Details

analyze11.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.3s (22.6%)

Results

1.3s	8256×	body	256	valid
2.0ms	14×	body	256	invalid

Bogosity

preprocess95.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
488×	`associate-/l*_binary64`
410×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	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 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
488×	`associate-/l*_binary64`
410×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	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 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 -1/4 (fma.f64 v v -1))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))

eval2.0ms (0%)

Compiler: Compiled 37 to 28 computations (24.3% saved)

prune2.0ms (0%)

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

Click to see full 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 20 to 15 computations (25% saved)

localize118.0ms (2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 48 computations (33.3% saved)

series17.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms	v	@	inf	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
2.0ms	v	@	0	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
1.0ms	v	@	0	(.f64 3 (.f64 v v))

rewrite128.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
701×	`prod-diff_binary64`
288×	`fma-def_binary64`
255×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	331	58
2	4109	52

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))))) (#(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 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 3)) 1))))) (#(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 (hypot.f64 1 (.f64 v (sqrt.f64 3))) (hypot.f64 1 (.f64 v (sqrt.f64 3))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 (.f64 v (neg.f64 v)) (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 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (-.f64 1 (pow.f64 v 6))) (.f64 4 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (-.f64 1 (pow.f64 v 4))) (.f64 4 (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) (.f64 (fma.f64 v v 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) (-.f64 1 (.f64 v v))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (.f64 v v))) (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 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3) (pow.f64 (-.f64 1 (.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (.f64 1/4 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))) (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (sqrt.f64 1/8) (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (sqrt.f64 1/8) (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 1 (.f64 (.f64 v (neg.f64 v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 1 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 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 (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 (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 (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 9 (pow.f64 v 4)))) (hypot.f64 1 (.f64 v (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 27 (pow.f64 v 6)))) (hypot.f64 1 (hypot.f64 (.f64 3 (.f64 v v)) (.f64 v (sqrt.f64 3)))))))) (#(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 hypot.f64 1 (sqrt.f64 (.f64 (.f64 v v) -3)))))) (#(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 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (.f64 v v) -3))) 1))))))

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

645×	`associate-l_binary64`
564×	`associate-r_binary64`
356×	`associate-/r*_binary64`
303×	`associate-+l+_binary64`
243×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1365
1	507	1329
2	1756	1237
3	6376	1236

Stop Event

1×	node limit

Counts

188 → 209

Calls

Call 1

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

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

eval152.0ms (2.5%)

Compiler: Compiled 5420 to 4025 computations (25.7% saved)

prune86.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	7	210

Error

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶	0.2b	(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
▶	1.0b	(*.f64 1/4 (sqrt.f64 2))
▶	0.0b	(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 196 to 149 computations (24% saved)

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

0.0b

(pow.f64 (-.f64 1 (*.f64 v v)) 2)

Compiler

Compiled 68 to 41 computations (39.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite151.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
350×	`pow-prod-down_binary64`
303×	`pow2_binary64`
211×	`pow1/3_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	275	55
2	3118	55

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Inputs

(pow.f64 (-.f64 1 (*.f64 v v)) 2)

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

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

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

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simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
565×	`fma-neg_binary64`
536×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
350×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	869
1	336	831
2	1200	755
3	5411	719

Stop Event

1×	node limit

Counts

148 → 157

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))

Outputs
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (.f64 -2 (.f64 v v)))
(fma.f64 -2 (*.f64 v v) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (.f64 -2 (.f64 v v)) (pow.f64 v 4))
(fma.f64 -2 (*.f64 v v) (pow.f64 v 4))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (.f64 -2 (.f64 v v)) (pow.f64 v 4))
(fma.f64 -2 (*.f64 v v) (pow.f64 v 4))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(fma.f64 -5/8 (*.f64 v v) 1/8)
(fma.f64 (*.f64 v v) -5/8 1/8)
(fma.f64 v (*.f64 v -5/8) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (.f64 (pow.f64 v 4) 7/8))
(fma.f64 (*.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 1/8))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(fma.f64 (pow.f64 v 4) 7/8 (fma.f64 (*.f64 v v) -5/8 1/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (pow.f64 v 4) 7/8 (.f64 (.f64 v v) -5/8)))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (pow.f64 v 4) 7/8 (.f64 (.f64 v v) -5/8)))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8))
(fma.f64 v (.f64 v (.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (.f64 (pow.f64 v 4) 3/8))))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) (+.f64 -5/2 (.f64 (*.f64 v v) 3/8)))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8))))
(+.f64 (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)))
(.f64 (pow.f64 v 3) (neg.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (neg.f64 (pow.f64 v 3))))
(.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (pow.f64 v 3) (neg.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (fma.f64 (neg.f64 (pow.f64 v 3)) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)))
(fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (.f64 v -1/2) (/.f64 1/2 v)))))
(+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 3)) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) -3)) (+.f64 (/.f64 1/8 v) (/.f64 -1/8 (pow.f64 v 3))))) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(-.f64 (+.f64 (fma.f64 v (.f64 (sqrt.f64 1/8) (+.f64 (sqrt.f64 -3) (/.f64 -1/2 (sqrt.f64 -3)))) (.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24)) (.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5))))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (pow.f64 v 3)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v))
(fma.f64 (.f64 (sqrt.f64 1/8) (+.f64 (sqrt.f64 -3) (/.f64 -1/2 (sqrt.f64 -3)))) (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(-.f64 (-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 1/8) 24) (sqrt.f64 -3))) (pow.f64 v 3))))
(+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v) (-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2))) (/.f64 (.f64 (sqrt.f64 1/8) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))

localize8.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(.f64 (.f64 v v) -5/2)
1.0ms	v	@	0	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2))
1.0ms	v	@	inf	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2))
1.0ms	v	@	0	(.f64 (.f64 v v) -5/2)
0.0ms	v	@	-inf	(.f64 (.f64 v v) -5/2)

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	207	20
2	2373	20

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -5/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (*.f64 v (*.f64 v -5/2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 v -5/2)) (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -5/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8)) (sqrt.f64 2)) (-.f64 (+.f64 (*.f64 (pow.f64 v 4) 25/4) 1) (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 v 4) 25/4) -1) (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8))) (-.f64 (+.f64 (*.f64 (pow.f64 v 4) 25/4) 1) (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 25/4) -1)) (fma.f64 v (*.f64 v -5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 1/4) (hypot.f64 1 (*.f64 v (sqrt.f64 -5/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 v (*.f64 v -5/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))))))))

simplify190.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
636×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	264
1	21	246
2	46	246
3	102	228
4	285	228
5	904	228
6	1289	228
7	1705	228
8	1805	228
9	1938	228
10	2107	228
11	2350	228
12	2667	228
13	3037	228
14	3496	228
15	4083	228
16	4791	228
17	5651	228
18	6073	228
19	6389	228
20	6699	228
21	6777	228
22	6811	228

Stop Event

1×	node limit

Counts

56 → 39

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (*.f64 v -3/8))))
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 v (.f64 v -3/8))

Compiler

Compiled 57 to 39 computations (31.6% saved)

series40.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	v	@	0	(.f64 v (.f64 v -3/8))
1.0ms	v	@	0	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	inf	(.f64 v (.f64 v -3/8))
1.0ms	v	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
0.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (*.f64 v -3/8))))

rewrite179.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log-prod_binary64`
500×	`prod-diff_binary64`
322×	`fma-def_binary64`
253×	`pow1/3_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	307	42
2	3894	42

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 2) 1/4) 3) (pow.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) 3)) (fma.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) 1/4) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 (sqrt.f64 2) 1/4)) (*.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))) (-.f64 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 v 6) -27/512 1/64) (sqrt.f64 2)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64)) (sqrt.f64 2)) (-.f64 1/4 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 6) -27/512 1/64)) (fma.f64 (*.f64 v (*.f64 v -3/8)) (fma.f64 v (*.f64 v -3/8) -1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1/16 (*.f64 (pow.f64 v 4) 9/64))) (-.f64 1/4 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 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(*.f64 (pow.f64 (fma.f64 v (*.f64 v -3/8) 1/4) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (fma.f64 v (*.f64 v -3/8) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v -3/8) (*.f64 v (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -3/8)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 v -3/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) 1/4 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 2) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) (*.f64 -3/8 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 9/64)) (*.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 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(cbrt.f64 (*.f64 (sqrt.f64 2) 1/4))) (cbrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) (sqrt.f64 (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (sqrt.f64 (*.f64 (sqrt.f64 2) 1/4)) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 2 1/4) (*.f64 v (sqrt.f64 -3/8))) (*.f64 (pow.f64 2 1/4) (*.f64 v (sqrt.f64 -3/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (sqrt.f64 -3/8)) (pow.f64 2 1/4)) (*.f64 (*.f64 v (sqrt.f64 -3/8)) (pow.f64 2 1/4)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 v (*.f64 (*.f64 v -3/8) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) v) (*.f64 v -3/8) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v -3/8)) v (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) -3/8 (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 v 4) 9/64))) (cbrt.f64 (*.f64 v (*.f64 v -3/8))) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3/8))) (*.f64 v (sqrt.f64 -3/8)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -3/8)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (*.f64 v -3/8)) (pow.f64 2 1/4)) (pow.f64 2 1/4) (*.f64 (sqrt.f64 2) 1/4))))))

simplify158.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

758×	`unswap-sqr_binary64`
748×	`sqr-pow_binary64`
702×	`fma-def_binary64`
602×	`cube-prod_binary64`
391×	`pow-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	552
1	57	552
2	127	498
3	336	444
4	1133	432
5	2034	432
6	2664	432
7	2773	432
8	2881	432
9	3016	432
10	3207	432
11	3452	432
12	4863	432
13	5374	432
14	6046	432
15	6792	432
16	7729	432

Stop Event

1×	node limit

Counts

173 → 153

Calls

Call 1

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

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

localize23.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
1.0ms	v	@	inf	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	-inf	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	0	(sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	inf	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
392×	`prod-exp_binary64`
353×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	230	35
2	2693	35

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v))))) 2)) (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/64) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1) 1))))))

simplify110.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-out_binary64`
476×	`distribute-lft-out_binary64`
380×	`associate-l_binary64`
353×	`associate-r_binary64`
341×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	931
1	384	904
2	1378	845
3	5298	754

Stop Event

1×	node limit

Counts

116 → 137

Calls

Call 1

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

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

eval348.0ms (5.8%)

Compiler: Compiled 11012 to 8126 computations (26.2% saved)

prune68.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	1	0	1
Picked	0	1	1
Done	2	3	5
Total	485	8	493

Error

Counts

493 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
▶	1.2b	(.f64 1/4 (-.f64 (+.f64 1 (.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))) 1))
▶	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	1.0b	(sqrt.f64 1/8)
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
▶	0.1b	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 130 to 96 computations (26.2% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize34.0ms (0.6%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

(*.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v)))

✓

0.0b

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

Compiler

Compiled 79 to 43 computations (45.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
0.0ms	v	@	0	(.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	-inf	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
0.0ms	v	@	-inf	(.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	0	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))

rewrite83.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
366×	`pow-prod-down_binary64`
292×	`pow2_binary64`
203×	`pow1/3_binary64`
198×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	253	55
2	3019	55

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

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

(*.f64 (-.f64 1 (*.f64 v v)) (-.f64 1 (*.f64 v v)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (fma.f64 (*.f64 v v) -3 1))) 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log1p.f64 (*.f64 v (neg.f64 v))) (log.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1) 2))))))

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
565×	`fma-neg_binary64`
536×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
352×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	869
1	336	831
2	1202	755
3	5430	719

Stop Event

1×	node limit

Counts

153 → 162

Calls

Call 1

Inputs
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))

Outputs
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(fma.f64 -5/8 (*.f64 v v) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (.f64 7/8 (pow.f64 v 4)))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) 1/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 7/8 (pow.f64 v 4) (fma.f64 -5/8 (.f64 v v) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 7/8 (pow.f64 v 4) (fma.f64 -5/8 (.f64 v v) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 1)
(fma.f64 v (*.f64 v -2) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 (pow.f64 v 4))
(.f64 (.f64 v v) (fma.f64 v v -2))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 (pow.f64 v 4))
(.f64 (.f64 v v) (fma.f64 v v -2))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 (pow.f64 v 4) 1) (.f64 (.f64 v v) -2))
(+.f64 (pow.f64 v 4) (fma.f64 (*.f64 v v) -2 1))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(sqrt.f64 1/8)
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8))
(fma.f64 v (.f64 v (.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (.f64 v v) -5/2) (.f64 (pow.f64 v 4) 3/8))))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) (+.f64 -5/2 (.f64 (*.f64 v v) 3/8)))))
(+.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 1/8)) (.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 3/2 (sqrt.f64 1/8)) (.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8))))
(+.f64 (fma.f64 v (.f64 v (.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16))))
(+.f64 (fma.f64 v (.f64 v (.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8)) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/16 (.f64 v v)) 3/8))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)))
(.f64 (pow.f64 v 3) (neg.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (neg.f64 (pow.f64 v 3))))
(.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (pow.f64 v 3) (neg.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (fma.f64 (neg.f64 (pow.f64 v 3)) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)))
(fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (.f64 v -1/2) (/.f64 1/2 v)))))
(+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 1/8) -1/2) (/.f64 (sqrt.f64 -3) v)) (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 3)) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (.f64 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) -3)) (+.f64 (/.f64 1/8 v) (/.f64 -1/8 (pow.f64 v 3))))) (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(-.f64 (+.f64 (fma.f64 v (.f64 (sqrt.f64 1/8) (+.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24)) (.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5))))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
(.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (pow.f64 v 3)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v))
(+.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(-.f64 (-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (sqrt.f64 -3))) (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 1/8) 24) (sqrt.f64 -3))) (pow.f64 v 3))))
(+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v) (-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (.f64 v (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2))) (/.f64 (.f64 (sqrt.f64 1/8) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))))

localize30.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2)))
✓	0.0b	(.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2))
✓	1.0b	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2))) 1)

Compiler

Compiled 65 to 53 computations (18.5% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite283.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`prod-diff_binary64`
436×	`log-prod_binary64`
435×	`fma-def_binary64`
262×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	238	40
2	3006	40

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2))) 1)
(.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2))
(+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 2)))

Outputs

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

simplify233.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
635×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	570
1	28	516
2	55	516
3	117	444
4	282	444
5	846	444
6	1334	444
7	1759	444
8	1861	444
9	1996	444
10	2165	444
11	2408	444
12	2721	444
13	3093	444
14	3548	444
15	4141	444
16	4847	444
17	5705	444
18	6131	444
19	6447	444
20	6755	444
21	6833	444
22	6867	444

Stop Event

1×	node limit

Counts

264 → 163

Calls

Call 1

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

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

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8))
✓	0.0b	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
✓	0.1b	(.f64 (.f64 v v) -9/8)
✓	0.1b	(.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8)))

Compiler

Compiled 90 to 51 computations (43.3% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(.f64 (.f64 v v) -9/8)
1.0ms	v	@	inf	(.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8)))
1.0ms	v	@	0	(.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8)))
1.0ms	v	@	0	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	inf	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))

rewrite140.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`prod-diff_binary64`
515×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	341	70
2	4527	70

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

Inputs
(.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8)))
(.f64 (.f64 v v) -9/8)
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
(.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (*.f64 v v) -9/8))) 1) (sqrt.f64 1/8))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 v (.f64 v -3/2)) (.f64 -9/8 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -9/8 (pow.f64 v 4)) (.f64 v (.f64 v -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 v (.f64 v -3/2)) 1) (.f64 (.f64 -9/8 (pow.f64 v 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (.f64 v (fma.f64 v (.f64 v -9/8) -3/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 v (.f64 v -3/2)) 3) (pow.f64 (.f64 -9/8 (pow.f64 v 4)) 3)) (fma.f64 (.f64 v (.f64 v -3/2)) (.f64 v (.f64 v -3/2)) (-.f64 (.f64 (.f64 -9/8 (pow.f64 v 4)) (.f64 -9/8 (pow.f64 v 4))) (.f64 (.f64 v (.f64 v -3/2)) (.f64 -9/8 (pow.f64 v 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 v (.f64 v -3/2)) (.f64 v (.f64 v -3/2))) (.f64 (.f64 -9/8 (pow.f64 v 4)) (.f64 -9/8 (pow.f64 v 4)))) (-.f64 (.f64 v (.f64 v -3/2)) (.f64 -9/8 (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 -729/512 (pow.f64 v 6) -27/8) (.f64 v v)) (fma.f64 (.f64 v (.f64 v -9/8)) (fma.f64 v (.f64 v -9/8) 3/2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9/4 (.f64 (pow.f64 v 4) 81/64)) (.f64 v v)) (-.f64 -3/2 (.f64 v (.f64 v -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v v) (fma.f64 -729/512 (pow.f64 v 6) -27/8)) (fma.f64 (.f64 v (.f64 v -9/8)) (fma.f64 v (.f64 v -9/8) 3/2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 v v) (-.f64 9/4 (.f64 (pow.f64 v 4) 81/64))) (-.f64 -3/2 (.f64 v (.f64 v -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (.f64 v -3/2) (.f64 -9/8 (pow.f64 v 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -3/2) (.f64 -9/8 (pow.f64 v 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 (fma.f64 v (.f64 v -9/8) -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (.f64 v 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simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
536×	`sub-neg_binary64`
453×	`distribute-rgt-neg-in_binary64`
444×	`distribute-rgt-out_binary64`
396×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	789
1	123	761
2	358	731
3	1311	708
4	2915	708
5	5981	708

Stop Event

1×	node limit

Counts

209 → 189

Calls

Call 1

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

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

eval545.0ms (9.1%)

Compiler: Compiled 12684 to 9274 computations (26.9% saved)

prune105.0ms (1.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	512	2	514
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	514	8	522

Error

Counts

522 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
▶	0.2b	(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
✓	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	1.0b	(sqrt.f64 1/8)
▶	2.0b	(*.f64 1/4 (-.f64 (+.f64 (sqrt.f64 2) 1) 1))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 121 to 89 computations (26.4% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 24 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite90.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
516×	`add-log-exp_binary64`
515×	`log1p-expm1-u_binary64`
515×	`expm1-log1p-u_binary64`
507×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	138	3
2	1749	3

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

42 → 42

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
0.0ms	v	@	inf	(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
0.0ms	v	@	0	(.f64 v (.f64 v -5/2))
0.0ms	v	@	-inf	(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
0.0ms	v	@	-inf	(.f64 v (.f64 v -5/2))

rewrite64.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
888×	`add-log-exp_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	212	20
2	2537	20

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -5/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) 1) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) 3) (*.f64 1/8 (sqrt.f64 1/8))) (+.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8)))) (-.f64 1/8 (*.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8)))) 1/8) (-.f64 (*.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 1/8))) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8)) (sqrt.f64 1/8)) (+.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2) (-.f64 1 (*.f64 v (*.f64 v -5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2) -1) (sqrt.f64 1/8)) (fma.f64 v (*.f64 v -5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (+.f64 1 (*.f64 (pow.f64 (*.f64 v v) 3) -125/8))) (+.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2) (-.f64 1 (*.f64 v (*.f64 v -5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (+.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2) -1)) (fma.f64 v (*.f64 v -5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -5/2))) (pow.f64 1/8 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (fma.f64 v (*.f64 v -5/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (*.f64 v -5/2) 1) 3) (*.f64 1/8 (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 v (*.f64 v -5/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -5/2)) (sqrt.f64 1/8) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (*.f64 v (*.f64 v -5/2)) (sqrt.f64 1/8))))))

simplify175.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	246
1	22	246
2	47	228
3	112	228
4	293	228
5	986	228
6	1292	228
7	1706	228
8	1806	228
9	1939	228
10	2111	228
11	2352	228
12	2665	228
13	3035	228
14	3494	228
15	4081	228
16	4787	228
17	5651	228
18	6077	228
19	6395	228
20	6701	228
21	6779	228
22	6813	228

Stop Event

1×	node limit

Counts

61 → 44

Calls

Call 1

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

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

eval33.0ms (0.5%)

Compiler: Compiled 1068 to 961 computations (10% saved)

prune14.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	86	8	94

Error

Counts

94 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
✓	0.2b	(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
✓	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	1.0b	(sqrt.f64 1/8)
✓	2.0b	(*.f64 1/4 (-.f64 (+.f64 (sqrt.f64 2) 1) 1))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 121 to 89 computations (26.4% saved)

regimes33.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
7.0ms	v
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 226 to 160 computations (29.2% saved)

regimes19.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 1/4 (-.f64 (+.f64 (sqrt.f64 2) 1) 1))
(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
(.f64 1/4 (-.f64 (+.f64 1 (.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

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

Calls

4 calls:

6.0ms	v
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 170 to 125 computations (26.5% saved)

regimes15.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 1/4 (-.f64 (+.f64 (sqrt.f64 2) 1) 1))
(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
(.f64 1/4 (-.f64 (+.f64 1 (.f64 (fma.f64 v (*.f64 v -5/2) 1) (sqrt.f64 2))) 1))

Outputs
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))

Calls

2 calls:

10.0ms	v
3.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.1b	1	`v`
0.1b	1	`(*.f64 v v)`

Compiler

Compiled 96 to 73 computations (24% saved)

regimes12.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	v
3.0ms	(*.f64 v v)
2.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.2b	1	`v`
0.2b	1	`(*.f64 v v)`
0.2b	1	`(*.f64 v v)`

Compiler

Compiled 63 to 49 computations (22.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.9b remaining (-91.5%)

Threshold costs -0.9b (-91.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.0b	1	`v`

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	104
1	48	104
2	55	104
3	59	104
4	61	104

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
(sqrt.f64 1/8)

Outputs
(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
(.f64 (.f64 (+.f64 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (.f64 v v) -9/8))) 1) (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))
(.f64 (-.f64 1 (.f64 v v)) (.f64 (+.f64 1 (.f64 (.f64 v v) (+.f64 -3/2 (.f64 (*.f64 v v) -9/8)))) (sqrt.f64 1/8)))
(.f64 (sqrt.f64 1/8) (+.f64 (.f64 v (*.f64 v -5/2)) 1))
(.f64 (sqrt.f64 1/8) (+.f64 1 (.f64 v (*.f64 v -5/2))))
(sqrt.f64 1/8)

Compiler

Compiled 75 to 52 computations (30.7% saved)

soundness0.0ms (0%)

end48.0ms (0.8%)

Compiler: Compiled 71 to 46 computations (35.2% saved)

Details

analyze11.0ms (0.2%)

sample1.3s (22.6%)

preprocess95.0ms (1.6%)

simplify89.0ms (1.5%)

eval2.0ms (0%)

prune2.0ms (0%)

localize118.0ms (2%)

series17.0ms (0.3%)

rewrite128.0ms (2.1%)

simplify108.0ms (1.8%)

eval152.0ms (2.5%)

prune86.0ms (1.4%)

localize25.0ms (0.4%)

series5.0ms (0.1%)

rewrite151.0ms (2.5%)

simplify66.0ms (1.1%)

localize8.0ms (0.1%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite61.0ms (1%)

simplify190.0ms (3.2%)

localize25.0ms (0.4%)

series40.0ms (0.7%)

rewrite179.0ms (3%)

simplify158.0ms (2.6%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify110.0ms (1.8%)

eval348.0ms (5.8%)

prune68.0ms (1.1%)

localize2.0ms (0%)

localize34.0ms (0.6%)

series3.0ms (0.1%)

rewrite83.0ms (1.4%)

simplify76.0ms (1.3%)

localize30.0ms (0.5%)

series4.0ms (0.1%)

rewrite283.0ms (4.7%)

simplify233.0ms (3.9%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

rewrite140.0ms (2.3%)

simplify103.0ms (1.7%)

eval545.0ms (9.1%)

prune105.0ms (1.8%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite90.0ms (1.5%)

simplify8.0ms (0.1%)

localize22.0ms (0.4%)

series5.0ms (0.1%)

rewrite64.0ms (1.1%)

simplify175.0ms (2.9%)

eval33.0ms (0.5%)

prune14.0ms (0.2%)

regimes33.0ms (0.5%)

regimes19.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

simplify28.0ms (0.5%)

soundness0.0ms (0%)

end48.0ms (0.8%)

Profiling