Details

analyze45.0ms (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)

sample1.2s (27.9%)

Results

1.2s	8256×	body	256	valid
2.0ms	15×	body	256	invalid

preprocess60.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
490×	`associate-/l*_binary64`
423×	`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	710	27
5	1695	25
6	2919	25
7	5144	25
8	7402	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

748×	`fma-neg_binary64`
738×	`div-sub_binary64`
598×	`fma-def_binary64`
490×	`associate-/l*_binary64`
423×	`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	710	27
5	1695	25
6	2919	25
7	5144	25
8	7402	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (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)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series11.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite109.0ms (2.5%)

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	4103	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) (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log1p.f64 2)) 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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simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-l_binary64`
574×	`associate-r_binary64`
354×	`associate-/r*_binary64`
304×	`associate-+l+_binary64`
244×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1365
1	507	1329
2	1756	1237
3	6234	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 (.f64 v v) (*.f64 (sqrt.f64 2) -3/8)))
(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (*.f64 v -3/8))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 -3/8 (.f64 (.f64 v v) (sqrt.f64 2)))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -3/8))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 v (.f64 v -3/8)))))
(+.f64 (.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6))) (.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (.f64 (sqrt.f64 2) (pow.f64 v 6)) (.f64 -3/8 (.f64 (*.f64 v v) (sqrt.f64 2))))))
(fma.f64 -9/32 (.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (.f64 v (.f64 v (sqrt.f64 2))) (.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -27/64)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 v (.f64 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 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/4))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 1/8 (sqrt.f64 -3)) (/.f64 (sqrt.f64 2) v)))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 -1/32 (*.f64 (sqrt.f64 -3) -3)) (/.f64 (sqrt.f64 2) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))
(+.f64 (.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))) (+.f64 (.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (.f64 (/.f64 -1/32 (*.f64 (sqrt.f64 -3) -3)) (/.f64 (sqrt.f64 2) (pow.f64 v 3))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/4 (.f64 v (.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3))))))
(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 v (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) -1/4))
(.f64 v (.f64 (sqrt.f64 2) (*.f64 (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))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (.f64 v (.f64 v (.f64 (sqrt.f64 2) -5/2)))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 v (.f64 v (*.f64 (sqrt.f64 2) -5/8))))
(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (+.f64 (.f64 1/4 (.f64 (pow.f64 v 4) (+.f64 (.f64 -9/8 (sqrt.f64 2)) (.f64 3/2 (sqrt.f64 2))))) (.f64 1/4 (.f64 (pow.f64 v 2) (+.f64 (.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 1/4 (+.f64 (.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8)) (.f64 (.f64 v v) (.f64 (sqrt.f64 2) -5/2)))))
(.f64 1/4 (+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8) (.f64 v (.f64 v (*.f64 (sqrt.f64 2) -5/2))))))
(.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 (fma.f64 (pow.f64 v 4) (.f64 (sqrt.f64 2) 3/8) (.f64 v (.f64 v (.f64 (sqrt.f64 2) -5/2)))) (.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/2) (.f64 (pow.f64 v 4) 3/8))) (.f64 (pow.f64 v 6) (.f64 (sqrt.f64 2) -9/64))))
(.f64 1/4 (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 v v) -5/2) (.f64 (pow.f64 v 6) -9/16))) (.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1) (sqrt.f64 2))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4))
(.f64 (sqrt.f64 2) (.f64 (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 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.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 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 -1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.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 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 -1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(fma.f64 1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) -1/4)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 1/4 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 2) 24) (sqrt.f64 -3))) (pow.f64 v 3))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) -1/4))) (.f64 1/4 (+.f64 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 (/.f64 1/24 (sqrt.f64 -3)) (sqrt.f64 2))) (pow.f64 v 3))))))
(.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 -3) (.f64 (sqrt.f64 2) (*.f64 1/4 (pow.f64 v 3))))
(+.f64 (.f64 -1/4 (.f64 v (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1/4 (.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(fma.f64 (.f64 v -1/4) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 (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 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 (/.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 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (.f64 1/4 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))))
(fma.f64 -1/4 (.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -3) (pow.f64 v 3))) (.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(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) 24) (sqrt.f64 -3))) (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)))))
(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 1/24 (sqrt.f64 -3)) (sqrt.f64 2))) (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)))))
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 (/.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 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 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (.f64 v (sqrt.f64 -3)) (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (/.f64 1/8 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (.f64 v (sqrt.f64 -3))) (-.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (/.f64 1/8 (pow.f64 v 3)) (.f64 (sqrt.f64 -3) -3))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (+.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 (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 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (.f64 -1 (.f64 v (sqrt.f64 -3))) (.f64 1/2 (/.f64 1 (.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (.f64 v (sqrt.f64 -3))) (/.f64 1/2 (.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (/.f64 -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 -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 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(-.f64 (/.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 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))))

eval113.0ms (2.6%)

Compiler: Compiled 5425 to 4028 computations (25.8% saved)

prune67.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	0	0
Picked	1	0	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)))
▶	0.2b	(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 v v) -5/2) 1) (sqrt.f64 2)))
▶	0.0b	(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
▶	0.5b	(.f64 (.f64 1/4 (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 154 to 116 computations (24.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
304×	`pow2_binary64`
211×	`pow1/3_binary64`
209×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	275	32
2	3112	32

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
565×	`fma-neg_binary64`
506×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
330×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	687
1	300	651
2	1116	581
3	5144	545

Stop Event

1×	node limit

Counts

109 → 117

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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)))

rewrite52.0ms (1.2%)

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	2420	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)))))))))

simplify128.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
635×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	192
1	23	192
2	47	165
3	102	147
4	248	147
5	776	147
6	1084	147
7	1500	147
8	1600	147
9	1735	147
10	1907	147
11	2148	147
12	2461	147
13	2831	147
14	3285	147
15	3862	147
16	4572	147
17	5430	147
18	5856	147
19	6172	147
20	6478	147
21	6558	147
22	6594	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 (.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 (.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 -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 (sqrt.f64 2) (.f64 v (*.f64 -1/4 v)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.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 (.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 (.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 -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 (sqrt.f64 2) (.f64 v (*.f64 -1/4 v)))
(+.f64 (.f64 1/4 (sqrt.f64 2)) (.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (.f64 -1/4 (sqrt.f64 2)) (*.f64 v v)))
(fma.f64 1/4 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (*.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 (.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 (.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))

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 v v) -5/2)
	0.0b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2))
✓	0.0b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2))
✓	0.2b	(.f64 (.f64 v v) -5/2)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (1.1%)

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	2363	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 (*.f64 v v) -5/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 v 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 (*.f64 v 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 (*.f64 v v) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 v v) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 v v) -5/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 v v) -5/2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 v v) -5/2) (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v 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 (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 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 (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 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))))))))

simplify167.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
641×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	264
1	21	246
2	46	246
3	103	228
4	275	228
5	834	228
6	1214	228
7	1630	228
8	1730	228
9	1865	228
10	2037	228
11	2280	228
12	2595	228
13	2967	228
14	3424	228
15	4005	228
16	4715	228
17	5571	228
18	5993	228
19	6311	228
20	6617	228
21	6699	228
22	6735	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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (sqrt.f64 2) (.f64 -5/2 (*.f64 v v)))
(.f64 -5/2 (.f64 v (*.f64 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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (sqrt.f64 2) (.f64 -5/2 (*.f64 v v)))
(.f64 -5/2 (.f64 v (*.f64 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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (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 (.f64 v v) (sqrt.f64 2)) (sqrt.f64 2))
(fma.f64 -5/2 (.f64 v (.f64 v (sqrt.f64 2))) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (fma.f64 -5/2 (.f64 v v) 1))

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite148.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
392×	`prod-exp_binary64`
353×	`exp-prod_binary64`
293×	`pow-prod-down_binary64`
266×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	230	35
2	2687	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

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

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-rgt-out_binary64`
474×	`distribute-lft-out_binary64`
383×	`associate-l_binary64`
357×	`associate-r_binary64`
344×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	931
1	384	904
2	1353	845
3	5268	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 -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 (.f64 -9/8 (pow.f64 v 4)) (.f64 -3/2 (.f64 v v))) (*.f64 -27/16 (pow.f64 v 6)))))
(.f64 (sqrt.f64 1/8) (+.f64 (+.f64 1 (.f64 -27/16 (pow.f64 v 6))) (.f64 (.f64 v v) (+.f64 (.f64 (.f64 v v) -9/8) -3/2))))
(.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 1/2 (.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3))))
(+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 v (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))))))
(fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 v (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (.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))))))
(+.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))) (fma.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))))
(+.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))))) (fma.f64 1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (/.f64 1/24 (sqrt.f64 -3)))))
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(.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 v (neg.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (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))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3))) -1/2 (/.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))))
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(-.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))))))
(sqrt.f64 1/8)
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(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))
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(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)))
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(+.f64 (.f64 (sqrt.f64 1/8) (+.f64 (.f64 (pow.f64 v 4) 3/8) (.f64 (pow.f64 v 6) -9/16))) (fma.f64 (.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 1/8) (+.f64 (+.f64 (.f64 (pow.f64 v 4) 3/8) (.f64 (pow.f64 v 6) -9/16)) (.f64 (*.f64 v v) -5/2))))
(.f64 -1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)))
(.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (pow.f64 v 3)))
(.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (neg.f64 (pow.f64 v 3))))
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(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(-.f64 (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 -1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
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(+.f64 (.f64 v (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
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(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 -1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.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 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -1/24) 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)))))
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(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/8) (.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (.f64 1/2 (/.f64 (sqrt.f64 1/8) (.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (.f64 (.f64 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8)) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v (/.f64 (.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)) (/.f64 (.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 -1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v)))) (.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (.f64 (/.f64 (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 (/.f64 -1/2 (sqrt.f64 -3)) (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 (pow.f64 v 3) (sqrt.f64 -3)) (sqrt.f64 1/8))
(.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (pow.f64 v 3)))
(.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 -3) (pow.f64 v 3)))
(+.f64 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (.f64 -1 (.f64 v (+.f64 (.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 -1/2 (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
(-.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (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))))))))
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(-.f64 (-.f64 (.f64 (sqrt.f64 -3) (.f64 (sqrt.f64 1/8) (pow.f64 v 3))) (+.f64 (.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (/.f64 (.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v))) (/.f64 (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 (.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 (sqrt.f64 1/8) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))

localize25.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

series17.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)
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)
2.0ms	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))))
1.0ms	v	@	-inf	(sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v))))

rewrite72.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
342×	`pow-prod-down_binary64`
299×	`pow2_binary64`
208×	`pow1/3_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	294	46
2	3084	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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(fma.f64 v (*.f64 v -3) 1) 1/8))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.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 (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 (-.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 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) (cbrt.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)) (*.f64 (cbrt.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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 1/4) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 v v))) (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 3/4) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 1/4))))) (#(struct:change 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v))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 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simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4313
1	943	3917
2	4065	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))))
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(+.f64 (.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)))) (.f64 2 (.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))))) (sqrt.f64 (sqrt.f64 1/8)))))
(+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (+.f64 (.f64 -1/24 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 -1/96 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))))))) (pow.f64 v 2)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.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)))) (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))))) (sqrt.f64 (sqrt.f64 1/8)))) (/.f64 (pow.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) 2) (pow.f64 v 2)))))
(+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 (+.f64 (.f64 -1/192 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 1/96 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -7/3456 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/16 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (sqrt.f64 1/8))))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))))) (pow.f64 v 4)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 2 (.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (+.f64 (.f64 -1/24 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 -1/96 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))))))) (pow.f64 v 2)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.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)))) (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))))) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) (+.f64 (.f64 -1/24 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 -1/96 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8))))))) (pow.f64 v 4))) (/.f64 (pow.f64 (+.f64 (.f64 -1/12 (.f64 (.f64 (sqrt.f64 -1) (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3))))) (sqrt.f64 (sqrt.f64 1/8)))) (.f64 1/2 (.f64 (/.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 v))) (log.f64 -3)))) (sqrt.f64 -1)) (sqrt.f64 (sqrt.f64 1/8))))) 2) (pow.f64 v 2)))))))
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(sqrt.f64 (sqrt.f64 1/8))
(+.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)))
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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 (sqrt.f64 (sqrt.f64 1/8)) (.f64 v (.f64 v (.f64 (sqrt.f64 (sqrt.f64 1/8)) -5/4)))) (sqrt.f64 1/8))
(fma.f64 (.f64 2 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 -5/4 (.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 -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 (.f64 -1/12 (sqrt.f64 -1)) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3)))) (/.f64 (.f64 1/2 (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 -1/8 (/.f64 (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 (.f64 -1/12 (sqrt.f64 -1)) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))) (/.f64 (.f64 1/2 (.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 (.f64 -1/96 (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 -1/8 (/.f64 (*.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 (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) 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 (.f64 -1/12 (sqrt.f64 -1)) (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3)))) (/.f64 (.f64 1/2 (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 -1/8 (/.f64 (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 -1/192 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 v)) (log.f64 -3))) (sqrt.f64 -1))) (/.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 (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 (.f64 -1/12 (sqrt.f64 -1)) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))) (/.f64 (.f64 1/2 (.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 (.f64 -1/96 (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 -1/8 (/.f64 (.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 1/16 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (pow.f64 (sqrt.f64 -1) 5))) (.f64 (.f64 -7/3456 (sqrt.f64 -1)) (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)))) (+.f64 (.f64 -1/192 (/.f64 (.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2)) (sqrt.f64 -1))) (/.f64 (.f64 1/96 (*.f64 (pow.f64 -3 1/4) (pow.f64 (/.f64 -1 v) -1/2))) (neg.f64 (sqrt.f64 -1)))))) (pow.f64 v 5))))

eval471.0ms (10.6%)

Compiler: Compiled 18262 to 14648 computations (19.8% saved)

prune117.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	589	5	594
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	593	6	599

Error

Counts

599 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
▶	1.4b	(-.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)))
▶	0.5b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
▶	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
▶	0.5b	(sqrt.f64 1/8)

Compiler

Compiled 132 to 99 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
393×	`exp-prod_binary64`
367×	`pow-prod-down_binary64`
293×	`pow2_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	253	32
2	3009	32

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 v v)) (*.f64 (*.f64 v (neg.f64 v)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 v v)) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (*.f64 v v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 v 6)) 2) (pow.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-def_binary64`
565×	`fma-neg_binary64`
506×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
330×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	687
1	300	651
2	1116	581
3	5144	545

Stop Event

1×	node limit

Counts

120 → 128

Calls

Call 1

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

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

localize1.0ms (0%)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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)))

rewrite43.0ms (1%)

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	1959	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 (+.f64 1 (pow.f64 v 4)) (*.f64 v v)))))) (#(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 (+.f64 1 (pow.f64 v 4)) (*.f64 v v)))))) (#(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)))))))))

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-def_binary64`
468×	`distribute-rgt-neg-in_binary64`
425×	`fma-neg_binary64`
377×	`distribute-lft-neg-in_binary64`
345×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	160
1	22	151
2	52	133
3	125	133
4	317	133
5	1069	133
6	2349	133
7	3482	133
8	5556	133
9	6984	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) (-.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 (sqrt.f64 1/8) (neg.f64 (.f64 v v)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(.f64 v (.f64 v (neg.f64 (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 (sqrt.f64 1/8) (neg.f64 (.f64 v v)))
(.f64 (sqrt.f64 1/8) (.f64 v (neg.f64 v)))
(.f64 v (.f64 v (neg.f64 (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)))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 v v) -5/2)
	0.0b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
✓	0.0b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
	0.2b	(.f64 (.f64 v v) -5/2)

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))

rewrite81.0ms (1.8%)

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	2380	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 (*.f64 v 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 (*.f64 v 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))))))))

simplify130.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
637×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`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	250	144
5	842	144
6	1155	144
7	1575	144
8	1675	144
9	1810	144
10	1982	144
11	2225	144
12	2540	144
13	2912	144
14	3366	144
15	3951	144
16	4659	144
17	5515	144
18	5945	144
19	6259	144
20	6563	144
21	6637	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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(.f64 -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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(.f64 -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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))
(+.f64 (.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 (+.f64 (.f64 -5/2 (*.f64 v v)) 1) (sqrt.f64 1/8))
(.f64 (sqrt.f64 1/8) (fma.f64 -5/2 (.f64 v v) 1))

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

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	@	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 (+.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)

rewrite80.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`prod-diff_binary64`
489×	`fma-def_binary64`
415×	`log-prod_binary64`
267×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	228	25
2	3013	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 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 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#<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 hypot.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)) (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)) 1) -1)))) (#(struct:change #<rule 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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)) 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(#(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)))))

simplify113.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
641×	`fma-neg_binary64`
470×	`distribute-rgt-neg-in_binary64`
409×	`sub-neg_binary64`
379×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	350
1	30	332
2	64	278
3	167	278
4	411	278
5	1239	278
6	2794	278
7	4015	278
8	6157	278
9	7532	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 v (neg.f64 (.f64 (sqrt.f64 1/8) 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) (-.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 v (neg.f64 (.f64 (sqrt.f64 1/8) 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) (-.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 v (neg.f64 (.f64 (sqrt.f64 1/8) v)))
(.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 v (neg.f64 (.f64 (sqrt.f64 1/8) v)))
(.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)))

eval186.0ms (4.2%)

Compiler: Compiled 7290 to 5357 computations (26.5% saved)

prune50.0ms (1.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	381	6	387

Error

Counts

387 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.5b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
▶	1.5b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
✓	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
✓	0.5b	(sqrt.f64 1/8)
✓	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))

Compiler

Compiled 68 to 51 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series0.0ms (0%)

Counts: 1 → 0

rewrite45.0ms (1%)

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	1717	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)))))

simplify9.0ms (0.2%)

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

eval14.0ms (0.3%)

Compiler: Compiled 375 to 375 computations (0% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	42	6	48

Error

Counts

48 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	0.5b	(.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 v v)))
✓	1.5b	(-.f64 (+.f64 (sqrt.f64 1/8) 1) 1)
✓	0.0b	(sqrt.f64 (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
✓	0.5b	(sqrt.f64 1/8)
✓	0.2b	(.f64 (+.f64 (.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))

Compiler

Compiled 68 to 51 computations (25% saved)

regimes22.0ms (0.5%)

Counts

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

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

Calls

4 calls:

7.0ms	v
4.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms	(*.f64 v v)
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Results

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

Compiler

Compiled 197 to 137 computations (30.5% saved)

regimes18.0ms (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 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 141 to 102 computations (27.7% saved)

regimes11.0ms (0.2%)

Counts

7 → 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)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes11.0ms (0.2%)

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:

6.0ms	(*.f64 v v)
4.0ms	v

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-202%)

Threshold costs -1.0b (-202%)

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:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`v`

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	34	83
2	41	83
3	45	83
4	47	83

Stop Event

1×

saturated

Calls

Call 1

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

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

end46.0ms (1%)

Stop Event

1×

done

Compiler

Compiled 118 to 81 computations (31.4% saved)

Details

analyze45.0ms (1%)

sample1.2s (27.9%)

preprocess60.0ms (1.3%)

simplify49.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series11.0ms (0.2%)

rewrite109.0ms (2.5%)

simplify73.0ms (1.7%)

eval113.0ms (2.6%)

prune67.0ms (1.5%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite62.0ms (1.4%)

simplify54.0ms (1.2%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (1.2%)

simplify128.0ms (2.9%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite50.0ms (1.1%)

simplify167.0ms (3.8%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite148.0ms (3.3%)

simplify53.0ms (1.2%)

localize25.0ms (0.6%)

series17.0ms (0.4%)

rewrite72.0ms (1.6%)

simplify102.0ms (2.3%)

eval471.0ms (10.6%)

prune117.0ms (2.7%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify59.0ms (1.3%)

localize1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite43.0ms (1%)

simplify56.0ms (1.3%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite81.0ms (1.8%)

simplify130.0ms (2.9%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite80.0ms (1.8%)

simplify113.0ms (2.6%)

eval186.0ms (4.2%)

prune50.0ms (1.1%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite45.0ms (1%)

simplify9.0ms (0.2%)

eval14.0ms (0.3%)

prune9.0ms (0.2%)

regimes22.0ms (0.5%)

regimes18.0ms (0.4%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

simplify6.0ms (0.1%)

end46.0ms (1%)

Profiling