrite66.0ms (2.8%)

simplify50.0ms (2.1%)

prune204.0ms (8.6%)

localize12.0ms (0.5%)

series7.0ms (0.3%)

rewrite53.0ms (2.2%)

simplify40.0ms (1.7%)

prune109.0ms (4.6%)

regimes295.0ms (12.4%)

simplify3.0ms (0.1%)

end81.0ms (3.4%)

Profiling