Details

analyze519.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	99.6%	0.4%	0%	0%	0%	3
0%	0%	99.6%	0.4%	0%	0%	0%	4
0%	0%	99.6%	0.4%	0%	0%	0%	5
0%	0%	99.6%	0.4%	0%	0%	0%	6
0%	0%	99.6%	0.4%	0%	0%	0%	7
0%	0%	99.6%	0.4%	0%	0%	0%	8
0%	0%	99.6%	0.4%	0%	0%	0%	9
0%	0%	99.6%	0.4%	0%	0%	0%	10
0%	0%	99.6%	0.4%	0%	0%	0%	11
0%	0%	99.6%	0.4%	0%	0%	0%	12

Compiler

Compiled 24 to 16 computations (33.3% saved)

sample2.4s (14.6%)

Results

1.4s	8256×	body	256	valid
949.0ms	5700×	body	256	infinite

Bogosity

preprocess66.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

771×	`fma-def_binary64`
329×	`associate-+l+_binary64`
267×	`associate-+r+_binary64`
212×	`+-commutative_binary64`
28×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	580
1	363	464
2	1010	464
3	1727	464
4	1866	464
5	1872	464
0	8	8
1	8	8

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5
6
7

Outputs
0
1
0
2
3
2
4
5
4
6
7
6

Call 2

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x t)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 t y) (.f64 z x)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 a y) (.f64 z t)) (.f64 x b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 b y) (.f64 z t)) (.f64 a x)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 c y) (.f64 z t)) (.f64 a b)) (.f64 x i))
(+.f64 (+.f64 (+.f64 (.f64 i y) (.f64 z t)) (.f64 a b)) (.f64 c x))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y t)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x t) (.f64 z y)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x a) (.f64 z t)) (.f64 y b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x b) (.f64 z t)) (.f64 a y)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x c) (.f64 z t)) (.f64 a b)) (.f64 y i))
(+.f64 (+.f64 (+.f64 (.f64 x i) (.f64 z t)) (.f64 a b)) (.f64 c y))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 t z)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 a t)) (.f64 z b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 b t)) (.f64 a z)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 c t)) (.f64 a b)) (.f64 z i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 i t)) (.f64 a b)) (.f64 c z))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z a)) (.f64 t b)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z b)) (.f64 a t)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z c)) (.f64 a b)) (.f64 t i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z i)) (.f64 a b)) (.f64 c t))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 b a)) (.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c b)) (.f64 a i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 i b)) (.f64 c a))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a c)) (.f64 b i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a i)) (.f64 c b))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 i c))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 c i (fma.f64 z t (fma.f64 a b (*.f64 x y))))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 c i (fma.f64 z t (fma.f64 a b (*.f64 x y))))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x t)) (.f64 a b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (fma.f64 x t (*.f64 y z))))
(fma.f64 c i (fma.f64 x t (fma.f64 y z (*.f64 a b))))
(fma.f64 a b (fma.f64 c i (fma.f64 x t (*.f64 y z))))
(fma.f64 x t (fma.f64 c i (fma.f64 y z (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 t y) (.f64 z x)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 t y (.f64 x z)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 x z (fma.f64 y t (*.f64 a b))))
(fma.f64 y t (fma.f64 x z (fma.f64 a b (*.f64 c i))))
(fma.f64 x z (fma.f64 a b (fma.f64 c i (*.f64 y t))))
(+.f64 (+.f64 (+.f64 (.f64 a y) (.f64 z t)) (.f64 x b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y a) (fma.f64 x b (*.f64 z t))))
(fma.f64 c i (fma.f64 x b (fma.f64 y a (*.f64 z t))))
(fma.f64 x b (fma.f64 z t (fma.f64 y a (*.f64 c i))))
(fma.f64 x b (fma.f64 y a (fma.f64 z t (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 b y) (.f64 z t)) (.f64 a x)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 b y (.f64 z t)) (*.f64 x a)))
(fma.f64 c i (fma.f64 x a (fma.f64 y b (*.f64 z t))))
(fma.f64 z t (fma.f64 y b (fma.f64 x a (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 c y) (.f64 z t)) (.f64 a b)) (.f64 x i))
(+.f64 (fma.f64 c y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 x i)))
(fma.f64 x i (fma.f64 y c (fma.f64 z t (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 i y) (.f64 z t)) (.f64 a b)) (.f64 c x))
(+.f64 (fma.f64 i y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 x c)))
(fma.f64 x c (fma.f64 y i (fma.f64 z t (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y t)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 t y (.f64 x z)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 x z (fma.f64 y t (*.f64 a b))))
(fma.f64 y t (fma.f64 x z (fma.f64 a b (*.f64 c i))))
(fma.f64 x z (fma.f64 a b (fma.f64 c i (*.f64 y t))))
(+.f64 (+.f64 (+.f64 (.f64 x t) (.f64 z y)) (.f64 a b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (fma.f64 x t (*.f64 y z))))
(fma.f64 c i (fma.f64 x t (fma.f64 y z (*.f64 a b))))
(fma.f64 a b (fma.f64 c i (fma.f64 x t (*.f64 y z))))
(fma.f64 x t (fma.f64 c i (fma.f64 y z (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x a) (.f64 z t)) (.f64 y b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 b y (.f64 z t)) (*.f64 x a)))
(fma.f64 c i (fma.f64 x a (fma.f64 y b (*.f64 z t))))
(fma.f64 z t (fma.f64 y b (fma.f64 x a (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x b) (.f64 z t)) (.f64 a y)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y a) (fma.f64 x b (*.f64 z t))))
(fma.f64 c i (fma.f64 x b (fma.f64 y a (*.f64 z t))))
(fma.f64 x b (fma.f64 z t (fma.f64 y a (*.f64 c i))))
(fma.f64 x b (fma.f64 y a (fma.f64 z t (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x c) (.f64 z t)) (.f64 a b)) (.f64 y i))
(+.f64 (fma.f64 i y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 x c)))
(fma.f64 x c (fma.f64 y i (fma.f64 z t (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x i) (.f64 z t)) (.f64 a b)) (.f64 c y))
(+.f64 (fma.f64 c y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 x i)))
(fma.f64 x i (fma.f64 y c (fma.f64 z t (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 t z)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 c i (fma.f64 z t (fma.f64 a b (*.f64 x y))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 a t)) (.f64 z b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 x y (.f64 t a)) (*.f64 z b)))
(fma.f64 c i (fma.f64 x y (fma.f64 z b (*.f64 t a))))
(fma.f64 x y (fma.f64 z b (fma.f64 t a (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 b t)) (.f64 a z)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 x y (.f64 t b)) (*.f64 z a)))
(fma.f64 c i (fma.f64 t b (fma.f64 x y (*.f64 z a))))
(fma.f64 z a (fma.f64 c i (fma.f64 x y (*.f64 t b))))
(fma.f64 z a (fma.f64 t b (fma.f64 x y (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 c t)) (.f64 a b)) (.f64 z i))
(+.f64 (fma.f64 x y (.f64 t c)) (+.f64 (.f64 a b) (*.f64 z i)))
(fma.f64 z i (fma.f64 x y (fma.f64 a b (*.f64 t c))))
(fma.f64 x y (fma.f64 z i (fma.f64 a b (*.f64 t c))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 i t)) (.f64 a b)) (.f64 c z))
(+.f64 (fma.f64 x y (.f64 t i)) (+.f64 (.f64 a b) (*.f64 z c)))
(fma.f64 z c (fma.f64 x y (fma.f64 t i (*.f64 a b))))
(fma.f64 x y (fma.f64 t i (fma.f64 z c (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z a)) (.f64 t b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 x y (.f64 t b)) (*.f64 z a)))
(fma.f64 c i (fma.f64 t b (fma.f64 x y (*.f64 z a))))
(fma.f64 z a (fma.f64 c i (fma.f64 x y (*.f64 t b))))
(fma.f64 z a (fma.f64 t b (fma.f64 x y (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z b)) (.f64 a t)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (fma.f64 x y (.f64 t a)) (*.f64 z b)))
(fma.f64 c i (fma.f64 x y (fma.f64 z b (*.f64 t a))))
(fma.f64 x y (fma.f64 z b (fma.f64 t a (*.f64 c i))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z c)) (.f64 a b)) (.f64 t i))
(+.f64 (fma.f64 x y (.f64 t i)) (+.f64 (.f64 a b) (*.f64 z c)))
(fma.f64 z c (fma.f64 x y (fma.f64 t i (*.f64 a b))))
(fma.f64 x y (fma.f64 t i (fma.f64 z c (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z i)) (.f64 a b)) (.f64 c t))
(+.f64 (fma.f64 x y (.f64 t c)) (+.f64 (.f64 a b) (*.f64 z i)))
(fma.f64 z i (fma.f64 x y (fma.f64 a b (*.f64 t c))))
(fma.f64 x y (fma.f64 z i (fma.f64 a b (*.f64 t c))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 b a)) (.f64 c i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 c i (fma.f64 z t (fma.f64 a b (*.f64 x y))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c b)) (.f64 a i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 b c) (*.f64 a i)))
(fma.f64 a i (fma.f64 b c (fma.f64 x y (*.f64 z t))))
(fma.f64 a i (fma.f64 x y (fma.f64 b c (*.f64 z t))))
(fma.f64 x y (fma.f64 a i (fma.f64 b c (*.f64 z t))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 i b)) (.f64 c a))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 b i) (*.f64 a c)))
(fma.f64 a c (fma.f64 b i (fma.f64 x y (*.f64 z t))))
(fma.f64 a c (fma.f64 z t (fma.f64 x y (*.f64 b i))))
(fma.f64 x y (fma.f64 b i (fma.f64 a c (*.f64 z t))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a c)) (.f64 b i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 b i) (*.f64 a c)))
(fma.f64 a c (fma.f64 b i (fma.f64 x y (*.f64 z t))))
(fma.f64 a c (fma.f64 z t (fma.f64 x y (*.f64 b i))))
(fma.f64 x y (fma.f64 b i (fma.f64 a c (*.f64 z t))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a i)) (.f64 c b))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 b c) (*.f64 a i)))
(fma.f64 a i (fma.f64 b c (fma.f64 x y (*.f64 z t))))
(fma.f64 a i (fma.f64 x y (fma.f64 b c (*.f64 z t))))
(fma.f64 x y (fma.f64 a i (fma.f64 b c (*.f64 z t))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 i c))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 c i (fma.f64 z t (fma.f64 a b (*.f64 x y))))

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`fma-def_binary64`
24×	`associate-+l+_binary64`
21×	`associate-+r+_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	28	16
2	63	16
3	124	16
4	150	16
5	152	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (fma.f64 x y (.f64 z t)) (+.f64 (.f64 a b) (*.f64 c i)))
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))

eval1.0ms (0%)

Compiler: Compiled 35 to 18 computations (48.6% 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	(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
▶	0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 61 to 15 computations (75.4% saved)

series24.0ms (0.1%)

Counts

3 → 216

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	a	@	inf	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
1.0ms	z	@	0	(+.f64 (.f64 x y) (.f64 z t))
1.0ms	c	@	0	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
1.0ms	x	@	-inf	(+.f64 (.f64 x y) (.f64 z t))

rewrite135.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log-prod_binary64`
509×	`fma-neg_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
276×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	348	36
2	5058	36

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) (.f64 z t))) (/.f64 (pow.f64 (.f64 z t) 2) (-.f64 (.f64 x y) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x y (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 z t))) 2) (cbrt.f64 (fma.f64 x y (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x y (.f64 z t))) (sqrt.f64 (fma.f64 x y (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 z t) (-.f64 (.f64 z t) (.f64 x 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Outputs

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(fma.f64 a b (fma.f64 x y (*.f64 z t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i c (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y (*.f64 z t)) (fma.f64 a b (*.f64 c i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 a b (fma.f64 x y (*.f64 z t))) (*.f64 c i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 c i) (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 c i)) 2) (cbrt.f64 (*.f64 c i)) (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 a b (fma.f64 x y (*.f64 z t)))) 2) (cbrt.f64 (fma.f64 a b (fma.f64 x y (*.f64 z t)))) (*.f64 c i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 z t))) 2) (cbrt.f64 (fma.f64 x y (*.f64 z t))) (fma.f64 a b (*.f64 c i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c i)) (sqrt.f64 (*.f64 c i)) (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 a b (fma.f64 x y (*.f64 z t)))) (sqrt.f64 (fma.f64 a b (fma.f64 x y (*.f64 z t)))) (*.f64 c i))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y (*.f64 z t))) (sqrt.f64 (fma.f64 x y (*.f64 z t))) (fma.f64 a b (*.f64 c i)))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

56×	`fma-def_binary64`
22×	`associate-+l+_binary64`
17×	`associate-+r+_binary64`
16×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	2392
1	53	2392
2	104	2392
3	138	2392
4	142	2392

Stop Event

1×

saturated

Counts

373 → 178

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 y x)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 y x)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))

Outputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
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(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 a b (fma.f64 y x (*.f64 t z)))
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
(fma.f64 t z (fma.f64 a b (*.f64 y x)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 a b (fma.f64 y x (*.f64 t z)))
(fma.f64 a b (fma.f64 t z (*.f64 y x)))
(fma.f64 t z (fma.f64 a b (*.f64 y x)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 y x (*.f64 t z))))
(fma.f64 a b (fma.f64 c i (fma.f64 t z (*.f64 y x))))
(fma.f64 a b (fma.f64 t z (fma.f64 y x (*.f64 c i))))
(fma.f64 t z (fma.f64 a b (fma.f64 y x (*.f64 c i))))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
✓	0.0b	(fma.f64 z t (fma.f64 c i (*.f64 a b)))

Compiler

Compiled 46 to 12 computations (73.9% saved)

series20.0ms (0.1%)

Counts

2 → 168

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
2.0ms	t	@	-inf	(fma.f64 z t (fma.f64 c i (*.f64 a b)))
1.0ms	z	@	0	(fma.f64 z t (fma.f64 c i (*.f64 a b)))
1.0ms	z	@	inf	(fma.f64 z t (fma.f64 c i (*.f64 a b)))
0.0ms	z	@	-inf	(fma.f64 z t (fma.f64 c i (*.f64 a b)))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
405×	`pow-prod-down_binary64`
350×	`pow2_binary64`
304×	`prod-diff_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	255	28
2	3038	28

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(fma.f64 z t (fma.f64 c i (*.f64 a b)))
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a b (*.f64 c i)) (*.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z t) (fma.f64 a b (*.f64 c i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z t (fma.f64 a b (*.f64 c i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z t) 1) (fma.f64 a b (*.f64 c i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z t (*.f64 c i)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z t (fma.f64 a b (*.f64 c i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) (pow.f64 (cbrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 2) (cbrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) (sqrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 (fma.f64 a b (*.f64 c i)) 3)) (+.f64 (pow.f64 (*.f64 z t) 2) (-.f64 (pow.f64 (fma.f64 a b (*.f64 c i)) 2) (*.f64 (*.f64 z t) (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z t) 2) (pow.f64 (fma.f64 a b (*.f64 c i)) 2)) (-.f64 (*.f64 z t) (fma.f64 a b (*.f64 c i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 a b (*.f64 c i))) (exp.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 a b (*.f64 c i)))) (exp.f64 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z t)) (+.f64 1 (expm1.f64 (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (fma.f64 z t (fma.f64 a b (*.f64 c i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (fma.f64 z t (fma.f64 a b (*.f64 c i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y (*.f64 z t)) (fma.f64 a b (*.f64 c i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) (pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 2) (cbrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) (sqrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 2) (*.f64 (*.f64 x y) (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))) 2)) (-.f64 (*.f64 x y) (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))) (exp.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i))))) (exp.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x y)) (+.f64 1 (expm1.f64 (fma.f64 z t (fma.f64 a b (*.f64 c i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (fma.f64 z t (fma.f64 a b (*.f64 c i))))) 1))))))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

56×	`fma-def_binary64`
15×	`associate-+l+_binary64`
14×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	2056
1	61	2056
2	103	2056
3	123	2056
4	127	2056

Stop Event

1×

saturated

Counts

230 → 84

Calls

Call 1

Inputs
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 y x)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 y x)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))

Outputs
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 c i)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(*.f64 a b)
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 t z)))
(fma.f64 c i (fma.f64 a b (*.f64 t z)))
(fma.f64 c i (fma.f64 t z (*.f64 a b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
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(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 y x (*.f64 t z))))
(fma.f64 c i (fma.f64 a b (fma.f64 t z (*.f64 y x))))
(fma.f64 c i (fma.f64 y x (fma.f64 t z (*.f64 a b))))

eval58.0ms (0.4%)

Compiler: Compiled 5169 to 1134 computations (78.1% saved)

prune67.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	253	9	262
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	255	9	264

Error

Counts

264 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(fma.f64 x y (*.f64 a b))
▶	48.4b	(*.f64 c i)
	16.7b	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
	30.9b	(fma.f64 x y (*.f64 t z))
▶	14.6b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
▶	32.5b	(+.f64 (.f64 a b) (.f64 c i))
	16.7b	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
▶	18.2b	(+.f64 (fma.f64 a b (.f64 y x)) (.f64 c i))
	48.6b	(*.f64 y x)

Compiler

Compiled 276 to 196 computations (29% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
✓	0.0b	(+.f64 (.f64 y x) (.f64 t z))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series9.0ms (0.1%)

Counts

2 → 30

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 t z))
0.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 t z))
0.0ms	x	@	inf	(+.f64 (.f64 y x) (.f64 t z))
0.0ms	y	@	-inf	(+.f64 (.f64 y x) (.f64 t z))
0.0ms	x	@	inf	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
679×	`fma-def_binary64`
358×	`pow2_binary64`
338×	`fma-neg_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	259	20
2	3658	20

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))

Outputs

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

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	144
1	22	144
2	31	144

Stop Event

1×

saturated

Counts

201 → 179

Calls

Call 1

Inputs
(*.f64 t z)
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 t z)
(*.f64 y x)
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 a b)
(*.f64 a b)
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 a b)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 t z)
(*.f64 t z)

Outputs
(*.f64 t z)
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 t z)
(*.f64 y x)
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 a b)
(*.f64 a b)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 a b)
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 t z))
(fma.f64 a b (*.f64 t z))
(fma.f64 t z (*.f64 a b))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 t z)
(*.f64 t z)

localize6.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a b) (.f64 c i))

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 30

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (.f64 a b) (.f64 c i))
0.0ms	c	@	inf	(+.f64 (.f64 a b) (.f64 c i))
0.0ms	a	@	-inf	(+.f64 (.f64 a b) (.f64 c i))
0.0ms	a	@	inf	(+.f64 (.f64 a b) (.f64 c i))
0.0ms	i	@	inf	(+.f64 (.f64 a b) (.f64 c i))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 a b) (.f64 c i))

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	192
1	12	192
2	15	192

Stop Event

1×

saturated

Counts

67 → 40

Calls

Call 1

Inputs
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 c i)
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(*.f64 c i)
(*.f64 c i)

Outputs
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 c i)
(*.f64 c i)
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(+.f64 (.f64 c i) (.f64 a b))
(fma.f64 c i (*.f64 a b))
(*.f64 c i)
(*.f64 c i)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (*.f64 a b))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 x y (*.f64 a b))
1.0ms	x	@	inf	(fma.f64 x y (*.f64 a b))
1.0ms	x	@	-inf	(fma.f64 x y (*.f64 a b))
0.0ms	y	@	-inf	(fma.f64 x y (*.f64 a b))
0.0ms	y	@	0	(fma.f64 x y (*.f64 a b))

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x y (*.f64 a b))

Outputs

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

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 25

Calls

Call 1

Inputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))

Outputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a b (*.f64 y x))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(fma.f64 a b (*.f64 y x))
0.0ms	a	@	inf	(fma.f64 a b (*.f64 y x))
0.0ms	a	@	-inf	(fma.f64 a b (*.f64 y x))
0.0ms	b	@	inf	(fma.f64 a b (*.f64 y x))
0.0ms	a	@	0	(fma.f64 a b (*.f64 y x))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 a b (*.f64 y x))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))

Outputs
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))
(+.f64 (.f64 a b) (.f64 y x))
(fma.f64 a b (*.f64 y x))
(fma.f64 y x (*.f64 a b))

eval91.0ms (0.5%)

Compiler: Compiled 4133 to 1075 computations (74% saved)

prune136.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	261	7	268
Fresh	1	3	4
Picked	1	0	1
Done	1	3	4
Total	264	13	277

Error

Counts

277 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(fma.f64 x y (*.f64 a b))
✓	48.4b	(*.f64 c i)
▶	16.7b	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
▶	34.6b	(+.f64 (.f64 y x) (.f64 c i))
▶	46.7b	(*.f64 a b)
▶	28.8b	(+.f64 (.f64 a b) (.f64 t z))
	32.6b	(+.f64 (.f64 x y) (.f64 a b))
▶	16.7b	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
	30.9b	(fma.f64 x y (*.f64 t z))
	48.6b	(*.f64 y x)
	30.9b	(+.f64 (.f64 y x) (.f64 t z))
	32.5b	(fma.f64 a b (*.f64 y x))
✓	32.5b	(+.f64 (.f64 a b) (.f64 c i))

Compiler

Compiled 332 to 242 computations (27.1% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (fma.f64 c i (*.f64 t z)))

Compiler

Compiled 32 to 11 computations (65.6% saved)

series6.0ms (0%)

Counts

1 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
0.0ms	c	@	0	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
0.0ms	x	@	inf	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
0.0ms	t	@	inf	(fma.f64 x y (fma.f64 c i (*.f64 t z)))
0.0ms	t	@	0	(fma.f64 x y (fma.f64 c i (*.f64 t z)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	196	12
2	2332	12

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 x y (fma.f64 c i (*.f64 t z)))

Outputs

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	744
1	26	744
2	39	744
3	43	744

Stop Event

1×

saturated

Counts

94 → 33

Calls

Call 1

Inputs
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))

Outputs
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 c i)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(fma.f64 y x (*.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(fma.f64 y x (*.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(fma.f64 c i (fma.f64 y x (*.f64 t z)))

localize9.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a b) (.f64 t z))

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	a	@	inf	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	a	@	-inf	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	t	@	inf	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	z	@	inf	(+.f64 (.f64 a b) (.f64 t z))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 a b) (.f64 t z))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	9	48

Stop Event

1×

saturated

Counts

49 → 39

Calls

Call 1

Inputs
(*.f64 t z)
(*.f64 a b)
(*.f64 a b)
(*.f64 t z)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 t z)
(*.f64 t z)
(*.f64 a b)
(*.f64 t z)
(*.f64 t z)

Outputs
(*.f64 t z)
(*.f64 a b)
(*.f64 a b)
(*.f64 t z)
(*.f64 a b)
(*.f64 a b)
(*.f64 a b)
(*.f64 t z)
(*.f64 t z)
(*.f64 a b)
(*.f64 t z)
(*.f64 t z)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 c i))

Compiler

Compiled 25 to 11 computations (56% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 c i))
0.0ms	c	@	-inf	(+.f64 (.f64 y x) (.f64 c i))
0.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 c i))
0.0ms	y	@	-inf	(+.f64 (.f64 y x) (.f64 c i))
0.0ms	i	@	-inf	(+.f64 (.f64 y x) (.f64 c i))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 c i))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

85 → 40

Calls

Call 1

Inputs
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))

Outputs
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
	0.0b	(+.f64 (.f64 y x) (.f64 t z))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series6.0ms (0%)

Counts

1 → 18

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
0.0ms	y	@	-inf	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
0.0ms	c	@	inf	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
0.0ms	c	@	-inf	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
0.0ms	i	@	0	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
679×	`fma-def_binary64`
358×	`pow2_binary64`
338×	`fma-neg_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	259	12
2	3657	12

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

Inputs
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	22	96
2	31	96

Stop Event

1×

saturated

Counts

121 → 112

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 c i)
(*.f64 c i)
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 c i)
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 t z)
(*.f64 t z)

Outputs
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(*.f64 c i)
(*.f64 c i)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(*.f64 c i)
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(fma.f64 t z (*.f64 c i))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(fma.f64 c i (*.f64 t z))
(fma.f64 t z (*.f64 c i))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(fma.f64 y x (*.f64 c i))
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 y x))
(fma.f64 c i (*.f64 y x))
(fma.f64 y x (*.f64 c i))
(*.f64 t z)
(*.f64 t z)

eval64.0ms (0.4%)

Compiler: Compiled 4474 to 1148 computations (74.3% saved)

prune79.0ms (0.5%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	2	3	5
Picked	1	0	1
Done	1	6	7
Total	292	14	306

Error

Counts

306 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	48.6b	(*.f64 y x)
✓	48.4b	(*.f64 c i)
✓	32.5b	(fma.f64 x y (*.f64 a b))
✓	34.6b	(+.f64 (.f64 y x) (.f64 c i))
✓	46.7b	(*.f64 a b)
▶	30.9b	(+.f64 (.f64 y x) (.f64 t z))
▶	30.4b	(fma.f64 c i (*.f64 t z))
✓	28.8b	(+.f64 (.f64 a b) (.f64 t z))
	32.6b	(+.f64 (.f64 x y) (.f64 a b))
▶	30.4b	(+.f64 (.f64 c i) (.f64 t z))
	32.5b	(fma.f64 a b (*.f64 y x))
✓	32.5b	(+.f64 (.f64 a b) (.f64 c i))
▶	44.7b	(*.f64 t z)
▶	30.9b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 299 to 223 computations (25.4% saved)

localize8.0ms (0%)

Compiler: Compiled 21 to 10 computations (52.4% saved)

localize5.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c i) (.f64 t z))

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	c	@	inf	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	c	@	-inf	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	i	@	inf	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	t	@	0	(+.f64 (.f64 c i) (.f64 t z))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 c i) (.f64 t z))

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	9	48

Stop Event

1×

saturated

Counts

49 → 39

Calls

Call 1

Inputs
(*.f64 t z)
(*.f64 c i)
(*.f64 c i)
(*.f64 t z)
(*.f64 c i)
(*.f64 c i)
(*.f64 c i)
(*.f64 t z)
(*.f64 t z)
(*.f64 c i)
(*.f64 t z)
(*.f64 t z)

Outputs
(*.f64 t z)
(*.f64 c i)
(*.f64 c i)
(*.f64 t z)
(*.f64 c i)
(*.f64 c i)
(*.f64 c i)
(*.f64 t z)
(*.f64 t z)
(*.f64 c i)
(*.f64 t z)
(*.f64 t z)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 y x) (.f64 t z))

Compiler

Compiled 25 to 11 computations (56% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(fma.f64 y x (*.f64 t z))
0.0ms	x	@	-inf	(fma.f64 y x (*.f64 t z))
0.0ms	y	@	0	(fma.f64 y x (*.f64 t z))
0.0ms	x	@	inf	(fma.f64 y x (*.f64 t z))
0.0ms	y	@	-inf	(fma.f64 y x (*.f64 t z))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 t z))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))

Outputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 t z (*.f64 y x))

eval27.0ms (0.2%)

Compiler: Compiled 1705 to 510 computations (70.1% saved)

prune36.0ms (0.2%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	2	3
Picked	0	1	1
Done	0	10	10
Total	132	14	146

Error

Counts

146 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(fma.f64 x y (*.f64 a b))
✓	48.4b	(*.f64 c i)
✓	34.6b	(+.f64 (.f64 y x) (.f64 c i))
✓	46.7b	(*.f64 a b)
✓	30.9b	(+.f64 (.f64 y x) (.f64 t z))
✓	30.4b	(fma.f64 c i (*.f64 t z))
✓	28.8b	(+.f64 (.f64 a b) (.f64 t z))
	32.6b	(+.f64 (.f64 x y) (.f64 a b))
✓	30.4b	(+.f64 (.f64 c i) (.f64 t z))
	48.6b	(*.f64 y x)
	32.5b	(fma.f64 a b (*.f64 y x))
✓	32.5b	(+.f64 (.f64 a b) (.f64 c i))
✓	44.7b	(*.f64 t z)
✓	30.9b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 190 to 142 computations (25.3% saved)

regimes273.0ms (1.7%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(fma.f64 c i (*.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 a b (*.f64 y x))
(fma.f64 x y (*.f64 a b))
(fma.f64 x y (*.f64 t z))
(+.f64 (fma.f64 a b (.f64 y x)) (.f64 c i))
(fma.f64 x y (fma.f64 c i (*.f64 t z)))
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))

Outputs
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))

Calls

20 calls:

15.0ms	z
15.0ms	c
14.0ms	(*.f64 x y)
14.0ms	(+.f64 (.f64 x y) (.f64 z t))
14.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`i`
0.0b	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`
0.0b	1	`(*.f64 c i)`
0.0b	1	`(*.f64 c i)`

Compiler

Compiled 409 to 225 computations (45% saved)

regimes197.0ms (1.2%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(fma.f64 c i (*.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 a b (*.f64 y x))
(fma.f64 x y (*.f64 a b))
(fma.f64 x y (*.f64 t z))
(+.f64 (fma.f64 a b (.f64 y x)) (.f64 c i))
(fma.f64 x y (fma.f64 c i (*.f64 t z)))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

Calls

15 calls:

18.0ms	(*.f64 x y)
13.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
13.0ms	b
13.0ms	i
13.0ms	c

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`i`
0.0b	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`
0.0b	1	`(*.f64 c i)`

Compiler

Compiled 330 to 171 computations (48.2% saved)

regimes648.0ms (3.9%)

Counts

15 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))

Outputs
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))

Calls

12 calls:

107.0ms	x
103.0ms	z
78.0ms	t
69.0ms	c
66.0ms	y

Results

Error	Segments	Branch
8.8b	6	`x`
11.6b	3	`y`
9.5b	7	`z`
10.4b	5	`t`
7.7b	3	`a`
7.5b	5	`b`
8.7b	3	`c`
8.0b	3	`i`
10.5b	4	`(*.f64 x y)`
10.5b	4	`(*.f64 x y)`
3.8b	3	`(*.f64 a b)`
5.3b	3	`(*.f64 c i)`

Compiler

Compiled 209 to 121 computations (42.1% saved)

bsearch126.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	647862829457.7161	13247377003254350.0
73.0ms	-1.7133184715305773e-7	-1.9623525828821343e-10

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes762.0ms (4.6%)

Counts

14 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))

Outputs
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 x y) (.f64 a b))

Calls

12 calls:

100.0ms	a
97.0ms	(*.f64 c i)
85.0ms	c
85.0ms	z
83.0ms	y

Results

Error	Segments	Branch
11.1b	6	`x`
10.6b	6	`y`
12.7b	6	`z`
12.4b	5	`t`
7.3b	9	`a`
10.0b	5	`b`
12.9b	5	`c`
11.1b	7	`i`
12.7b	3	`(*.f64 x y)`
12.7b	3	`(*.f64 x y)`
6.5b	3	`(*.f64 a b)`
11.2b	7	`(*.f64 c i)`

Compiler

Compiled 198 to 120 computations (39.4% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	3.1637184468039277e+98	3.8929459012354156e+105
27.0ms	-1.4033230368514006e+107	-4.515752963061405e+101

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes928.0ms (5.6%)

Counts

13 → 13

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))

Outputs
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 c i))

Calls

12 calls:

110.0ms	(*.f64 a b)
103.0ms	z
96.0ms	c
87.0ms	(*.f64 c i)
85.0ms	i

Results

Error	Segments	Branch
16.8b	7	`x`
14.5b	8	`y`
14.1b	13	`z`
15.2b	8	`t`
15.0b	11	`a`
16.3b	9	`b`
13.1b	13	`c`
15.1b	10	`i`
14.3b	6	`(*.f64 x y)`
14.3b	6	`(*.f64 x y)`
14.4b	7	`(*.f64 a b)`
13.5b	8	`(*.f64 c i)`

Compiler

Compiled 187 to 119 computations (36.4% saved)

bsearch667.0ms (4.1%)

Algorithm

12×	binary-search

Steps

Time	Left	Right
27.0ms	6.683106745506148e-27	1.1726276930385184e-23
28.0ms	1.9911277113322299e-125	1.9532142639257838e-120
49.0ms	1.3351196157635446e-170	1.0287310445265306e-168
50.0ms	-9.935589498688963e-298	-1.0762562963697562e-299
49.0ms	-8.866393046620784e-116	-3.2895870094588644e-120
47.0ms	-2.5853453954942436e-98	-4.6893727755552814e-101
48.0ms	-1.213348884728547e-43	-6.062767097287904e-47
49.0ms	-1.3810584533796385e-11	-2.144413028364492e-14
48.0ms	-4.416404699707867e+43	-7.844507981942717e+40
250.0ms	-7.786709480999204e+79	-3.9344366443745516e+77
15.0ms	-6.229351910576114e+124	-2.339621854325547e+118
6.0ms	-5.837978210489376e+253	-2.4683409273615817e+252

Compiler

Compiled 322 to 241 computations (25.2% saved)

regimes736.0ms (4.5%)

Counts

12 → 13

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 t z))

Outputs
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))

Calls

12 calls:

88.0ms	x
86.0ms	z
79.0ms	a
78.0ms	c
70.0ms	i

Results

Error	Segments	Branch
18.3b	6	`x`
15.6b	5	`y`
14.0b	13	`z`
15.2b	8	`t`
15.0b	11	`a`
16.3b	9	`b`
15.6b	12	`c`
15.1b	10	`i`
16.1b	4	`(*.f64 x y)`
16.1b	4	`(*.f64 x y)`
14.4b	7	`(*.f64 a b)`
14.2b	8	`(*.f64 c i)`

Compiler

Compiled 180 to 118 computations (34.4% saved)

bsearch541.0ms (3.3%)

Algorithm

12×	binary-search

Steps

Time	Left	Right
28.0ms	1.1305807991024928e-26	3.356275442514743e-21
31.0ms	1.2382982087947776e-114	3.0629957269073647e-109
29.0ms	2.920588260265729e-152	6.962840912079473e-146
28.0ms	3.746613471948433e-194	4.989547114646386e-187
29.0ms	-2.3718968462187837e-294	-9.135798259539724e-297
32.0ms	-2.4753945096812134e-228	-1.9335469101952874e-228
30.0ms	-2.201343148291517e-128	-2.5887706848193733e-134
31.0ms	-3.254748266135068e-111	-6.476927352206065e-124
26.0ms	-4.524989730031518e-91	-2.3283535383248028e-94
31.0ms	-3.633819394952762e-26	-2.041314360194038e-28
151.0ms	-1.2334605817327e+63	-1.581361475067993e+62
93.0ms	-1.1335566549396291e+108	-4.543967920580692e+105

Compiler

Compiled 450 to 337 computations (25.1% saved)

regimes610.0ms (3.7%)

Counts

11 → 14

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))

Outputs
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 x y) (.f64 a b))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))

Calls

12 calls:

88.0ms	z
83.0ms	i
81.0ms	c
55.0ms	a
52.0ms	t

Results

Error	Segments	Branch
19.3b	6	`x`
15.6b	5	`y`
14.3b	14	`z`
15.2b	8	`t`
16.1b	9	`a`
17.9b	8	`b`
16.3b	12	`c`
15.0b	13	`i`
16.4b	4	`(*.f64 x y)`
16.4b	4	`(*.f64 x y)`
15.7b	5	`(*.f64 a b)`
17.2b	5	`(*.f64 c i)`

Compiler

Compiled 173 to 117 computations (32.4% saved)

bsearch443.0ms (2.7%)

Algorithm

13×	binary-search

Steps

Time	Left	Right
25.0ms	1.1305807991024928e-26	3.356275442514743e-21
26.0ms	1.2382982087947776e-114	3.0629957269073647e-109
27.0ms	2.920588260265729e-152	6.962840912079473e-146
25.0ms	3.746613471948433e-194	4.989547114646386e-187
26.0ms	-2.3718968462187837e-294	-9.135798259539724e-297
27.0ms	-2.4753945096812134e-228	-1.9335469101952874e-228
26.0ms	-2.201343148291517e-128	-2.5887706848193733e-134
27.0ms	-3.254748266135068e-111	-6.476927352206065e-124
27.0ms	-4.524989730031518e-91	-2.3283535383248028e-94
26.0ms	-5.82025291643974e+23	-2.0371905268534825e+23
27.0ms	-9.575870123414639e+33	-3.077199121723765e+30
69.0ms	-8.630577487505174e+73	-5.1363207273821564e+73
85.0ms	-1.1335566549396291e+108	-4.543967920580692e+105

Compiler

Compiled 386 to 289 computations (25.1% saved)

regimes545.0ms (3.3%)

Counts

10 → 6

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))

Outputs
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 a b) (.f64 t z))

Calls

10 calls:

104.0ms	y
61.0ms	c
60.0ms	x
57.0ms	a
54.0ms	t

Results

Error	Segments	Branch
19.7b	6	`x`
17.8b	6	`y`
20.0b	7	`z`
16.3b	9	`t`
15.7b	10	`a`
18.3b	8	`b`
16.8b	10	`c`
17.7b	8	`i`
15.5b	6	`(*.f64 a b)`
18.5b	5	`(*.f64 c i)`

Compiler

Compiled 144 to 97 computations (32.6% saved)

bsearch180.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
27.0ms	647862829457.7161	13247377003254350.0
48.0ms	5.597765517608566e-22	2.6868928383781977e-20
27.0ms	3.4524827158117685e-272	1.1709733278264379e-270
51.0ms	-2.295004615232815e-307	-0.0
26.0ms	-1.7133184715305773e-7	-1.9623525828821343e-10

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes892.0ms (5.4%)

Counts

9 → 6

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))

Outputs
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 y x) (.f64 c i))
(*.f64 a b)

Calls

10 calls:

204.0ms	a
158.0ms	b
106.0ms	z
102.0ms	t
63.0ms	(*.f64 c i)

Results

Error	Segments	Branch
25.2b	5	`x`
19.6b	7	`y`
24.2b	5	`z`
21.2b	5	`t`
20.4b	9	`a`
22.4b	7	`b`
26.0b	6	`c`
25.6b	6	`i`
18.4b	6	`(*.f64 a b)`
23.3b	11	`(*.f64 c i)`

Compiler

Compiled 137 to 96 computations (29.9% saved)

bsearch435.0ms (2.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
50.0ms	3.1637184468039277e+98	3.8929459012354156e+105
68.0ms	5.597765517608566e-22	2.6868928383781977e-20
193.0ms	3.4524827158117685e-272	1.1709733278264379e-270
56.0ms	-2.295004615232815e-307	-0.0
69.0ms	-1.2262941703047695e+137	-2.3875713838198044e+132

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes890.0ms (5.4%)

Counts

8 → 5

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))

Outputs
(*.f64 a b)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 a b)

Calls

10 calls:

163.0ms	(*.f64 c i)
124.0ms	(*.f64 a b)
121.0ms	y
108.0ms	x
91.0ms	z

Results

Error	Segments	Branch
25.2b	6	`x`
22.5b	7	`y`
24.9b	9	`z`
25.4b	7	`t`
23.1b	7	`a`
25.3b	3	`b`
28.3b	3	`c`
27.6b	5	`i`
19.6b	5	`(*.f64 a b)`
24.6b	8	`(*.f64 c i)`

Compiler

Compiled 130 to 95 computations (26.9% saved)

bsearch339.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
102.0ms	3.1637184468039277e+98	3.8929459012354156e+105
64.0ms	3.05383689775349e-5	3.6443751282281003
100.0ms	5.597765517608566e-22	2.6868928383781977e-20
73.0ms	-1.2262941703047695e+137	-2.3875713838198044e+132

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes775.0ms (4.7%)

Counts

7 → 11

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 c i)
(*.f64 y x)

Outputs
(*.f64 a b)
(*.f64 t z)
(*.f64 a b)
(*.f64 c i)
(*.f64 t z)
(*.f64 c i)
(*.f64 t z)
(*.f64 y x)
(*.f64 t z)
(*.f64 y x)
(*.f64 a b)

Calls

10 calls:

122.0ms	(*.f64 c i)
121.0ms	(*.f64 a b)
113.0ms	a
99.0ms	t
73.0ms	z

Results

Error	Segments	Branch
33.6b	8	`x`
34.7b	5	`y`
32.5b	9	`z`
32.2b	7	`t`
30.4b	12	`a`
31.9b	9	`b`
34.3b	8	`c`
35.2b	6	`i`
28.8b	11	`(*.f64 a b)`
29.2b	9	`(*.f64 c i)`

Compiler

Compiled 123 to 94 computations (23.6% saved)

bsearch264.0ms (1.6%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
27.0ms	2.091612017628143e+77	5.0104663876806054e+82
24.0ms	5.597765517608566e-22	2.6868928383781977e-20
29.0ms	3.4524827158117685e-272	1.1709733278264379e-270
31.0ms	-2.295004615232815e-307	-0.0
27.0ms	-2.2000216942998936e-160	-3.326078565806741e-162
24.0ms	-1.1377419624280116e-120	-2.0074670603190668e-125
25.0ms	-3.3717413330577254e-52	-1.1661991896154851e-52
25.0ms	-1.7133184715305773e-7	-1.9623525828821343e-10
26.0ms	-1.752068487092581e+41	-3.6749257019570877e+39
25.0ms	-1.2262941703047695e+137	-2.3875713838198044e+132

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes262.0ms (1.6%)

Counts

5 → 10

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)

Outputs
(*.f64 a b)
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 a b)
(*.f64 y x)
(*.f64 t z)
(*.f64 y x)
(*.f64 t z)
(*.f64 a b)

Calls

9 calls:

39.0ms	a
35.0ms	c
35.0ms	b
29.0ms	i
28.0ms	z

Results

Error	Segments	Branch
36.7b	4	`x`
34.7b	5	`y`
35.2b	7	`z`
33.9b	6	`t`
31.6b	10	`a`
33.3b	9	`b`
38.3b	8	`c`
39.2b	6	`i`
31.8b	6	`(*.f64 a b)`

Compiler

Compiled 106 to 84 computations (20.8% saved)

bsearch493.0ms (3%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
27.0ms	2.4726653561487757e-88	8.917716585468127e-83
27.0ms	2.0538911176509357e-285	1.0987683304591856e-273
27.0ms	-2.732159090092539e-210	-4.1291678961426904e-215
27.0ms	-196247603231.12012	-4914500770.213065
28.0ms	-3.003169964668077e+34	-1.3119995652070048e+32
148.0ms	-5.937846484319343e+74	-2.1043782475157894e+74
99.0ms	-1.203259262785996e+97	-1.2006644504659833e+95
36.0ms	-1.2925552901049052e+122	-8.83208137738108e+121
73.0ms	-7.657313725444458e+176	-2.3967054675912672e+169

Compiler

Compiled 610 to 505 computations (17.2% saved)

regimes126.0ms (0.8%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 t z)

Outputs
(*.f64 y x)
(*.f64 t z)
(*.f64 y x)

Calls

8 calls:

22.0ms	z
20.0ms	b
17.0ms	i
17.0ms	a
14.0ms	y

Results

Error	Segments	Branch
40.5b	3	`x`
36.4b	3	`y`
38.5b	5	`z`
36.5b	3	`t`
40.8b	5	`a`
40.4b	6	`b`
41.3b	4	`c`
41.4b	5	`i`

Compiler

Compiled 89 to 74 computations (16.9% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	13320579269985864.0	9.211500350329284e+21
27.0ms	-1.2689455329832716e-85	-2.3327680502088145e-91

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes32.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

8 calls:

5.0ms	c
5.0ms	z
3.0ms	y
3.0ms	a
3.0ms	i

Results

Error	Segments	Branch
48.6b	1	`x`
48.6b	1	`y`
48.6b	1	`z`
48.6b	1	`t`
48.6b	1	`a`
48.6b	1	`b`
48.6b	1	`c`
48.6b	1	`i`

Compiler

Compiled 86 to 73 computations (15.1% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1302
1	216	1302

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(if (<=.f64 (.f64 a b) -6472734179549959/37778931862957161709568) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (if (<=.f64 (.f64 a b) 2653646149458805/4096) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))))
(if (<=.f64 (.f64 a b) -140332303685140056084842571785904986547726643732538145424172492362031747973915610630857644592188479569395712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 316371844680392769046223323572550327618197839255580098149443383579813241630534559582217637294243840) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 x y) (*.f64 a b))))
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(if (<=.f64 z -1100000000000000063472951381384528958674477003324228313943569225245646807038118668358096414989516629660925952) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 z -159999999999999991901941647531843018714183201762145611693424640) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 z -1582751570787505/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 z -8302446146557259/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -4406416933352037/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -8590049727408857/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -8451054754624451/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -6822308283278537/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 z 6158655010318985/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 6888868970386111/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z 3433391915809369/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 7878998227229947/696898287454081973172991196020261297061888) (+.f64 (.f64 c i) (.f64 t z)) (+.f64 (.f64 a b) (.f64 t z))))))))))))))
(if (<=.f64 z -1100000000000000063472951381384528958674477003324228313943569225245646807038118668358096414989516629660925952) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 z -52000000000000001000882753953993170648344044213860137704266595176957345792) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -9575870123414639401407414167142400) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -582025291643974005555200) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -8302446146557259/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -4406416933352037/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -8590049727408857/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -8451054754624451/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -6822308283278537/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 z 6158655010318985/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 6888868970386111/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z 3433391915809369/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 7878998227229947/696898287454081973172991196020261297061888) (+.f64 (.f64 c i) (.f64 t z)) (+.f64 (.f64 a b) (.f64 t z)))))))))))))))
(if (<=.f64 (.f64 a b) -6472734179549959/37778931862957161709568) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) -2903213159211245/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 2628556889415371/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 (.f64 a b) 5952565311875797/10633823966279326983230456482242756608) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 2653646149458805/4096) (+.f64 (.f64 y x) (.f64 c i)) (+.f64 (.f64 a b) (*.f64 t z)))))))
(if (<=.f64 (.f64 a b) -122629417030476946694103263219526235565963714681842482060770573077471772883160572189466529871905866357496234595216452318068565113183404032) (.f64 a b) (if (<=.f64 (.f64 a b) -2903213159211245/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 2628556889415371/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 (.f64 a b) 5952565311875797/10633823966279326983230456482242756608) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 316371844680392769046223323572550327618197839255580098149443383579813241630534559582217637294243840) (+.f64 (.f64 y x) (.f64 c i)) (*.f64 a b))))))
(if (<=.f64 (.f64 a b) -122629417030476946694103263219526235565963714681842482060770573077471772883160572189466529871905866357496234595216452318068565113183404032) (.f64 a b) (if (<=.f64 (.f64 a b) 5952565311875797/10633823966279326983230456482242756608) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 1126666953914195/36893488147419103232) (.f64 y x) (if (<=.f64 (.f64 a b) 316371844680392769046223323572550327618197839255580098149443383579813241630534559582217637294243840) (+.f64 (.f64 c i) (.f64 t z)) (*.f64 a b)))))
(if (<=.f64 (.f64 a b) -122629417030476946694103263219526235565963714681842482060770573077471772883160572189466529871905866357496234595216452318068565113183404032) (.f64 a b) (if (<=.f64 (.f64 a b) -175206848709258098322996381766423161077760) (.f64 t z) (if (<=.f64 (.f64 a b) -6472734179549959/37778931862957161709568) (.f64 a b) (if (<=.f64 (.f64 a b) -71017161339581/210624583337114373395836055367340864637790190801098222508621955072) (.f64 c i) (if (<=.f64 (.f64 a b) -3307819666195025/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (.f64 t z) (if (<=.f64 (.f64 a b) -3482446392964687/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 c i) (if (<=.f64 (.f64 a b) -2903213159211245/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (.f64 t z) (if (<=.f64 (.f64 a b) 2628556889415371/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992) (.f64 y x) (if (<=.f64 (.f64 a b) 5952565311875797/10633823966279326983230456482242756608) (.f64 t z) (if (<=.f64 (.f64 a b) 209161201762814288145875956872184458043403247722029418633231477284506339115008) (.f64 y x) (*.f64 a b)))))))))))
(if (<=.f64 a -749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (.f64 a b) (if (<=.f64 a -90000000000000006800931961228246274890770824743556794624097057445823731332426732992791834475517349840499420929268257914880) (.f64 t z) (if (<=.f64 a -12000000000000000124055450146859579749176467229675875251904857976880110483573405688201329179099136) (.f64 a b) (if (<=.f64 a -215000000000000000275433395533360523974013614679511620983498918080706248704) (.f64 y x) (if (<=.f64 a -30031699646680768373111535599353856) (.f64 a b) (if (<=.f64 a -200957545708667/1024) (.f64 y x) (if (<=.f64 a -4045225542461881/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (.f64 t z) (if (<=.f64 a 343869064185375/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (.f64 y x) (if (<=.f64 a 8861022768959085/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 t z) (.f64 a b))))))))))
(if (<=.f64 y -2220401629382261/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 y x) (if (<=.f64 y 13320579269985864) (.f64 t z) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))
(if (<=.f64 (.f64 a b) -6472734179549959/37778931862957161709568) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (if (<=.f64 (.f64 a b) 2653646149458805/4096) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))))
(if (<=.f64 (.f64 a b) -6472734179549959/37778931862957161709568) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (if (<=.f64 (.f64 a b) 2653646149458805/4096) (+.f64 (.f64 c i) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
(if (<=.f64 (.f64 a b) -140332303685140056084842571785904986547726643732538145424172492362031747973915610630857644592188479569395712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 316371844680392769046223323572550327618197839255580098149443383579813241630534559582217637294243840) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 x y) (*.f64 a b))))
(if (<=.f64 (.f64 a b) -140332303685140056084842571785904986547726643732538145424172492362031747973915610630857644592188479569395712) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) 316371844680392769046223323572550327618197839255580098149443383579813241630534559582217637294243840) (+.f64 (.f64 c i) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 a b) (*.f64 x y))))
(if (<=.f64 c -9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 c -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 c -74999999999999996728948283888863373093113435771199596858127251822957592490016768) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 c -44164046997078671684696066078688722110382080) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 c -8548337780160981/618970019642690137449562112) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 c -6093051511967245/50216813883093446110686315385661331328818843555712276103168) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 c -7958421507272197/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 c -3933372687444635/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 c -5852738693563439/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 c 3630759694781145/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 c 237113954404655/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 c 2328722822908029/348449143727040986586495598010130648530944) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 a b) (.f64 c i))))))))))))))
(if (<=.f64 c -9999999999999999363587069377675917736425707327570073564839440723358156278052707548893386994586947577981035182609405692455150664165314335743772262409420005560181719702721238568128862437403998276353831973920663150777435958293799716241167969694049028276224) (+.f64 (.f64 c i) (.f64 z t)) (if (<=.f64 c -999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 c -74999999999999996728948283888863373093113435771199596858127251822957592490016768) (+.f64 (.f64 c i) (.f64 x y)) (if (<=.f64 c -44164046997078671684696066078688722110382080) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 c -8548337780160981/618970019642690137449562112) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 c -6093051511967245/50216813883093446110686315385661331328818843555712276103168) (+.f64 (.f64 c i) (.f64 x y)) (if (<=.f64 c -7958421507272197/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 c -3933372687444635/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (+.f64 (.f64 x y) (.f64 z t)) (if (<=.f64 c -5852738693563439/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 c 3630759694781145/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (+.f64 (.f64 x y) (.f64 z t)) (if (<=.f64 c 237113954404655/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 c 2328722822908029/348449143727040986586495598010130648530944) (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 a b) (.f64 c i))))))))))))))
(if (<=.f64 z -1100000000000000063472951381384528958674477003324228313943569225245646807038118668358096414989516629660925952) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 z -159999999999999991901941647531843018714183201762145611693424640) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 z -1582751570787505/43556142965880123323311949751266331066368) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 z -8302446146557259/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -4406416933352037/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -8590049727408857/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z -8451054754624451/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z -6822308283278537/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 z 6158655010318985/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 6888868970386111/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 z 3433391915809369/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (+.f64 (.f64 x y) (.f64 a b)) (if (<=.f64 z 7878998227229947/696898287454081973172991196020261297061888) (+.f64 (.f64 c i) (.f64 t z)) (+.f64 (.f64 a b) (.f64 t z))))))))))))))
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(if (<=.f64 a -749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (.f64 a b) (if (<=.f64 a -90000000000000006800931961228246274890770824743556794624097057445823731332426732992791834475517349840499420929268257914880) (.f64 t z) (if (<=.f64 a -12000000000000000124055450146859579749176467229675875251904857976880110483573405688201329179099136) (.f64 a b) (if (<=.f64 a -215000000000000000275433395533360523974013614679511620983498918080706248704) (.f64 y x) (if (<=.f64 a -30031699646680768373111535599353856) (.f64 a b) (if (<=.f64 a -200957545708667/1024) (.f64 y x) (if (<=.f64 a -4045225542461881/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (.f64 t z) (if (<=.f64 a 343869064185375/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (.f64 y x) (if (<=.f64 a 8861022768959085/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 t z) (.f64 a b))))))))))
(if (<=.f64 a -749999999999999949350312944765785133449764857862592168398517927210521975591417462549820148886831914818340625653452770338782692455596140847214601237158433015215964412205781221376) (.f64 a b) (if (<=.f64 a -90000000000000006800931961228246274890770824743556794624097057445823731332426732992791834475517349840499420929268257914880) (.f64 z t) (if (<=.f64 a -12000000000000000124055450146859579749176467229675875251904857976880110483573405688201329179099136) (.f64 a b) (if (<=.f64 a -215000000000000000275433395533360523974013614679511620983498918080706248704) (.f64 x y) (if (<=.f64 a -30031699646680768373111535599353856) (.f64 a b) (if (<=.f64 a -200957545708667/1024) (.f64 x y) (if (<=.f64 a -4045225542461881/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (.f64 z t) (if (<=.f64 a 343869064185375/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584) (.f64 x y) (if (<=.f64 a 8861022768959085/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416) (.f64 z t) (.f64 a b))))))))))
(if (<=.f64 y -2220401629382261/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 y x) (if (<=.f64 y 13320579269985864) (.f64 t z) (*.f64 y x)))
(if (<=.f64 y -2220401629382261/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (.f64 x y) (if (<=.f64 y 13320579269985864) (.f64 z t) (*.f64 x y)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 1011 to 421 computations (58.4% saved)

soundness15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`fma-def_binary64`
24×	`associate-+l+_binary64`
21×	`associate-+r+_binary64`
17×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	28	16
2	63	16
3	124	16
4	150	16
5	152	16

Stop Event

1×

saturated

Compiler

Compiled 153 to 97 computations (36.6% saved)

end198.0ms (1.2%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 1067 to 348 computations (67.4% saved)