Details

analyze334.0ms (8.5%)

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%	62.4%	12.6%	7
25%	53.1%	22%	8
25%	44.5%	30.5%	9
28.1%	27.7%	44.2%	10
31.6%	20.1%	48.3%	11
33.4%	10.5%	56.1%	12
35.2%	7.7%	57.1%	13
36.1%	5.2%	58.6%	14

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample1.4s (34.6%)

Results

1.3s	8256×	body	128	valid
79.0ms	521×	body	128	invalid

Compiler

Compiled 68 to 44 computations (35.3% saved)

preprocess37.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

473×	`fma-neg_binary64`
434×	`associate-+l+_binary64`
393×	`associate-l_binary64`
373×	`associate-+r+_binary64`
313×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	111	80
2	348	72
3	1374	72
4	4082	64
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 1 (*.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 1 (*.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 1 (.f64 3 a)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 b (.f64 b (+.f64 1 (.f64 a -3))) (.f64 a (*.f64 a (+.f64 a 1)))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (*.f64 b b) (fma.f64 a -3 1))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) -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 1 (.f64 3 b)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (+.f64 b 1) (.f64 (.f64 a a) (+.f64 1 (.f64 -3 b))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (+.f64 1 (.f64 b -3)) (+.f64 (.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (fma.f64 b -3 1) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (.f64 b (fma.f64 b b b))) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-def_binary64`
312×	`+-commutative_binary64`
277×	`fma-neg_binary64`
232×	`associate-+l+_binary64`
211×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	742	36
4	2867	32
5	4882	32

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

▶

0.0b

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

Compiler

Compiled 172 to 109 computations (36.6% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series22.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1))
2.0ms	b	@	0	(fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1))))
2.0ms	a	@	-inf	(fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1))))
2.0ms	b	@	0	(.f64 b (.f64 b (fma.f64 a -3 1)))
1.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1))

rewrite75.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`prod-diff_binary64`
160×	`add-sqr-sqrt_binary64`
155×	`pow1_binary64`
153×	`*-un-lft-identity_binary64`
150×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	329	70
2	3926	70

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

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

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

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

975×	`fma-def_binary64`
345×	`+-commutative_binary64`
314×	`associate-l_binary64`
283×	`associate-r_binary64`
268×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1768
1	369	1478
2	1288	1419
3	4828	1414

Stop Event

1×	node limit

Counts

188 → 145

Calls

Call 1

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

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

prune199.0ms (5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Error

Counts

147 → 5

Alt Table

Status	Error	Program
	12.8b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1)))
	12.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (*.f64 b (fma.f64 a -3 1)))) -1))))
	10.8b	(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 b 4)) (fma.f64 b (*.f64 b (fma.f64 a -12 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 1 (.f64 3 a)))))) 1)
▶	0.1b	(+.f64 (fma.f64 a (.f64 (fma.f64 a a a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))

Compiler

Compiled 4651 to 2756 computations (40.7% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a -12 4)
✓	0.0b	(fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))
✓	0.0b	(fma.f64 a (*.f64 (fma.f64 a a a) 4) (pow.f64 a 4))
✓	0.1b	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)

series7.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)
1.0ms	b	@	0	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)
1.0ms	a	@	0	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)
1.0ms	a	@	-inf	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)
1.0ms	b	@	inf	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`prod-diff_binary64`
284×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
160×	`pow1_binary64`
159×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	341	55
2	3820	55

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-neg_binary64`
551×	`unswap-sqr_binary64`
545×	`associate-l_binary64`
390×	`associate-r_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	872
1	112	812
2	304	736
3	1153	736
4	3629	736

Stop Event

1×	node limit

Counts

153 → 130

Calls

Call 1

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

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

prune215.0ms (5.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Error

Counts

135 → 5

Alt Table

Status	Error	Program
	12.8b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1)))
	12.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (*.f64 b (fma.f64 a -3 1)))) -1))))
▶	1.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 4 a)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))
	10.8b	(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 b 4)) (fma.f64 b (*.f64 b (fma.f64 a -12 4)) -1))
✓	0.1b	(+.f64 (fma.f64 a (.f64 (fma.f64 a a a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))

Compiler

Compiled 4616 to 2650 computations (42.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 a -12 4)
	0.0b	(fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))
✓	0.1b	(*.f64 (pow.f64 a 3) (+.f64 4 a))
	0.1b	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 a 2) (fma.f64 a -12 4))) -1)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (pow.f64 a 3) (+.f64 4 a))
1.0ms	a	@	-inf	(*.f64 (pow.f64 a 3) (+.f64 4 a))
0.0ms	a	@	inf	(*.f64 (pow.f64 a 3) (+.f64 4 a))

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`pow1_binary64`
719×	`log1p-expm1-u_binary64`
719×	`expm1-log1p-u_binary64`
75×	`add-sqr-sqrt_binary64`
74×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1982	10

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 3) (+.f64 4 a))

Outputs

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

595×	`sqr-pow_binary64`
528×	`fma-def_binary64`
330×	`unswap-sqr_binary64`
290×	`*-commutative_binary64`
258×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	22	114
2	48	114
3	101	105
4	236	105
5	864	105
6	1965	105
7	2378	105
8	2538	105
9	2720	105
10	2960	105
11	3271	105
12	3657	105
13	4138	105
14	4765	105

Stop Event

1×	node limit

Counts

38 → 30

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 3))
(+.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 a 4))
(+.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 3)) (pow.f64 a 4))
(+.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 3)) (pow.f64 a 4))
(+.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 a 4))

Outputs
(*.f64 4 (pow.f64 a 3))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.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))
(*.f64 (pow.f64 a 3) (+.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.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))
(*.f64 (pow.f64 a 3) (+.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(+.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 a 4))
(*.f64 (pow.f64 a 3) (+.f64 4 a))

prune201.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Error

Counts

133 → 5

Alt Table

Status	Error	Program
	12.8b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1)))
	12.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (*.f64 b (fma.f64 a -3 1)))) -1))))
✓	1.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 4 a)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))
▶	10.8b	(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 b 4)) (fma.f64 b (*.f64 b (fma.f64 a -12 4)) -1))
✓	0.1b	(+.f64 (fma.f64 a (.f64 (fma.f64 a a a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))

Compiler

Compiled 4032 to 2609 computations (35.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 b 4)) (fma.f64 b (*.f64 b (fma.f64 a -12 4)) -1))
✓	0.0b	(fma.f64 b (*.f64 b (fma.f64 a -12 4)) -1)
✓	0.1b	(.f64 a (fma.f64 b (.f64 b 2) 4))
✓	0.1b	(*.f64 b (fma.f64 a -12 4))

series17.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

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

rewrite74.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`prod-diff_binary64`
164×	`add-sqr-sqrt_binary64`
159×	`pow1_binary64`
158×	`*-un-lft-identity_binary64`
154×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	333	63
2	4026	63

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

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

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-neg_binary64`
445×	`associate-l_binary64`
384×	`associate-+l+_binary64`
332×	`associate-+r+_binary64`
302×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	1454
1	159	1318
2	389	1282
3	1325	1282
4	3809	1282

Stop Event

1×	node limit

Counts

188 → 133

Calls

Call 1

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

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

prune186.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Status	Error	Program
	12.8b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1)))
	12.9b	(.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a -3 1)))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 b (*.f64 b (fma.f64 a -3 1)))) -1))))
✓	1.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 4 a)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))
✓	10.8b	(+.f64 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (pow.f64 b 4)) (fma.f64 b (*.f64 b (fma.f64 a -12 4)) -1))
✓	0.1b	(+.f64 (fma.f64 a (.f64 (fma.f64 a a a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a 2) (fma.f64 a -12 4))) -1))

Compiler

Compiled 4018 to 2757 computations (31.4% saved)

regimes629.0ms (16%)

Accuracy

Total 0.0b remaining (77%)

Threshold costs 0.0b (77%)

Counts

189 → 1

Compiler

Compiled 4677 to 2738 computations (41.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	20	33

Stop Event

1×

saturated

Calls

Call 1

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

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

end155.0ms (3.9%)

Stop Event

1×

fuel

Compiler

Compiled 239 to 152 computations (36.4% saved)

Details

analyze334.0ms (8.5%)

sample1.4s (34.6%)

preprocess37.0ms (0.9%)

simplify30.0ms (0.8%)

prune5.0ms (0.1%)

localize14.0ms (0.4%)

series22.0ms (0.5%)

rewrite75.0ms (1.9%)

simplify56.0ms (1.4%)

prune199.0ms (5%)

localize18.0ms (0.5%)

series7.0ms (0.2%)

rewrite64.0ms (1.6%)

simplify42.0ms (1.1%)

prune215.0ms (5.5%)

localize15.0ms (0.4%)

series2.0ms (0%)

rewrite38.0ms (1%)

simplify67.0ms (1.7%)

prune201.0ms (5.1%)

localize16.0ms (0.4%)

series17.0ms (0.4%)

rewrite74.0ms (1.9%)

simplify59.0ms (1.5%)

prune186.0ms (4.7%)

regimes629.0ms (16%)

simplify2.0ms (0.1%)

end155.0ms (3.9%)

Profiling