Details

analyze9.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.9s (39%)

Results

1.9s	8256×	body	256	valid
3.0ms	7×	body	256	invalid

preprocess78.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	89	27
3	238	27
4	711	27
5	1689	25
6	2917	25
7	5200	25
8	7541	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) -1/4)))
▶	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 38 to 29 computations (23.7% saved)

localize27.0ms (0.6%)

Compiler: Compiled 61 to 45 computations (26.2% saved)

localize66.0ms (1.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 72 to 48 computations (33.3% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite114.0ms (2.3%)

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	56
1	331	46
2	4109	42

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

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

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((#(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))))))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-def_binary64`
630×	`associate-l_binary64`
557×	`associate-r_binary64`
544×	`associate-/l/_binary64`
266×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1091
1	406	1067
2	1440	978
3	6361	978

Stop Event

1×	node limit

Counts

147 → 158

Calls

Call 1

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

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

eval247.0ms (5%)

Compiler: Compiled 4115 to 3040 computations (26.1% saved)

prune20.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	156	4	160

Error

Counts

160 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(*.f64 1/4 (sqrt.f64 2))
▶	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	0b	(sqrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)))
▶	0.2b	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 68 to 41 computations (39.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(pow.f64 (-.f64 1 (*.f64 v v)) 2)
0.0ms	v	@	inf	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	inf	(pow.f64 (-.f64 1 (*.f64 v v)) 2)
0.0ms	v	@	0	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))
0.0ms	v	@	-inf	(.f64 (pow.f64 (-.f64 1 (.f64 v v)) 2) (.f64 (fma.f64 (.f64 v v) -3 1) 1/8))

rewrite100.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
383×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
289×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	254	33
2	2884	33

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

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

simplify214.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1810×	`fma-def_binary64`
726×	`sqr-pow_binary64`
405×	`*-commutative_binary64`
340×	`distribute-lft-out_binary64`
328×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	323
1	73	303
2	151	285
3	402	285
4	1351	285
5	3259	285
6	3852	285
7	4082	285
8	4276	285
9	4527	285
10	4842	285
11	6230	285
12	6669	285
13	7167	285
14	7768	285

Stop Event

1×	node limit

Counts

98 → 96

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (.f64 -2 (.f64 v v)))
(fma.f64 -2 (*.f64 v v) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 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 v (fma.f64 -2 v (pow.f64 v 3)))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 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 v (fma.f64 -2 v (pow.f64 v 3)))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (+.f64 1 (.f64 -2 (.f64 v v))) (pow.f64 v 4))
(+.f64 1 (fma.f64 -2 (*.f64 v v) (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (fma.f64 -2 v (pow.f64 v 3)) 1)
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(fma.f64 -5/8 (*.f64 v v) 1/8)
(fma.f64 (*.f64 v v) -5/8 1/8)
(fma.f64 v (*.f64 v -5/8) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (.f64 (pow.f64 v 4) 7/8))
(fma.f64 (*.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 1/8))
(fma.f64 (pow.f64 v 4) 7/8 (fma.f64 (*.f64 v v) -5/8 1/8))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8)
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 (pow.f64 v 4) 7/8))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 -3/8 (pow.f64 v 6) (.f64 (pow.f64 v 4) 7/8)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 -3/8 (pow.f64 v 5) (.f64 v -5/8))))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 v -5/8 (.f64 -3/8 (pow.f64 v 5)))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 (pow.f64 v 4) 7/8))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 (.f64 v v) -5/8 (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (.f64 v -5/8) (fma.f64 -3/8 (pow.f64 v 6) (.f64 (pow.f64 v 4) 7/8)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 -3/8 (pow.f64 v 5) (.f64 v -5/8))))
(fma.f64 (pow.f64 v 4) 7/8 (.f64 v (fma.f64 v -5/8 (.f64 -3/8 (pow.f64 v 5)))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(+.f64 (fma.f64 (.f64 v v) -5/8 1/8) (fma.f64 (pow.f64 v 4) 7/8 (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 v (*.f64 v -5/8) (fma.f64 (pow.f64 v 4) 7/8 (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) 1/8))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 v -5/8)) (fma.f64 (pow.f64 v 4) 7/8 1/8))

localize8.0ms (0.2%)

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

localize37.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

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

1.0ms

-inf

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

rewrite94.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	230	22
2	2693	22

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(.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 (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))))))))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
565×	`fma-neg_binary64`
496×	`distribute-rgt-out_binary64`
408×	`cancel-sign-sub-inv_binary64`
326×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	546
1	283	528
2	1082	470
3	5085	434

Stop Event

1×	node limit

Counts

66 → 77

Calls

Call 1

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

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

localize37.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 54 to 33 computations (38.9% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
1.0ms	v	@	inf	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -3/8)))
1.0ms	v	@	0	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))
1.0ms	v	@	0	(.f64 (.f64 v v) -3/8)
1.0ms	v	@	inf	(.f64 (.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (.f64 v v) -3/8))) (-.f64 1 (*.f64 v v)))

rewrite138.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`log-prod_binary64`
510×	`prod-diff_binary64`
341×	`pow2_binary64`
311×	`fma-def_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	288	42
2	3669	42

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/512 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -27/512 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -3/8)) 1))))))

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

simplify201.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	552
1	57	552
2	127	498
3	330	444
4	1146	432
5	2066	432
6	2696	432
7	2805	432
8	2913	432
9	3045	432
10	3238	432
11	3481	432
12	4915	432
13	5420	432
14	6094	432
15	6843	432
16	7778	432

Stop Event

1×	node limit

Counts

173 → 153

Calls

Call 1

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

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

eval231.0ms (4.7%)

Compiler: Compiled 7589 to 5476 computations (27.8% saved)

prune204.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	326	4	330

Error

Counts

330 → 4

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))
▶	0.3b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
▶	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)))

Compiler

Compiled 52 to 37 computations (28.8% saved)

localize2.0ms (0%)

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

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 79 to 43 computations (45.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
429×	`prod-exp_binary64`
375×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	232	33
2	2781	33

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

simplify141.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1810×	`fma-def_binary64`
726×	`sqr-pow_binary64`
411×	`*-commutative_binary64`
340×	`distribute-lft-out_binary64`
328×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	323
1	73	303
2	151	285
3	403	285
4	1356	285
5	3270	285
6	3863	285
7	4093	285
8	4287	285
9	4538	285
10	4853	285
11	6240	285
12	6680	285
13	7176	285
14	7783	285

Stop Event

1×	node limit

Counts

121 → 119

Calls

Call 1

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

Outputs
1/8
(+.f64 (*.f64 -5/8 (pow.f64 v 2)) 1/8)
(fma.f64 -5/8 (*.f64 v v) 1/8)
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(fma.f64 -5/8 (.f64 v v) (+.f64 1/8 (.f64 7/8 (pow.f64 v 4))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) 1/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 1/8 (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) 1/8)))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 -5/8 v)) (fma.f64 7/8 (pow.f64 v 4) 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 7/8 (pow.f64 v 4)))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 -3/8 (pow.f64 v 6) (.f64 7/8 (pow.f64 v 4))))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(.f64 (.f64 v v) (fma.f64 (pow.f64 v 4) -3/8 (fma.f64 v (*.f64 v 7/8) -5/8)))
(.f64 v (fma.f64 v (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 5))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) 1/8)))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 -5/8 v)) (fma.f64 7/8 (pow.f64 v 4) 1/8))
(*.f64 -3/8 (pow.f64 v 6))
(+.f64 (.f64 7/8 (pow.f64 v 4)) (.f64 -3/8 (pow.f64 v 6)))
(fma.f64 7/8 (pow.f64 v 4) (*.f64 -3/8 (pow.f64 v 6)))
(fma.f64 -3/8 (pow.f64 v 6) (*.f64 7/8 (pow.f64 v 4)))
(.f64 (pow.f64 v 4) (fma.f64 (.f64 v v) -3/8 7/8))
(+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (.f64 v v) (fma.f64 -3/8 (pow.f64 v 6) (.f64 7/8 (pow.f64 v 4))))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 6)))
(.f64 (.f64 v v) (fma.f64 (pow.f64 v 4) -3/8 (fma.f64 v (*.f64 v 7/8) -5/8)))
(.f64 v (fma.f64 v (fma.f64 v (.f64 v 7/8) -5/8) (*.f64 -3/8 (pow.f64 v 5))))
(+.f64 1/8 (+.f64 (.f64 -5/8 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -3/8 (pow.f64 v 6)))))
(+.f64 (fma.f64 -5/8 (.f64 v v) 1/8) (fma.f64 7/8 (pow.f64 v 4) (.f64 -3/8 (pow.f64 v 6))))
(fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) (fma.f64 -3/8 (pow.f64 v 6) 1/8)))
(fma.f64 -3/8 (pow.f64 v 6) (fma.f64 -5/8 (*.f64 v v) (fma.f64 7/8 (pow.f64 v 4) 1/8)))
(fma.f64 v (fma.f64 -3/8 (pow.f64 v 5) (*.f64 -5/8 v)) (fma.f64 7/8 (pow.f64 v 4) 1/8))
1
(+.f64 1 (*.f64 -2 (pow.f64 v 2)))
(+.f64 1 (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 1)
(fma.f64 v (*.f64 v -2) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)
(+.f64 (pow.f64 v 4) (+.f64 1 (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 (pow.f64 v 4))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)
(pow.f64 v 4)
(+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2)))
(+.f64 (pow.f64 v 4) (.f64 (.f64 v v) -2))
(fma.f64 (*.f64 v v) -2 (pow.f64 v 4))
(.f64 v (.f64 v (fma.f64 v v -2)))
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)
(+.f64 1 (+.f64 (pow.f64 v 4) (*.f64 -2 (pow.f64 v 2))))
(+.f64 (pow.f64 v 4) (+.f64 1 (.f64 (.f64 v v) -2)))
(+.f64 1 (fma.f64 (*.f64 v v) -2 (pow.f64 v 4)))
(fma.f64 (*.f64 v v) (fma.f64 v v -2) 1)
(fma.f64 v (*.f64 v (fma.f64 v v -2)) 1)

localize19.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 v v) -5/2)

Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(.f64 (.f64 v v) -5/2)
0.0ms	v	@	inf	(.f64 (.f64 v v) -5/2)
0.0ms	v	@	-inf	(.f64 (.f64 v v) -5/2)

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
410×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (.f64 v v) -5/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 v (*.f64 v -5/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -7/2)))))))

simplify174.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

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))

Outputs
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 -5/2 (.f64 v v))
(.f64 v (.f64 -5/2 v))

eval247.0ms (5%)

Compiler: Compiled 2920 to 1901 computations (34.9% saved)

prune18.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	135	4	139

Error

Counts

139 → 4

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))
✓	0.3b	(sqrt.f64 1/8)
✓	0.0b	(.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 v v) -3 1) 1/8)) (-.f64 1 (.f64 v v)))
✓	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)))

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes18.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(.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
0b	1	`v`
0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0b	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
0b	1	`(*.f64 v v)`

Compiler

Compiled 168 to 116 computations (31% saved)

regimes14.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

5.0ms	v
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 v v)
2.0ms	(.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 113 to 80 computations (29.2% saved)

regimes10.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	v
4.0ms	(*.f64 v v)

Results

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

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.3b	1	`v`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-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	19	71
1	32	71
2	39	71
3	43	71
4	45	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

soundness0.0ms (0%)

end103.0ms (2.1%)

Compiler: Compiled 49 to 32 computations (34.7% saved)

Details

analyze9.0ms (0.2%)

sample1.9s (39%)

preprocess78.0ms (1.6%)

simplify71.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0.6%)

localize66.0ms (1.3%)

series8.0ms (0.2%)

rewrite114.0ms (2.3%)

simplify74.0ms (1.5%)

eval247.0ms (5%)

prune20.0ms (0.4%)

localize25.0ms (0.5%)

series3.0ms (0.1%)

rewrite100.0ms (2%)

simplify214.0ms (4.3%)

localize8.0ms (0.2%)

localize37.0ms (0.8%)

series5.0ms (0.1%)

rewrite94.0ms (1.9%)

simplify65.0ms (1.3%)

localize37.0ms (0.7%)

series8.0ms (0.2%)

rewrite138.0ms (2.8%)

simplify201.0ms (4.1%)

eval231.0ms (4.7%)

prune204.0ms (4.1%)

localize2.0ms (0%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite76.0ms (1.5%)

simplify141.0ms (2.9%)

localize19.0ms (0.4%)

series1.0ms (0%)

rewrite65.0ms (1.3%)

simplify174.0ms (3.5%)

eval247.0ms (5%)

prune18.0ms (0.4%)

regimes18.0ms (0.4%)

regimes14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end103.0ms (2.1%)

Profiling