Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

analyze51.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 4.0ms (39.6% of total)

ival-add: 3.0ms (29.7% of total)

ival-div: 2.0ms (19.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample782.0ms (14.6%)

Results

554.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-div: 80.0ms (39.6% of total)

ival-sub: 63.0ms (31.2% of total)

ival-add: 48.0ms (23.8% of total)

const: 8.0ms (4% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess160.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2356×	`sum5-define`
1720×	`fmsub-define`
1690×	`fnmsub-define`
1614×	`sum5-define`
1582×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	81	70
2	243	70
3	890	70
4	3140	70
0	6	7
1	12	7
2	23	7
3	44	7
4	94	7
5	212	7
6	676	7
7	2262	7
8	3815	7
9	4670	7
10	4829	7
11	6010	7
12	6054	7
0	6054	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ x (/ (- y x) z))

Outputs
(+ x (/ (- y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))

Call 2

Inputs
(+ x (/ (- y x) z))
(+ (neg x) (/ (- y (neg x)) z))
(+ x (/ (- (neg y) x) z))
(+ x (/ (- y x) (neg z)))
(neg (+ (neg x) (/ (- y (neg x)) z)))
(neg (+ x (/ (- (neg y) x) z)))
(neg (+ x (/ (- y x) (neg z))))
(+ y (/ (- x y) z))
(+ z (/ (- y z) x))
(+ x (/ (- z x) y))

Outputs
(+ x (/ (- y x) z))
(fma (- y x) (recip z) x)
(+ (neg x) (/ (- y (neg x)) z))
(- (/ (+ x y) z) x)
(+ x (/ (- (neg y) x) z))
(- x (/ (+ x y) z))
(+ x (/ (- y x) (neg z)))
(fma (recip z) (- x y) x)
(neg (+ (neg x) (/ (- y (neg x)) z)))
(- x (/ (+ x y) z))
(neg (+ x (/ (- (neg y) x) z)))
(- (/ (+ x y) z) x)
(neg (+ x (/ (- y x) (neg z))))
(fnmsub (recip z) (- x y) x)
(+ y (/ (- x y) z))
(fma (recip z) (- x y) y)
(+ z (/ (- y z) x))
(+ x (/ (- z x) y))

explain82.0ms (1.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(-.f64 y x)`

Results

45.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.8% of total)

ival-sub: 3.0ms (27.6% of total)

ival-add: 3.0ms (27.6% of total)

const: 1.0ms (9.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 y x)
✓	cost-diff	(/.f64 (-.f64 y x) z)
✓	cost-diff	(+.f64 x (/.f64 (-.f64 y x) z))

Rules

2356×	`sum5-define`
1540×	`sum4-define`
1460×	`fnmadd-define`
978×	`fnmsub-define`
978×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	44	18
4	94	18
5	212	18
6	676	18
7	2262	18
8	3815	18
9	4670	18
10	4829	18
11	6010	18
12	6054	18
0	6054	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- y x) z))
x
(/ (- y x) z)
(- y x)
y
z

Outputs
(+ x (/ (- y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
z

localize34.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	accuracy	100.0%	(/.f64 (-.f64 y x) z)

Results

28.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (37.1% of total)

ival-div: 2.0ms (37.1% of total)

ival-add: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (+ x (/ (- y x) z))>
#<alt (/ (- y x) z)>
#<alt (- y x)>

Outputs
#<alt (/ y z)>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (- x (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (/ y z)>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt x>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt x>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (* -1 (/ x z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- y x) z)
1.0ms	y	@	-inf	(+ x (/ (- y x) z))
1.0ms	x	@	inf	(+ x (/ (- y x) z))
1.0ms	x	@	0	(+ x (/ (- y x) z))
0.0ms	z	@	0	(+ x (/ (- y x) z))

rewrite323.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

3212×	`-lowering-.f32`
3212×	`-lowering-.f64`
2802×	`/-lowering-/.f32`
2802×	`/-lowering-/.f64`
1326×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	43	15
2	432	15
3	5911	15
0	8483	15

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 262

Calls

Call 1

Inputs
(+ x (/ (- y x) z))
(/ (- y x) z)
(- y x)

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))
(+.f64 (/.f64 y z) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) z) x))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (neg.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (+.f64 x (/.f64 (-.f64 x y) z)))))
(+.f64 (+.f64 x (/.f64 y z)) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 (-.f64 y x) z) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (+.f64 x (/.f64 (-.f64 x y) z))))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x)))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x y) (.f64 z (/.f64 z (-.f64 y x))))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 y x) z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x))))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x))))) (+.f64 x (/.f64 (-.f64 x y) z))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x)))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 y x) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (.f64 x x))))
(/.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x y) (.f64 z (/.f64 z (-.f64 y x))))) (+.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x))))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 y x) z)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (/.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (.f64 (/.f64 z (-.f64 y x)) (/.f64 (/.f64 z (-.f64 y x)) (/.f64 (-.f64 y x) z)))))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (-.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (.f64 x (.f64 x x)))))))
(/.f64 (-.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (.f64 (/.f64 z (-.f64 y x)) (/.f64 (/.f64 z (-.f64 y x)) (/.f64 (-.f64 y x) z))))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 (-.f64 x y) (*.f64 z (/.f64 z (-.f64 y x)))) (/.f64 (-.f64 y x) z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (.f64 (/.f64 z (-.f64 y x)) (/.f64 (/.f64 z (-.f64 y x)) (/.f64 (-.f64 y x) z))))) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (+.f64 (.f64 x x) (/.f64 (-.f64 y x) (*.f64 z (/.f64 z (-.f64 y x)))))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x))) (/.f64 z (-.f64 y x)))) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (.f64 x x) (/.f64 (-.f64 y x) (*.f64 z (/.f64 z (-.f64 y x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (+.f64 x (/.f64 (-.f64 x y) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (/.f64 z (-.f64 y x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 z (-.f64 y x)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 y x) z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 y x) (.f64 z (/.f64 z (-.f64 y x)))) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x)))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (+.f64 (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))))
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(.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 x (+.f64 x y)))))
(.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))))
(.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (+.f64 x y)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x y))) (/.f64 (-.f64 y x) (+.f64 (.f64 y y) (*.f64 x (+.f64 x y)))))
(.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x y))) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (*.f64 x (+.f64 x y))))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (+.f64 x y)))) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (.f64 y y) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (+.f64 x y)) (.f64 x (+.f64 x y)))))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 x y)) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (*.f64 x (+.f64 x y))))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y))))

simplify175.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1962×	`-lowering-.f32`
1962×	`-lowering-.f64`
1864×	`sum3-define`
1566×	`fnmadd-define`
766×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	511
1	205	457
2	606	457
3	1948	457
4	5894	457
5	7952	457
0	8185	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ x z))
(/.f64 (-.f64 #s(literal 0 binary64) x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (-.f64 #s(literal 0 binary64) x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (-.f64 #s(literal 0 binary64) x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

eval42.0ms (0.8%)

Compiler: Compiled 8163 to 945 computations (88.4% saved)

prune310.0ms (5.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	351	7	358
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	7	359

Accuracy

100.0%

Counts

359 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (-.f64 y x) z)
	87.5%	(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
▶	41.0%	(/.f64 y z)
▶	98.8%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
▶	63.1%	(-.f64 x (/.f64 x z))
▶	76.9%	(+.f64 x (/.f64 y z))
▶	37.1%	x

Compiler

Compiled 116 to 74 computations (36.2% saved)

simplify186.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 x (/.f64 x z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(+.f64 x (/.f64 y z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 (/.f64 x z) x)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	128	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Rules

2320×	`sum5-define`
1696×	`fnmadd-define`
1472×	`sum4-define`
1276×	`sum3-define`
1048×	`fnmsub-define`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	50
1	18	50
2	37	50
3	85	50
4	232	50
5	770	50
6	1797	50
7	3523	50
8	4368	48
9	5054	48
10	6007	48
11	6633	48
0	6633	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ y z) (- (/ x z) x))
(/ y z)
y
z
(- (/ x z) x)
(/ x z)
x
x
(/ y z)
y
z
(+ x (/ y z))
x
(/ y z)
y
z
(- x (/ x z))
x
(/ x z)
z

Outputs
(- (/ y z) (- (/ x z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
y
z
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
x
x
(/ y z)
(/.f64 y z)
y
z
(+ x (/ y z))
(+.f64 (/.f64 y z) x)
x
(/ y z)
(/.f64 y z)
y
z
(- x (/ x z))
(-.f64 x (/.f64 x z))
x
(/ x z)
(/.f64 x z)
z

localize81.0ms (1.5%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 x (/.f64 x z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x (/.f64 y z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	99.0%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Results

60.0ms

256×

valid

Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 15.0ms (75.2% of total)

ival-sub: 3.0ms (15% of total)

ival-add: 1.0ms (5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

6 → 168

Calls

Call 1

Inputs
#<alt (- (/ y z) (- (/ x z) x))>
#<alt (/ y z)>
#<alt (- (/ x z) x)>
#<alt (/ x z)>
#<alt (+ x (/ y z))>
#<alt (- x (/ x z))>

Outputs
#<alt (- x (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (/ y z)>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt (/ (- (+ y (* x z)) x) z)>
#<alt x>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt (- (+ x (/ y z)) (/ x z))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))>
#<alt (/ y z)>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (* -1 x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (* -1 x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ y z)>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt x>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ (+ y (* x z)) z)>
#<alt (/ (+ y (* x z)) z)>
#<alt (/ (+ y (* x z)) z)>
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* x (- 1 (/ 1 z)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (* x (- (/ 1 z) 1)))>
#<alt (* -1 (/ x z))>
#<alt (/ (- (* x z) x) z)>
#<alt (/ (- (* x z) x) z)>
#<alt (/ (- (* x z) x) z)>
#<alt x>
#<alt (+ x (* -1 (/ x z)))>
#<alt (+ x (* -1 (/ x z)))>
#<alt (+ x (* -1 (/ x z)))>
#<alt x>
#<alt (+ x (* -1 (/ x z)))>
#<alt (+ x (* -1 (/ x z)))>
#<alt (+ x (* -1 (/ x z)))>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	-inf	(/ y z)
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	z	@	inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	inf	(/ y z)

rewrite402.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4574×	`-lowering-.f32`
4574×	`-lowering-.f64`
4366×	`/-lowering-/.f32`
4366×	`/-lowering-/.f64`
2294×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	71	28
2	872	28
0	8501	28

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 291

Calls

Call 1

Inputs
(- (/ y z) (- (/ x z) x))
(/ y z)
(- (/ x z) x)
(/ x z)
(+ x (/ y z))
(- x (/ x z))

Outputs
(+.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)) (/.f64 y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z)))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x x)))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z)))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z)))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z)))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) (neg.f64 (.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 (-.f64 y x) z) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))) (/.f64 (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))))
(-.f64 (/.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) (/.f64 (*.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) x) (/.f64 y z))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (*.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (-.f64 (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (*.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))
(/.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))) (-.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (*.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))))))
(/.f64 (-.f64 (.f64 y (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 z (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 z (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (.f64 y (+.f64 x (/.f64 x z))) (.f64 z (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)))) (.f64 z (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x (/.f64 x z))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 (/.f64 z y) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (/.f64 z y) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (.f64 (/.f64 z y) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)))) (.f64 (/.f64 z y) (+.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))) (neg.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (*.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))) (neg.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (-.f64 (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))) (neg.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))) (neg.f64 (-.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x)))))
(/.f64 (+.f64 (.f64 (/.f64 (-.f64 y x) z) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) (.f64 x (.f64 x x))) (+.f64 (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (-.f64 (.f64 x x) (*.f64 (/.f64 (-.f64 y x) z) x))))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (+.f64 (.f64 y (neg.f64 (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (.f64 z (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 z (neg.f64 (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z)))))))
(/.f64 (+.f64 (.f64 y (neg.f64 (+.f64 x (/.f64 x z)))) (.f64 z (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)))) (.f64 z (neg.f64 (+.f64 x (/.f64 x z)))))
(/.f64 (+.f64 (.f64 y (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 z (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (.f64 z (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z))))))
(/.f64 (+.f64 (.f64 y (+.f64 x (/.f64 x z))) (.f64 z (neg.f64 (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x))))) (.f64 z (+.f64 x (/.f64 x z))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z)))))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z)))))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (+.f64 x (/.f64 x z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (+.f64 x (/.f64 x z)))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (.f64 x (+.f64 x (/.f64 x z))))) (.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 x (+.f64 x (/.f64 x z))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 x z) (/.f64 z x)))) (neg.f64 (+.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 x z) (/.f64 z x)))) (neg.f64 (-.f64 x (/.f64 x (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))) (.f64 (+.f64 (.f64 x x) (.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (.f64 x x) (.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (+.f64 (.f64 x x) (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 x z))) (.f64 (+.f64 x (/.f64 x z)) (/.f64 (/.f64 x z) (/.f64 z x)))) (.f64 (+.f64 x (/.f64 x z)) (+.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))) (neg.f64 (neg.f64 (+.f64 (.f64 x x) (.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 x z) (/.f64 z x))))) (neg.f64 (neg.f64 (+.f64 x (/.f64 x z)))))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (*.f64 x x) (/.f64 (/.f64 x z) (/.f64 z x)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))
(.f64 (-.f64 (.f64 x x) (/.f64 (/.f64 x z) (/.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))))

simplify136.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1924×	`sum3-define`
1698×	`-lowering-.f32`
1698×	`-lowering-.f64`
1002×	`fnmsub-define`
942×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	760
1	203	760
2	544	739
3	1958	739
4	6238	739
0	8023	739

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ y z)
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
x
(* x (+ 1 (/ y (* x z))))
(* x (+ 1 (/ y (* x z))))
(* x (+ 1 (/ y (* x z))))
x
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
(/ y z)
(* y (+ (/ 1 z) (/ x y)))
(* y (+ (/ 1 z) (/ x y)))
(* y (+ (/ 1 z) (/ x y)))
(/ y z)
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(/ y z)
(/ (+ y (* x z)) z)
(/ (+ y (* x z)) z)
(/ (+ y (* x z)) z)
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (/ x z))
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))

Outputs
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ y z)
(/.f64 y z)
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
x
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
x
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ (+ y (* x z)) z)
(+.f64 x (/.f64 y z))
(/ (+ y (* x z)) z)
(+.f64 x (/.f64 y z))
(/ (+ y (* x z)) z)
(+.f64 x (/.f64 y z))
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (/ x z))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))

eval66.0ms (1.2%)

Compiler: Compiled 12679 to 969 computations (92.4% saved)

prune61.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	592	1	593
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	593	7	600

Accuracy

100.0%

Counts

600 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.f64 (-.f64 y x) z)
▶	87.5%	(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
✓	41.0%	(/.f64 y z)
▶	62.9%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	63.1%	(-.f64 x (/.f64 x z))
✓	76.9%	(+.f64 x (/.f64 y z))
✓	37.1%	x

Compiler

Compiled 56 to 36 computations (35.7% saved)

simplify122.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) z)
✓	cost-diff	0	(+.f64 z #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 z #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64))))
✓	cost-diff	128	(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	128	(-.f64 (/.f64 y z) (/.f64 x z))

Rules

2600×	`sum5-define`
1624×	`sum4-define`
1292×	`sum3-define`
1100×	`-lowering-.f32`
1100×	`-lowering-.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	26	51
2	54	51
3	94	50
4	170	50
5	398	50
6	832	49
7	2370	49
8	5813	49
9	7674	49
0	8015	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ y z) (/ x z))
(/ y z)
y
z
(/ x z)
x
(/ (+ y (* x (+ z -1))) z)
(+ y (* x (+ z -1)))
y
(* x (+ z -1))
x
(+ z -1)
z
-1
(/ (- y x) z)
(- y x)
y
x
z

Outputs
(- (/ y z) (/ x z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
y
z
(/ x z)
(/.f64 x z)
x
(/ (+ y (* x (+ z -1))) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(+ y (* x (+ z -1)))
(-.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
y
(* x (+ z -1))
(*.f64 x (+.f64 z #s(literal -1 binary64)))
x
(+ z -1)
(+.f64 z #s(literal -1 binary64))
z
-1
#s(literal -1 binary64)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
x
z

localize72.0ms (1.3%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(+.f64 z #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 z #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64))))
✓	accuracy	87.5%	(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	99.0%	(-.f64 (/.f64 y z) (/.f64 x z))

Results

55.0ms

256×

valid

Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (47.6% of total)

ival-add: 4.0ms (23.8% of total)

ival-sub: 3.0ms (17.8% of total)

ival-mult: 2.0ms (11.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts

9 → 252

Calls

Call 1

Inputs
#<alt (- (/ y z) (/ x z))>
#<alt (/ y z)>
#<alt (/ x z)>
#<alt (/ (+ y (* x (+ z -1))) z)>
#<alt (+ y (* x (+ z -1)))>
#<alt (* x (+ z -1))>
#<alt (+ z -1)>
#<alt (/ (- y x) z)>
#<alt (- y x)>

Outputs
#<alt (* -1 (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (- (/ y z) (/ x z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (* -1 (/ (- (* -1 y) (* -1 x)) z))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x (- z 1)) z)>
#<alt (+ (/ y z) (/ (* x (- z 1)) z))>
#<alt (+ (/ y z) (/ (* x (- z 1)) z))>
#<alt (+ (/ y z) (/ (* x (- z 1)) z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ (* x (- z 1)) (* y z))))>
#<alt (* y (+ (/ 1 z) (/ (* x (- z 1)) (* y z))))>
#<alt (* y (+ (/ 1 z) (/ (* x (- z 1)) (* y z))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) (* y z))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) (* y z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (+ (* x (- 1 (/ 1 z))) (/ y z))>
#<alt (/ (* x (- z 1)) z)>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z)))>
#<alt (/ (* x (- z 1)) z)>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))>
#<alt (/ (+ y (* -1 x)) z)>
#<alt (/ (+ y (+ (* -1 x) (* x z))) z)>
#<alt (/ (+ y (+ (* -1 x) (* x z))) z)>
#<alt (/ (+ y (+ (* -1 x) (* x z))) z)>
#<alt x>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt x>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt (+ x (+ (* -1 (/ x z)) (/ y z)))>
#<alt (* x (- z 1))>
#<alt (+ y (* x (- z 1)))>
#<alt (+ y (* x (- z 1)))>
#<alt (+ y (* x (- z 1)))>
#<alt y>
#<alt (* y (+ 1 (/ (* x (- z 1)) y)))>
#<alt (* y (+ 1 (/ (* x (- z 1)) y)))>
#<alt (* y (+ 1 (/ (* x (- z 1)) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x (- z 1)) y)) 1)))>
#<alt y>
#<alt (+ y (* x (- z 1)))>
#<alt (+ y (* x (- z 1)))>
#<alt (+ y (* x (- z 1)))>
#<alt (* x (- z 1))>
#<alt (* x (- (+ z (/ y x)) 1))>
#<alt (* x (- (+ z (/ y x)) 1))>
#<alt (* x (- (+ z (/ y x)) 1))>
#<alt (* x (- z 1))>
#<alt (* -1 (* x (+ (* -1 (- z 1)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z 1)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z 1)) (* -1 (/ y x)))))>
#<alt (+ y (* -1 x))>
#<alt (+ y (+ (* -1 x) (* x z)))>
#<alt (+ y (+ (* -1 x) (* x z)))>
#<alt (+ y (+ (* -1 x) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ x z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ x z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ x z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 x)) z)))))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* x (- z 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x z))>
#<alt (+ (* -1 x) (* x z))>
#<alt (+ (* -1 x) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (* -1 (/ x z))))>
#<alt (* z (+ x (* -1 (/ x z))))>
#<alt (* z (+ x (* -1 (/ x z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ x z))))>
#<alt -1>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt z>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (/ x z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (* -1 (* y (- (/ x (* y z)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (+ (* -1 (/ x z)) (/ y z))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* x (- (/ y (* x z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (/ (- y x) z)>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(- (/ y z) (/ x z))
1.0ms	z	@	-inf	(/ (+ y (* x (+ z -1))) z)
1.0ms	x	@	-inf	(/ (+ y (* x (+ z -1))) z)
0.0ms	z	@	inf	(/ (+ y (* x (+ z -1))) z)
0.0ms	x	@	inf	(/ (+ y (* x (+ z -1))) z)

rewrite370.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4694×	`/-lowering-/.f32`
4694×	`/-lowering-/.f64`
4130×	`-lowering-.f32`
4130×	`-lowering-.f64`
2658×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	98	41
2	1033	41
0	8809	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 700

Calls

Call 1

Inputs
(- (/ y z) (/ x z))
(/ y z)
(/ x z)
(/ (+ y (* x (+ z -1))) z)
(+ y (* x (+ z -1)))
(* x (+ z -1))
(+ z -1)
(/ (- y x) z)
(- y x)

Outputs
(+.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) z) y (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (/.f64 (.f64 y z) (.f64 z z)) (/.f64 (.f64 z x) (.f64 z z)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))))
(-.f64 (/.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (/.f64 (/.f64 (*.f64 (/.f64 x z) x) z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 y x) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))) z) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))) z))
(-.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) z) (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) z))
(-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (+.f64 (.f64 y y) (.f64 x (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 z (+.f64 (.f64 y y) (.f64 x (+.f64 y x))))))
(-.f64 (/.f64 (.f64 y y) (.f64 z (+.f64 y x))) (/.f64 (.f64 x x) (.f64 z (+.f64 y x))))
(-.f64 (/.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 z (-.f64 #s(literal 0 binary64) z))) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) x)) (.f64 z (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (.f64 y (/.f64 z x)) (.f64 z (/.f64 z x))) (/.f64 (.f64 z #s(literal 1 binary64)) (.f64 z (/.f64 z x))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) z) (.f64 (-.f64 #s(literal 0 binary64) z) z)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) x) (.f64 (-.f64 #s(literal 0 binary64) z) z)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) (.f64 z z)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)) (.f64 z z)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x)) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 z y) z)) (/.f64 (.f64 (/.f64 z y) x) (.f64 (/.f64 z y) z)))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z))) (/.f64 (.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (/.f64 z x) (.f64 (/.f64 z y) (/.f64 z x))) (/.f64 (.f64 (/.f64 z y) #s(literal 1 binary64)) (*.f64 (/.f64 z y) (/.f64 z x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 y z))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 (-.f64 (.f64 y z) (.f64 z x)) (/.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) z) (/.f64 y z))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(fma.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)))
(neg.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 y z) (*.f64 z x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))) (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z) (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 (.f64 y z) (.f64 z x)) (*.f64 z z))
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(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) z) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (-.f64 #s(literal 0 binary64) z))) (.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))) (.f64 (/.f64 z y) #s(literal -1 binary64))) (*.f64 (/.f64 z y) (neg.f64 (/.f64 z x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) (/.f64 (/.f64 z x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 z y) (.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 z y) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) z))) (.f64 (/.f64 z y) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 z y) (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) x)) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x))) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (/.f64 z x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (/.f64 z x) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 z x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 z x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) z))) (.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) z) (.f64 z x)) (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) (neg.f64 (/.f64 z x))) (-.f64 #s(literal 0 binary64) z)) (*.f64 z (neg.f64 (/.f64 z x))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z)) (.f64 z (-.f64 #s(literal 0 binary64) x))) (.f64 z (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) (/.f64 z x)) (.f64 z #s(literal 1 binary64))) (.f64 z (/.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (.f64 z #s(literal 1 binary64))) (.f64 z (/.f64 (/.f64 z x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) z) (.f64 z (.f64 x #s(literal 1 binary64)))) (*.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) z))) (.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) x)))) (.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) z) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) x)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) z))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (/.f64 z x))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (/.f64 z x))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z)) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 z x)) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 z x)))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 z x) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 z x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) z) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 x #s(literal 1 binary64)))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) z))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) z))) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 z z)) (.f64 (.f64 z z) (.f64 z x))) (.f64 (.f64 z z) (*.f64 z z)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))) (.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)) (.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z) (/.f64 (.f64 (/.f64 x z) x) z))) (.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))
(/.f64 (neg.f64 (-.f64 (.f64 y (-.f64 #s(literal 0 binary64) z)) (.f64 z (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (-.f64 (.f64 y (/.f64 z x)) (.f64 z #s(literal 1 binary64)))) (neg.f64 (*.f64 z (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) z) (.f64 (-.f64 #s(literal 0 binary64) z) x))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) z)))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x)) (.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 z y) x))) (neg.f64 (*.f64 (/.f64 z y) z)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (-.f64 (/.f64 z x) (.f64 (/.f64 z y) #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 z y) (/.f64 z x))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) z)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 y z) (.f64 z x)))) (neg.f64 (neg.f64 (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (*.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))) (neg.f64 (neg.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) z))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 y z) (.f64 z x)) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)) (-.f64 (.f64 (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z))) (.f64 (/.f64 (-.f64 y x) z) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x) (/.f64 x z))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 (/.f64 (.f64 (/.f64 x z) x) z) (-.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 y z)))))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z z) (-.f64 (.f64 y z) (*.f64 z x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z))) (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z) (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(.f64 (-.f64 (.f64 y z) (.f64 z x)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (.f64 (/.f64 x z) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z)))
(.f64 (pow.f64 (/.f64 z (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(.f64 (pow.f64 (/.f64 z (-.f64 (.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) z) (/.f64 (-.f64 y x) (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(*.f64 (/.f64 (/.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x)) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (-.f64 y x) z) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 y x) (+.f64 y x)))
(+.f64 y (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) y)
(-.f64 y x)
(-.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (-.f64 y (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 #s(literal -1 binary64) x y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 y y) (.f64 x (+.f64 y x))))
(/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 y (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 y x))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (-.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y y) (.f64 x (+.f64 y x)))) (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 (-.f64 #s(literal 0 binary64) x) y))))
(pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 y x))) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) (.f64 x x))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))

simplify176.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2284×	`-lowering-.f32`
2284×	`-lowering-.f64`
1212×	`sum3-define`
1146×	`sum4-define`
900×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1242
1	354	1101
2	1166	1077
3	4173	1077
4	6955	1077
0	8163	1077

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* -1 (/ x z))
(- (/ y z) (/ x z))
(- (/ y z) (/ x z))
(- (/ y z) (/ x z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(* -1 (/ (- (* -1 y) (* -1 x)) z))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
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(/ y z)
(* y (+ (/ 1 z) (/ (* x (- z 1)) (* y z))))
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(* -1 (* y (- (* -1 (/ (* x (- z 1)) (* y z))) (/ 1 z))))
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(* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (* -1 (/ (- z 1) z)))))
(/ (+ y (* -1 x)) z)
(/ (+ y (+ (* -1 x) (* x z))) z)
(/ (+ y (+ (* -1 x) (* x z))) z)
(/ (+ y (+ (* -1 x) (* x z))) z)
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(* x z)
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(* x z)
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(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (-.f64 #s(literal 0 binary64) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

eval109.0ms (2%)

Compiler: Compiled 16117 to 1396 computations (91.3% saved)

prune68.0ms (1.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	951	1	952
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	952	7	959

Accuracy

100.0%

Counts

959 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.1%	(/.f64 (-.f64 y x) z)
▶	64.4%	(/.f64 (+.f64 y (*.f64 x z)) z)
✓	41.0%	(/.f64 y z)
✓	62.9%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	63.1%	(-.f64 x (/.f64 x z))
✓	76.9%	(+.f64 x (/.f64 y z))
✓	37.1%	x

Compiler

Compiled 54 to 34 computations (37% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x z)
✓	cost-diff	(+.f64 y (*.f64 x z))
✓	cost-diff	(/.f64 (+.f64 y (*.f64 x z)) z)

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	8	16
2	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ y (* x z)) z)
(+ y (* x z))
y
(* x z)
x
z

Outputs
(/ (+ y (* x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(+ y (* x z))
(+.f64 y (*.f64 x z))
y
(* x z)
(*.f64 x z)
x
z

localize32.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(+.f64 y (*.f64 x z))
✓	accuracy	87.5%	(/.f64 (+.f64 y (*.f64 x z)) z)

Results

21.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.1% of total)

ival-mult: 2.0ms (33.1% of total)

ival-add: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (/ (+ y (* x z)) z)>
#<alt (+ y (* x z))>
#<alt (* x z)>

Outputs
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (* y (+ (/ 1 z) (/ x y)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))>
#<alt (/ y z)>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt x>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt (* x (+ 1 (/ y (* x z))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x z))) 1)))>
#<alt (/ y z)>
#<alt (/ (+ y (* x z)) z)>
#<alt (/ (+ y (* x z)) z)>
#<alt (/ (+ y (* x z)) z)>
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt x>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (+ x (/ y z))>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ (+ y (* x z)) z)
0.0ms	y	@	0	(/ (+ y (* x z)) z)
0.0ms	x	@	-inf	(/ (+ y (* x z)) z)
0.0ms	y	@	inf	(/ (+ y (* x z)) z)
0.0ms	x	@	inf	(/ (+ y (* x z)) z)

rewrite313.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3242×	`-lowering-.f32`
3242×	`-lowering-.f64`
2588×	`/-lowering-/.f32`
2588×	`/-lowering-/.f64`
1442×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	29	13
2	242	13
3	2692	13
0	8439	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 317

Calls

Call 1

Inputs
(/ (+ y (* x z)) z)
(+ y (* x z))
(* x z)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
(+.f64 (.f64 y (/.f64 #s(literal 1 binary64) z)) (.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z)) (*.f64 y (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (.f64 (log.f64 (/.f64 z (+.f64 y (.f64 x z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 y (*.f64 x z)) z)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x z))) z) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 y (.f64 x z))) z))
(-.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 (/.f64 (+.f64 y (*.f64 x z)) z)))
(-.f64 (/.f64 (.f64 y y) (.f64 z (-.f64 y (.f64 x z)))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (-.f64 y (.f64 x z)))))
(neg.f64 (neg.f64 (/.f64 (+.f64 y (*.f64 x z)) z)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 y (.f64 x z)) z))))
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))) (.f64 z (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 y (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))) (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (*.f64 z z)))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 x z)) (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (*.f64 z z)))) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x z))))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z)))) (.f64 z (-.f64 y (.f64 x z))))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x z)))))
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) y)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))) (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (*.f64 z z)))) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y (.f64 x z)) (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (*.f64 z z)))) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (neg.f64 (.f64 z (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) (.f64 z (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x z)))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 y (*.f64 x z))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) (neg.f64 (.f64 z (-.f64 y (*.f64 x z)))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x z))))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x z))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))))) (.f64 (.f64 z (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (-.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 y (*.f64 y y)))))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x z)))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 y y)) (.f64 z (-.f64 (.f64 x z) y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (.f64 (.f64 z (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y))))) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (*.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) (.f64 (.f64 z (-.f64 y (.f64 x z))) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x (.f64 z z))) (+.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z))))))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 z z)) (.f64 x (.f64 x (.f64 z z)))))) (.f64 (.f64 z (-.f64 y (.f64 x z))) (+.f64 (.f64 y y) (.f64 x (.f64 x (*.f64 z z))))))
(/.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))) z) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y)))))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z)))) z) (-.f64 y (*.f64 x z)))
(/.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y)))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z)))) #s(literal -1 binary64)) (.f64 (-.f64 y (*.f64 x z)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y)))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y))))) z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y))))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) #s(literal 1 binary64)) (.f64 (-.f64 y (.f64 x z)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x z))) z))
(/.f64 (.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 y y)) #s(literal 1 binary64)) (.f64 (-.f64 (*.f64 x z) y) z))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 y y)) #s(literal -1 binary64)) (.f64 (-.f64 (*.f64 x z) y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))))) (.f64 z (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (*.f64 x z) y)))))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 x z)) y) (-.f64 y (.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x z)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x z) y)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (-.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (.f64 z (-.f64 (.f64 x z) y)))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (-.f64 y (.f64 x z)) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z))) (.f64 (.f64 x (.f64 x z)) (.f64 x (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x (.f64 z z))) (+.f64 (.f64 y y) (.f64 x (.f64 x (*.f64 z z))))))))
(.f64 (pow.f64 (/.f64 (-.f64 y (.f64 x z)) (-.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 x (.f64 (.f64 x (.f64 z z)) (.f64 x (.f64 x (.f64 z z))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (.f64 x (.f64 z z))))))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(*.f64 z x)
(*.f64 z (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) z)
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 z)))

simplify155.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2234×	`fnmadd-define`
1688×	`fmsub-define`
1668×	`fnmsub-define`
1652×	`fma-lowering-fma.f32`
1652×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	384
1	162	354
2	462	354
3	1434	354
4	4050	354
5	6807	354
0	8215	354

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
(/ y z)
(* y (+ (/ 1 z) (/ x y)))
(* y (+ (/ 1 z) (/ x y)))
(* y (+ (/ 1 z) (/ x y)))
(/ y z)
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(/ y z)
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
x
(* x (+ 1 (/ y (* x z))))
(* x (+ 1 (/ y (* x z))))
(* x (+ 1 (/ y (* x z))))
x
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(/ y z)
(/ (+ y (* x z)) z)
(/ (+ y (* x z)) z)
(/ (+ y (* x z)) z)
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
x
(+ x (/ y z))
(+ x (/ y z))
(+ x (/ y z))
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)

Outputs
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(* y (+ (/ 1 z) (/ x y)))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(* -1 (* y (- (* -1 (/ x y)) (/ 1 z))))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
x
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
(* x (+ 1 (/ y (* x z))))
(+.f64 x (/.f64 y z))
x
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
(* -1 (* x (- (* -1 (/ y (* x z))) 1)))
(+.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ (+ y (* x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/ (+ y (* x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/ (+ y (* x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
x
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(+ x (/ y z))
(+.f64 x (/.f64 y z))
(* x z)
(*.f64 x z)
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
y
(* y (+ 1 (/ (* x z) y)))
(+.f64 y (*.f64 x z))
(* y (+ 1 (/ (* x z) y)))
(+.f64 y (*.f64 x z))
(* y (+ 1 (/ (* x z) y)))
(+.f64 y (*.f64 x z))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(+.f64 y (*.f64 x z))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(+.f64 y (*.f64 x z))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(+.f64 y (*.f64 x z))
y
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
(* x z)
(*.f64 x z)
(* x (+ z (/ y x)))
(+.f64 y (*.f64 x z))
(* x (+ z (/ y x)))
(+.f64 y (*.f64 x z))
(* x (+ z (/ y x)))
(+.f64 y (*.f64 x z))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(+.f64 y (*.f64 x z))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(+.f64 y (*.f64 x z))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(+.f64 y (*.f64 x z))
y
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
(+ y (* x z))
(+.f64 y (*.f64 x z))
(* x z)
(*.f64 x z)
(* z (+ x (/ y z)))
(+.f64 y (*.f64 x z))
(* z (+ x (/ y z)))
(+.f64 y (*.f64 x z))
(* z (+ x (/ y z)))
(+.f64 y (*.f64 x z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(+.f64 y (*.f64 x z))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(+.f64 y (*.f64 x z))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(+.f64 y (*.f64 x z))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)

eval48.0ms (0.9%)

Compiler: Compiled 11205 to 906 computations (91.9% saved)

prune83.0ms (1.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	413	0	413
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	413	7	420

Accuracy

100.0%

Counts

420 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.1%	(/.f64 (-.f64 y x) z)
✓	64.4%	(/.f64 (+.f64 y (*.f64 x z)) z)
✓	41.0%	(/.f64 y z)
✓	62.9%	(-.f64 (/.f64 y z) (/.f64 x z))
✓	63.1%	(-.f64 x (/.f64 x z))
✓	76.9%	(+.f64 x (/.f64 y z))
✓	37.1%	x

Compiler

Compiled 115 to 55 computations (52.2% saved)

regimes18.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (+.f64 y (*.f64 x z)) z)
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/.f64 (+.f64 y (*.f64 x (+.f64 z #s(literal -1 binary64)))) z)

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

7.0ms	x
4.0ms	z
4.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)

Outputs
(+.f64 x (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 x (/.f64 y z))

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
88.8%	3	`x`
90.7%	3	`y`
99.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))

Outputs
(+.f64 x (/.f64 y z))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 y z))

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
90.7%	3	`y`
82.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))

Outputs
(+.f64 x (/.f64 y z))

Calls

3 calls:

4.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.9%	1	`z`
76.9%	1	`x`
76.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
55.2%	3	`x`
55.8%	3	`y`
65.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
37.1%	1	`x`
37.1%	1	`y`
37.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.606542350242443e-32	1.347871689622685e-27
17.0ms	-3.640268351535624e+24	-0.000454395305627129

Results

18.0ms

304×

valid

Compiler

Compiled 358 to 239 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (51.1% of total)

ival-sub: 2.0ms (25.6% of total)

ival-add: 2.0ms (25.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.149391372690573e-155	1.3171434011798798e-150
11.0ms	-4.825328549329121e-13	-4.3306050229364024e-16

Results

17.0ms

256×

valid

Compiler

Compiled 304 to 203 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 5.0ms (59.7% of total)

ival-sub: 2.0ms (23.9% of total)

ival-add: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6477559976.449651	6.353181923965697e+20
8.0ms	-2.5419140206378563e+35	-1.9009778252041777e+34

Results

14.0ms

256×

valid

Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (37.2% of total)

ival-div: 2.0ms (37.2% of total)

ival-add: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	43	64
2	53	64
3	59	64
4	63	64
5	64	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 3679622957757553/2787593149816327892691964784081045188247552 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -6845313241232439/5070602400912917605986812821504 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 2395581617318361/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(if (<=.f64 z #s(literal -19999999999999998911504619740856320 binary64)) x (if (<=.f64 z #s(literal 2800000000000 binary64)) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 3679622957757553/2787593149816327892691964784081045188247552 binary64)) (/.f64 (-.f64 y x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -6845313241232439/5070602400912917605986812821504 binary64)) (+.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 2395581617318361/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z))))
(+.f64 x (/.f64 y z))
(if (<=.f64 z #s(literal -19999999999999998911504619740856320 binary64)) x (if (<=.f64 z #s(literal 2800000000000 binary64)) (/.f64 y z) x))
x

soundness617.0ms (11.5%)

Rules

1962×	`-lowering-.f32`
1962×	`-lowering-.f64`
1864×	`sum3-define`
1566×	`fnmadd-define`
766×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	511
1	205	457
2	606	457
3	1948	457
4	5894	457
5	7952	457
0	8185	457

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 129 to 63 computations (51.2% saved)

preprocess38.0ms (0.7%)

Compiler: Compiled 170 to 68 computations (60% saved)

analyze51.0ms (0.9%)

sample782.0ms (14.6%)

preprocess160.0ms (3%)

explain82.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (1.7%)

localize34.0ms (0.6%)

series7.0ms (0.1%)

rewrite323.0ms (6%)

simplify175.0ms (3.3%)

eval42.0ms (0.8%)

prune310.0ms (5.8%)

simplify186.0ms (3.5%)

localize81.0ms (1.5%)

series5.0ms (0.1%)

rewrite402.0ms (7.5%)

simplify136.0ms (2.5%)

eval66.0ms (1.2%)

prune61.0ms (1.1%)

simplify122.0ms (2.3%)

localize72.0ms (1.3%)

series9.0ms (0.2%)

rewrite370.0ms (6.9%)

simplify176.0ms (3.3%)

eval109.0ms (2%)

prune68.0ms (1.3%)

simplify4.0ms (0.1%)

localize32.0ms (0.6%)

series6.0ms (0.1%)

rewrite313.0ms (5.8%)

simplify155.0ms (2.9%)

eval48.0ms (0.9%)

prune83.0ms (1.6%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch33.0ms (0.6%)

bsearch27.0ms (0.5%)

bsearch26.0ms (0.5%)

simplify9.0ms (0.2%)

soundness617.0ms (11.5%)

preprocess38.0ms (0.7%)

end0.0ms (0%)

Profiling