Details

analyze168.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	59.3%	15.7%	7
25%	51.5%	23.5%	8
25%	42.9%	32.1%	9
28.1%	26.9%	45%	10
31.6%	19.7%	48.7%	11
33.4%	10.4%	56.2%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample1.5s (19%)

Results

1.3s	8242×	body	64	valid
195.0ms	1017×	body	64	invalid
3.0ms	14×	body	128	valid

preprocess52.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

511×	`unsub-neg_binary64`
500×	`sub-neg_binary64`
421×	`fma-neg_binary64`
351×	`associate--l+_binary64`
339×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	350	74
3	1237	74
4	3107	66
5	5489	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 b)) (*.f64 (*.f64 a a) (+.f64 3 b))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 (hypot.f64 a b) 4)) -1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 b)) (.f64 (*.f64 a a) (+.f64 3 b))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (-.f64 1 b) (.f64 a (*.f64 a (+.f64 b 3))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (.f64 b (.f64 b (-.f64 1 b)))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (-.f64 (*.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 b (-.f64 b (.f64 b b)) (.f64 (*.f64 a a) (+.f64 b 3))) -1))

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
565×	`cancel-sign-sub-inv_binary64`
400×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
342×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	696	37
4	2292	33
5	4251	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))) 1))
(+.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

prune5.0ms (0.1%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Status

Error

Program

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

▶

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a 3)))) -1))

Compiler

Compiled 166 to 102 computations (38.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 b (+.f64 a 3))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.0b	(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
✓	0.2b	(.f64 b (.f64 b (+.f64 a 3)))

series19.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 b (.f64 b (+.f64 a 3)))
2.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
2.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
2.0ms	b	@	0	(*.f64 b (+.f64 a 3))
1.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

rewrite150.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
723×	`fma-def_binary64`
390×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	362	70
2	4967	70

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(.f64 b (.f64 b (+.f64 a 3)))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(*.f64 b (+.f64 a 3))

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/l*_binary64`
552×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
397×	`fma-neg_binary64`
374×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1525
1	384	1455
2	1296	1440
3	3851	1425

Stop Event

1×	node limit

Counts

264 → 222

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 3 b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (*.f64 a a))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (fma.f64 a (.f64 b b) (.f64 a a)) (neg.f64 (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 a (.f64 b b))) (pow.f64 a 3))
(.f64 a (-.f64 (+.f64 (.f64 b b) a) (*.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (fma.f64 a (.f64 b b) (.f64 a a)) (neg.f64 (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 a (.f64 b b))) (pow.f64 a 3))
(.f64 a (-.f64 (+.f64 (.f64 b b) a) (*.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (fma.f64 b (*.f64 b 12) -1))
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))))
(+.f64 (pow.f64 b 4) (fma.f64 (+.f64 3 a) (.f64 b (.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))) -1)
(+.f64 -1 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (fma.f64 (+.f64 3 a) (.f64 b (.f64 b 4)) -1)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(+.f64 (fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))))) -1)
(fma.f64 (pow.f64 a 3) -4 (+.f64 -1 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))))))
(+.f64 -1 (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (fma.f64 (+.f64 3 a) (.f64 b (.f64 b 4)) -1))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 a 4) (.f64 b b) (pow.f64 a 4))))
(+.f64 (.f64 b (.f64 a (.f64 4 b))) (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a (+.f64 -4 a)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 a 4) (.f64 b b) (pow.f64 a 4))))
(+.f64 (.f64 b (.f64 a (.f64 4 b))) (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a (+.f64 -4 a)))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (pow.f64 a 4)) -1)
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 a 4) -1))
(fma.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) 4 (+.f64 -1 (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (+.f64 (pow.f64 a 4) -1)))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) -1))
(+.f64 -1 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (pow.f64 b 4))))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (-.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (fma.f64 2 (.f64 (.f64 (.f64 a a) (+.f64 (/.f64 5/64 (pow.f64 a 6)) (neg.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6)))))) (pow.f64 b 8)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (+.f64 (fma.f64 2 (.f64 (-.f64 (/.f64 5/64 (pow.f64 a 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6)))) (.f64 (pow.f64 b 8) (.f64 a a))) (pow.f64 b 4)) (fma.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)))))
(+.f64 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 2 (.f64 a (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 (/.f64 1 (pow.f64 a 6)) 1/64)) (.f64 (pow.f64 b 8) a))) (pow.f64 b 4))) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) -1))
(+.f64 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 2 (.f64 a (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (/.f64 1/64 (pow.f64 a 6))) (.f64 (pow.f64 b 8) a))) (pow.f64 b 4))) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (pow.f64 b 4))))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (-.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (pow.f64 b 4))))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (-.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (pow.f64 b 4))))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (-.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (pow.f64 b 4))))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (-.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) -1))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 3 b)
(*.f64 b 3)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 b (+.f64 3 a))

prune1.2s (15.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	221	3	224

Error

0.0b

Counts

224 → 3

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
	0.2b	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

Status

Error

Program

▶

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

✓

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a 3)))) -1))

0.2b

(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

Compiler

Compiled 6816 to 3523 computations (48.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.3b	(.f64 (.f64 b b) (+.f64 3 a))

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	a	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	a	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	a	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`fma-def_binary64`
408×	`fma-neg_binary64`
315×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	390	53
2	5451	53

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(.f64 (.f64 b b) (+.f64 3 a))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
(.f64 (.f64 a a) (-.f64 1 a))
(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))

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

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-r_binary64`
639×	`distribute-rgt-out_binary64`
489×	`unswap-sqr_binary64`
431×	`distribute-rgt-neg-in_binary64`
378×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1315
1	131	1233
2	366	1154
3	1229	1140
4	2814	1140
5	5826	1140

Stop Event

1×	node limit

Counts

255 → 211

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b (*.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
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(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 (.f64 (*.f64 b b) a) 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 (.f64 (.f64 b b) a) 4))
(.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))
(.f64 b (.f64 b (fma.f64 a 4 12)))
(.f64 (.f64 b b) (fma.f64 a 4 12))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 (.f64 (*.f64 b b) a) 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 (.f64 (*.f64 b b) a) 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 (.f64 (*.f64 b b) a) 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))

prune1.3s (16.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	211	3	214

Error

0.0b

Counts

214 → 3

Alt Table

Status

Error

Program

✓

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

✓

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a 3)))) -1))

▶

0.2b

(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

Compiler

Compiled 7411 to 4017 computations (45.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 b a) 2)
✓	0.1b	(.f64 a (-.f64 a (.f64 a a)))
✓	0.1b	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a))))
✓	0.2b	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (hypot.f64 b a) 2)
1.0ms	b	@	0	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))
1.0ms	a	@	inf	(pow.f64 (hypot.f64 b a) 2)
1.0ms	b	@	inf	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))
1.0ms	b	@	-inf	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

rewrite88.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log-prod_binary64`
562×	`fma-def_binary64`
323×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	368	70
2	4638	70

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))
(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a))))
(.f64 a (-.f64 a (.f64 a a)))
(pow.f64 (hypot.f64 b a) 2)

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

490×	`+-commutative_binary64`
419×	`fma-neg_binary64`
378×	`associate-l_binary64`
363×	`associate-r_binary64`
294×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1565
1	516	1511
2	1785	1486
3	5781	1472

Stop Event

1×	node limit

Counts

230 → 206

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a 6)))) (pow.f64 b 8)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 b 6))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 b 6))) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)))) (pow.f64 a 8)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(pow.f64 a 2)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))))

Outputs
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (pow.f64 a 4)) -1)
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) -1)
(+.f64 (pow.f64 a 4) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4))) -1)
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (.f64 b b) (+.f64 (fma.f64 (.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) -1))
(fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (.f64 b b) (+.f64 (pow.f64 a 4) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) -1)))
(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (.f64 b b) (+.f64 (pow.f64 a 4) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) -1)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) -1)
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (.f64 b b) (+.f64 (fma.f64 (.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1)))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (-.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (*.f64 b b) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (fma.f64 2 (.f64 (.f64 a a) (.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))) (/.f64 5/64 (pow.f64 a 6))) (pow.f64 b 8))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))) -1)
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (.f64 b b) (+.f64 (+.f64 (fma.f64 2 (.f64 (-.f64 (/.f64 5/64 (pow.f64 a 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6)))) (.f64 (pow.f64 b 8) (.f64 a a))) (pow.f64 b 4)) (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4))) -1))
(fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (.f64 b b) (+.f64 (fma.f64 2 (.f64 a (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 (/.f64 1 (pow.f64 a 6)) 1/64)) (.f64 (pow.f64 b 8) a))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) -1)))
(+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (.f64 b b) (+.f64 (pow.f64 a 4) (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 b 4)))) (fma.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 a (.f64 (*.f64 a 2) (pow.f64 b 8))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) -1)
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (.f64 b b) (+.f64 (fma.f64 (.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1)))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (-.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (*.f64 b b) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))) -1)
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (.f64 b b) (+.f64 (fma.f64 (.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) (+.f64 (pow.f64 b 4) -1)))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (-.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (*.f64 b b) (pow.f64 b 4)) 1))
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (fma.f64 4 (+.f64 a 3) (.f64 a (.f64 a 2))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (+.f64 12 (.f64 a (+.f64 4 (.f64 a 2)))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
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(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 6) (pow.f64 b 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -1/4 (/.f64 (pow.f64 a 4) (pow.f64 b 2))))))))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 b 6))) (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 b 6))) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)))) (pow.f64 a 8)) (+.f64 (pow.f64 b 2) (pow.f64 a 2)))
(fma.f64 (+.f64 (/.f64 5/64 (pow.f64 b 6)) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 b 6)) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)))) (pow.f64 a 8) (+.f64 (.f64 a a) (.f64 b b)))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 b 6)) (+.f64 (/.f64 1/16 (pow.f64 b 6)) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2))) (pow.f64 a 8) (fma.f64 a a (*.f64 b b)))
(fma.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 b 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)) (pow.f64 a 8) (fma.f64 b b (.f64 a a)))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (+.f64 (.f64 a a) (.f64 b b))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 a a (*.f64 b b))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 b b (*.f64 a a))))))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4))) (+.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (+.f64 (.f64 a a) (.f64 b b))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 a a (*.f64 b b))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 -1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a)) (fma.f64 1/8 (/.f64 (pow.f64 b 6) (pow.f64 a 4)) (fma.f64 b b (*.f64 a a))))))

prune1.3s (16.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	262	1	263
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	262	4	266

Error

Counts

266 → 4

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.2b	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

Compiler

Compiled 9130 to 4887 computations (46.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 a (+.f64 (.f64 a 2) 4))
✓	0.0b	(-.f64 a (*.f64 a a))
✓	0.0b	(fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4))
✓	1.1b	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
1.0ms	a	@	0	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
1.0ms	b	@	0	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
1.0ms	a	@	-inf	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
1.0ms	b	@	-inf	(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`fma-def_binary64`
366×	`fma-neg_binary64`
332×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
278×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	407	51
2	5299	51

Stop Event

1×	node limit

Counts

4 → 210

Calls

Call 1

Inputs
(fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4))
(-.f64 a (*.f64 a a))
(.f64 a (+.f64 (.f64 a 2) 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 4) (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) 1) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (+.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (fma.f64 a 2 4) 12)) b)) (hypot.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (fma.f64 a 2 4) 12)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) 3) (pow.f64 (pow.f64 b 4) 3)) (fma.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (-.f64 (pow.f64 b 8) (.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)) (neg.f64 (pow.f64 b 8))) (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (neg.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (fma.f64 a 2 4) 12)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 b 4)) (exp.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (exp.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 a (fma.f64 a 2 4) 12) (*.f64 b b) (pow.f64 b 4))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a 4) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (.f64 a 2)) 1) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (fma.f64 a 2 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (.f64 a 2)) 3) (pow.f64 (.f64 a 4) 3)) (fma.f64 (.f64 a (.f64 a 2)) (.f64 a (.f64 a 2)) (-.f64 (pow.f64 (.f64 a 4) 2) (.f64 (.f64 a (.f64 a 2)) (.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 a (.f64 a 2)) (.f64 a (.f64 a 2)) (neg.f64 (pow.f64 (.f64 a 4) 2))) (fma.f64 a (.f64 a 2) (neg.f64 (.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 8 (pow.f64 a 3) 64) a) (-.f64 (fma.f64 4 (.f64 a a) 16) (.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 4 (.f64 a a) -16) a) (fma.f64 a 2 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (fma.f64 8 (pow.f64 a 3) 64)) (-.f64 (fma.f64 4 (.f64 a a) 16) (.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (fma.f64 4 (.f64 a a) -16)) (fma.f64 a 2 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (fma.f64 a 2 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (fma.f64 a 2 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (fma.f64 a 2 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (fma.f64 a 2 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (fma.f64 a 2 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a 4)) (exp.f64 (.f64 a (.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a 4))) (exp.f64 (.f64 a (.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a (.f64 a 2))) (+.f64 1 (expm1.f64 (.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (fma.f64 a 2 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 a 2 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 a 2) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 4 (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 a a) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a 2) a (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 a (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a 4) 1 (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 2 (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a 4) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) 4) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a 4)) (pow.f64 (cbrt.f64 (.f64 a 4)) 2) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a 4)) 2) (cbrt.f64 (.f64 a 4)) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a 2)) 2) (.f64 (cbrt.f64 (.f64 a 2)) a) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) 4) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 a)) (.f64 2 (sqrt.f64 a)) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a 2)) (.f64 (sqrt.f64 (.f64 a 2)) a) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (.f64 a 2)) 1 (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 a (.f64 a 2))) (cbrt.f64 (.f64 a (.f64 a 2)))) (cbrt.f64 (.f64 a (.f64 a 2))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (.f64 a 2))) (sqrt.f64 (.f64 a (.f64 a 2))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 a 2)) (sqrt.f64 a)) (.f64 (sqrt.f64 (.f64 a 2)) (sqrt.f64 a)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 a 2))) (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 a 2))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (sqrt.f64 a)) (sqrt.f64 a) (.f64 a (.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a 2) (sqrt.f64 a)) (sqrt.f64 a) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 (.f64 a 2)) 2)) (cbrt.f64 (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (.f64 a 2))) (sqrt.f64 (.f64 a 2)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a 2 4))))))))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
651×	`associate-l_binary64`
551×	`unswap-sqr_binary64`
490×	`distribute-rgt-out_binary64`
443×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1002
1	113	912
2	309	706
3	1053	690
4	4069	690
5	6592	690
6	7434	690

Stop Event

1×	node limit

Counts

270 → 242

Calls

Call 1

Inputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 4 a)
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(*.f64 2 (pow.f64 a 2))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(*.f64 2 (pow.f64 a 2))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))

Outputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))))
(.f64 (.f64 b b) (+.f64 12 (fma.f64 b b (*.f64 4 a))))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 4 a 12))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
(.f64 b (.f64 b (.f64 a (.f64 2 a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 b (.f64 b (*.f64 a (fma.f64 2 a 4))))
(.f64 b (.f64 (fma.f64 2 a 4) (*.f64 b a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
(.f64 b (.f64 b (.f64 a (.f64 2 a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 b (.f64 b (*.f64 a (fma.f64 2 a 4))))
(.f64 b (.f64 (fma.f64 2 a 4) (*.f64 b a)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))))
(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a))))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 (.f64 a (.f64 2 a)) 12)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 2 a 4) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a (fma.f64 2 a 4) (fma.f64 b b 12)))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(fma.f64 -1 (*.f64 a a) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 4 a)
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(*.f64 2 (pow.f64 a 2))
(.f64 2 (.f64 a a))
(.f64 a (.f64 2 a))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(*.f64 2 (pow.f64 a 2))
(.f64 2 (.f64 a a))
(.f64 a (.f64 2 a))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))
(+.f64 (.f64 4 a) (.f64 2 (pow.f64 a 2)))
(fma.f64 4 a (.f64 2 (.f64 a a)))
(*.f64 a (fma.f64 2 a 4))

prune1.3s (16.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	242	4	246

Error

Counts

246 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.2b	(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))

Compiler

Compiled 9081 to 5638 computations (37.9% saved)

regimes19.0ms (0.2%)

Accuracy

Total -0.2b remaining (-938.1%)

Threshold costs -0.2b (-938.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))
(fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))

Results

3.0ms	0.0b	`a`
4.0ms	0.0b	`b`
2.0ms	0.0b	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
3.0ms	0.0b	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
3.0ms	0.0b	`(*.f64 b b)`

Compiler

Compiled 184 to 107 computations (41.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-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	21	45
1	33	45
2	40	45
3	44	45
4	46	45

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 (.f64 4 a) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (.f64 a (+.f64 (.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))

Outputs

(+.f64 (fma.f64 (*.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (*.f64 a (+.f64 (*.f64 a 2) 4))) (*.f64 b b) (pow.f64 b 4)) -1))

(+.f64 (fma.f64 (*.f64 4 a) (-.f64 a (*.f64 a a)) (pow.f64 a 4)) (+.f64 (fma.f64 (+.f64 12 (*.f64 a (+.f64 4 (*.f64 a 2)))) (*.f64 b b) (pow.f64 b 4)) -1))

end23.0ms (0.3%)

Stop Event

1×

done

Compiler

Compiled 66 to 46 computations (30.3% saved)

Details

analyze168.0ms (2.1%)

sample1.5s (19%)

preprocess52.0ms (0.7%)

simplify71.0ms (0.9%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

series19.0ms (0.2%)

rewrite150.0ms (1.9%)

simplify61.0ms (0.8%)

prune1.2s (15.6%)

localize14.0ms (0.2%)

series11.0ms (0.1%)

rewrite92.0ms (1.2%)

simplify126.0ms (1.6%)

prune1.3s (16.2%)

localize16.0ms (0.2%)

series11.0ms (0.1%)

rewrite88.0ms (1.1%)

simplify69.0ms (0.9%)

prune1.3s (16.9%)

localize17.0ms (0.2%)

series9.0ms (0.1%)

rewrite96.0ms (1.2%)

simplify80.0ms (1%)

prune1.3s (16.9%)

regimes19.0ms (0.2%)

simplify3.0ms (0%)

end23.0ms (0.3%)

Profiling