Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.8s (31.3%)

Results

1.8s	8256×	body	256	valid
2.0ms	12×	body	256	invalid

preprocess98.0ms (1.7%)

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 (1.6%)

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)

localize99.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.1b	(.f64 3 (.f64 v v))

Compiler

Compiled 72 to 48 computations (33.3% saved)

series14.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite154.0ms (2.7%)

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 0 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 2 (fma.f64 (.f64 v v) -3 1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (fma.f64 (.f64 v v) -3 1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (neg.f64 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (fma.f64 (.f64 v v) -3 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 v v) -3 1) 3/2) (.f64 (sqrt.f64 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 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simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-l_binary64`
568×	`associate-r_binary64`
355×	`associate-/r*_binary64`
302×	`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	6375	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 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (.f64 -3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 6) (+.f64 (.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))

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

eval258.0ms (4.5%)

Compiler: Compiled 5424 to 4023 computations (25.8% saved)

prune65.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	5	210

Error

Counts

210 → 5

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 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0.6b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶	0.2b	(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))

Compiler

Compiled 79 to 60 computations (24.1% saved)

localize16.0ms (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)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (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))))))))

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))))))))

simplify170.0ms (3%)

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))

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (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
(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 1 (.f64 v v)))

Outputs

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((#(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))) 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((x exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))) 1) 1))))) (#(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) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(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) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1)))))) (#(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) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 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) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.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) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify120.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-out_binary64`
476×	`distribute-lft-out_binary64`
382×	`associate-l_binary64`
355×	`associate-r_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	931
1	384	904
2	1380	845
3	5298	754

Stop Event

1×	node limit

Counts

116 → 137

Calls

Call 1

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

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

localize38.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
847×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	209	12
2	2424	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify164.0ms (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: 3 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	23	192
2	47	165
3	101	147
4	249	147
5	763	147
6	1066	147
7	1482	147
8	1582	147
9	1717	147
10	1889	147
11	2130	147
12	2445	147
13	2815	147
14	3271	147
15	3862	147
16	4572	147
17	5432	147
18	5856	147
19	6168	147
20	6476	147
21	6556	147
22	6590	147

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

localize77.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 53 computations (38.4% saved)

series16.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)
3.0ms	v	@	-inf	(sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))
3.0ms	v	@	-inf	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)
3.0ms	v	@	0	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))) 2)
1.0ms	v	@	inf	(sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
298×	`pow2_binary64`
208×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	294	46
2	3092	46

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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(sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))))))) 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v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 v v))) 2)) (cbrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) (-.f64 1 (*.f64 v v))) 1/2) (sqrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (cbrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8))) (pow.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (pow.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) 1/4)) (pow.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))) 5/6) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))) (pow.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) 1/4)) (sqrt.f64 (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 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 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 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 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8))) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 1/8)) (-.f64 1 (*.f64 v v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 v (*.f64 v -3)) 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simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in_binary64`
942×	`distribute-lft-in_binary64`
376×	`fma-def_binary64`
265×	`*-commutative_binary64`
262×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4313
1	943	3917
2	4096	3382

Stop Event

1×	node limit

Counts

118 → 140

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(+.f64 (.f64 2 (.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (*.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (.f64 2 (.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -27/32 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 -1/8 (sqrt.f64 (sqrt.f64 1/8))) (.f64 3/8 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (pow.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (*.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8)))) 2))) (sqrt.f64 1/8)))
(+.f64 (.f64 2 (.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -27/32 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 -1/8 (sqrt.f64 (sqrt.f64 1/8))) (.f64 3/8 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (pow.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8)))) 2))) (+.f64 (.f64 (pow.f64 v 6) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 3/32 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 27/64 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 -189/128 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/16 (sqrt.f64 (sqrt.f64 1/8)))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 2 (.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -27/32 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 -1/8 (sqrt.f64 (sqrt.f64 1/8))) (*.f64 3/8 (sqrt.f64 (sqrt.f64 1/8))))))))) (sqrt.f64 1/8))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 v 2) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) 2) (sqrt.f64 1/8))))
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(.f64 -1 (.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 v (sqrt.f64 -1))) (sqrt.f64 (sqrt.f64 1/8))))
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Outputs
(sqrt.f64 1/8)
(+.f64 (.f64 2 (.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (*.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 2 (.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4) (sqrt.f64 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 2 (.f64 v (.f64 v (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4)))) (sqrt.f64 1/8))
(fma.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4) (.f64 (.f64 v v) (sqrt.f64 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (.f64 2 (.f64 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 (pow.f64 v 4) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -27/32 (sqrt.f64 (sqrt.f64 1/8))) (+.f64 (.f64 -1/8 (sqrt.f64 (sqrt.f64 1/8))) (.f64 3/8 (sqrt.f64 (sqrt.f64 1/8))))) (sqrt.f64 (sqrt.f64 1/8)))) (pow.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (sqrt.f64 1/8))) (*.f64 -1/2 (sqrt.f64 (sqrt.f64 1/8)))) 2))) (sqrt.f64 1/8)))
(fma.f64 2 (.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4) (sqrt.f64 (sqrt.f64 1/8)))) (fma.f64 (pow.f64 v 4) (fma.f64 2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (fma.f64 -27/32 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 (sqrt.f64 1/8)) 1/4))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4) 2)) (sqrt.f64 1/8)))
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(fma.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4) (.f64 (.f64 v v) (sqrt.f64 (sqrt.f64 1/8)))) (fma.f64 (pow.f64 v 4) (fma.f64 (.f64 2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) -19/32)) (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) 25/16)) (sqrt.f64 1/8)))
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(fma.f64 -1 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 v (sqrt.f64 -1)))) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/12 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))))) (.f64 1/2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -1))))) v) (/.f64 (fma.f64 -1/96 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))))) (fma.f64 -1/24 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -1))) (.f64 -1/8 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (*.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 (sqrt.f64 -1) 3)))))) (pow.f64 v 3)))))
(-.f64 (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (.f64 v (sqrt.f64 -1))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))))) v))) (/.f64 (fma.f64 -1/96 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))))) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))) (/.f64 (.f64 -1/8 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3)))) (.f64 -1 (sqrt.f64 -1)))))) (pow.f64 v 3)))
(-.f64 (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (.f64 v (sqrt.f64 -1))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1))))) v))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/96 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1))) (/.f64 (.f64 -1/8 (*.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))) (neg.f64 (sqrt.f64 -1)))))) (pow.f64 v 3)))
(+.f64 (.f64 -1 (.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (.f64 v (sqrt.f64 -1))) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) v)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/96 (.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -1/24 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 -1/8 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))))) (pow.f64 v 3))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -7/3456 (.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 1/96 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 -1/192 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v)))))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))))) (pow.f64 v 5))))))
(fma.f64 -1 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (.f64 v (sqrt.f64 -1)))) (fma.f64 -1 (/.f64 (fma.f64 -1/12 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))))) (.f64 1/2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -1))))) v) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1/96 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))))) (fma.f64 -1/24 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -1))) (.f64 -1/8 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 (sqrt.f64 -1) 3)))))) (pow.f64 v 3)) (/.f64 (fma.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 (sqrt.f64 1/8))) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -7/3456 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))))) (fma.f64 1/96 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (.f64 -2 (log.f64 (/.f64 -1 v))))) (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/192 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -3) (*.f64 -2 (log.f64 (/.f64 -1 v))))) (sqrt.f64 -1))))))) (pow.f64 v 5))))))
(.f64 -1 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (.f64 v (sqrt.f64 -1))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))))) (.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))))) v)) (+.f64 (/.f64 (fma.f64 -1/96 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))))) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))) (/.f64 (.f64 -1/8 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3)))) (.f64 -1 (sqrt.f64 -1)))))) (pow.f64 v 3)) (/.f64 (+.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (/.f64 (.f64 1/96 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3)))) (.f64 -1 (sqrt.f64 -1))) (.f64 -1/192 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))))) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (pow.f64 (sqrt.f64 -1) 5))) (.f64 (*.f64 -7/3456 (sqrt.f64 -1)) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))))))) (pow.f64 v 5)))))
(-.f64 (neg.f64 (fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (.f64 v (sqrt.f64 -1))) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/12 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1))))) v))) (+.f64 (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (.f64 -1/96 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1))) (/.f64 (.f64 -1/8 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))) (neg.f64 (sqrt.f64 -1)))))) (pow.f64 v 3)) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 (+.f64 (.f64 1/96 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (neg.f64 (sqrt.f64 -1)))) (.f64 -1/192 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1)))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (pow.f64 (sqrt.f64 -1) 5))) (.f64 -7/3456 (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))))))) (pow.f64 v 5))))

eval367.0ms (6.4%)

Compiler: Compiled 15352 to 12589 computations (18% saved)

prune62.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	473	4	477
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	476	6	482

Error

Counts

482 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
▶	1.5b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 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)))
▶	0.6b	(sqrt.f64 1/8)

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize5.0ms (0.1%)

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

localize23.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	167	12
2	1966	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-def_binary64`
467×	`distribute-rgt-neg-in_binary64`
425×	`fma-neg_binary64`
377×	`distribute-lft-neg-in_binary64`
349×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	160
1	22	151
2	52	133
3	126	133
4	324	133
5	1115	133
6	2518	133
7	3696	133
8	5804	133
9	7274	133

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
832×	`add-log-exp_binary64`
832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	208	13
2	2391	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify169.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	162
1	21	162
2	45	144
3	99	144
4	257	144
5	828	144
6	1146	144
7	1566	144
8	1666	144
9	1799	144
10	1971	144
11	2214	144
12	2527	144
13	2897	144
14	3354	144
15	3941	144
16	4651	144
17	5513	144
18	5935	144
19	6253	144
20	6561	144
21	6639	144
22	6673	144

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v))))
	0.0b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	1.0b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))) 1)

Compiler

Compiled 44 to 29 computations (34.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
489×	`fma-def_binary64`
416×	`log-prod_binary64`
264×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	228	25
2	3108	25

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
641×	`fma-neg_binary64`
468×	`distribute-rgt-neg-in_binary64`
379×	`distribute-lft-neg-in_binary64`
335×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	350
1	30	332
2	64	278
3	167	278
4	415	278
5	1271	278
6	2928	278
7	4194	278
8	6380	278
9	7797	278

Stop Event

1×	node limit

Counts

182 → 166

Calls

Call 1

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

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

eval129.0ms (2.3%)

Compiler: Compiled 4151 to 3130 computations (24.6% saved)

prune64.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	252	7	259

Error

Counts

259 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)
✓	0.6b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
▶	1.5b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.6b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))

Compiler

Compiled 80 to 64 computations (20% saved)

localize41.0ms (0.7%)

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 1/8)))
✓	0.0b	(.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))
✓	1.0b	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)

Compiler

Compiled 49 to 39 computations (20.4% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)
1.0ms	v	@	0	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)
1.0ms	v	@	inf	(+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8)))
1.0ms	v	@	inf	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)
1.0ms	v	@	0	(.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))

rewrite148.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`prod-diff_binary64`
435×	`fma-def_binary64`
431×	`log-prod_binary64`
259×	`pow-prod-down_binary64`
256×	`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 → 234

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 v -5/2)) (sqrt.f64 1/8)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v (*.f64 v -5/2))) (sqrt.f64 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) -5/2 1)) (sqrt.f64 1/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -5/2 1)) (sqrt.f64 1/8)))))))) (#(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 1/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 v v) -5/2 1)) (sqrt.f64 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) (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 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) (cbrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 2))) (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) (fma.f64 (*.f64 v v) -5/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) 1/8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 1/8 1/6) (fma.f64 (*.f64 v v) -5/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/8 (fma.f64 (*.f64 v v) -5/2 1)) 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -5/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)) (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2) (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 3) -1) 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((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 2))) 1) (-.f64 1 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8)) (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) -1) 1) (fma.f64 (pow.f64 1/8 3/2) (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) (-.f64 1 (*.f64 1/8 (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 1/8) 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 1/8) 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 1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 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 1/8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) 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 1/8) 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 1/8)))) 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 1/8)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (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 1/8)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) (cbrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 (*.f64 v v) -5/2 1) 2))) (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) (sqrt.f64 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1/8 1/4) (*.f64 (pow.f64 1/8 1/4) (fma.f64 (*.f64 v v) -5/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) (pow.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) 1/8) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (pow.f64 1/8 1/6) (fma.f64 (*.f64 v v) -5/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1) 2) -1) (/.f64 1 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)) 2) (cbrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 2)) (sqrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 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 1/8) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 (*.f64 v v) -5/2 1) (sqrt.f64 1/8) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) 1/2) (pow.f64 1/8 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (*.f64 v v) -5/2 1) (pow.f64 1/8 1/4)) (pow.f64 1/8 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (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 1/8 (fma.f64 (*.f64 v v) -5/2 1)) 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -5/2 1)) 1)))))

simplify212.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	516
1	30	516
2	62	444
3	127	444
4	295	444
5	908	444
6	1327	444
7	1757	444
8	1859	444
9	1992	444
10	2164	444
11	2409	444
12	2722	444
13	3092	444
14	3549	444
15	4132	444
16	4842	444
17	5698	444
18	6124	444
19	6440	444
20	6748	444
21	6832	444
22	6868	444

Stop Event

1×	node limit

Counts

270 → 168

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Compiler

Compiled 15 to 15 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	139	3
2	1788	3

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Outputs

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

simplify7.0ms (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

eval123.0ms (2.2%)

Compiler: Compiled 3794 to 3007 computations (20.7% saved)

prune49.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	210	7	217

Error

Counts

217 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(-.f64 (+.f64 1 (.f64 (fma.f64 v (.f64 v -5/2) 1) (sqrt.f64 1/8))) 1)
✓	0.6b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
✓	1.5b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
✓	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓	0.6b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))

Compiler

Compiled 80 to 64 computations (20% saved)

regimes32.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	v
6.0ms	(*.f64 v v)
5.0ms	(.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 v v)`

Compiler

Compiled 152 to 110 computations (27.6% saved)

regimes23.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

2 calls:

11.0ms	v
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.0b	1	`v`
0.0b	1	`(*.f64 v v)`

Compiler

Compiled 95 to 70 computations (26.3% saved)

regimes20.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	v
5.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 80 to 61 computations (23.8% saved)

regimes14.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	v
5.0ms	(*.f64 v v)

Results

Error	Segments	Branch
0.6b	1	`v`
0.6b	1	`(*.f64 v v)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.0b remaining (-169.2%)

Threshold costs -1.0b (-169.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.6b	1	`v`

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-rgt-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	81
1	48	81
2	62	81
3	68	81
4	71	81

Stop Event

1×	done
1×	saturated

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

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

Compiler

Compiled 59 to 45 computations (23.7% saved)

soundness0.0ms (0%)

end55.0ms (1%)

Compiler: Compiled 55 to 38 computations (30.9% saved)

Details

analyze4.0ms (0.1%)

sample1.8s (31.3%)

preprocess98.0ms (1.7%)

simplify89.0ms (1.6%)

eval2.0ms (0%)

prune2.0ms (0%)

localize99.0ms (1.7%)

series14.0ms (0.3%)

rewrite154.0ms (2.7%)

simplify119.0ms (2.1%)

eval258.0ms (4.5%)

prune65.0ms (1.1%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite57.0ms (1%)

simplify170.0ms (3%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify120.0ms (2.1%)

localize38.0ms (0.7%)

series2.0ms (0%)

rewrite59.0ms (1%)

simplify164.0ms (2.9%)

localize77.0ms (1.3%)

series16.0ms (0.3%)

rewrite76.0ms (1.3%)

simplify102.0ms (1.8%)

eval367.0ms (6.4%)

prune62.0ms (1.1%)

localize5.0ms (0.1%)

localize23.0ms (0.4%)

series1.0ms (0%)

rewrite51.0ms (0.9%)

simplify83.0ms (1.5%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1%)

simplify169.0ms (3%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite75.0ms (1.3%)

simplify91.0ms (1.6%)

eval129.0ms (2.3%)

prune64.0ms (1.1%)

localize41.0ms (0.7%)

series8.0ms (0.1%)

rewrite148.0ms (2.6%)

simplify212.0ms (3.7%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (0.9%)

simplify7.0ms (0.1%)

eval123.0ms (2.2%)

prune49.0ms (0.9%)

regimes32.0ms (0.6%)

regimes23.0ms (0.4%)

regimes20.0ms (0.4%)

regimes14.0ms (0.3%)

regimes8.0ms (0.1%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end55.0ms (1%)

Profiling