Details

analyze690.0ms (5.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12

Compiler

Compiled 24 to 16 computations (33.3% saved)

sample3.4s (28.3%)

Results

2.0s	8256×	body	256	valid
1.4s	5733×	body	256	invalid

preprocess51.0ms (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)

simplify8.0ms (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))))

eval2.0ms (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	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
▶	0.0b	(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 61 to 15 computations (75.4% saved)

series24.0ms (0.2%)

Counts

3 → 216

Calls

54 calls:

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

rewrite100.0ms (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 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

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

simplify60.0ms (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	102	2392
3	136	2392
4	140	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 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))))
(+.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)))

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 46 to 12 computations (73.9% saved)

series18.0ms (0.2%)

Counts

2 → 168

Calls

42 calls:

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

rewrite67.0ms (0.6%)

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

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

Outputs

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

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

simplify54.0ms (0.5%)

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 (.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))))
(+.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)))

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

eval52.0ms (0.4%)

Compiler: Compiled 5142 to 1129 computations (78% saved)

prune60.0ms (0.5%)

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
	48.6b	(*.f64 c i)
▶	14.7b	(+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 c i))
▶	14.5b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
▶	45.2b	(*.f64 t z)
▶	46.6b	(*.f64 a b)
	47.8b	(*.f64 y x)
▶	17.7b	(fma.f64 a b (fma.f64 c i (*.f64 y x)))
	14.7b	(fma.f64 c i (fma.f64 t z (*.f64 a b)))
	17.7b	(+.f64 (+.f64 (.f64 y x) (.f64 a b)) (*.f64 c i))

Compiler

Compiled 270 to 194 computations (28.1% saved)

localize15.0ms (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)

series10.0ms (0.1%)

Counts

2 → 30

Calls

30 calls:

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

rewrite77.0ms (0.6%)

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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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)))))))

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	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 (0.1%)

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

localize5.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 13 computations (68.3% saved)

series9.0ms (0.1%)

Counts

2 → 120

Calls

30 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	258	20
2	3659	20

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	1080
1	30	1080
2	42	1080
3	44	1080

Stop Event

1×

saturated

Counts

303 → 193

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 11 computations (65.6% saved)

series6.0ms (0.1%)

Counts

1 → 72

Calls

18 calls:

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

rewrite55.0ms (0.5%)

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

Outputs

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	744
1	30	744
2	42	744
3	44	744

Stop Event

1×

saturated

Counts

94 → 34

Calls

Call 1

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

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

eval86.0ms (0.7%)

Compiler: Compiled 6574 to 1604 computations (75.6% saved)

prune92.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	398	8	406
Fresh	2	2	4
Picked	0	1	1
Done	1	3	4
Total	401	14	415

Error

Counts

415 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(fma.f64 c i (*.f64 a b))
✓	14.5b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
	33.9b	(+.f64 (.f64 c i) (.f64 y x))
	32.5b	(+.f64 (.f64 c i) (.f64 a b))
✓	45.2b	(*.f64 t z)
▶	30.9b	(+.f64 (.f64 c i) (.f64 t z))
▶	48.6b	(*.f64 c i)
	33.9b	(fma.f64 c i (*.f64 y x))
✓	46.6b	(*.f64 a b)
	47.8b	(*.f64 y x)
✓	17.7b	(fma.f64 a b (fma.f64 c i (*.f64 y x)))
▶	29.2b	(+.f64 (.f64 a b) (.f64 t z))
▶	31.8b	(+.f64 (.f64 a b) (.f64 y x))
	30.9b	(fma.f64 t z (*.f64 c i))

Compiler

Compiled 336 to 248 computations (26.2% 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	t	@	-inf	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	z	@	-inf	(+.f64 (.f64 a b) (.f64 t z))
0.0ms	a	@	-inf	(+.f64 (.f64 a b) (.f64 t z))

rewrite56.0ms (0.5%)

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))))))

simplify8.0ms (0.1%)

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)

localize5.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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 y x))
0.0ms	b	@	-inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	y	@	-inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	x	@	inf	(+.f64 (.f64 a b) (.f64 y x))
0.0ms	b	@	inf	(+.f64 (.f64 a b) (.f64 y x))

rewrite61.0ms (0.5%)

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 y x))

Outputs

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

simplify7.0ms (0.1%)

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

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

localize11.0ms (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	t	@	inf	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	i	@	inf	(+.f64 (.f64 c i) (.f64 t z))
0.0ms	c	@	-inf	(+.f64 (.f64 c i) (.f64 t z))

rewrite54.0ms (0.5%)

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))))))

simplify7.0ms (0.1%)

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)

localize9.0ms (0.1%)

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

eval24.0ms (0.2%)

Compiler: Compiled 1628 to 494 computations (69.7% saved)

prune33.0ms (0.3%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	4	5
Picked	0	1	1
Done	1	7	8
Total	117	14	131

Error

Counts

131 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(fma.f64 z t (*.f64 c i))
	33.9b	(fma.f64 c i (*.f64 y x))
✓	32.5b	(fma.f64 c i (*.f64 a b))
✓	14.5b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
▶	33.9b	(+.f64 (.f64 c i) (.f64 y x))
▶	32.5b	(+.f64 (.f64 c i) (.f64 a b))
✓	45.2b	(*.f64 t z)
✓	29.2b	(+.f64 (.f64 a b) (.f64 t z))
▶	31.8b	(fma.f64 b a (*.f64 y x))
✓	30.9b	(+.f64 (.f64 c i) (.f64 t z))
✓	48.6b	(*.f64 c i)
✓	46.6b	(*.f64 a b)
▶	47.8b	(*.f64 y x)
✓	31.8b	(+.f64 (.f64 a b) (.f64 y x))

Compiler

Compiled 277 to 205 computations (26% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite47.0ms (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 z t (*.f64 c i))

Outputs

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

simplify12.0ms (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 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))
(+.f64 (.f64 c i) (.f64 t z))

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

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 a b))

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 30

Calls

12 calls:

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

rewrite54.0ms (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 a b))

Outputs

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

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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 y x))
0.0ms	i	@	0	(+.f64 (.f64 c i) (.f64 y x))
0.0ms	c	@	inf	(+.f64 (.f64 c i) (.f64 y x))
0.0ms	i	@	-inf	(+.f64 (.f64 c i) (.f64 y x))
0.0ms	y	@	-inf	(+.f64 (.f64 c i) (.f64 y x))

rewrite53.0ms (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 y x))

Outputs

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

simplify7.0ms (0.1%)

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

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

localize9.0ms (0.1%)

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

eval20.0ms (0.2%)

Compiler: Compiled 1352 to 402 computations (70.3% saved)

prune30.0ms (0.2%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	0	1
Picked	0	1	1
Done	0	12	12
Total	104	14	118

Error

Counts

118 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(fma.f64 c i (*.f64 a b))
✓	14.5b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
✓	33.9b	(+.f64 (.f64 c i) (.f64 y x))
✓	32.5b	(+.f64 (.f64 c i) (.f64 a b))
✓	45.2b	(*.f64 t z)
✓	29.2b	(+.f64 (.f64 a b) (.f64 t z))
✓	31.8b	(fma.f64 b a (*.f64 y x))
✓	30.9b	(+.f64 (.f64 c i) (.f64 t z))
✓	48.6b	(*.f64 c i)
✓	30.9b	(fma.f64 z t (*.f64 c i))
✓	46.6b	(*.f64 a b)
✓	47.8b	(*.f64 y x)
✓	31.8b	(+.f64 (.f64 a b) (.f64 y x))
	33.9b	(fma.f64 i c (*.f64 y x))

Compiler

Compiled 194 to 144 computations (25.8% saved)

regimes336.0ms (2.8%)

Counts

22 → 1

Calls

Call 1

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

42.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
33.0ms	x
28.0ms	(*.f64 x y)
21.0ms	(+.f64 (.f64 x y) (.f64 z t))
18.0ms	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 (.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 229 computations (44% saved)

regimes255.0ms (2.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

15 calls:

51.0ms	i
43.0ms	y
13.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
13.0ms	a
13.0ms	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 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 176 computations (46.7% saved)

regimes381.0ms (3.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

10 calls:

85.0ms	(*.f64 a b)
60.0ms	a
45.0ms	b
35.0ms	y
32.0ms	i

Results

Error	Segments	Branch
6.9b	4	`x`
6.7b	5	`y`
6.9b	3	`z`
7.1b	3	`t`
8.0b	7	`a`
9.7b	6	`b`
7.8b	3	`c`
7.7b	3	`i`
8.9b	8	`(*.f64 a b)`
4.1b	3	`(*.f64 c i)`

Compiler

Compiled 182 to 105 computations (42.3% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	9.794129869804682e+65	1.1815602745478598e+73
44.0ms	-6.552475320183716e+67	-1.532749344930522e+65

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes349.0ms (2.9%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

10 calls:

51.0ms	y
44.0ms	a
44.0ms	z
44.0ms	(*.f64 a b)
39.0ms	t

Results

Error	Segments	Branch
8.5b	3	`x`
6.3b	8	`y`
10.2b	6	`z`
9.3b	5	`t`
8.0b	7	`a`
10.9b	4	`b`
8.5b	3	`c`
7.8b	3	`i`
10.6b	7	`(*.f64 a b)`
4.5b	3	`(*.f64 c i)`

Compiler

Compiled 171 to 103 computations (39.8% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.855395496097922e+75	6.524965934140518e+79
24.0ms	-497.7125978490741	-0.0217263535246962

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes238.0ms (2%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

10 calls:

47.0ms	z
39.0ms	x
30.0ms	a
29.0ms	(*.f64 c i)
22.0ms	y

Results

Error	Segments	Branch
9.7b	5	`x`
10.1b	3	`y`
11.0b	7	`z`
13.0b	3	`t`
11.2b	5	`a`
14.7b	1	`b`
13.5b	3	`c`
13.2b	3	`i`
14.7b	1	`(*.f64 a b)`
12.1b	5	`(*.f64 c i)`

Compiler

Compiled 160 to 101 computations (36.9% saved)

bsearch297.0ms (2.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	8.81942464379364e-123	2.6815466979532874e-120
138.0ms	-7.234770067751775e+130	-1.0326970788283165e+128
54.0ms	-6.1264278257975265e+147	-1.0429111085528893e+147
54.0ms	-1.2560132232536473e+234	-1.6497316609395507e+224

Compiler

Compiled 898 to 649 computations (27.7% saved)

regimes475.0ms (4%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

10 calls:

61.0ms	z
59.0ms	b
58.0ms	i
55.0ms	x
47.0ms	(*.f64 c i)

Results

Error	Segments	Branch
16.9b	10	`x`
17.7b	6	`y`
15.8b	11	`z`
18.8b	6	`t`
18.3b	8	`a`
16.5b	11	`b`
19.4b	5	`c`
17.9b	10	`i`
15.4b	7	`(*.f64 a b)`
15.3b	7	`(*.f64 c i)`

Compiler

Compiled 149 to 99 computations (33.6% saved)

bsearch146.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	2.955115648612862e+56	2.5403001366645286e+59
24.0ms	2.702253921001196e-32	4.311429819953359e-27
24.0ms	1.788175022096186e-58	7.018401788796917e-56
24.0ms	-1.1964602259079888e-224	-6.4492356733796145e-239
26.0ms	-9.235571947182081e-87	-1.7157766087534746e-95
24.0ms	-6.552475320183716e+67	-1.532749344930522e+65

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes598.0ms (5%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

10 calls:

110.0ms	y
107.0ms	x
95.0ms	z
72.0ms	a
55.0ms	t

Results

Error	Segments	Branch
17.1b	10	`x`
16.8b	8	`y`
17.3b	9	`z`
20.2b	4	`t`
17.0b	10	`a`
17.7b	9	`b`
20.8b	3	`c`
19.7b	8	`i`
15.9b	7	`(*.f64 a b)`
18.1b	3	`(*.f64 c i)`

Compiler

Compiled 142 to 98 computations (31% saved)

bsearch189.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
44.0ms	7.016688697307986e+45	1.7878074252823242e+56
46.0ms	219660442780658.6	185723890452973700.0
49.0ms	1.1477818983799606e-96	2.643830831904012e-95
0.0ms	5.375343694468345e-173	5.410324953266254e-173
0.0ms	-6.1916e-320	-8.493e-321
49.0ms	-2.70639484167812e+55	-2.997917932771284e+51

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes404.0ms (3.4%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

10 calls:

69.0ms	(*.f64 c i)
43.0ms	c
42.0ms	i
38.0ms	x
38.0ms	a

Results

Error	Segments	Branch
20.9b	7	`x`
19.9b	7	`y`
19.7b	8	`z`
21.7b	6	`t`
20.5b	8	`a`
19.9b	8	`b`
24.7b	9	`c`
24.1b	8	`i`
17.3b	7	`(*.f64 a b)`
25.5b	6	`(*.f64 c i)`

Compiler

Compiled 135 to 97 computations (28.1% saved)

bsearch100.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	2.4995343008912378e+104	6.100242117843106e+108
25.0ms	3.684930364342622e+76	7.64280995792488e+89
25.0ms	1.1477818983799606e-96	2.643830831904012e-95
0.0ms	5.375343694468345e-173	5.410324953266254e-173
0.0ms	-6.1916e-320	-8.493e-321
25.0ms	-2.70639484167812e+55	-2.997917932771284e+51

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes302.0ms (2.5%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

10 calls:

46.0ms	z
36.0ms	(*.f64 c i)
32.0ms	t
29.0ms	(*.f64 a b)
29.0ms	c

Results

Error	Segments	Branch
23.0b	6	`x`
22.6b	5	`y`
21.8b	10	`z`
23.9b	6	`t`
23.9b	6	`a`
24.0b	5	`b`
27.4b	6	`c`
27.7b	3	`i`
19.9b	7	`(*.f64 a b)`
25.3b	7	`(*.f64 c i)`

Compiler

Compiled 128 to 96 computations (25% saved)

bsearch121.0ms (1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	3.684930364342622e+76	7.64280995792488e+89
24.0ms	1.1477818983799606e-96	2.643830831904012e-95
24.0ms	1.2963300845675692e-159	1.0139835745103014e-158
0.0ms	-6.1916e-320	-8.493e-321
23.0ms	-3.216921093739587e-183	-2.3136577571339836e-185
25.0ms	-8.964551718449584e+21	-3.4944657696809485e-14

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes358.0ms (3%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

10 calls:

59.0ms	a
49.0ms	y
43.0ms	(*.f64 c i)
35.0ms	x
31.0ms	i

Results

Error	Segments	Branch
27.4b	8	`x`
25.5b	11	`y`
24.6b	7	`z`
26.3b	5	`t`
26.4b	7	`a`
25.9b	7	`b`
29.2b	7	`c`
27.8b	8	`i`
21.9b	7	`(*.f64 a b)`
25.5b	10	`(*.f64 c i)`

Compiler

Compiled 121 to 95 computations (21.5% saved)

bsearch151.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	3.684930364342622e+76	7.64280995792488e+89
24.0ms	1.1477818983799606e-96	2.643830831904012e-95
49.0ms	1.2963300845675692e-159	1.0139835745103014e-158
0.0ms	-6.1916e-320	-8.493e-321
25.0ms	-3.216921093739587e-183	-2.3136577571339836e-185
27.0ms	-2.70639484167812e+55	-2.997917932771284e+51

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes502.0ms (4.2%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

10 calls:

100.0ms	i
94.0ms	c
58.0ms	x
55.0ms	(*.f64 c i)
44.0ms	a

Results

Error	Segments	Branch
35.1b	7	`x`
34.1b	7	`y`
35.1b	6	`z`
33.5b	8	`t`
31.0b	12	`a`
32.5b	10	`b`
32.0b	14	`c`
32.6b	13	`i`
30.9b	6	`(*.f64 a b)`
30.7b	7	`(*.f64 c i)`

Compiler

Compiled 114 to 94 computations (17.5% saved)

bsearch180.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	2.955115648612862e+56	2.5403001366645286e+59
24.0ms	9.067602372408774e-213	1.3278990929049539e-207
25.0ms	1.228446676082557e-258	2.5389191963869487e-252
25.0ms	-4.063910719074392e-305	-0.0
25.0ms	-9.235571947182081e-87	-1.7157766087534746e-95
56.0ms	-6.552475320183716e+67	-1.532749344930522e+65

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes291.0ms (2.4%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

10 calls:

47.0ms	i
42.0ms	x
32.0ms	c
30.0ms	y
28.0ms	t

Results

Error	Segments	Branch
36.6b	12	`x`
38.1b	8	`y`
35.3b	6	`z`
35.0b	7	`t`
35.2b	7	`a`
36.3b	5	`b`
34.8b	9	`c`
33.6b	14	`i`
30.9b	6	`(*.f64 a b)`
31.7b	6	`(*.f64 c i)`

Compiler

Compiled 111 to 93 computations (16.2% saved)

bsearch125.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
24.0ms	7.016688697307986e+45	1.7878074252823242e+56
25.0ms	1.1477818983799606e-96	2.643830831904012e-95
25.0ms	1.2963300845675692e-159	1.0139835745103014e-158
25.0ms	2.9352658655117442e-276	5.854255003085112e-275
25.0ms	-2.70639484167812e+55	-2.997917932771284e+51

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes135.0ms (1.1%)

Accuracy

Total -27.4b remaining (-78.1%)

Threshold costs -27.4b (-78.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

9 calls:

27.0ms	x
18.0ms	a
17.0ms	i
17.0ms	b
15.0ms	y

Results

Error	Segments	Branch
39.4b	9	`x`
41.8b	4	`y`
38.4b	3	`z`
37.9b	3	`t`
41.2b	5	`a`
41.4b	6	`b`
38.7b	3	`c`
39.3b	5	`i`
35.1b	3	`(*.f64 c i)`

Compiler

Compiled 97 to 83 computations (14.4% saved)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	9.794129869804682e+65	1.1815602745478598e+73
24.0ms	-6.552475320183716e+67	-1.532749344930522e+65

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1019
1	156	1019

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 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (+.f64 (+.f64 (.f64 y x) (.f64 a b)) (.f64 c i)) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (+.f64 (.f64 y x) (.f64 a b)) (*.f64 c i))))
(if (<=.f64 (.f64 c i) -4377926309005257/8796093022208) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (if (<=.f64 (.f64 c i) 2855395496097921976532978994912758424637618533088391856741016539748022353920) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 c i))))
(if (<=.f64 x -1250000000000000066457524578324561294504236821905637621669621623380486440286520699324375536418663113628215210226564011745368805642256706734146152038627550484587396299666777939181218835470354153904432972941143508401404616321294892269568) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 x -1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (if (<=.f64 x -72000000000000002334281323895992332718642884809653562848914824864646125683993472529149945880818999534095597599913347457502968545280) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 x 6564146541686995/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (+.f64 (.f64 c i) (.f64 y x))))))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (+.f64 (.f64 c i) (.f64 a b)) (if (<=.f64 (.f64 c i) -5171330927426473/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) -79780140547211600/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 2527545431280535/14134776518227074636666380005943348126619871175004951664972849610340958208) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) 39493485300271000/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 295511564861286205037286070829306617341376818565915607040) (+.f64 (.f64 a b) (.f64 t z)) (+.f64 (.f64 c i) (.f64 y x))))))))
(if (<=.f64 (.f64 a b) -27063948416781197545160941380348611664216805512413446144) (+.f64 (.f64 c i) (.f64 a b)) (if (<=.f64 (.f64 a b) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 1879667612850941/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 1380154708010151/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 7029134168981075/32) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 7016688697307986080253136876024829686233169920) (+.f64 (.f64 c i) (.f64 t z)) (+.f64 (.f64 a b) (.f64 t z))))))))
(if (<=.f64 (.f64 a b) -27063948416781197545160941380348611664216805512413446144) (+.f64 (.f64 c i) (.f64 a b)) (if (<=.f64 (.f64 a b) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 1879667612850941/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 1380154708010151/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 (.f64 c i) (.f64 t z)) (if (<=.f64 (.f64 a b) 36849303643426220011420030699847743951909687871921658188456119019531466178560) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 249953430089123779664093269740815019179566818334488857989297329475301108287008619014538115327769270288384) (.f64 t z) (+.f64 (.f64 c i) (*.f64 a b))))))))
(if (<=.f64 (.f64 a b) -8964551718449584275456) (+.f64 (.f64 c i) (.f64 a b)) (if (<=.f64 (.f64 a b) -7694980985264857/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (.f64 t z) (if (<=.f64 (.f64 a b) 5129949444124167/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 1380154708010151/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (.f64 t z) (if (<=.f64 (.f64 a b) 36849303643426220011420030699847743951909687871921658188456119019531466178560) (+.f64 (.f64 c i) (.f64 y x)) (+.f64 (.f64 c i) (.f64 a b))))))))
(if (<=.f64 (.f64 a b) -27063948416781197545160941380348611664216805512413446144) (.f64 a b) (if (<=.f64 (.f64 a b) -7694980985264857/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) -33161216/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (.f64 t z) (if (<=.f64 (.f64 a b) 5129949444124167/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (+.f64 (.f64 c i) (.f64 y x)) (if (<=.f64 (.f64 a b) 1380154708010151/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (.f64 t z) (if (<=.f64 (.f64 a b) 36849303643426220011420030699847743951909687871921658188456119019531466178560) (+.f64 (.f64 c i) (.f64 y x)) (.f64 a b)))))))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (.f64 c i) (if (<=.f64 (.f64 c i) -5171330927426473/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 t z) (if (<=.f64 (.f64 c i) -8032662956839745/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616) (.f64 a b) (if (<=.f64 (.f64 c i) 2658228882498359/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256) (.f64 t z) (if (<=.f64 (.f64 c i) 14077616736953452544/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 y x) (if (<=.f64 (.f64 c i) 295511564861286205037286070829306617341376818565915607040) (.f64 a b) (*.f64 c i)))))))
(if (<=.f64 (.f64 a b) -27063948416781197545160941380348611664216805512413446144) (.f64 a b) (if (<=.f64 (.f64 a b) 7322902416987071/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 t z) (if (<=.f64 (.f64 a b) 5129949444124167/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (.f64 c i) (if (<=.f64 (.f64 a b) 1380154708010151/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (.f64 t z) (if (<=.f64 (.f64 a b) 7016688697307986080253136876024829686233169920) (.f64 c i) (*.f64 a b))))))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (.f64 c i) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (.f64 t z) (*.f64 c i)))
(*.f64 c i)

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 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (+.f64 (+.f64 (.f64 y x) (.f64 a b)) (.f64 c i)) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (+.f64 (.f64 y x) (.f64 a b)) (*.f64 c i))))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (.f64 x y))) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 x y)))))
(if (<=.f64 (.f64 c i) -4377926309005257/8796093022208) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (if (<=.f64 (.f64 c i) 2855395496097921976532978994912758424637618533088391856741016539748022353920) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 c i))))
(if (<=.f64 (.f64 c i) -4377926309005257/8796093022208) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (.f64 z t))) (if (<=.f64 (.f64 c i) 2855395496097921976532978994912758424637618533088391856741016539748022353920) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (*.f64 z t)))))
(if (<=.f64 x -1250000000000000066457524578324561294504236821905637621669621623380486440286520699324375536418663113628215210226564011745368805642256706734146152038627550484587396299666777939181218835470354153904432972941143508401404616321294892269568) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 x -1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (if (<=.f64 x -72000000000000002334281323895992332718642884809653562848914824864646125683993472529149945880818999534095597599913347457502968545280) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 x 6564146541686995/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 c i)) (+.f64 (.f64 c i) (.f64 y x))))))
(if (<=.f64 x -1250000000000000066457524578324561294504236821905637621669621623380486440286520699324375536418663113628215210226564011745368805642256706734146152038627550484587396299666777939181218835470354153904432972941143508401404616321294892269568) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 x -1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (.f64 z t))) (if (<=.f64 x -72000000000000002334281323895992332718642884809653562848914824864646125683993472529149945880818999534095597599913347457502968545280) (+.f64 (.f64 a b) (.f64 x y)) (if (<=.f64 x 6564146541686995/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (+.f64 (.f64 c i) (+.f64 (.f64 a b) (.f64 z t))) (+.f64 (.f64 c i) (.f64 x y))))))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (+.f64 (.f64 c i) (.f64 a b)) (if (<=.f64 (.f64 c i) -5171330927426473/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) -79780140547211600/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 2527545431280535/14134776518227074636666380005943348126619871175004951664972849610340958208) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) 39493485300271000/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 295511564861286205037286070829306617341376818565915607040) (+.f64 (.f64 a b) (.f64 t z)) (+.f64 (.f64 c i) (.f64 y x))))))))
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(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (.f64 c i) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (.f64 t z) (*.f64 c i)))
(if (<=.f64 (.f64 c i) -65524753201837163975559014678290354549117950335734708880430864531456) (.f64 c i) (if (<=.f64 (.f64 c i) 979412986980468208451803040704921623786331806041656520540600401920) (.f64 z t) (*.f64 c i)))
(*.f64 c i)

Compiler

Compiled 814 to 344 computations (57.7% saved)

soundness12.0ms (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)

end149.0ms (1.2%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 870 to 274 computations (68.5% saved)