Metrics for Data.Colour.Matrix:inverse from colour-2.3.3, B

analyze157.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
75%	74.8%	24.9%	0.2%	0%	0%	0%	11
75%	74.8%	24.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 21.0ms (58.8% of total)

ival-sub: 7.0ms (19.6% of total)

ival-div: 6.0ms (16.8% of total)

const: 1.0ms (2.8% of total)

backward-pass: 1.0ms (2.8% of total)

sample1.1s (9.6%)

Results

660.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 137.0ms (51.6% of total)

ival-div: 66.0ms (24.9% of total)

ival-sub: 51.0ms (19.2% of total)

const: 8.0ms (3% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess331.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

1388×	`unsub-neg`
1136×	`div-sub`
1108×	`distribute-rgt-in`
1070×	`distribute-lft-in`
822×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	194
1	210	194
2	447	193
3	1468	193
4	3873	193
5	5188	193
6	5645	193
7	5765	193
8	5795	193
9	5811	193
10	6807	193
11	7247	193
12	7319	193
13	7319	193
14	7319	193
15	7431	193
16	7591	193
17	7655	193
18	7655	193
0	9	9
1	19	9
2	41	9
3	71	9
4	126	9
5	211	9
6	336	9
7	551	9
8	992	9
9	1573	9
10	1844	9
11	1882	9
12	1910	9
13	1910	9
0	1910	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x y) (* z t)) a)

Outputs
(/ (- (* x y) (* z t)) a)
(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Call 2

Inputs
(/ (- (* x y) (* z t)) a)
(/ (- (* (neg x) y) (* z t)) a)
(/ (- (* x (neg y)) (* z t)) a)
(/ (- (* x y) (* (neg z) t)) a)
(/ (- (* x y) (* z (neg t))) a)
(/ (- (* x y) (* z t)) (neg a))
(neg (/ (- (* (neg x) y) (* z t)) a))
(neg (/ (- (* x (neg y)) (* z t)) a))
(neg (/ (- (* x y) (* (neg z) t)) a))
(neg (/ (- (* x y) (* z (neg t))) a))
(neg (/ (- (* x y) (* z t)) (neg a)))
(/ (- (* y x) (* z t)) a)
(/ (- (* z y) (* x t)) a)
(/ (- (* t y) (* z x)) a)
(/ (- (* a y) (* z t)) x)
(/ (- (* x z) (* y t)) a)
(/ (- (* x t) (* z y)) a)
(/ (- (* x a) (* z t)) y)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* a t)) z)
(/ (- (* x y) (* z a)) t)

Outputs
(/ (- (* x y) (* z t)) a)
(/ (- (* (neg x) y) (* z t)) a)
(/ (- (* x (neg y)) (* z t)) a)
(/ (- (* x (neg y)) (* z t)) a)
(/ (- (* x y) (* (neg z) t)) a)
(/ (+ (* x y) (* z t)) a)
(/ (- (* x y) (* z (neg t))) a)
(/ (+ (* x y) (* z t)) a)
(/ (- (* x y) (* z t)) (neg a))
(/ (- (* z t) (* x y)) a)
(neg (/ (- (* (neg x) y) (* z t)) a))
(/ (+ (* x y) (* z t)) a)
(neg (/ (- (* x (neg y)) (* z t)) a))
(/ (+ (* x y) (* z t)) a)
(neg (/ (- (* x y) (* (neg z) t)) a))
(/ (- (* x (neg y)) (* z t)) a)
(neg (/ (- (* x y) (* z (neg t))) a))
(/ (- (* x (neg y)) (* z t)) a)
(neg (/ (- (* x y) (* z t)) (neg a)))
(/ (- (* x y) (* z t)) a)
(/ (- (* y x) (* z t)) a)
(/ (- (* x y) (* z t)) a)
(/ (- (* z y) (* x t)) a)
(/ (- (* y z) (* x t)) a)
(/ (- (* t y) (* z x)) a)
(/ (- (* y t) (* x z)) a)
(/ (- (* a y) (* z t)) x)
(/ (- (* y a) (* z t)) x)
(/ (- (* x z) (* y t)) a)
(/ (- (* x t) (* z y)) a)
(/ (- (* x t) (* y z)) a)
(/ (- (* x a) (* z t)) y)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* z t)) a)
(/ (- (* x y) (* a t)) z)
(/ (- (* x y) (* t a)) z)
(/ (- (* x y) (* z a)) t)

Symmetry

(negabs a)

(sort x y)

(sort z t)

explain158.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
4	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`x`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`
0	-	-	`(*.f64 z t)`
0	-	-	`t`
0	-	-	`a`

Results

131.0ms

512×

valid

Compiler

Compiled 80 to 29 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sub: 43.0ms (78.2% of total)

ival-mult: 7.0ms (12.7% of total)

ival-div: 4.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize112.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z t)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 (.f64 x y) (.f64 z t))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	accuracy	100.0%	(*.f64 z t)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.7%	(-.f64 (.f64 x y) (.f64 z t))
✓	accuracy	93.9%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Rules

656×	`accelerator-lowering-fma.f32`
656×	`accelerator-lowering-fma.f64`
536×	`times-frac`
464×	`-lowering-.f32`
464×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	19	27
2	41	27
3	71	27
4	126	27
5	211	27
6	336	27
7	551	27
8	992	27
9	1573	27
10	1844	27
11	1882	27
12	1910	27
13	1910	27
0	1910	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* x y) (* z t)) a)
(- (* x y) (* z t))
(* x y)
x
y
(* z t)
z
t
a

Outputs
(/ (- (* x y) (* z t)) a)
(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
(- (* x y) (* z t))
(-.f64 (.f64 x y) (.f64 z t))
(* x y)
(*.f64 x y)
x
y
(* z t)
(*.f64 z t)
z
t
a

Results

25.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.6% of total)

ival-div: 2.0ms (27.3% of total)

ival-sub: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Counts

4 → 156

Calls

Call 1

Inputs
#<alt (/ (- (* x y) (* z t)) a)>
#<alt (- (* x y) (* z t))>
#<alt (* x y)>
#<alt (* z t)>

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/ (- (* x y) (* z t)) a)
1.0ms	x	@	0	(* x y)
1.0ms	z	@	inf	(/ (- (* x y) (* z t)) a)
1.0ms	y	@	0	(/ (- (* x y) (* z t)) a)
1.0ms	x	@	0	(/ (- (* x y) (* z t)) a)

rewrite778.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

6256×	`-lowering-.f32`
6256×	`-lowering-.f64`
3936×	`accelerator-lowering-fma.f32`
3936×	`accelerator-lowering-fma.f64`
3328×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	40	22
2	309	22
3	3298	22
0	8841	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 399

Calls

Call 1

Inputs
(/ (- (* x y) (* z t)) a)
(- (* x y) (* z t))
(* x y)
(* z t)

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

simplify500.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

6640×	`accelerator-lowering-fma.f32`
6640×	`accelerator-lowering-fma.f64`
3892×	`-lowering-.f32`
3892×	`-lowering-.f64`
2490×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1104
1	314	960
2	1016	960
3	3861	960
4	6591	960
0	8008	960

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval138.0ms (1.2%)

Compiler: Compiled 16133 to 2476 computations (84.7% saved)

prune107.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	541	14	555
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	541	15	556

Accuracy

100.0%

Counts

556 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (/.f64 y a) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))
	88.0%	(fma.f64 (/.f64 x a) y (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))
	87.4%	(fma.f64 z (neg.f64 (/.f64 t a)) (/.f64 (*.f64 x y) a))
▶	87.0%	(fma.f64 t (neg.f64 (/.f64 z a)) (/.f64 (*.f64 x y) a))
	66.2%	(/.f64 (/.f64 (-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t)) a) a)
▶	93.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t)))) a)
	54.5%	(/.f64 (-.f64 (.f64 (.f64 x y) (/.f64 (/.f64 a t) z)) a) (*.f64 a (/.f64 (/.f64 a t) z)))
▶	58.7%	(/.f64 (-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t)) (*.f64 a a))
✓	93.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	52.3%	(/.f64 (*.f64 x y) a)
	50.8%	(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) z)) a)
	93.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
▶	90.0%	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
	87.0%	(+.f64 (/.f64 (*.f64 x y) a) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))
	93.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 486 to 311 computations (36% saved)

localize470.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) a)
✓	cost-diff	0	(/.f64 z a)
✓	cost-diff	6464	(fma.f64 t (neg.f64 (/.f64 z a)) (/.f64 (*.f64 x y) a))
✓	cost-diff	0	(*.f64 y a)
✓	cost-diff	0	(.f64 x (.f64 y a))
✓	cost-diff	128	(-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t)) (*.f64 a a))
✓	cost-diff	0	(/.f64 (*.f64 z t) a)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) a)
✓	cost-diff	128	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) a)
✓	cost-diff	0	(-.f64 (.f64 x y) (.f64 z t))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t)))) a)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 (/.f64 z a))
✓	accuracy	91.9%	(fma.f64 t (neg.f64 (/.f64 z a)) (/.f64 (*.f64 x y) a))
✓	accuracy	89.7%	(/.f64 (*.f64 x y) a)
✓	accuracy	97.1%	(-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t))
✓	accuracy	92.4%	(.f64 x (.f64 y a))
✓	accuracy	92.4%	(.f64 (.f64 a z) t)
✓	accuracy	64.5%	(/.f64 (-.f64 (.f64 x (.f64 y a)) (.f64 (.f64 a z) t)) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.0%	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
✓	accuracy	95.1%	(/.f64 (*.f64 z t) a)
✓	accuracy	89.7%	(/.f64 (*.f64 x y) a)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	89.7%	(/.f64 (*.f64 x y) a)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t)))
✓	accuracy	98.7%	(-.f64 (.f64 x y) (.f64 z t))
✓	accuracy	93.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z t)))) a)

Rules

3990×	`accelerator-lowering-fma.f32`
3990×	`accelerator-lowering-fma.f64`
2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
1936×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	73	118
2	179	116
3	482	116
4	1347	116
5	2276	116
6	3764	116
7	5828	116
8	7181	116
9	7656	116
10	7920	116
0	8008	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (- (* x y) (* z t)))) a)
(/ 1 (/ 1 (- (* x y) (* z t))))
1
(/ 1 (- (* x y) (* z t)))
(- (* x y) (* z t))
(* x y)
x
y
(* z t)
z
t
a
(/ (* x y) a)
(- (/ (* x y) a) (/ (* z t) a))
(/ (* z t) a)
(/ (- (* x (* y a)) (* (* a z) t)) (* a a))
(- (* x (* y a)) (* (* a z) t))
(* x (* y a))
(* y a)
(* (* a z) t)
(* a z)
(* a a)
(+ (* t (neg (/ z a))) (/ (* x y) a))
(neg (/ z a))
(/ z a)

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

Results

125.0ms

256×

valid

Compiler

Compiled 182 to 34 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 53.0ms (66.4% of total)

ival-mult: 16.0ms (20% of total)

ival-sub: 4.0ms (5% of total)

<compiled-spec>: 4.0ms (5% of total)

ival-add: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

series130.0ms (1.2%)

Counts

16 → 684

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (* -1 (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (* -1 (* t z))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* x y)>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (* -1 (* t z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (/ -1 (* t z))>
#<alt (- (* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) (/ 1 (* t z)))>
#<alt (- (* x (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) (/ y (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 4)))) (/ (pow y 2) (* (pow t 3) (pow z 3))))) (/ y (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 y) (/ (* t z) (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (pow y 3)))) (* -1 (/ (* t z) (* x (pow y 2))))) x)>
#<alt (/ (- (+ (/ 1 y) (/ (* (pow t 3) (pow z 3)) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (* t z) (* x (pow y 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (pow y 3)))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ (* t z) (* x (pow y 2)))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (* x (pow y 3))) (* -1 (/ (* t z) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) (* x (pow y 4)))) (/ (* (pow t 2) (pow z 2)) (pow y 3))) x)) (* -1 (/ (* t z) (pow y 2)))) x)) (/ 1 y)) x))>
#<alt (/ -1 (* t z))>
#<alt (- (* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) (/ 1 (* t z)))>
#<alt (- (* y (- (* -1 (/ (* (pow x 2) y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))>
#<alt (- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (* (pow t 4) (pow z 4)))) (/ (pow x 2) (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ (* t z) (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (* (pow t 2) (pow z 2)) (* (pow x 3) (pow y 2)))) (* -1 (/ (* t z) (* (pow x 2) y)))) y)>
#<alt (/ (- (+ (/ 1 x) (/ (* (pow t 3) (pow z 3)) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (* t z) (* (pow x 2) y))) (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (* -1 (/ (* t z) (* (pow x 2) y))) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (* (pow x 3) y)) (* -1 (/ (* t z) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) (* (pow x 4) y))) (/ (* (pow t 2) (pow z 2)) (pow x 3))) y)) (* -1 (/ (* t z) (pow x 2)))) y)) (/ 1 x)) y))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ (* t z) (* (pow x 2) (pow y 2))))>
#<alt (+ (* z (- (/ (* (pow t 2) z) (* (pow x 3) (pow y 3))) (* -1 (/ t (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* z (- (* z (- (/ (* (pow t 3) z) (* (pow x 4) (pow y 4))) (* -1 (/ (pow t 2) (* (pow x 3) (pow y 3)))))) (* -1 (/ t (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ -1 (* t z))>
#<alt (/ (- (* -1 (/ (* x y) (* (pow t 2) z))) (/ 1 t)) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 3) (pow z 2)))) (+ (/ 1 t) (/ (* x y) (* (pow t 2) z)))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow t 4) (pow z 3)))) (+ (/ 1 t) (+ (/ (* x y) (* (pow t 2) z)) (/ (* (pow x 2) (pow y 2)) (* (pow t 3) (pow z 2)))))) z)>
#<alt (/ -1 (* t z))>
#<alt (* -1 (/ (+ (/ 1 t) (/ (* x y) (* (pow t 2) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ 1 t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ 1 t)) z))>
#<alt (/ 1 (* x y))>
#<alt (+ (/ 1 (* x y)) (/ (* t z) (* (pow x 2) (pow y 2))))>
#<alt (+ (* t (- (/ (* t (pow z 2)) (* (pow x 3) (pow y 3))) (* -1 (/ z (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (* (pow x 4) (pow y 4))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))))) (* -1 (/ z (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ -1 (* t z))>
#<alt (/ (- (* -1 (/ (* x y) (* t (pow z 2)))) (/ 1 z)) t)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ (* x y) (* t (pow z 2))))) t)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ (* x y) (* t (pow z 2))) (/ (* (pow x 2) (pow y 2)) (* (pow t 2) (pow z 3)))))) t)>
#<alt (/ -1 (* t z))>
#<alt (* -1 (/ (+ (/ 1 z) (/ (* x y) (* t (pow z 2)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ 1 z)) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* t (pow z 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ 1 z)) t))>
#<alt (* -1 (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x (+ y (* -1 (/ (* t z) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ (* t z) x))))>
#<alt (* -1 (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (- (* x y) (* t z))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* y (+ x (* -1 (/ (* t z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* t z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (* -1 (* t z))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* z (- (/ (* x y) z) t))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))>
#<alt (* x y)>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (+ (* -1 (* t z)) (* x y))>
#<alt (* -1 (* t z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* t (- (/ (* x y) t) z))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (/ (* x y) a)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (/ (* t z) a)>
#<alt (* -1 (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (/ (* x y) a)>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (- (/ (* x y) a) (/ (* t z) a))>
#<alt (/ (* x y) a)>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* z (- (/ (* x y) (* a z)) (/ t a)))>
#<alt (* z (- (/ (* x y) (* a z)) (/ t a)))>
#<alt (* z (- (/ (* x y) (* a z)) (/ t a)))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) (* a z))) (* -1 (/ t a)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) (* a z))) (* -1 (/ t a)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) (* a z))) (* -1 (/ t a)))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* t (- (/ (* x y) (* a t)) (/ z a)))>
#<alt (* t (- (/ (* x y) (* a t)) (/ z a)))>
#<alt (* t (- (/ (* x y) (* a t)) (/ z a)))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) (* a t))) (* -1 (/ z a)))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) (* a t))) (* -1 (/ z a)))))>
#<alt (* -1 (* t (- (* -1 (/ (* x y) (* a t))) (* -1 (/ z a)))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (/ (- (* x y) (* t z)) a)>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (* -1 (/ (- (* -1 (* x y)) (* -1 (* t z))) a))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* t z))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* a (* x y))>
#<alt (* -1 (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (* a (* x y))>
#<alt (* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))>
#<alt (* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))>
#<alt (* x (+ (* -1 (/ (* a (* t z)) x)) (* a y)))>
#<alt (* a (* x y))>
#<alt (* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))>
#<alt (* -1 (* x (+ (* -1 (* a y)) (/ (* a (* t z)) x))))>
#<alt (* -1 (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (- (* a (* x y)) (* a (* t z)))>
#<alt (* a (* x y))>
#<alt (* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))>
#<alt (* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))>
#<alt (* y (+ (* -1 (/ (* a (* t z)) y)) (* a x)))>
#<alt (* a (* x y))>
#<alt (* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))>
#<alt (* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))>
#<alt (* -1 (* y (+ (* -1 (* a x)) (/ (* a (* t z)) y))))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* a (- (* x y) (* t z)))>
#<alt (* -1 (* a (- (* -1 (* x y)) (* -1 (* t z)))))>
#<alt (* -1 (* a (- (* -1 (* x y)) (* -1 (* t z)))))>
#<alt (* -1 (* a (- (* -1 (* x y)) (* -1 (* t z)))))>
#<alt (* -1 (* a (- (* -1 (* x y)) (* -1 (* t z)))))>
#<alt (* a (* x y))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (* -1 (* a (* t z)))>
#<alt (* z (- (/ (* a (* x y)) z) (* a t)))>
#<alt (* z (- (/ (* a (* x y)) z) (* a t)))>
#<alt (* z (- (/ (* a (* x y)) z) (* a t)))>
#<alt (* -1 (* a (* t z)))>
#<alt (* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t)))))>
#<alt (* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t)))))>
#<alt (* -1 (* z (- (* -1 (/ (* a (* x y)) z)) (* -1 (* a t)))))>
#<alt (* a (* x y))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (+ (* -1 (* a (* t z))) (* a (* x y)))>
#<alt (* -1 (* a (* t z)))>
#<alt (* t (- (/ (* a (* x y)) t) (* a z)))>
#<alt (* t (- (/ (* a (* x y)) t) (* a z)))>
#<alt (* t (- (/ (* a (* x y)) t) (* a z)))>
#<alt (* -1 (* a (* t z)))>
#<alt (* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z)))))>
#<alt (* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z)))))>
#<alt (* -1 (* t (- (* -1 (/ (* a (* x y)) t)) (* -1 (* a z)))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))>
#<alt (/ (* x y) a)>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (/ (+ (* -1 (* t z)) (* x y)) a)>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* t z)) a))>
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))>
#<alt (* -1 (/ (* t z) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (+ (* -1 (/ (* t z) a)) (/ (* x y) a))>
#<alt (/ (* x y) a)>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))>
#<alt (/ (* x y) a)>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* -1 (/ z a))>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (* a y)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>
#<alt (/ z a)>

Calls

171 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(/ (- (* x (* y a)) (* (* a z) t)) (* a a))
3.0ms	t	@	-inf	(/ (* z t) a)
1.0ms	a	@	-inf	(/ (- (* x (* y a)) (* (* a z) t)) (* a a))
1.0ms	x	@	0	(/ (- (* x (* y a)) (* (* a z) t)) (* a a))
1.0ms	z	@	inf	(/ 1 (- (* x y) (* z t)))

rewrite911.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

8924×	`accelerator-lowering-fma.f32`
8924×	`accelerator-lowering-fma.f64`
4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
3798×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	103
1	166	103
2	1422	103
0	8525	103

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1452

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (- (* x y) (* z t)))) a)
(- (* x y) (* z t))
(/ 1 (- (* x y) (* z t)))
(/ 1 (/ 1 (- (* x y) (* z t))))
(/ (* x y) a)
(* x y)
(/ (* z t) a)
(- (/ (* x y) a) (/ (* z t) a))
(/ (- (* x (* y a)) (* (* a z) t)) (* a a))
(* (* a z) t)
(* x (* y a))
(- (* x (* y a)) (* (* a z) t))
(+ (* t (neg (/ z a))) (/ (* x y) a))
(neg (/ z a))
(* y a)
(/ z a)

Outputs
(+.f64 (/.f64 x (/.f64 a y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z t) a)) (/.f64 x (/.f64 a y)))
(+.f64 (/.f64 (/.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (/.f64 (/.f64 a y) x)) (+.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (.f64 (/.f64 (.f64 z t) a) (/.f64 (+.f64 (.f64 x y) (.f64 z t)) a)))) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 z t) a) (/.f64 (/.f64 a (.f64 z t)) (/.f64 (.f64 z t) a))) (+.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (.f64 (/.f64 (.f64 z t) a) (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) a))))))
(+.f64 (/.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (/.f64 (+.f64 (.f64 x y) (.f64 z t)) a)) (neg.f64 (/.f64 (/.f64 (.f64 z t) (/.f64 a (/.f64 (.f64 z t) a))) (/.f64 (+.f64 (.f64 x y) (.f64 z t)) a))))
(+.f64 (/.f64 (/.f64 (.f64 z t) (/.f64 a (/.f64 (.f64 z t) a))) (/.f64 (-.f64 (neg.f64 (.f64 z t)) (.f64 x y)) a)) (neg.f64 (/.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (/.f64 (-.f64 (neg.f64 (.f64 z t)) (.f64 x y)) a))))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (.f64 x y) (*.f64 z t)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (/.f64 a y)) (/.f64 (*.f64 z t) a))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z t) a)) (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) a))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 #s(literal 0 binary64) a)))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (/.f64 (/.f64 a y) x)) (+.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (.f64 (/.f64 (.f64 z t) a) (/.f64 (+.f64 (.f64 x y) (.f64 z t)) a)))) (/.f64 (/.f64 (/.f64 (.f64 z t) a) (/.f64 (/.f64 a (.f64 z t)) (/.f64 (.f64 z t) a))) (+.f64 (/.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 a y) x)) (.f64 (/.f64 (.f64 z t) a) (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) a)))))
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(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (.f64 z (.f64 a t)))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t)))))
(.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 x (.f64 y a)) (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a)))) (.f64 (.f64 z (.f64 a t)) (.f64 (.f64 z (.f64 a t)) (.f64 z (.f64 a t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (+.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t)))))))
(.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (.f64 z (.f64 a t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t)))))
(.f64 (pow.f64 (/.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 z t)))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (+.f64 (.f64 x y) (.f64 z t))))))
(.f64 (pow.f64 (/.f64 a (.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 z t))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 y a)) (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a)))) (.f64 (.f64 z (.f64 a t)) (.f64 (.f64 z (.f64 a t)) (.f64 z (.f64 a t))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (+.f64 (.f64 x (.f64 y a)) (.f64 z (*.f64 a t)))))) a))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (.f64 z (.f64 a t)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y a)) (.f64 z (*.f64 a t)))) a))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (+.f64 (.f64 x y) (.f64 z t)))) a) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (+.f64 (.f64 x y) (*.f64 z t))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (+.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t))))) (.f64 a a)) (/.f64 (-.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 x a) (.f64 x a))) (.f64 (.f64 z (.f64 a t)) (+.f64 (.f64 x (.f64 y a)) (.f64 z (.f64 a t)))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (-.f64 (.f64 x y) (*.f64 z t)) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z t) (.f64 z (.f64 t (.f64 z t))))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z t) (+.f64 (.f64 x y) (.f64 z t))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (.f64 x y) (.f64 z t))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x y) (.f64 z t)) a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (+.f64 (.f64 x y) (*.f64 z t))))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (-.f64 (.f64 x y) (*.f64 z t))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 z a))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64))) (/.f64 (*.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z))) (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z a)) (/.f64 (/.f64 (/.f64 z a) (/.f64 a z)) (/.f64 z a)))
(neg.f64 (/.f64 z a))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z a) (/.f64 a z)))))
(/.f64 z (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 a z))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a z))))
(/.f64 (neg.f64 z) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z)))) (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 z a) (/.f64 a z)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z a))))))
(/.f64 (*.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z))) (neg.f64 (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z a) (/.f64 a z))) (/.f64 z a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z a) (/.f64 a z)))) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(*.f64 z (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 z a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 z a))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 z) (neg.f64 (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 z))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) a) z)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z a) (/.f64 a z))) (/.f64 a z))
(*.f64 y a)
(*.f64 a y)
(+.f64 #s(literal 0 binary64) (/.f64 z a))
(exp.f64 (*.f64 (log.f64 (/.f64 a z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(/.f64 #s(literal 1 binary64) (/.f64 a z))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 z a)))
(/.f64 z a)
(/.f64 (.f64 z a) (.f64 a a))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a z)))
(/.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (.f64 z a)) (-.f64 #s(literal 0 binary64) (.f64 a a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z a) (/.f64 a z))) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 z a) (/.f64 (/.f64 z a) (/.f64 a z)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 z a) (/.f64 a z)) #s(literal 0 binary64))))
(pow.f64 (/.f64 a z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z a))
(*.f64 z (/.f64 #s(literal 1 binary64) a))
(*.f64 z (neg.f64 (/.f64 #s(literal -1 binary64) a)))
(.f64 (.f64 z a) (/.f64 (/.f64 #s(literal 1 binary64) a) a))
(*.f64 (/.f64 z a) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z a)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) z)
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a z) #s(literal -1/2 binary64)))

simplify625.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

5772×	`accelerator-lowering-fma.f32`
5772×	`accelerator-lowering-fma.f64`
5422×	`-lowering-.f32`
5422×	`-lowering-.f64`
2890×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	5986
1	1449	5826
2	5249	5793
0	8192	5747

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/ (* x y) a)
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(* x (+ (* -1 (/ (* t z) (* a x))) (/ y a)))
(/ (* x y) a)
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (* x (+ (* -1 (/ y a)) (/ (* t z) (* a x)))))
(* -1 (/ (* t z) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/ (* x y) a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(/ (* x y) a)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(/ (* x y) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (/ (* t z) a))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* z (+ (* -1 (/ t a)) (/ (* x y) (* a z))))
(* -1 (/ (* t z) a))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(* -1 (* z (+ (* -1 (/ (* x y) (* a z))) (/ t a))))
(/ (* x y) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(* -1 (/ (* t z) a))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* t (+ (* -1 (/ z a)) (/ (* x y) (* a t))))
(* -1 (/ (* t z) a))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(* -1 (* t (+ (* -1 (/ (* x y) (* a t))) (/ z a))))
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(/ (- (* x y) (* t z)) a)
(* -1 (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* x (+ y (* -1 (/ (* t z) x))))
(* x (+ y (* -1 (/ (* t z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* -1 (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
(* x y)
(* y (+ x (* -1 (/ (* t z) y))))
(* y (+ x (* -1 (/ (* t z) y))))
(* y (+ x (* -1 (/ (* t z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(* x y)
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(* -1 (* t z))
(* z (- (/ (* x y) z) t))
(* z (- (/ (* x y) z) t))
(* z (- (/ (* x y) z) t))
(* -1 (* t z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* x y)
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(+ (* -1 (* t z)) (* x y))
(* -1 (* t z))
(* t (- (/ (* x y) t) z))
(* t (- (/ (* x y) t) z))
(* t (- (/ (* x y) t) z))
(* -1 (* t z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))
(/ -1 (* t z))
(- (* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) (/ 1 (* t z)))
(- (* x (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) (/ y (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))
(- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 4)))) (/ (pow y 2) (* (pow t 3) (pow z 3))))) (/ y (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))
(/ 1 (* x y))
(/ (+ (/ 1 y) (/ (* t z) (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (pow y 3)))) (* -1 (/ (* t z) (* x (pow y 2))))) x)
(/ (- (+ (/ 1 y) (/ (* (pow t 3) (pow z 3)) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ (* t z) (* x (pow y 2)))) (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (pow y 3)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (* -1 (/ (* t z) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (* x (pow y 3))) (* -1 (/ (* t z) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) (* x (pow y 4)))) (/ (* (pow t 2) (pow z 2)) (pow y 3))) x)) (* -1 (/ (* t z) (pow y 2)))) x)) (/ 1 y)) x))
(/ -1 (* t z))
(- (* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) (/ 1 (* t z)))
(- (* y (- (* -1 (/ (* (pow x 2) y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))
(- (* y (- (* y (- (* -1 (/ (* (pow x 3) y) (* (pow t 4) (pow z 4)))) (/ (pow x 2) (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2))))) (/ 1 (* t z)))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ (* t z) (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ (* (pow t 2) (pow z 2)) (* (pow x 3) (pow y 2)))) (* -1 (/ (* t z) (* (pow x 2) y)))) y)
(/ (- (+ (/ 1 x) (/ (* (pow t 3) (pow z 3)) (* (pow x 4) (pow y 3)))) (+ (* -1 (/ (* t z) (* (pow x 2) y))) (* -1 (/ (* (pow t 2) (pow z 2)) (* (pow x 3) (pow y 2)))))) y)
(/ 1 (* x y))
(* -1 (/ (- (* -1 (/ (* t z) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (* (pow x 3) y)) (* -1 (/ (* t z) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) (* (pow x 4) y))) (/ (* (pow t 2) (pow z 2)) (pow x 3))) y)) (* -1 (/ (* t z) (pow x 2)))) y)) (/ 1 x)) y))
(/ 1 (* x y))
(+ (/ 1 (* x y)) (/ (* t z) (* (pow x 2) (pow y 2))))
(+ (* z (- (/ (* (pow t 2) z) (* (pow x 3) (pow y 3))) (* -1 (/ t (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* z (- (* z (- (/ (* (pow t 3) z) (* (pow x 4) (pow y 4))) (* -1 (/ (pow t 2) (* (pow x 3) (pow y 3)))))) (* -1 (/ t (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ -1 (* t z))
(/ (- (* -1 (/ (* x y) (* (pow t 2) z))) (/ 1 t)) z)
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 3) (pow z 2)))) (+ (/ 1 t) (/ (* x y) (* (pow t 2) z)))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow t 4) (pow z 3)))) (+ (/ 1 t) (+ (/ (* x y) (* (pow t 2) z)) (/ (* (pow x 2) (pow y 2)) (* (pow t 3) (pow z 2)))))) z)
(/ -1 (* t z))
(* -1 (/ (+ (/ 1 t) (/ (* x y) (* (pow t 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ 1 t)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ 1 t)) z))
(/ 1 (* x y))
(+ (/ 1 (* x y)) (/ (* t z) (* (pow x 2) (pow y 2))))
(+ (* t (- (/ (* t (pow z 2)) (* (pow x 3) (pow y 3))) (* -1 (/ z (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* t (- (* t (- (/ (* t (pow z 3)) (* (pow x 4) (pow y 4))) (* -1 (/ (pow z 2) (* (pow x 3) (pow y 3)))))) (* -1 (/ z (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ -1 (* t z))
(/ (- (* -1 (/ (* x y) (* t (pow z 2)))) (/ 1 z)) t)
(/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ (* x y) (* t (pow z 2))))) t)
(/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ (* x y) (* t (pow z 2))) (/ (* (pow x 2) (pow y 2)) (* (pow t 2) (pow z 3)))))) t)
(/ -1 (* t z))
(* -1 (/ (+ (/ 1 z) (/ (* x y) (* t (pow z 2)))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ 1 z)) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow y 3)) (* t (pow z 4))) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ 1 z)) t))
(* -1 (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
(- (* x y) (* t z))
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Outputs
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(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
(+ (* -1 (/ (* t z) a)) (/ (* x y) a))
(/.f64 (-.f64 (.f64 x y) (.f64 t z)) a)
(/ (* x y) a)
(/.f64 (*.f64 x y) a)
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(* y (+ (* -1 (/ (* t z) (* a y))) (/ x a)))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(/ (* x y) a)
(/.f64 (*.f64 x y) a)
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(* -1 (* y (+ (* -1 (/ x a)) (/ (* t z) (* a y)))))
(.f64 y (-.f64 (/.f64 x a) (/.f64 (.f64 t z) (*.f64 a y))))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* -1 (/ z a))
(-.f64 #s(literal 0 binary64) (/.f64 z a))
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(* a y)
(*.f64 a y)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)
(/ z a)
(/.f64 z a)

eval530.0ms (4.7%)

Compiler: Compiled 59864 to 8039 computations (86.6% saved)

prune234.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	2406	8	2414
Fresh	8	1	9
Picked	4	1	5
Done	0	1	1
Total	2418	11	2429

Accuracy

100.0%

Counts

2429 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t z))) a)
✓	93.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	52.3%	(/.f64 (*.f64 x y) a)
▶	50.8%	(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) z)) a)
▶	52.2%	(/.f64 x (/.f64 a y))
	85.3%	(-.f64 (/.f64 (*.f64 x y) a) (/.f64 t (/.f64 a z)))
▶	85.1%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 z a) t))
▶	87.4%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 t a) z))
	53.0%	(*.f64 (/.f64 y a) x)
	52.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x y))
▶	53.7%	(*.f64 y (/.f64 x a))

Compiler

Compiled 256 to 176 computations (31.3% saved)

localize204.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 z a) t)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) a)
✓	cost-diff	128	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 z a) t))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(*.f64 t (-.f64 #s(literal 0 binary64) z))
✓	cost-diff	0	(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) z)) a)
✓	cost-diff	0	(/.f64 a y)
✓	cost-diff	0	(/.f64 x (/.f64 a y))
✓	cost-diff	0	(/.f64 x a)
✓	cost-diff	0	(*.f64 y (/.f64 x a))
✓	cost-diff	0	(*.f64 (/.f64 t a) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) a)
✓	cost-diff	128	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 t a) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.0%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 z a) t))
✓	accuracy	90.8%	(*.f64 (/.f64 z a) t)
✓	accuracy	89.7%	(/.f64 (*.f64 x y) a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(*.f64 t (-.f64 #s(literal 0 binary64) z))
✓	accuracy	95.1%	(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) z)) a)
✓	accuracy	100.0%	(/.f64 a y)
✓	accuracy	93.0%	(/.f64 x (/.f64 a y))
✓	accuracy	100.0%	(/.f64 x a)
✓	accuracy	91.6%	(*.f64 y (/.f64 x a))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.0%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 t a) z))
✓	accuracy	93.1%	(*.f64 (/.f64 t a) z)
✓	accuracy	89.7%	(/.f64 (*.f64 x y) a)

Rules

762×	`times-frac`
704×	`accelerator-lowering-fma.f32`
704×	`accelerator-lowering-fma.f64`
512×	`-lowering-.f32`
512×	`-lowering-.f64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	21	80
1	48	80
2	85	80
3	122	80
4	177	80
5	269	80
6	398	80
7	635	80
8	1546	80
9	2405	76
10	2824	76
11	2922	76
12	2962	76
13	2962	76
0	2962	76

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ (* x y) a) (* (/ t a) z))
(/ (* x y) a)
(* x y)
x
y
a
(* (/ t a) z)
(/ t a)
t
z
(* y (/ x a))
(/ x a)
(/ x (/ a y))
(/ a y)
(/ (* t (- 0 z)) a)
(* t (- 0 z))
(- 0 z)
0
(- (/ (* x y) a) (* (/ z a) t))
(* (/ z a) t)
(/ z a)

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

Results

71.0ms

256×

valid

Compiler

Compiled 111 to 28 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 13.0ms (36.3% of total)

ival-div: 12.0ms (33.6% of total)

ival-sub: 10.0ms (28% of total)

const: 1.0ms (2.8% of total)

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

series22.0ms (0.2%)

Counts

13 → 444

Calls

Call 1

Inputs
#<alt (/ (* x y) a)>
#<alt (* (/ t a) z)>
#<alt (- (/ (* x y) a) (* (/ t a) z))>
#<alt (* x y)>
#<alt (* y (/ x a))>
#<alt (/ x a)>
#<alt (/ x (/ a y))>
#<alt (/ a y)>
#<alt (/ (* t (- 0 z)) a)>
#<alt (* t (- 0 z))>
#<alt (- 0 z)>
#<alt (* (/ z a) t)>
#<alt (- (/ (* x y) a) (* (/ z a) t))>

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

Calls

111 calls:

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

rewrite654.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5132×	`/-lowering-/.f32`
5132×	`/-lowering-/.f64`
4612×	`accelerator-lowering-fma.f32`
4612×	`accelerator-lowering-fma.f64`
4488×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	68
1	122	64
2	1140	64
0	8428	64

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1403

Calls

Call 1

Inputs
(/ (* x y) a)
(* (/ t a) z)
(- (/ (* x y) a) (* (/ t a) z))
(* x y)
(* y (/ x a))
(/ x a)
(/ x (/ a y))
(/ a y)
(/ (* t (- 0 z)) a)
(* t (- 0 z))
(- 0 z)
(* (/ z a) t)
(- (/ (* x y) a) (* (/ z a) t))

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

simplify411.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4308×	`accelerator-lowering-fma.f32`
4308×	`accelerator-lowering-fma.f64`
3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
1710×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	2448
1	211	2448
2	716	2448
3	2699	2448
4	6005	2448
0	8129	2448

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval510.0ms (4.5%)

Compiler: Compiled 33728 to 8167 computations (75.8% saved)

prune332.0ms (2.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1968	7	1975
Fresh	3	1	4
Picked	2	3	5
Done	0	2	2
Total	1973	13	1986

Accuracy

100.0%

Counts

1986 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.f64 (/.f64 x a) (/.f64 #s(literal 1 binary64) y))
✓	93.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	52.3%	(/.f64 (*.f64 x y) a)
▶	50.8%	(/.f64 (*.f64 t (neg.f64 z)) a)
	53.1%	(/.f64 y (/.f64 a x))
✓	52.2%	(/.f64 x (/.f64 a y))
✓	85.1%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 z a) t))
	49.3%	(*.f64 (/.f64 z (neg.f64 a)) t)
	50.0%	(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 t a))
▶	53.0%	(*.f64 (/.f64 y a) x)
▶	52.6%	(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 a y)))
✓	53.7%	(*.f64 y (/.f64 x a))
▶	49.5%	(neg.f64 (/.f64 t (/.f64 a z)))

Compiler

Compiled 240 to 172 computations (28.3% saved)

localize207.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(/.f64 a y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 a y))
✓	cost-diff	192	(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 a y)))
✓	cost-diff	-64	(neg.f64 z)
✓	cost-diff	-64	(*.f64 t (neg.f64 z))
✓	cost-diff	-64	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	cost-diff	-64	(neg.f64 (/.f64 t (/.f64 a z)))
✓	cost-diff	0	(/.f64 a z)
✓	cost-diff	0	(/.f64 t (/.f64 a z))
✓	cost-diff	0	(/.f64 y a)
✓	cost-diff	0	(*.f64 (/.f64 y a) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x a)
✓	cost-diff	128	(/.f64 (/.f64 x a) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 a y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 a y))
✓	accuracy	93.2%	(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 a y)))
✓	accuracy	100.0%	(*.f64 t (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	95.1%	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	accuracy	100.0%	(/.f64 a z)
✓	accuracy	100.0%	(neg.f64 (/.f64 t (/.f64 a z)))
✓	accuracy	90.9%	(/.f64 t (/.f64 a z))
✓	accuracy	100.0%	(/.f64 y a)
✓	accuracy	93.2%	(*.f64 (/.f64 y a) x)
✓	accuracy	100.0%	(/.f64 x a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	91.5%	(/.f64 (/.f64 x a) (/.f64 #s(literal 1 binary64) y))

Rules

714×	`times-frac`
512×	`-lowering-.f32`
512×	`-lowering-.f64`
512×	`accelerator-lowering-fma.f32`
512×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	73
1	55	67
2	131	66
3	286	66
4	675	66
5	1196	66
6	1551	66
7	1914	66
8	2187	66
9	2192	66
10	2200	66
11	2200	66
0	2200	66

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ x a) (/ 1 y))
(/ x a)
x
a
(/ 1 y)
1
y
(* (/ y a) x)
(/ y a)
(neg (/ t (/ a z)))
(/ t (/ a z))
t
(/ a z)
z
(/ (* t (neg z)) a)
(* t (neg z))
(neg z)
(* (neg x) (/ -1 (/ a y)))
(neg x)
(/ -1 (/ a y))
-1
(/ a y)

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

Results

68.0ms

256×

valid

Compiler

Compiled 88 to 29 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 22.0ms (67.1% of total)

ival-mult: 6.0ms (18.3% of total)

ival-neg: 3.0ms (9.1% of total)

const: 1.0ms (3% of total)

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

series29.0ms (0.3%)

Counts

15 → 396

Calls

Call 1

Inputs
#<alt (/ (/ x a) (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ x a)>
#<alt (* (/ y a) x)>
#<alt (/ y a)>
#<alt (/ t (/ a z))>
#<alt (neg (/ t (/ a z)))>
#<alt (/ a z)>
#<alt (/ (* t (neg z)) a)>
#<alt (neg z)>
#<alt (* t (neg z))>
#<alt (* (neg x) (/ -1 (/ a y)))>
#<alt (/ -1 (/ a y))>
#<alt (neg x)>
#<alt (/ a y)>

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

Calls

99 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	(/ y a)
0.0ms	a	@	0	(/ a z)
0.0ms	a	@	-inf	(/ a z)
0.0ms	y	@	0	(/ -1 (/ a y))
0.0ms	a	@	inf	(/ a z)

rewrite781.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3434×	`-lowering-.f32`
3434×	`-lowering-.f64`
2982×	`/-lowering-/.f32`
2982×	`/-lowering-/.f64`
1396×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	102	56
2	587	56
3	3758	56
0	8415	56

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 2184

Calls

Call 1

Inputs
(/ (/ x a) (/ 1 y))
(/ 1 y)
(/ x a)
(* (/ y a) x)
(/ y a)
(/ t (/ a z))
(neg (/ t (/ a z)))
(/ a z)
(/ (* t (neg z)) a)
(neg z)
(* t (neg z))
(* (neg x) (/ -1 (/ a y)))
(/ -1 (/ a y))
(neg x)
(/ a y)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) #s(literal 0 binary64)) (/.f64 x (/.f64 a y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y a)) (/.f64 x (/.f64 a y)))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 a x)) #s(literal -1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 a x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 a x)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 a y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 a y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a y)) (/.f64 x (/.f64 a y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (/.f64 a y)))
(fma.f64 (/.f64 y a) #s(literal 0 binary64) (/.f64 x (/.f64 a y)))
(fma.f64 #s(literal 0 binary64) (/.f64 y a) (/.f64 x (/.f64 a y)))
(neg.f64 (/.f64 x (/.f64 a y)))
(/.f64 x (/.f64 a y))
(/.f64 (/.f64 x a) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x a) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 x y)))
(/.f64 y (/.f64 a x))
(/.f64 y (/.f64 a (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 y a) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 a y))
(/.f64 #s(literal -1 binary64) (/.f64 a (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 a x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 a (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 a x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x a)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x a)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (/.f64 a y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 a y)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 a y) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (/.f64 a y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 (/.f64 a y) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 (.f64 x x) (/.f64 a y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 a y) x))
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(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(pow.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 a y))
(exp.f64 (log.f64 (/.f64 a y)))
(exp.f64 (*.f64 (log.f64 (/.f64 a y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 a) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 a y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 a y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 a y))
(neg.f64 (/.f64 a y))
(/.f64 a y)
(/.f64 a (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y a))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal -1 binary64) (/.f64 y a))
(/.f64 (/.f64 a y) #s(literal 1 binary64))
(/.f64 (/.f64 a y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) y)
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 a y) (/.f64 a y)) (.f64 #s(literal 0 binary64) (/.f64 a y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a y) (/.f64 a y))) (/.f64 a y))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y a)) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y a)) y) (.f64 y (/.f64 y a)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y a)) y) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) y))) (/.f64 y a))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y a)) (-.f64 #s(literal 0 binary64) y)) (.f64 y (/.f64 y a)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y a)) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y a)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 a y))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 a y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 y (-.f64 #s(literal 0 binary64) a))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y a))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 y (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) a)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) y))) (/.f64 y a))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 a y))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 a y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) y))) (/.f64 y a))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 a y) (/.f64 a y)) (.f64 #s(literal 0 binary64) (/.f64 a y))))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 y (.f64 y y)))))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 a y) (/.f64 a y)) (*.f64 #s(literal 0 binary64) (/.f64 a y))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a y)) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 a y) (/.f64 a y))))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 a y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)))) (*.f64 y y))
(pow.f64 (/.f64 y a) #s(literal -1 binary64))
(pow.f64 (/.f64 a y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y a) (/.f64 y a)) #s(literal -1/2 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) y))
(*.f64 a (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 a y))
(*.f64 (/.f64 #s(literal 1 binary64) y) a)
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal -1 binary64) (/.f64 a y))
(*.f64 (/.f64 a y) #s(literal 1 binary64))
(*.f64 (/.f64 a y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) a)
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) a))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) a))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) a)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 y a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y a) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 a (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) y))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

120×	`-lowering-.f32`
120×	`-lowering-.f64`
120×	`accelerator-lowering-fma.f32`
120×	`accelerator-lowering-fma.f64`
116×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1716
1	43	1716
2	72	1716
3	108	1716
4	147	1716
5	192	1716
6	233	1716
7	300	1716
8	345	1716
9	358	1716
10	361	1716
0	361	1716

Stop Event

1×	iter limit
1×	saturated

Counts

396 → 396

Calls

Call 1

Inputs
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ x a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ y a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(/ (* t z) a)
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(/ a z)
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 (/ (* t z) a))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(* -1 (* t z))
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(/ (* x y) a)
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 (/ y a))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)
(/ a y)

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

eval548.0ms (4.9%)

Compiler: Compiled 41107 to 19573 computations (52.4% saved)

prune702.0ms (6.2%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	2577	3	2580
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	2579	14	2593

Accuracy

100.0%

Counts

2593 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.6%	(/.f64 (/.f64 x a) (/.f64 #s(literal 1 binary64) y))
✓	93.1%	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	52.3%	(/.f64 (*.f64 x y) a)
✓	50.8%	(/.f64 (*.f64 t (neg.f64 z)) a)
	53.1%	(/.f64 y (/.f64 a x))
✓	52.2%	(/.f64 x (/.f64 a y))
✓	85.1%	(-.f64 (/.f64 (.f64 x y) a) (.f64 (/.f64 z a) t))
	49.3%	(*.f64 (/.f64 z (neg.f64 a)) t)
✓	53.0%	(*.f64 (/.f64 y a) x)
	52.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a y)) x)
✓	53.7%	(*.f64 y (/.f64 x a))
	50.7%	(neg.f64 (/.f64 (/.f64 t (/.f64 #s(literal 1 binary64) z)) a))
✓	49.5%	(neg.f64 (/.f64 t (/.f64 a z)))
	50.0%	(neg.f64 (*.f64 (/.f64 t a) z))

Compiler

Compiled 471 to 221 computations (53.1% saved)

regimes194.0ms (1.7%)

Counts

33 → 3

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 y a) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))
(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
(fma.f64 (/.f64 x a) y (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))

Calls

9 calls:

41.0ms	(*.f64 z t)
28.0ms	(*.f64 x y)
26.0ms	z
24.0ms	x
21.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
94.9%	2	`x`
93.1%	1	`y`
94.9%	2	`z`
93.1%	1	`t`
95.8%	2	`a`
94.8%	2	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
97.8%	3	`(-.f64 (.f64 x y) (.f64 z t))`
95.7%	2	`(*.f64 x y)`
95.0%	2	`(*.f64 z t)`

Compiler

Compiled 72 to 54 computations (25% saved)

regimes31.0ms (0.3%)

Counts

32 → 3

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 x a) y (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))
(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
(fma.f64 (/.f64 x a) y (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 a t) z)))

Calls

1 calls:

27.0ms

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

Results

Accuracy	Segments	Branch
97.4%	3	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts

31 → 2

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 a y))
(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Calls

3 calls:

15.0ms	(*.f64 x y)
9.0ms	a
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
95.3%	2	`(*.f64 x y)`
93.1%	1	`a`
93.1%	1	`(-.f64 (.f64 x y) (.f64 z t))`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes131.0ms (1.2%)

Counts

16 → 3

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y a) x)
(/.f64 (*.f64 t (neg.f64 z)) a)
(*.f64 y (/.f64 x a))

Calls

6 calls:

34.0ms	y
24.0ms	a
23.0ms	x
20.0ms	t
16.0ms	z

Results

Accuracy	Segments	Branch
73.9%	7	`y`
77.2%	7	`t`
71.3%	10	`a`
78.9%	5	`x`
76.5%	5	`z`
80.8%	3	`(*.f64 x y)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes6.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 y (/.f64 x a))
(*.f64 (/.f64 y a) x)
(/.f64 x (/.f64 a y))
(/.f64 y (/.f64 a x))
(/.f64 (*.f64 x y) a)
(neg.f64 (*.f64 (/.f64 t a) z))
(neg.f64 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 z (neg.f64 a)) t)

Outputs
(*.f64 (/.f64 y a) x)
(neg.f64 (*.f64 (/.f64 t a) z))
(*.f64 y (/.f64 x a))

Calls

1 calls:

6.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
79.6%	3	`(*.f64 x y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	x
4.0ms	z
3.0ms	(*.f64 x y)
3.0ms	t
3.0ms	a

Results

Accuracy	Segments	Branch
53.7%	1	`a`
53.7%	1	`y`
55.8%	3	`t`
55.8%	2	`z`
55.5%	2	`x`
56.7%	3	`(*.f64 x y)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
53.7%	1	`y`
53.7%	1	`x`
53.7%	1	`z`

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.352443920580197e+238	7.232517445160388e+240
0.0ms	-inf	-1.7600321225411783e+308

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.352443920580197e+238	7.232517445160388e+240
0.0ms	-inf	-1.7600321225411783e+308

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.7600321225411783e+308

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6916768674679647e-32	6.408567392108059e-32
0.0ms	-8.496716687450047e+37	-3.4144426547396023e+37

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.6916768674679647e-32	6.408567392108059e-32
0.0ms	-8.496716687450047e+37	-3.4144426547396023e+37

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-4.883548087771807e+63	-4.4466339932439655e+57

Results

9.0ms

144×

valid

Compiler

Compiled 220 to 160 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50% of total)

ival-sub: 1.0ms (25% of total)

ival-div: 1.0ms (25% of total)

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 206 to 65 computations (68.4% saved)

preprocess94.0ms (0.8%)

Remove: (negabs a)
Compiler: Compiled 1688 to 688 computations (59.2% saved)

analyze157.0ms (1.4%)

sample1.1s (9.6%)

preprocess331.0ms (2.9%)

explain158.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize112.0ms (1%)

series16.0ms (0.1%)

rewrite778.0ms (6.9%)

simplify500.0ms (4.4%)

eval138.0ms (1.2%)

prune107.0ms (0.9%)

localize470.0ms (4.2%)

series130.0ms (1.2%)

rewrite911.0ms (8.1%)

simplify625.0ms (5.5%)

eval530.0ms (4.7%)

prune234.0ms (2.1%)

localize204.0ms (1.8%)

series22.0ms (0.2%)

rewrite654.0ms (5.8%)

simplify411.0ms (3.6%)

eval510.0ms (4.5%)

prune332.0ms (2.9%)

localize207.0ms (1.8%)

series29.0ms (0.3%)

rewrite781.0ms (6.9%)

simplify68.0ms (0.6%)

eval548.0ms (4.9%)

prune702.0ms (6.2%)

regimes194.0ms (1.7%)

regimes31.0ms (0.3%)

regimes33.0ms (0.3%)

regimes131.0ms (1.2%)

regimes6.0ms (0.1%)

regimes21.0ms (0.2%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

soundness2.0ms (0%)

preprocess94.0ms (0.8%)

end0.0ms (0%)

Profiling