Details

analyze495.0ms (3.7%)

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)

sample3.0s (22.5%)

Results

1.7s	8256×	body	256	valid
1.2s	5760×	body	256	invalid

preprocess96.0ms (0.7%)

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)

simplify15.0ms (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))))

eval12.0ms (0.1%)

Compiler: Compiled 35 to 18 computations (48.6% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 x y (fma.f64 z t (fma.f64 c i (*.f64 a b))))
▶	0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 61 to 15 computations (75.4% saved)

series41.0ms (0.3%)

Counts

3 → 216

Calls

54 calls:

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

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

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

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

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

373 → 178

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series38.0ms (0.3%)

Counts

3 → 216

Calls

54 calls:

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

rewrite92.0ms (0.7%)

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	36
1	255	36
2	3038	36

Stop Event

1×	node limit

Counts

3 → 92

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

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

simplify100.0ms (0.7%)

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	26	2392
1	62	2392
2	103	2392
3	123	2392
4	127	2392

Stop Event

1×

saturated

Counts

308 → 113

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

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

eval110.0ms (0.8%)

Compiler: Compiled 5667 to 1284 computations (77.3% saved)

prune131.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	281	10	291
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	283	10	293

Error

Counts

293 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.7b	(*.f64 t z)
▶	0.0b	(+.f64 (+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (*.f64 c i))
	17.2b	(fma.f64 x y (+.f64 (.f64 a b) (.f64 t z)))
	15.6b	(fma.f64 c i (fma.f64 a b (*.f64 t z)))
	45.7b	(*.f64 c i)
▶	48.3b	(*.f64 a b)
▶	14.4b	(+.f64 (.f64 c i) (+.f64 (.f64 y x) (*.f64 t z)))
	17.2b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
▶	31.7b	(+.f64 (.f64 a b) (.f64 c i))
	48.0b	(*.f64 y x)

Compiler

Compiled 308 to 220 computations (28.6% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 55 to 14 computations (74.5% saved)

series33.0ms (0.2%)

Counts

3 → 216

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
1.0ms	y	@	0	(+.f64 (+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (*.f64 c i))
1.0ms	z	@	0	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
1.0ms	z	@	inf	(+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b))
1.0ms	i	@	-inf	(+.f64 (+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (*.f64 c i))

rewrite135.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`log-prod_binary64`
713×	`fma-def_binary64`
327×	`fma-neg_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	316	36
2	4351	36

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

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

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

414 → 219

Calls

Call 1

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

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

localize11.0ms (0.1%)

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

localize8.0ms (0.1%)

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 a b) (.f64 c i))

Compiler

Compiled 25 to 11 computations (56% saved)

series4.0ms (0%)

Counts

1 → 30

Calls

12 calls:

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

67 → 40

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 13 computations (68.3% saved)

series10.0ms (0.1%)

Counts

2 → 30

Calls

30 calls:

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x (*.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) (*.f64 t z))) (/.f64 (pow.f64 (*.f64 t z) 2) (-.f64 (*.f64 y x) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (*.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (*.f64 t z))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 t z))) 2) (cbrt.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (*.f64 t z))) (sqrt.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3)) (/.f64 1 (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 t z) 2)) (/.f64 1 (-.f64 (*.f64 y x) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 t z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3)) (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3)) (+.f64 (pow.f64 (*.f64 t z) 2) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y x) (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 t z) 2)) (-.f64 (*.f64 y x) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3))) (neg.f64 (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 t z) 2))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 t z) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 t z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (*.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 t z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 t z) (-.f64 (*.f64 t z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 t z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 t z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 t z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 t) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 t z))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 t) z) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 t z))) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z t (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t z) 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.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) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.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 y x))))) (#(struct:change 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simplify12.0ms (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 c i)
(*.f64 c i)
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 c i)
(*.f64 c i)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 t z))
(*.f64 y x)
(*.f64 y x)
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 t z)
(*.f64 t z)
(+.f64 (.f64 c i) (.f64 y x))
(*.f64 t z)
(*.f64 t z)

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

eval102.0ms (0.8%)

Compiler: Compiled 7898 to 1775 computations (77.5% saved)

prune106.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	433	5	438
Fresh	1	4	5
Picked	1	0	1
Done	1	3	4
Total	436	12	448

Error

Counts

448 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	17.2b	(fma.f64 x y (+.f64 (.f64 a b) (.f64 t z)))
▶	31.6b	(fma.f64 t z (*.f64 y x))
▶	15.6b	(fma.f64 c i (fma.f64 a b (*.f64 t z)))
	31.1b	(+.f64 (.f64 y x) (.f64 c i))
▶	31.6b	(+.f64 (.f64 y x) (.f64 t z))
✓	48.3b	(*.f64 a b)
▶	29.7b	(+.f64 (.f64 t z) (.f64 c i))
✓	46.7b	(*.f64 t z)
▶	45.7b	(*.f64 c i)
	17.2b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
✓	31.7b	(+.f64 (.f64 a b) (.f64 c i))
	48.0b	(*.f64 y x)

Compiler

Compiled 307 to 223 computations (27.4% saved)

localize13.0ms (0.1%)

Compiler: Compiled 32 to 11 computations (65.6% saved)

localize5.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (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 t z) (.f64 c i))

Outputs

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

85 → 40

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite55.0ms (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 t z (*.f64 y x))

Outputs

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

69 → 24

Calls

Call 1

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

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

eval30.0ms (0.2%)

Compiler: Compiled 1712 to 523 computations (69.5% saved)

prune59.0ms (0.4%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	1	3	4
Picked	0	1	1
Done	0	7	7
Total	131	14	145

Error

Counts

145 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.2b	(fma.f64 x y (+.f64 (.f64 a b) (.f64 t z)))
✓	31.6b	(fma.f64 t z (*.f64 y x))
✓	15.6b	(fma.f64 c i (fma.f64 a b (*.f64 t z)))
▶	31.1b	(+.f64 (.f64 y x) (.f64 c i))
✓	31.6b	(+.f64 (.f64 y x) (.f64 t z))
▶	48.0b	(*.f64 y x)
✓	48.3b	(*.f64 a b)
✓	29.7b	(+.f64 (.f64 t z) (.f64 c i))
▶	29.7b	(fma.f64 i c (*.f64 t z))
✓	46.7b	(*.f64 t z)
✓	45.7b	(*.f64 c i)
	31.6b	(fma.f64 y x (*.f64 t z))
▶	17.2b	(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
✓	31.7b	(+.f64 (.f64 a b) (.f64 c i))

Compiler

Compiled 291 to 211 computations (27.5% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 12 computations (67.6% saved)

series9.0ms (0.1%)

Counts

2 → 84

Calls

30 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
406×	`pow-prod-down_binary64`
371×	`fma-def_binary64`
312×	`pow2_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	227	20
2	2978	20

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	792
1	26	792
2	39	792
3	43	792

Stop Event

1×

saturated

Counts

192 → 118

Calls

Call 1

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

localize6.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite55.0ms (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 y x) (.f64 c i))

Outputs

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

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

85 → 40

Calls

Call 1

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

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

localize14.0ms (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)

series5.0ms (0%)

Counts

1 → 18

Calls

18 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

121 → 112

Calls

Call 1

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

localize9.0ms (0.1%)

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

eval73.0ms (0.5%)

Compiler: Compiled 5302 to 1399 computations (73.6% saved)

prune78.0ms (0.6%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	334	5	339
Fresh	1	0	1
Picked	0	1	1
Done	3	9	12
Total	338	15	353

Error

Counts

353 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(fma.f64 a b (*.f64 t z))
✓	31.6b	(fma.f64 t z (*.f64 y x))
	32.6b	(+.f64 (.f64 a b) (.f64 t z))
✓	31.1b	(+.f64 (.f64 y x) (.f64 c i))
✓	31.6b	(+.f64 (.f64 y x) (.f64 t z))
✓	48.0b	(*.f64 y x)
✓	48.3b	(*.f64 a b)
✓	29.7b	(+.f64 (.f64 t z) (.f64 c i))
✓	29.7b	(fma.f64 i c (*.f64 t z))
✓	46.7b	(*.f64 t z)
✓	45.7b	(*.f64 c i)
	33.8b	(fma.f64 y x (*.f64 a b))
	33.8b	(+.f64 (.f64 a b) (.f64 y x))
✓	31.7b	(+.f64 (.f64 a b) (.f64 c i))
	31.6b	(fma.f64 y x (*.f64 t z))

Compiler

Compiled 204 to 152 computations (25.5% saved)

regimes254.0ms (1.9%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

18 calls:

18.0ms	a
16.0ms	(+.f64 (.f64 x y) (.f64 z t))
15.0ms	(+.f64 (.f64 x y) (.f64 z t))
14.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
14.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

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 z t)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`
0.0b	1	`(*.f64 c i)`

Compiler

Compiled 404 to 210 computations (48% saved)

regimes191.0ms (1.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

15 calls:

14.0ms	t
13.0ms	y
13.0ms	z
13.0ms	a
13.0ms	b

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 324 to 170 computations (47.5% saved)

regimes337.0ms (2.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

10 calls:

57.0ms	y
52.0ms	t
44.0ms	z
36.0ms	x
31.0ms	i

Results

Error	Segments	Branch
10.9b	4	`x`
8.8b	8	`y`
10.4b	5	`z`
9.9b	7	`t`
7.1b	3	`a`
8.2b	3	`b`
6.9b	3	`c`
8.3b	3	`i`
3.7b	3	`(*.f64 a b)`
5.8b	3	`(*.f64 c i)`

Compiler

Compiled 184 to 102 computations (44.6% saved)

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.0305608485718354e+20	4.056394255028278e+44
24.0ms	-4.59897655652324e+99	-1.6003766772217055e+96

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes402.0ms (3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

10 calls:

67.0ms	b
62.0ms	a
55.0ms	z
47.0ms	y
39.0ms	t

Results

Error	Segments	Branch
11.8b	5	`x`
10.5b	7	`y`
10.2b	7	`z`
11.4b	5	`t`
7.9b	5	`a`
9.9b	5	`b`
12.5b	3	`c`
12.9b	3	`i`
5.3b	3	`(*.f64 a b)`
10.9b	5	`(*.f64 c i)`

Compiler

Compiled 173 to 101 computations (41.6% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.0305608485718354e+20	4.056394255028278e+44
26.0ms	-4.59897655652324e+99	-1.6003766772217055e+96

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes724.0ms (5.4%)

Counts

12 → 12

Calls

Call 1

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

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

Calls

10 calls:

124.0ms	t
97.0ms	x
89.0ms	b
82.0ms	i
77.0ms	a

Results

Error	Segments	Branch
17.9b	6	`x`
19.6b	6	`y`
16.5b	8	`z`
14.9b	13	`t`
16.9b	7	`a`
17.1b	10	`b`
15.8b	8	`c`
14.8b	11	`i`
13.4b	12	`(*.f64 a b)`
15.2b	5	`(*.f64 c i)`

Compiler

Compiled 162 to 100 computations (38.3% saved)

bsearch450.0ms (3.3%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
52.0ms	1.94523397463608e+110	4.2644673434463955e+110
60.0ms	6.717108196425891e+79	1.4679447567906623e+80
50.0ms	7.731835391626913e+58	3.376087757911378e+63
31.0ms	5547118151904124.0	1.0305608485718354e+20
35.0ms	8.666019754023415e-66	3.640329777934469e-64
29.0ms	1.4500433854554794e-200	2.4585823054753906e-196
0.0ms	0.0	1.1177894e-317
40.0ms	-2.7418902451002085e-111	-1.6542614620583652e-115
49.0ms	-8582.153912381755	-615.1546661299858
54.0ms	-290858446975096.4	-37281017931.413445
49.0ms	-4.59897655652324e+99	-1.6003766772217055e+96

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes512.0ms (3.8%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

10 calls:

75.0ms	i
59.0ms	c
59.0ms	b
55.0ms	t
55.0ms	z

Results

Error	Segments	Branch
17.2b	7	`x`
20.8b	4	`y`
17.9b	8	`z`
17.2b	8	`t`
16.9b	7	`a`
18.4b	8	`b`
16.1b	8	`c`
16.0b	10	`i`
15.9b	6	`(*.f64 a b)`
15.2b	7	`(*.f64 c i)`

Compiler

Compiled 155 to 99 computations (36.1% saved)

bsearch118.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	1.1710804514326169e+55	1.758324007983912e+61
0.0ms	5.4e-322	1.7095e-320
23.0ms	-3.401675787281868e-202	-2.5935080558710613e-216
24.0ms	-5.073986458595875e-63	-1.0286756159049391e-63
24.0ms	-2.7199292467088673e-11	-1.3895319628607364e-15
24.0ms	-9.807819972756106e+26	-2.6484923562951963e+24

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes445.0ms (3.3%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

10 calls:

68.0ms	a
58.0ms	c
53.0ms	i
52.0ms	z
50.0ms	x

Results

Error	Segments	Branch
19.1b	9	`x`
20.8b	5	`y`
17.9b	8	`z`
19.0b	7	`t`
17.4b	11	`a`
21.0b	5	`b`
18.6b	10	`c`
16.4b	9	`i`
16.4b	6	`(*.f64 a b)`
17.1b	5	`(*.f64 c i)`

Compiler

Compiled 148 to 98 computations (33.8% saved)

bsearch432.0ms (3.2%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
92.0ms	1.355313782469687e+165	3.978013827450068e+167
81.0ms	7.53478138031798e+141	7.902352457099105e+143
131.0ms	4.517707690987452e+83	9.799072543542813e+88
25.0ms	7.061995077612288e+38	3.21501290864112e+41
25.0ms	1.507809531328107e-197	2.5846749466699687e-190
25.0ms	3.886081380139228e-224	6.343761652871557e-222
25.0ms	3.1485143957021743e-242	2.988689490358221e-237
27.0ms	-5.562923229365624e-77	-3.7852230909834595e-92

Compiler

Compiled 802 to 601 computations (25.1% saved)

regimes350.0ms (2.6%)

Counts

8 → 7

Calls

Call 1

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

Outputs
(*.f64 c i)
(+.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 c i)

Calls

10 calls:

49.0ms	x
43.0ms	b
40.0ms	z
39.0ms	i
35.0ms	t

Results

Error	Segments	Branch
20.8b	10	`x`
25.7b	3	`y`
23.9b	7	`z`
22.6b	7	`t`
28.1b	5	`a`
26.0b	8	`b`
25.8b	5	`c`
21.6b	7	`i`
27.6b	6	`(*.f64 a b)`
18.8b	7	`(*.f64 c i)`

Compiler

Compiled 134 to 96 computations (28.4% saved)

bsearch124.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	1.9210968025577913e+120	2.4304490502356404e+120
26.0ms	1.805179611012147e+27	6.313042391690677e+27
24.0ms	9.992171602241318e-177	1.937268390455152e-176
0.0ms	-7.9025112006e-313	-4.2183e-320
24.0ms	-3.401675787281868e-202	-2.5935080558710613e-216
25.0ms	-1.358844706598043e+98	-6.584451449882357e+95

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes462.0ms (3.4%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

10 calls:

87.0ms	x
72.0ms	t
52.0ms	y
51.0ms	z
45.0ms	i

Results

Error	Segments	Branch
24.1b	10	`x`
28.1b	5	`y`
25.6b	11	`z`
25.7b	8	`t`
27.6b	7	`a`
26.6b	9	`b`
27.9b	3	`c`
22.6b	9	`i`
28.8b	5	`(*.f64 a b)`
21.0b	5	`(*.f64 c i)`

Compiler

Compiled 127 to 95 computations (25.2% saved)

bsearch114.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	1.9210968025577913e+120	2.4304490502356404e+120
0.0ms	-7.9025112006e-313	-4.2183e-320
24.0ms	-1.4588827525895657e-248	-1.5721065943427798e-258
42.0ms	-1.358844706598043e+98	-6.584451449882357e+95

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes784.0ms (5.8%)

Counts

6 → 8

Calls

Call 1

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

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

Calls

10 calls:

128.0ms	x
122.0ms	z
100.0ms	t
83.0ms	y
78.0ms	i

Results

Error	Segments	Branch
31.6b	13	`x`
36.1b	7	`y`
31.8b	11	`z`
29.9b	16	`t`
33.2b	10	`a`
35.1b	8	`b`
32.1b	10	`c`
32.5b	8	`i`
31.9b	6	`(*.f64 a b)`
28.6b	8	`(*.f64 c i)`

Compiler

Compiled 120 to 94 computations (21.7% saved)

bsearch317.0ms (2.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	9.219536900259651e+36	9.992967808936014e+36
72.0ms	1.805179611012147e+27	6.313042391690677e+27
62.0ms	9.992171602241318e-177	1.937268390455152e-176
0.0ms	1.7095e-320	3.8606e-320
0.0ms	-7.9025112006e-313	-4.2183e-320
86.0ms	-3.401675787281868e-202	-2.5935080558710613e-216
64.0ms	-1.3895319628607364e-15	-7.790149947177692e-25

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes419.0ms (3.1%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

9 calls:

84.0ms	b
66.0ms	i
60.0ms	c
40.0ms	z
39.0ms	a

Results

Error	Segments	Branch
33.6b	10	`x`
37.5b	6	`y`
33.7b	9	`z`
35.3b	7	`t`
38.4b	10	`a`
37.1b	13	`b`
34.7b	7	`c`
33.0b	8	`i`
30.7b	7	`(*.f64 c i)`

Compiler

Compiled 103 to 84 computations (18.4% saved)

bsearch222.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
27.0ms	9.219536900259651e+36	9.992967808936014e+36
67.0ms	1.805179611012147e+27	6.313042391690677e+27
55.0ms	9.992171602241318e-177	1.937268390455152e-176
23.0ms	1.9320158309344258e-269	6.586615557357029e-267
25.0ms	-3.401675787281868e-202	-2.5935080558710613e-216
25.0ms	-1.3895319628607364e-15	-7.790149947177692e-25

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes222.0ms (1.6%)

Accuracy

Total -27.3b remaining (-77.8%)

Threshold costs -27.3b (-77.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

9 calls:

48.0ms	i
40.0ms	z
39.0ms	c
33.0ms	t
20.0ms	b

Results

Error	Segments	Branch
37.2b	3	`x`
41.4b	3	`y`
40.8b	6	`z`
41.6b	6	`t`
43.8b	2	`a`
42.0b	7	`b`
37.4b	3	`c`
39.3b	3	`i`
35.1b	3	`(*.f64 c i)`

Compiler

Compiled 97 to 83 computations (14.4% saved)

bsearch81.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	101369719189.28716	6642991851135924.0
56.0ms	-1410564359487923.0	-102.37738281742918

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1034
1	176	1034

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (*.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (*.f64 y x))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) -2326867575800771/8) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) -4718089009013515/549755813888) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) -3712087884372481/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 (.f64 a b) 0) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) 4998709425364739/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 8220315915798317/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) 5547118151904124) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 77318353916269132067837037425415027030842785793442639249408) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 (.f64 a b) 67171081964258907096779771152754720300157447526201776942003697640328761603784704) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 194523397463608003857119709576103369837340501875635542682605316353323342551266247474193822713940373289480224768) (+.f64 (.f64 a b) (.f64 t z)) (+.f64 (.f64 a b) (*.f64 y x)))))))))))))
(if (<=.f64 (.f64 c i) -980781997275610596511842304) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 c i) -8417773296310575/309485009821345068724781056) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) -1175054985605335/231584178474632390847141970017375815706539969331281128078915168015826259279872) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 c i) 101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 11710804514326168679250312652360092209900577251188015104) (+.f64 (.f64 y x) (.f64 t z)) (+.f64 (.f64 t z) (.f64 c i))))))))
(if (<=.f64 i -3626199920577471/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 i 7564007939669739/240240538521750407359077046256296219561976306993584113173692780504404210003815414654317126354570604187153728613910574803813846101321671784376366749012476965121271261522908882474772107196452653194239352573372884036938570849429907747816467644391667125314387968) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 i 2024409900790159/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 i 2538010575499457/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 i 706199507761228817615800562566255607808) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 i 95999999999999996104005547809634822223231624606251338208294944941443576603291624849539072) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 i 7599999999999999519790085373522984957386795436153820915334812047000011162178518783190416473883002545389127910915176038657030453194219770085376) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 i 394999999999999996919565339312313717029775801156278981456778668954717873408714672208930437564268015510732699041246182325080311679333600958234872192667639899343116304384) (+.f64 (.f64 a b) (.f64 t z)) (+.f64 (.f64 y x) (.f64 c i))))))))))
(if (<=.f64 (.f64 c i) -135884470659804300895643190913086825741827823224425700109177635849969202484114536475425953164558336) (.f64 c i) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) -202402253/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 5698586197039605/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) 1805179611012147012102520832) (+.f64 (.f64 a b) (.f64 y x)) (if (<=.f64 (.f64 c i) 1921096802557791325821546893031299841640198816411545648139109653406205856779379405151601095188899035037705349271388160000) (+.f64 (.f64 a b) (.f64 t z)) (.f64 c i)))))))
(if (<=.f64 (.f64 c i) -135884470659804300895643190913086825741827823224425700109177635849969202484114536475425953164558336) (.f64 c i) (if (<=.f64 (.f64 c i) -7350156591045507/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 c i) -202402253/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 y x) (if (<=.f64 (.f64 c i) 1921096802557791325821546893031299841640198816411545648139109653406205856779379405151601095188899035037705349271388160000) (+.f64 (.f64 a b) (.f64 t z)) (*.f64 c i)))))
(if (<=.f64 (.f64 c i) -7045764107026889/5070602400912917605986812821504) (.f64 c i) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 t z) (if (<=.f64 (.f64 c i) -202402253/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 y x) (if (<=.f64 (.f64 c i) 253/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (.f64 a b) (if (<=.f64 (.f64 c i) 5698586197039605/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 t z) (if (<=.f64 (.f64 c i) 1805179611012147012102520832) (.f64 y x) (if (<=.f64 (.f64 c i) 9219536900259651458647522514741231616) (.f64 a b) (*.f64 c i))))))))
(if (<=.f64 (.f64 c i) -7045764107026889/5070602400912917605986812821504) (.f64 c i) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 t z) (if (<=.f64 (.f64 c i) 2872940208046245/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (.f64 y x) (if (<=.f64 (.f64 c i) 5698586197039605/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 t z) (if (<=.f64 (.f64 c i) 1805179611012147012102520832) (.f64 y x) (if (<=.f64 (.f64 c i) 9219536900259651458647522514741231616) (.f64 t z) (*.f64 c i)))))))
(if (<=.f64 (.f64 c i) -1410564359487923) (.f64 c i) (if (<=.f64 (.f64 c i) 6643365916789123/65536) (.f64 y x) (*.f64 c i)))
(*.f64 y x)

Outputs
(+.f64 (+.f64 (fma.f64 z t (.f64 x y)) (.f64 a b)) (*.f64 c i))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (.f64 t z))) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 y x) (.f64 t z))) (+.f64 (.f64 a b) (*.f64 y x))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) 103056084857183535104) (+.f64 (.f64 c i) (+.f64 (.f64 x y) (.f64 z t))) (+.f64 (.f64 a b) (*.f64 x y))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) -2326867575800771/8) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) -4718089009013515/549755813888) (+.f64 (.f64 a b) (.f64 t z)) (if (<=.f64 (.f64 a b) -3712087884372481/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 y x) (.f64 c i)) (if (<=.f64 (.f64 a b) 0) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) 4998709425364739/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 8220315915798317/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 (.f64 t z) (.f64 c i)) (if (<=.f64 (.f64 a b) 5547118151904124) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 77318353916269132067837037425415027030842785793442639249408) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 (.f64 a b) 67171081964258907096779771152754720300157447526201776942003697640328761603784704) (+.f64 (.f64 y x) (.f64 t z)) (if (<=.f64 (.f64 a b) 194523397463608003857119709576103369837340501875635542682605316353323342551266247474193822713940373289480224768) (+.f64 (.f64 a b) (.f64 t z)) (+.f64 (.f64 a b) (*.f64 y x)))))))))))))
(if (<=.f64 (.f64 a b) -4598976556523239895258221734038304342352250702766734794033072189484021835514931288247902032690675712) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) -2326867575800771/8) (+.f64 (.f64 c i) (.f64 z t)) (if (<=.f64 (.f64 a b) -4718089009013515/549755813888) (+.f64 (.f64 a b) (.f64 z t)) (if (<=.f64 (.f64 a b) -3712087884372481/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (+.f64 (.f64 c i) (.f64 x y)) (if (<=.f64 (.f64 a b) 0) (+.f64 (.f64 c i) (.f64 z t)) (if (<=.f64 (.f64 a b) 4998709425364739/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536) (+.f64 (.f64 x y) (.f64 z t)) (if (<=.f64 (.f64 a b) 8220315915798317/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (+.f64 (.f64 c i) (.f64 z t)) (if (<=.f64 (.f64 a b) 5547118151904124) (+.f64 (.f64 x y) (.f64 z t)) (if (<=.f64 (.f64 a b) 77318353916269132067837037425415027030842785793442639249408) (+.f64 (.f64 a b) (.f64 c i)) (if (<=.f64 (.f64 a b) 67171081964258907096779771152754720300157447526201776942003697640328761603784704) (+.f64 (.f64 x y) (.f64 z t)) (if (<=.f64 (.f64 a b) 194523397463608003857119709576103369837340501875635542682605316353323342551266247474193822713940373289480224768) (+.f64 (.f64 a b) (.f64 z t)) (+.f64 (.f64 a b) (*.f64 x y)))))))))))))
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(if (<=.f64 (.f64 c i) -7045764107026889/5070602400912917605986812821504) (.f64 c i) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 t z) (if (<=.f64 (.f64 c i) -202402253/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 y x) (if (<=.f64 (.f64 c i) 253/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (.f64 a b) (if (<=.f64 (.f64 c i) 5698586197039605/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 t z) (if (<=.f64 (.f64 c i) 1805179611012147012102520832) (.f64 y x) (if (<=.f64 (.f64 c i) 9219536900259651458647522514741231616) (.f64 a b) (*.f64 c i))))))))
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(if (<=.f64 (.f64 c i) -7045764107026889/5070602400912917605986812821504) (.f64 c i) (if (<=.f64 (.f64 c i) -1876246075446047/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (.f64 z t) (if (<=.f64 (.f64 c i) 2872940208046245/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (.f64 x y) (if (<=.f64 (.f64 c i) 5698586197039605/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 z t) (if (<=.f64 (.f64 c i) 1805179611012147012102520832) (.f64 x y) (if (<=.f64 (.f64 c i) 9219536900259651458647522514741231616) (.f64 z t) (*.f64 c i)))))))
(if (<=.f64 (.f64 c i) -1410564359487923) (.f64 c i) (if (<=.f64 (.f64 c i) 6643365916789123/65536) (.f64 y x) (*.f64 c i)))
(if (<=.f64 (.f64 c i) -1410564359487923) (.f64 c i) (if (<=.f64 (.f64 c i) 6643365916789123/65536) (.f64 x y) (*.f64 c i)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 816 to 340 computations (58.3% saved)

soundness0.0ms (0%)

end183.0ms (1.4%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 896 to 298 computations (66.7% saved)