Details

analyze228.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	7
32%	25%	53.1%	0.1%	21.9%	0%	0%	8
36%	25%	44.5%	0.1%	30.4%	0%	0%	9
50.3%	28.1%	27.7%	0.1%	44.1%	0%	0%	10
61.1%	31.6%	20.1%	0.1%	48.2%	0%	0%	11
76%	33.4%	10.5%	0.1%	56%	0%	0%	12

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample3.0s (22.3%)

Results

2.8s	8256×	body	256	valid
221.0ms	1088×	body	256	infinite

Bogosity

preprocess76.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

477×	`sub-neg_binary64`
473×	`fma-neg_binary64`
432×	`associate-+l+_binary64`
424×	`distribute-rgt-in_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	111	80
2	348	72
3	1372	72
4	4090	64
5	7361	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 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 b (.f64 b (+.f64 1 (.f64 a -3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (pow.f64 (hypot.f64 a b) 4)) -1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 1 b)) (.f64 (.f64 a a) (-.f64 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 35 to 23 computations (34.3% saved)

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	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 (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.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 a (fma.f64 b (.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))

eval1.0ms (0%)

Compiler: Compiled 56 to 36 computations (35.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 59 computations (37.9% saved)

series48.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
31.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
2.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
2.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
1.0ms	a	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
1.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)

rewrite206.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`prod-diff_binary64`
680×	`log-prod_binary64`
340×	`fma-def_binary64`
281×	`log1p-udef_binary64`
280×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	354	52
2	4045	52

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (fma.f64 a -3 1)))))) (#(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 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a -3 1)) b)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a -3 1)) b)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a -3 1)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a -3 1)) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a -3 1)) 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 expm1.f64 (log1p.f64 (.f64 b (fma.f64 a -3 1))))))) (#(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 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 fma.f64 b (.f64 a -3) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a -3) b b)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 b a) 8) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))) (/.f64 (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 2) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 3)) (/.f64 1 (fma.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (-.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (hypot.f64 b a) 8) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (-.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)) (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1)) (-.f64 (pow.f64 (hypot.f64 b a) 8) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 3)) (fma.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (-.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1) 3)) (+.f64 (pow.f64 (fma.f64 4 (fma.f64 a a 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simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-l_binary64`
595×	`+-commutative_binary64`
591×	`associate-r_binary64`
363×	`fma-neg_binary64`
343×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1827
1	581	1674
2	2189	1532
3	7202	1525

Stop Event

1×	node limit

Counts

205 → 179

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

Outputs
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 (+.f64 1 (.f64 -3 a)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 (+.f64 1 (.f64 -3 a)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 (+.f64 1 (.f64 -3 a)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 (+.f64 1 (.f64 -3 a)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 b (+.f64 (.f64 -3 a) 1))
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
b
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 -3 (.f64 a b))
(.f64 -3 (.f64 b a))
(.f64 a (.f64 -3 b))
(.f64 a (.f64 b -3))
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(.f64 -3 (.f64 a b))
(.f64 -3 (.f64 b a))
(.f64 a (.f64 -3 b))
(.f64 a (.f64 b -3))
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) b)
(+.f64 (.f64 -3 (.f64 a b)) b)
(*.f64 b (fma.f64 -3 a 1))
(fma.f64 b (*.f64 -3 a) 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 (pow.f64 b 4) (fma.f64 b (*.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 (fma.f64 -12 (.f64 a (.f64 b b)) (fma.f64 4 (*.f64 b b) (pow.f64 b 4))) -1)
(+.f64 (fma.f64 -12 (.f64 b (.f64 b a)) (fma.f64 4 (*.f64 b b) (pow.f64 b 4))) -1)
(+.f64 (pow.f64 b 4) (-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 a -12))) 1))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (+.f64 4 (.f64 a -12)) -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 -12 (.f64 b (.f64 b a)) (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 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 4 (.f64 a -12)))) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) -1))
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 b 4)) (fma.f64 (.f64 b b) (+.f64 4 (.f64 a -12)) -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 -12 (.f64 b (.f64 b a)) (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 (+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 b 4)) (.f64 (.f64 b b) (+.f64 4 (*.f64 a -12)))) (fma.f64 4 (pow.f64 a 3) -1))
(+.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a 4))) (+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (+.f64 4 (.f64 a -12)) -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))
(*.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)))
(+.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 -12 (.f64 b (.f64 b a)) (fma.f64 4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (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 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)))
(+.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 -12 (.f64 b (.f64 b a)) (fma.f64 4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))))
(-.f64 (+.f64 (*.f64 4 (+.f64 (pow.f64 a 3) (pow.f64 a 2))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (+.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)) -1)
(+.f64 (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (pow.f64 a 4)) -1)
(+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))
(-.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 a 3) (pow.f64 a 2))) (+.f64 (.f64 (+.f64 (.f64 4 (+.f64 (.f64 -3 a) 1)) (*.f64 2 (pow.f64 a 2))) (pow.f64 b 2)) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 4 (+.f64 (.f64 a a) (pow.f64 a 3)) (fma.f64 (fma.f64 4 (fma.f64 -3 a 1) (.f64 2 (.f64 a a))) (.f64 b b) (pow.f64 a 4))) -1)
(fma.f64 4 (fma.f64 a a (pow.f64 a 3)) (+.f64 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 4 (*.f64 a -12))) (pow.f64 a 4)) -1))
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(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 8) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a 6))))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 b 8) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))) (/.f64 5/64 (pow.f64 a 6))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 (.f64 a (.f64 a 2)) (+.f64 (.f64 b b) (*.f64 (pow.f64 b 8) (-.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 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a (.f64 a 2)) (+.f64 (.f64 b b) (.f64 (pow.f64 b 8) (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)))))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/2 (pow.f64 a 4) (fma.f64 -1/2 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (pow.f64 a 4) 0) (/.f64 (.f64 b b) (*.f64 a a)))))))))))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (/.f64 0 (.f64 b b)) (.f64 a a))) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)))) 0))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 b 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (*.f64 b b)) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/2 (pow.f64 a 4) (fma.f64 -1/2 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (pow.f64 a 4) 0) (/.f64 (.f64 b b) (*.f64 a a)))))))))))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (/.f64 0 (.f64 b b)) (.f64 a a))) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)))) 0))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 b 4)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (*.f64 b b)) (pow.f64 a 4))))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 153 to 77 computations (49.7% saved)

series166.0ms (1.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
156.0ms	b	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	b	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0ms	b	@	0	(+.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))))))
1.0ms	a	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`fma-neg_binary64`
356×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
222×	`add-sqr-sqrt_binary64`
217×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	441	65
2	6359	65

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

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

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-+r+_binary64`
560×	`unsub-neg_binary64`
490×	`fma-def_binary64`
435×	`*-commutative_binary64`
374×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1471
1	178	1421
2	522	1295
3	2074	1281
4	4234	1281
5	5670	1281

Stop Event

1×	node limit

Counts

196 → 156

Calls

Call 1

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

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

eval295.0ms (2.2%)

Compiler: Compiled 11377 to 7170 computations (37% saved)

prune66.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	322	13	335
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	324	13	337

Error

Counts

337 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.8b	(+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))
	20.5b	(log.f64 (exp.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))
	53.9b	(pow.f64 b 4)
	12.2b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 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 b b)))) 1)
▶	9.9b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
	43.2b	(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))) 2)
▶	11.1b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
	8.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	51.3b	(*.f64 (pow.f64 a 3) (+.f64 4 a))
▶	51.8b	(pow.f64 a 4)
	11.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	12.2b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)

Compiler

Compiled 458 to 326 computations (28.8% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 111 to 45 computations (59.5% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
0.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
0.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
0.0ms	a	@	-inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`fma-neg_binary64`
304×	`log1p-udef_binary64`
303×	`expm1-udef_binary64`
247×	`log-pow_binary64`
192×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	378	53
2	5574	53

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs

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

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

Outputs

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

458×	`associate-l_binary64`
454×	`distribute-rgt-out_binary64`
445×	`fma-def_binary64`
435×	`cancel-sign-sub-inv_binary64`
421×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1234
1	196	1210
2	526	1088
3	2398	1084
4	5087	1084

Stop Event

1×	node limit

Counts

151 → 142

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	164	14
2	1977	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify168.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1071×	`sqr-pow_binary64`
577×	`pow-sqr_binary64`
568×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	22	114
2	50	114
3	101	105
4	237	105
5	915	105
6	2021	105
7	2434	105
8	2594	105
9	2776	105
10	3016	105
11	3327	105
12	3713	105
13	4198	105
14	4823	105
15	5629	105
16	6033	105
17	6397	105
18	6691	105
19	6931	105
20	7083	105

Stop Event

1×	node limit

Counts

55 → 47

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))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
✓	0.0b	(+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))
✓	0.0b	(*.f64 a (+.f64 a 4))
✓	0.5b	(.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4)))

Compiler

Compiled 73 to 45 computations (38.4% saved)

series10.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`fma-def_binary64`
722×	`log-prod_binary64`
413×	`fma-neg_binary64`
261×	`expm1-udef_binary64`
261×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	317	65
2	4396	65

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

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

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

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg_binary64`
537×	`distribute-neg-in_binary64`
451×	`unswap-sqr_binary64`
422×	`associate-l_binary64`
392×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1397
1	129	1339
2	328	1215
3	983	1189
4	2958	1189
5	6870	1189

Stop Event

1×	node limit

Counts

352 → 308

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 27 computations (32.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite130.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`prod-diff_binary64`
548×	`unpow-prod-down_binary64`
400×	`log-prod_binary64`
266×	`fma-def_binary64`
251×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	219	26
2	2581	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
465×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
322×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	256
1	54	219
2	128	217
3	400	217
4	1379	206
5	3501	206
6	6734	206

Stop Event

1×	node limit

Counts

126 → 119

Calls

Call 1

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

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

eval1.1s (8.5%)

Compiler: Compiled 17450 to 10896 computations (37.6% saved)

prune129.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	692	13	705
Fresh	5	3	8
Picked	1	0	1
Done	3	1	4
Total	701	17	718

Error

Counts

718 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	21.8b	(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
▶	21.8b	(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
▶	9.9b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
	9.9b	(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
	53.9b	(pow.f64 b 4)
	22.0b	-1
▶	12.2b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
	12.2b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
	13.5b	(-.f64 (pow.f64 b 4) 1)
	11.1b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
	11.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
▶	9.8b	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
▶	51.3b	(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
	9.9b	(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
	21.4b	(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))))
✓	51.8b	(pow.f64 a 4)

Compiler

Compiled 432 to 307 computations (28.9% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 28 computations (39.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (+.f64 a 1) (.f64 a a))
0.0ms	a	@	-inf	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
0.0ms	a	@	inf	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
0.0ms	a	@	0	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
0.0ms	a	@	inf	(.f64 (+.f64 a 1) (.f64 a a))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`prod-diff_binary64`
478×	`log-prod_binary64`
408×	`fma-def_binary64`
279×	`pow2_binary64`
229×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	235	30
2	2978	26

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(.f64 (+.f64 a 1) (.f64 a a))
(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
465×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
322×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	256
1	54	219
2	128	217
3	398	217
4	1376	206
5	3495	206
6	6730	206

Stop Event

1×	node limit

Counts

134 → 127

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (.f64 b (.f64 a (.f64 2 a))))
✓	0.5b	(.f64 b (.f64 a (*.f64 2 a)))

Compiler

Compiled 41 to 25 computations (39% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (.f64 a (*.f64 2 a)))
1.0ms	b	@	inf	(.f64 b (.f64 a (*.f64 2 a)))
1.0ms	a	@	0	(.f64 b (.f64 b (.f64 a (.f64 2 a))))
1.0ms	a	@	inf	(.f64 b (.f64 b (.f64 a (.f64 2 a))))
1.0ms	a	@	inf	(.f64 b (.f64 a (*.f64 2 a)))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	163	23
2	1946	23

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 b (.f64 a (*.f64 2 a)))
(.f64 b (.f64 b (.f64 a (.f64 2 a))))

Outputs

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

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

simplify239.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
927×	`sqr-pow_binary64`
591×	`cube-prod_binary64`
480×	`fabs-mul_binary64`
366×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	552
1	25	552
2	62	552
3	200	552
4	941	552
5	1617	552
6	1683	552
7	1783	552
8	1903	552
9	2025	552
10	2172	552
11	2336	552
12	2525	552
13	2738	552
14	2968	552
15	3212	552
16	3477	552
17	3756	552
18	4056	552
19	4370	552
20	4440	552
21	6388	552
22	6633	552
23	6859	552
24	6980	552
25	7806	552

Stop Event

1×	node limit

Counts

74 → 30

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))

Outputs
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) b))
(.f64 2 (.f64 (*.f64 a a) b))
(.f64 2 (.f64 a (*.f64 a b)))
(.f64 a (.f64 a (*.f64 2 b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 2 (.f64 a a)) (.f64 b b))
(.f64 2 (.f64 a (.f64 a (.f64 b b))))
(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
(.f64 a (.f64 b (.f64 a (.f64 2 b))))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 29 computations (38.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
0.0ms	a	@	inf	(+.f64 (*.f64 (+.f64 4 a) a) 4)
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`prod-diff_binary64`
534×	`log-prod_binary64`
470×	`fma-def_binary64`
303×	`fma-neg_binary64`
290×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	235	44
2	3296	44

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4))
(*.f64 (+.f64 4 a) a)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(+.f64 (*.f64 (+.f64 4 a) a) 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) 4) (.f64 (+.f64 a 4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) 1) (.f64 (.f64 (.f64 a a) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a a)) (fma.f64 a (+.f64 a 4) 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a a)) (fma.f64 a (+.f64 a 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a a)) (fma.f64 a (+.f64 a 4) 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a a)) (fma.f64 a (+.f64 a 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(2) ((x /.f64 (.f64 (.f64 a a) (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16)) (fma.f64 a (+.f64 a 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (fma.f64 a (+.f64 a 4) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 a a)) (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 a a) 4)) (exp.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)))))))) 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egg-rr> (2) ((x expm1.f64 (fma.f64 2 (log.f64 a) (log.f64 (fma.f64 a (+.f64 a 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 (fma.f64 a (+.f64 a 4) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 a (.f64 a (+.f64 a 4))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 (+.f64 a 4) (.f64 a a)) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 (.f64 a (fma.f64 a (+.f64 a 4) 4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (.f64 a (+.f64 a 4)) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a 4) (pow.f64 a 3) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a 4)) (.f64 a a) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a (+.f64 a 4) 4) (.f64 a a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (+.f64 a 4) (pow.f64 a 3)) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a 4) 4))) (cbrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (fma.f64 a (+.f64 a 4) 4) 2))) -1)))) (#(struct:change 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(pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) 2) (.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) (.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 a (fma.f64 a (+.f64 a 4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (+.f64 a 4))) (.f64 (sqrt.f64 (.f64 a (+.f64 a 4))) (.f64 a a)) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)) (.f64 (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (+.f64 a 4) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (fma.f64 a (+.f64 a 4) 4)) a -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 a 4) (pow.f64 a 3))) 2) (cbrt.f64 (.f64 (+.f64 a 4) (pow.f64 a 3))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 a 4) (pow.f64 a 3))) (sqrt.f64 (.f64 (+.f64 a 4) (pow.f64 a 3))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (.f64 a (+.f64 a 4)))) (.f64 a (sqrt.f64 (.f64 a (+.f64 a 4)))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 a (+.f64 a 4))) a) (.f64 (sqrt.f64 (.f64 a (+.f64 a 4))) a) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a (+.f64 a 4)) a) a (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) 2)) (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (sqrt.f64 (fma.f64 a (+.f64 a 4) 4))) (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 a (+.f64 a 4) 4) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (+.f64 a 4)) a (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a 4))) 2)) (cbrt.f64 (.f64 a (+.f64 a 4))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (sqrt.f64 (.f64 a (+.f64 a 4)))) (sqrt.f64 (.f64 a (+.f64 a 4))) (fma.f64 a (.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a (+.f64 a 4)) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) (fma.f64 a (.f64 a 4) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (+.f64 a 4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (fma.f64 a (+.f64 a 4) -4)) (/.f64 16 (fma.f64 a (+.f64 a 4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (+.f64 a 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (+.f64 a 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) 2) (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)) (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (-.f64 16 (.f64 a (.f64 (+.f64 a 4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16) (/.f64 1 (fma.f64 a (+.f64 a 4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (-.f64 16 (.f64 a (.f64 (+.f64 a 4) 4)))) (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (+.f64 a 4) -4) (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3)) (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (-.f64 16 (.f64 a (.f64 (+.f64 a 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3)) (+.f64 16 (-.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (.f64 a (.f64 (+.f64 a 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16) (fma.f64 a (+.f64 a 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (-.f64 16 (.f64 a (.f64 (+.f64 a 4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16)) (neg.f64 (fma.f64 a (+.f64 a 4) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a 4)) 2)) (-.f64 4 (.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (+.f64 a 4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 a 4) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a 4) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (+.f64 a 4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (-.f64 16 (.f64 a (.f64 (+.f64 a 4) 4)))) (+.f64 64 (pow.f64 (.f64 a (+.f64 a 4)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a (+.f64 a 4) -4) (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) -16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (+.f64 a 4) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (+.f64 a 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (+.f64 a 4) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (+.f64 a 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (+.f64 a 4) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 a 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a 4) a 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a 4)) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (+.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 a 4) 2)) (.f64 (cbrt.f64 (+.f64 a 4)) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (+.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a (+.f64 a 4))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 a 4))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 a 4))) 2) (cbrt.f64 (.f64 a (+.f64 a 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a 4)) (.f64 (sqrt.f64 (+.f64 a 4)) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (+.f64 a 4))) (sqrt.f64 (.f64 a (+.f64 a 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (cbrt.f64 (pow.f64 (+.f64 a 4) 2))) (cbrt.f64 (+.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (+.f64 a 4))) (sqrt.f64 (+.f64 a 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a 4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a 4) (sqrt.f64 a)) (sqrt.f64 a) 4)))))

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
454×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
322×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	492
1	67	430
2	151	420
3	388	409
4	1291	403
5	3399	403
6	6629	403

Stop Event

1×	node limit

Counts

270 → 248

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (+.f64 4 a) 4)
✓	0.1b	(*.f64 a (fma.f64 a (+.f64 4 a) 4))
✓	0.1b	(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	154	33
2	1997	33

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(fma.f64 a (+.f64 4 a) 4)

Outputs

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

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

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

simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
659×	`fma-def_binary64`
630×	`sqr-pow_binary64`
470×	`*-commutative_binary64`
385×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	388
1	70	332
2	157	318
3	333	312
4	1012	312
5	2280	312
6	3735	312
7	3876	312
8	4097	312
9	4551	312
10	5394	312
11	5770	312
12	6246	312
13	6805	312
14	7499	312
15	7959	312

Stop Event

1×	node limit

Counts

87 → 78

Calls

Call 1

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

Outputs
(*.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 (.f64 a (fma.f64 a a a)))
(.f64 a (.f64 a (fma.f64 4 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 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 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 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 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a (fma.f64 a a a)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(*.f64 4 a)
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(*.f64 a (fma.f64 4 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 3) (.f64 4 a)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 3) (.f64 4 a)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(pow.f64 a 3)
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 3))
(fma.f64 4 (*.f64 a a) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a 4))
(.f64 a (.f64 a (+.f64 4 a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 a) (pow.f64 a 3)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 a) (pow.f64 a 3)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(pow.f64 a 3)
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 3))
(fma.f64 4 (*.f64 a a) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a 4))
(.f64 a (.f64 a (+.f64 4 a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 a) (pow.f64 a 3)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 4 a) (pow.f64 a 3)))
(fma.f64 4 (*.f64 a a) (fma.f64 4 a (pow.f64 a 3)))
(fma.f64 4 (fma.f64 a a a) (pow.f64 a 3))
(*.f64 a (fma.f64 a (+.f64 4 a) 4))
4
(+.f64 (*.f64 4 a) 4)
(fma.f64 4 a 4)
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 4 a) (pow.f64 a 2))
(fma.f64 4 a (*.f64 a a))
(*.f64 a (+.f64 a 4))
(*.f64 a (+.f64 4 a))
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 4 a) (pow.f64 a 2))
(fma.f64 4 a (*.f64 a a))
(*.f64 a (+.f64 a 4))
(*.f64 a (+.f64 4 a))
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)
(+.f64 (*.f64 4 a) (+.f64 4 (pow.f64 a 2)))
(+.f64 (fma.f64 4 a 4) (*.f64 a a))
(fma.f64 4 a (fma.f64 a a 4))
(fma.f64 a (+.f64 4 a) 4)

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b b (*.f64 a -12))
✓	0.9b	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))

Compiler

Compiled 53 to 30 computations (43.4% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
2.0ms	a	@	-inf	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	b	@	inf	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	a	@	inf	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
392×	`prod-diff_binary64`
366×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	219	25
2	2789	23

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (*.f64 b 4)) 1) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 3) (*.f64 (pow.f64 b 6) (pow.f64 (fma.f64 b b (*.f64 a -12)) 3))) (+.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 2) (-.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 2) (*.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 2) (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 2)) (-.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3)) (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 a -12)) (-.f64 (fma.f64 b b (*.f64 a -12)) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2)) (*.f64 b b)) (-.f64 4 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b b) (+.f64 64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3))) (fma.f64 (fma.f64 b b (*.f64 a -12)) (-.f64 (fma.f64 b b (*.f64 a -12)) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b b) (-.f64 16 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2))) (-.f64 4 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) 2)) (cbrt.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))))) (sqrt.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 4) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 4 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a -12)) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 b b) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 a -12)) (*.f64 b b) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 2) (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) (*.f64 b b)) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 4) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) (fma.f64 b b (*.f64 a -12))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12))) (*.f64 b b)) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (*.f64 b 4)) 1 (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))) 2) (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 4))) 2) (cbrt.f64 (*.f64 b (*.f64 b 4))) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a -12)))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a -12)))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (*.f64 b 4))) (sqrt.f64 (*.f64 b (*.f64 b 4))) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 b) b (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b b (*.f64 a -12)) b) b (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 b (cbrt.f64 (fma.f64 b b (*.f64 a -12)))) 2) (cbrt.f64 (fma.f64 b b (*.f64 a -12))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (hypot.f64 b (sqrt.f64 (*.f64 a -12)))) (hypot.f64 b (sqrt.f64 (*.f64 a -12))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b b (*.f64 a -12)) (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (*.f64 b (*.f64 b 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 a -12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -12) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (*.f64 a -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 a -12)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 a -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 a -12))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 a -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 a -12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 a -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 a -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 2) (cbrt.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12))) (hypot.f64 b (sqrt.f64 (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (*.f64 a -12) 3)) (+.f64 (pow.f64 b 4) (-.f64 (*.f64 (*.f64 a a) 144) (*.f64 (*.f64 b b) (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 a a) 144)) (-.f64 (*.f64 b b) (*.f64 a -12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 a -12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b b (*.f64 a -12)))) 2)) (cbrt.f64 (log.f64 (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 b b (*.f64 a -12))))) (sqrt.f64 (log.f64 (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (pow.f64 (exp.f64 a) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (expm1.f64 (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (+.f64 1 (expm1.f64 (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a -12))) (pow.f64 (exp.f64 b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) -12) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a -12))) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (*.f64 a -12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a -12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 b b (*.f64 a -12)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a -12))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a -12))) 3) 1/3))))))

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-lft-in_binary64`
654×	`distribute-rgt-in_binary64`
582×	`*-commutative_binary64`
560×	`associate-l_binary64`
456×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	564
1	38	488
2	104	488
3	273	488
4	806	488
5	2696	488
6	4773	488
7	6313	488
8	6503	488
9	6714	488
10	6995	488
11	7360	488
12	7898	488

Stop Event

1×	node limit

Counts

144 → 112

Calls

Call 1

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

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

eval463.0ms (3.4%)

Compiler: Compiled 10563 to 7097 computations (32.8% saved)

prune237.0ms (1.8%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	581	14	595
Fresh	5	6	11
Picked	1	0	1
Done	2	3	5
Total	589	23	612

Error

Counts

612 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	51.3b	(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
	51.3b	(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
	21.5b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
✓	9.9b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
▶	9.9b	(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
▶	62.2b	(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
	21.2b	(-.f64 (.f64 (.f64 a a) 4) 1)
	12.2b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
▶	61.8b	(.f64 4 (.f64 a a))
	21.4b	(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 (fma.f64 a a (pow.f64 a 3)) 4 -1))))
	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
	12.2b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
	11.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
	10.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
	22.0b	-1
	11.1b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
✓	9.8b	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
▶	11.4b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
	51.9b	(.f64 a (.f64 a (*.f64 a a)))
	21.9b	(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
	9.9b	(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
✓	51.8b	(pow.f64 a 4)
▶	53.9b	(pow.f64 b 4)

Compiler

Compiled 541 to 376 computations (30.5% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 84 to 55 computations (34.5% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4))))
0.0ms	b	@	inf	(.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (*.f64 b 2) 4)))
0.0ms	b	@	0	(.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (*.f64 b 2) 4)))
0.0ms	a	@	inf	(.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (*.f64 b 2) 4)))
0.0ms	a	@	-inf	(.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (*.f64 b 2) 4)))

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log-prod_binary64`
501×	`fma-def_binary64`
349×	`pow2_binary64`
245×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	271	61
2	3821	61

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 a 4) (.f64 a a)) a) (.f64 (.f64 a (fma.f64 b (+.f64 b b) 4)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (+.f64 a 4)) (.f64 a a)) (.f64 (fma.f64 b (+.f64 b b) 4) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 b (+.f64 b b) 4) (.f64 a a)) (.f64 (.f64 a (+.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (.f64 a (+.f64 a 4))) (.f64 (.f64 a a) (fma.f64 b (+.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 (+.f64 a 4) (.f64 a a))) (.f64 a (.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (fma.f64 b (+.f64 b b) 4)) (.f64 (.f64 a a) (.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) a))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (+.f64 (pow.f64 (.f64 a (+.f64 a 4)) 3) (pow.f64 (fma.f64 b (+.f64 b b) 4) 3))) (fma.f64 (fma.f64 b (+.f64 b b) 4) (-.f64 (fma.f64 b (+.f64 b b) 4) (.f64 a (+.f64 a 4))) (pow.f64 (.f64 a (+.f64 a 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 (pow.f64 (.f64 a (+.f64 a 4)) 2) (pow.f64 (fma.f64 b (+.f64 b b) 4) 2))) (-.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (+.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 a (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (.f64 a (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a 4) (fma.f64 b (+.f64 b b) 4)) (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 (+.f64 a 4) (.f64 a a)) (.f64 a (.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a 4)) (.f64 a a) (.f64 (fma.f64 b (+.f64 b b) 4) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (+.f64 b b) 4) (.f64 a a) (.f64 (.f64 a (+.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (.f64 a (+.f64 a 4)) (.f64 (.f64 a a) (fma.f64 b (+.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (fma.f64 b (+.f64 b b) 4) (.f64 (.f64 a a) (.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a 4) (.f64 a a)) a (.f64 (*.f64 a (fma.f64 b (+.f64 b b) 4)) a))))))
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simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1036×	`distribute-rgt-in_binary64`
793×	`fma-def_binary64`
565×	`distribute-rgt-out_binary64`
503×	`unswap-sqr_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1350
1	121	1262
2	289	1134
3	786	1134
4	3228	1134
5	5697	1134
6	5869	1134
7	6061	1134
8	6291	1134
9	6541	1134
10	6844	1134

Stop Event

1×	node limit

Counts

305 → 265

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (.f64 a a))

Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`pow1_binary64`
408×	`add-sqr-sqrt_binary64`
401×	`*-un-lft-identity_binary64`
392×	`add-log-exp_binary64`
392×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1128	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 4 (.f64 a a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a 2) 3) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a 2) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a 2))))))))

simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	330	84
6	1242	84
7	2121	84
8	2285	84
9	2469	84
10	2677	84
11	2974	84
12	3367	84
13	3848	84
14	4414	84
15	5100	84
16	5933	84
17	6329	84
18	6623	84
19	6895	84
20	6965	84
21	6999	84
22	7940	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 4 a))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 a (+.f64 (.f64 4 a) 4))
✓	0.1b	(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	159	19
2	2098	19

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-def_binary64`
890×	`distribute-rgt-in_binary64`
665×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
514×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	246
1	35	210
2	79	210
3	167	210
4	523	210
5	2099	210
6	4248	210
7	4738	210
8	5009	210
9	5317	210
10	5704	210
11	6341	210
12	6935	210

Stop Event

1×	node limit

Counts

69 → 53

Calls

Call 1

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

Outputs
(*.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(*.f64 4 (pow.f64 a 3))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(*.f64 4 (pow.f64 a 3))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(+.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 (.f64 a (fma.f64 a a a)))
(.f64 (.f64 a a) (fma.f64 4 a 4))
(*.f64 4 a)
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 4 a))
(.f64 4 (+.f64 (.f64 a a) a))
(*.f64 4 (fma.f64 a a a))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
0.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 (*.f64 a a) 4))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 (*.f64 a a) 4))
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
0.0ms	a	@	0	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`pow1_binary64`
841×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	183	28
2	2371	28

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 (*.f64 a a) 4))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(+.f64 (*.f64 a a) 4)

Outputs

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

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

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-rgt-neg-in_binary64`
587×	`fma-def_binary64`
476×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	309
1	31	291
2	62	279
3	145	279
4	396	279
5	1445	279
6	4304	279

Stop Event

1×	node limit

Counts

124 → 101

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval271.0ms (2%)

Compiler: Compiled 8560 to 5209 computations (39.1% saved)

prune153.0ms (1.1%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	433	2	435
Fresh	1	14	15
Picked	0	1	1
Done	2	5	7
Total	436	22	458

Error

Counts

458 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	51.3b	(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
	51.3b	(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
	21.5b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
✓	9.9b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
✓	62.2b	(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
	21.2b	(-.f64 (.f64 (.f64 a a) 4) 1)
	12.2b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
✓	61.8b	(.f64 4 (.f64 a a))
	21.4b	(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 (fma.f64 a a (pow.f64 a 3)) 4 -1))))
✓	53.9b	(pow.f64 b 4)
	11.3b	(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
	11.6b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
	10.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
	22.0b	-1
	11.1b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
✓	9.8b	(+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
	11.5b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
	51.9b	(.f64 a (.f64 a (*.f64 a a)))
	21.9b	(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
	9.9b	(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
✓	51.8b	(pow.f64 a 4)
	12.2b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)

Compiler

Compiled 268 to 188 computations (29.9% saved)

regimes217.0ms (1.6%)

Counts

44 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.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 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 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
(+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))
(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 (fma.f64 a a (pow.f64 a 3)) 4 -1))))
(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
(log.f64 (exp.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (fma.f64 a a (fma.f64 (*.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) -1))) 2)

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

Calls

8 calls:

69.0ms	b
51.0ms	(+.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))))))
25.0ms	a
15.0ms	(+.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))))))
13.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.0b	1	`(+.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))))))`
0.0b	1	`(+.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))))))`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 721 to 437 computations (39.4% saved)

regimes151.0ms (1.1%)

Counts

41 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.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 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 a 4) (fma.f64 4 (.f64 (+.f64 a 1) (.f64 a a)) -1))
(+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -1))
(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 (fma.f64 a a (pow.f64 a 3)) 4 -1))))
(log.f64 (exp.f64 (+.f64 (pow.f64 a 4) (fma.f64 4 (fma.f64 a a (pow.f64 a 3)) -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 b b)))) 1)

Calls

7 calls:

41.0ms	(+.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))))))
27.0ms	(*.f64 b b)
21.0ms	a
19.0ms	b
14.0ms	(+.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))))))

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.2b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)`
0.2b	1	`(+.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))))))`
0.2b	1	`(+.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))))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 642 to 387 computations (39.7% saved)

regimes307.0ms (2.3%)

Counts

33 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)

Outputs

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

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

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

Calls

4 calls:

116.0ms	b
86.0ms	a
57.0ms	(*.f64 b b)
35.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.5b	3	`a`
1.4b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 356 to 210 computations (41% saved)

bsearch151.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
90.0ms	4.874292124628652e-6	10797030741.851324
60.0ms	-0.014201792539656631	-2.870733151892262e-8

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes211.0ms (1.6%)

Counts

32 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)

Outputs

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

(-.f64 (*.f64 b (*.f64 b (fma.f64 b b 4))) 1)

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

Calls

4 calls:

70.0ms	b
49.0ms	(*.f64 b b)
47.0ms	a
25.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.4b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 337 to 199 computations (40.9% saved)

bsearch77.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	4.055072723998475e-11	4.015952694922711e-8
40.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes123.0ms (0.9%)

Counts

30 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4))) 1)

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

Calls

4 calls:

40.0ms	a
40.0ms	b
16.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.4b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 301 to 176 computations (41.5% saved)

bsearch125.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	4.055072723998475e-11	4.015952694922711e-8
33.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes259.0ms (1.9%)

Counts

25 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)

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

Calls

4 calls:

125.0ms	(*.f64 b b)
78.0ms	a
35.0ms	b
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.6b	3	`a`
1.4b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 231 to 137 computations (40.7% saved)

bsearch106.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	4.055072723998475e-11	4.015952694922711e-8
35.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes149.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))
(.f64 a (.f64 a (+.f64 (*.f64 4 a) 4)))
(-.f64 (.f64 (.f64 a b) (*.f64 -12 b)) 1)
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
(-.f64 (.f64 b (.f64 b (.f64 a (.f64 2 a)))) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 4 a))
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
(.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4)))

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)

Calls

3 calls:

88.0ms	a
41.0ms	b
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
1.4b	3	`b`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 216 to 128 computations (40.7% saved)

bsearch87.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	4.055072723998475e-11	4.015952694922711e-8
33.0ms	-5.3921310816193586e-9	-9.252990012708984e-14

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes101.0ms (0.7%)

Counts

16 → 3

Calls

Call 1

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

Outputs
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)

Calls

3 calls:

61.0ms	a
25.0ms	b
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.6b	3	`a`
2.6b	3	`b`
2.9b	2	`(*.f64 b b)`

Compiler

Compiled 147 to 83 computations (43.5% saved)

bsearch158.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
124.0ms	4.055072723998475e-11	4.015952694922711e-8
34.0ms	-2.8012403037291285	-0.7909794925734653

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes81.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

Outputs
(.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a 4)) 4)))
(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
(.f64 a (.f64 a (*.f64 a (+.f64 4 a))))

Calls

3 calls:

43.0ms	a
24.0ms	b
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.6b	3	`a`
3.0b	3	`b`
3.3b	2	`(*.f64 b b)`

Compiler

Compiled 103 to 60 computations (41.7% saved)

bsearch122.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	4.874292124628652e-6	10797030741.851324
73.0ms	-2.8012403037291285	-0.7909794925734653

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes19.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)

Calls

2 calls:

9.0ms	b
7.0ms	a

Results

Error	Segments	Branch
11.5b	1	`a`
11.5b	1	`b`

Compiler

Compiled 87 to 51 computations (41.4% saved)

regimes22.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))

Outputs
(.f64 a (.f64 a (*.f64 a a)))
(-.f64 (.f64 (.f64 a a) 4) 1)
(.f64 a (.f64 a (*.f64 a a)))

Calls

2 calls:

15.0ms	a
6.0ms	b

Results

Error	Segments	Branch
11.4b	3	`a`
21.2b	1	`b`

Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	4.874292124628652e-6	10797030741.851324
37.0ms	-6.920056723343357	-2.8012403037291285

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))
(-.f64 (.f64 (.f64 a a) 4) 1)

Outputs
(-.f64 (.f64 (.f64 a a) 4) 1)

Calls

2 calls:

9.0ms	b
4.0ms	a

Results

Error	Segments	Branch
21.2b	1	`a`
21.2b	1	`b`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -40.6b remaining (-184.3%)

Threshold costs -40.6b (-184.3%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
(.f64 4 (.f64 a a))

Outputs
-1

Calls

2 calls:

5.0ms	b
4.0ms	a

Results

Error	Segments	Branch
22.0b	1	`a`
22.0b	1	`b`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
22×	`*-commutative_binary64`
10×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	598
1	147	598
2	157	598

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(if (<=.f64 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1) (if (<=.f64 a 2877274219632727/590295810358705651712) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1) (*.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)))
(if (<=.f64 a -6307832394024859/2251799813685248) (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a 4)) 4))) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)))
(if (<=.f64 a -6307832394024859/2251799813685248) (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a 4)) 4))) (if (<=.f64 a 2877274219632727/590295810358705651712) (-.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 b b))) 1) (.f64 a (.f64 a (*.f64 a (+.f64 4 a))))))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(if (<=.f64 a -973911402519745/140737488355328) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a 2877274219632727/590295810358705651712) (-.f64 (.f64 (.f64 a a) 4) 1) (.f64 a (.f64 a (.f64 a a)))))
(-.f64 (.f64 (.f64 a a) 4) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))))
(if (<=.f64 a -8186776011467609/576460752303423488) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1) (if (<=.f64 a 2877274219632727/590295810358705651712) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1) (*.f64 (pow.f64 a 3) (+.f64 4 a))))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4)))) -1) (if (<=.f64 a 2877274219632727/590295810358705651712) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1)))) (pow.f64 b 4)) -1) (*.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 a -8186776011467609/576460752303423488) (+.f64 -1 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))))) (if (<=.f64 a 2877274219632727/590295810358705651712) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1)))) (pow.f64 b 4))) (*.f64 (pow.f64 a 3) (+.f64 a 4))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 4 a)) (fma.f64 b (.f64 b 2) 4)))) 1)))
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(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4)) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)))
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(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 -1 (.f64 (.f64 a a) (fma.f64 (+.f64 a 4) a 4))) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 4)))) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a 4)))))))
(if (<=.f64 a -814835810914525/151115727451828646838272) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) -1) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (+.f64 (.f64 b (.f64 b (fma.f64 b b 4))) -1) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) -1)))
(if (<=.f64 a -814835810914525/151115727451828646838272) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4))))) (if (<=.f64 a 6274921109064683/154742504910672534362390528) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 4)))) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))))))
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(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(+.f64 (.f64 (.f64 a a) (*.f64 a a)) -1)
(+.f64 -1 (.f64 (.f64 a a) (*.f64 a a)))
(if (<=.f64 a -973911402519745/140737488355328) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a 2877274219632727/590295810358705651712) (-.f64 (.f64 (.f64 a a) 4) 1) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a -973911402519745/140737488355328) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a 2877274219632727/590295810358705651712) (+.f64 (.f64 4 (.f64 a a)) -1) (.f64 a (.f64 a (.f64 a a)))))
(if (<=.f64 a -973911402519745/140737488355328) (.f64 a (.f64 a (.f64 a a))) (if (<=.f64 a 2877274219632727/590295810358705651712) (+.f64 -1 (.f64 4 (.f64 a a))) (.f64 a (.f64 a (.f64 a a)))))
(-.f64 (.f64 (.f64 a a) 4) 1)
(+.f64 (.f64 4 (.f64 a a)) -1)
(+.f64 -1 (.f64 4 (.f64 a a)))
-1

Compiler

Compiled 438 to 285 computations (34.9% saved)

soundness118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	32

Stop Event

1×	node limit

Compiler

Compiled 1119 to 683 computations (39% saved)

end487.0ms (3.6%)

Compiler: Compiled 414 to 249 computations (39.9% saved)