Metrics for Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

analyze51.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (34.1% of total)

ival-sub: 4.0ms (27.3% of total)

ival-add: 3.0ms (20.5% of total)

ival-div: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

sample1.0s (10%)

Results

588.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-add: 82.0ms (28.1% of total)

ival-mult: 71.0ms (24.3% of total)

ival-div: 70.0ms (24% of total)

ival-sub: 59.0ms (20.2% of total)

const: 8.0ms (2.7% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess675.0ms (6.7%)

Algorithm

2×	egg-herbie

Rules

6920×	`accelerator-lowering-fma.f32`
6920×	`accelerator-lowering-fma.f64`
2420×	`-lowering-.f32`
2420×	`-lowering-.f64`
2102×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	103
1	84	93
2	202	90
3	757	90
4	2181	90
5	5110	90
6	6182	90
7	6499	90
8	6578	90
9	6619	90
10	6620	90
11	6885	90
12	7418	90
13	7630	90
14	7682	90
15	7740	90
16	7764	90
17	7766	90
18	7766	90
0	7	9
1	11	9
2	22	9
3	49	9
4	85	9
5	134	9
6	239	9
7	485	9
8	1318	9
9	2870	9
10	3834	9
11	4295	9
12	4561	9
13	4692	9
14	4707	9
15	6209	9
16	6685	9
17	6949	9
18	7091	9
19	7213	9
20	7213	9
21	7490	9
22	7596	9
23	7596	9
24	7736	9
0	8014	8

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x (* y (- z x))) z)
(+ y (* (/ x z) (- 1 y)))
(/ (+ (neg x) (* y (- z (neg x)))) z)
(+ y (* (/ x z) (+ y -1)))
(/ (+ x (* (neg y) (- z x))) z)
(- (* (/ x z) (+ y 1)) y)
(/ (+ x (* y (- (neg z) x))) (neg z))
(+ y (* (/ x z) (+ y -1)))
(neg (/ (+ (neg x) (* y (- z (neg x)))) z))
(- (* (/ x z) (- 1 y)) y)
(neg (/ (+ x (* (neg y) (- z x))) z))
(+ y (* (/ x z) (- -1 y)))
(neg (/ (+ x (* y (- (neg z) x))) (neg z)))
(- (* (/ x z) (- 1 y)) y)
(/ (+ y (* x (- z y))) z)
(+ x (* (/ y z) (- 1 x)))
(/ (+ z (* y (- x z))) x)
(+ y (* z (/ (- 1 y) x)))
(/ (+ x (* z (- y x))) y)
(+ z (* x (/ (- 1 z) y)))

explain74.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
36	-	-	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
0	-	-	`x`
0	-	-	`(-.f64 z x)`
0	-	-	`z`
0	-	-	`(*.f64 y (-.f64 z x))`
0	-	-	`y`
0	-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`

Results

43.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 4.0ms (25.9% of total)

ival-mult: 4.0ms (25.9% of total)

ival-sub: 3.0ms (19.4% of total)

ival-add: 3.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

eval2.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	99.9%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize543.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(*.f64 y (-.f64 z x))
✓	cost-diff	0	(+.f64 x (*.f64 y (-.f64 z x)))
✓	cost-diff	0	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	cost-diff	0	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	86.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	95.6%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Rules

6640×	`accelerator-lowering-fma.f32`
6640×	`accelerator-lowering-fma.f64`
2304×	`-lowering-.f32`
2304×	`-lowering-.f64`
2160×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	24	50
2	45	50
3	108	50
4	213	50
5	382	50
6	738	50
7	1477	50
8	2690	50
9	2997	50
10	3337	50
11	3670	50
12	3893	50
13	3907	50
14	3907	50
15	4511	50
16	5511	50
17	5920	50
18	5991	50
19	6005	50
20	6009	50
21	6162	50
22	6352	50
23	6524	50
24	6524	50
0	8064	47

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

38.0ms

256×

valid

Compiler

Compiled 57 to 19 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 5.0ms (27.5% of total)

ival-mult: 5.0ms (27.5% of total)

ival-div: 4.0ms (22% of total)

ival-add: 3.0ms (16.5% of total)

const: 1.0ms (5.5% of total)

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

series27.0ms (0.3%)

Counts

8 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ (+ x (* y (- z x))) z)
2.0ms	x	@	-inf	(/ (+ x (* y (- z x))) z)
2.0ms	x	@	inf	(+ y (* (- 1 y) (/ x z)))
1.0ms	z	@	inf	(* (- 1 y) (/ x z))
1.0ms	x	@	0	(* (- 1 y) (/ x z))

rewrite591.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

6524×	`accelerator-lowering-fma.f32`
6524×	`accelerator-lowering-fma.f64`
5610×	`-lowering-.f32`
5610×	`-lowering-.f64`
4378×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	80	46
2	701	46
0	8304	43

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 680

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x z) (/.f64 (neg.f64 y) (/.f64 z x)))
(+.f64 (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 z x)) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 z x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (/.f64 x z) (neg.f64 y) (/.f64 x z))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) (/.f64 x z))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (neg.f64 y)) (/.f64 x z))
(fma.f64 (neg.f64 y) (/.f64 x z) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 z x)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (/.f64 x z))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) (/.f64 z x)))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z))
(fma.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x z)) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) z) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) z) x) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) z) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) y)) x) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 z (+.f64 #s(literal 1 binary64) y))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) z) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) y)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) z))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (neg.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (*.f64 (+.f64 #s(literal 1 binary64) y) z))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (*.f64 z (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (neg.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) y) z) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) y)) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 (/.f64 z x) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z x)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (neg.f64 x))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x))) (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))) (neg.f64 (neg.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))) z)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z x))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (pow.f64 (/.f64 (neg.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (-.f64 (.f64 (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 (neg.f64 y) (/.f64 z x))) (.f64 (/.f64 x z) (/.f64 (neg.f64 y) (/.f64 z x))))))
(/.f64 (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (/.f64 (neg.f64 y) (/.f64 z x)) (/.f64 (neg.f64 y) (/.f64 z x)))) (-.f64 (/.f64 x z) (/.f64 (neg.f64 y) (/.f64 z x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 z (neg.f64 x)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) z)
(/.f64 (.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (/.f64 x z) (+.f64 #s(literal -1 binary64) (.f64 y y))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 x z)) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) z) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 x z)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) z)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) y) z)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) z)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))))
(.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (+.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) x)
(.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z)) (neg.f64 x))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) y)) (.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 z x)) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 y #s(literal 1 binary64)))))
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(fma.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 (+.f64 x z) (+.f64 x z))))) (-.f64 (.f64 z z) (.f64 x (+.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 z z) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) z)))))
(/.f64 (+.f64 (neg.f64 (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 x z))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 x z))) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 x z) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 z z))))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x z) (+.f64 (.f64 z z) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 x z))) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 x z))) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 x z)) (.f64 (+.f64 x z) (.f64 x x))) (*.f64 (+.f64 x z) (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 z z)) (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (+.f64 (.f64 x (neg.f64 (.f64 x x))) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (-.f64 (.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))) (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (neg.f64 x) z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))))) (+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 z z) (+.f64 x z))) (.f64 (/.f64 (.f64 x x) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z)))) (+.f64 (/.f64 (.f64 z z) (+.f64 x z)) (/.f64 (.f64 x x) (+.f64 x z))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x z))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 z z) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z)))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z)))))
(.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 x z))) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))))
(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(.f64 (+.f64 x z) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z))))))
(.f64 (+.f64 (neg.f64 (.f64 z z)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z)))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (-.f64 (.f64 z z) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 x z)) (.f64 (.f64 x x) (.f64 (+.f64 x z) (+.f64 x z)))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (+.f64 x z)) (-.f64 (.f64 x (+.f64 x z)) (.f64 z z)))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 (+.f64 x z) (+.f64 x z))))) (-.f64 (.f64 z z) (*.f64 x (+.f64 x z))))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (*.f64 x (-.f64 x z))))

simplify397.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

9280×	`accelerator-lowering-fma.f32`
9280×	`accelerator-lowering-fma.f64`
2932×	`-lowering-.f32`
2932×	`-lowering-.f64`
1392×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	1655
1	459	1376
2	1385	1376
3	3964	1376
4	6212	1376
0	8093	1295

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval154.0ms (1.5%)

Compiler: Compiled 21893 to 7010 computations (68% saved)

prune136.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	912	8	920
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	913	9	922

Accuracy

100.0%

Counts

922 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.6%	(/.f64 (*.f64 z y) z)
▶	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
	60.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	40.3%	(/.f64 x z)
▶	99.9%	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
▶	77.1%	(+.f64 y (/.f64 x z))
✓	99.9%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	68.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	39.4%	y

Compiler

Compiled 148 to 98 computations (33.8% saved)

localize736.0ms (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(*.f64 y (-.f64 z x))
✓	cost-diff	0	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(+.f64 y (/.f64 x z))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓	cost-diff	0	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	82.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	95.1%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)))
✓	accuracy	94.4%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Rules

5792×	`accelerator-lowering-fma.f32`
5792×	`accelerator-lowering-fma.f64`
2224×	`-lowering-.f32`
2224×	`-lowering-.f64`
2072×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	34	61
2	77	61
3	151	61
4	342	61
5	690	61
6	1494	61
7	2973	61
8	4019	61
9	4658	61
10	4969	61
11	5153	61
12	5338	61
13	6131	61
14	6684	61
15	6763	61
16	6798	61
17	6844	61
18	6860	61
19	6898	61
20	7002	61
21	7418	61
22	7418	61
0	8340	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

150.0ms

256×

valid

Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 10.0ms (39.9% of total)

ival-sub: 8.0ms (32% of total)

ival-mult: 4.0ms (16% of total)

ival-add: 3.0ms (12% of total)

const: 1.0ms (4% of total)

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

series242.0ms (2.4%)

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
162.0ms	y	@	0	(- 1 y)
3.0ms	x	@	inf	(* y (- 1 (/ x z)))
1.0ms	y	@	0	(* y (- 1 (/ x z)))
0.0ms	y	@	inf	(/ (* y (- z x)) z)
0.0ms	y	@	0	(/ (* y (- z x)) z)

rewrite524.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5650×	`accelerator-lowering-fma.f32`
5650×	`accelerator-lowering-fma.f64`
4538×	`/-lowering-/.f32`
4538×	`/-lowering-/.f64`
3722×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	107	57
2	984	57
0	8788	56

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 679

Calls

Call 1

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

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

simplify479.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

9230×	`accelerator-lowering-fma.f32`
9230×	`accelerator-lowering-fma.f64`
2904×	`-lowering-.f32`
2904×	`-lowering-.f64`
1506×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1821
1	356	1659
2	1003	1659
3	2676	1659
4	5024	1659
5	7708	1659
0	8032	1632

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval165.0ms (1.6%)

Compiler: Compiled 17531 to 6145 computations (64.9% saved)

prune237.0ms (2.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1049	3	1052
Fresh	1	2	3
Picked	1	4	5
Done	1	0	1
Total	1052	9	1061

Accuracy

100.0%

Counts

1061 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.6%	(/.f64 (*.f64 z y) z)
✓	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
▶	68.6%	(/.f64 y (/.f64 z (-.f64 z x)))
▶	40.3%	(/.f64 x z)
▶	68.6%	(+.f64 y (/.f64 y (/.f64 z (neg.f64 x))))
✓	77.1%	(+.f64 y (/.f64 x z))
▶	61.5%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	68.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.4%	y

Compiler

Compiled 122 to 79 computations (35.2% saved)

localize433.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(/.f64 z (-.f64 z x))
✓	cost-diff	0	(/.f64 y (/.f64 z (-.f64 z x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	256	(/.f64 (*.f64 z y) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	-64	(/.f64 z (neg.f64 x))
✓	cost-diff	-64	(/.f64 y (/.f64 z (neg.f64 x)))
✓	cost-diff	64	(+.f64 y (/.f64 y (/.f64 z (neg.f64 x))))
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(/.f64 z (-.f64 z x))
✓	accuracy	95.3%	(/.f64 y (/.f64 z (-.f64 z x)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	95.6%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	74.5%	(/.f64 (*.f64 z y) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 y (/.f64 y (/.f64 z (neg.f64 x))))
✓	accuracy	90.6%	(/.f64 y (/.f64 z (neg.f64 x)))

Rules

4782×	`accelerator-lowering-fma.f32`
4782×	`accelerator-lowering-fma.f64`
2850×	`-lowering-.f32`
2850×	`-lowering-.f64`
2176×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	35	57
2	83	55
3	181	55
4	372	55
5	814	55
6	2806	55
7	5498	55
0	8096	55

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

55.0ms

256×

valid

Compiler

Compiled 77 to 20 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 15.0ms (51.3% of total)

ival-mult: 6.0ms (20.5% of total)

ival-sub: 4.0ms (13.7% of total)

ival-add: 3.0ms (10.3% of total)

const: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

series23.0ms (0.2%)

Counts

12 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite632.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

6388×	`accelerator-lowering-fma.f32`
6388×	`accelerator-lowering-fma.f64`
5070×	`-lowering-.f32`
5070×	`-lowering-.f64`
4228×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	104	57
2	851	51
0	8598	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1077

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (/.f64 y z) #s(literal 0 binary64)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 y (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y (/.f64 z x)))
(fma.f64 #s(literal 0 binary64) (/.f64 y z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (/.f64 y z) #s(literal 0 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(neg.f64 (/.f64 y (/.f64 z x)))
(neg.f64 (*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y))
(/.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) z)
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) z)
(/.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 (/.f64 y z) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x))) (+.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 (.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (/.f64 y z)) (+.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 y z)) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 z (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(*.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 y z) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)) #s(literal 1 binary64))
(*.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) y)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (-.f64 #s(literal 0 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 x y))
(*.f64 (/.f64 y (/.f64 z x)) #s(literal -1 binary64))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) x)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 y x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x z))
(.f64 (pow.f64 (/.f64 z (.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z))) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) x)
(*.f64 (/.f64 y (/.f64 z #s(literal -1 binary64))) x)
(+.f64 y (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(+.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 y (/.f64 z x)))) (neg.f64 (/.f64 (/.f64 y (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) y)) (+.f64 y (/.f64 y (/.f64 z x))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (-.f64 z x)) y)) #s(literal -1 binary64)))
(-.f64 y (/.f64 y (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z (-.f64 x z))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 y (/.f64 z x)))) (/.f64 (/.f64 y (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) y)) (+.f64 y (/.f64 y (/.f64 z x)))))
(-.f64 (/.f64 (/.f64 y (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) y)) (.f64 y (-.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))) (/.f64 (.f64 y y) (*.f64 y (-.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 x z))) (/.f64 y (/.f64 z (-.f64 x z))))
(fma.f64 y #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z)) y)
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 z (/.f64 y z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z)) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y)) y)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z) y)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 y z) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y)) y)
(fma.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)) #s(literal 1 binary64) y)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y)
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 #s(literal 1 binary64) y (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)) y)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z (/.f64 #s(literal -1 binary64) z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y (/.f64 z x)))) (neg.f64 (/.f64 (/.f64 y (/.f64 (/.f64 (/.f64 z x) (/.f64 x z)) y)) (+.f64 y (/.f64 y (/.f64 z x))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) y y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) y)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 0 binary64) x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)) y)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 z x)) y)
(fma.f64 (/.f64 y z) z (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) x) y)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y x) y)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x y) y)
(fma.f64 (/.f64 y (/.f64 z x)) #s(literal -1 binary64) y)
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) x y)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) z) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) z) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) z) y)
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x z) y)
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 z (-.f64 (.f64 z z) (.f64 x x)))) (+.f64 z x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(.f64 (/.f64 z (+.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (/.f64 z (.f64 (+.f64 z x) (-.f64 x z))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(+.f64 z (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) z)
(+.f64 #s(literal 0 binary64) (-.f64 z x))
(+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(+.f64 (-.f64 z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 z x)
(-.f64 z (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(-.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)))
(-.f64 (/.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x #s(literal -1 binary64) z)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) z)
(fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (+.f64 z x)) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) z)
(fma.f64 (/.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x x))) (-.f64 z x) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (.f64 x (-.f64 x z))) (neg.f64 (/.f64 (.f64 x x) (+.f64 z x))))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 x (+.f64 z x)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x)))))) (+.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))
(fma.f64 (/.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 (.f64 z z) (.f64 x (+.f64 z x))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(neg.f64 (-.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)))
(/.f64 (-.f64 z x) #s(literal 1 binary64))
(/.f64 (-.f64 x z) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z x)))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 z x))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(/.f64 (+.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (+.f64 z x))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x x)) (.f64 z (.f64 z z))) (+.f64 (.f64 x x) (-.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))) (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 z z)) (-.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 z z) (+.f64 z x))) (.f64 (/.f64 (.f64 x x) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x)))) (+.f64 (/.f64 (.f64 z z) (+.f64 z x)) (/.f64 (.f64 x x) (+.f64 z x))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))) (+.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 z x))) (+.f64 (.f64 z z) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(*.f64 (-.f64 z x) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x)))))
(.f64 (+.f64 (.f64 z z) (.f64 x (+.f64 z x))) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x))))))
(*.f64 #s(literal -1 binary64) (-.f64 x z))
(.f64 (-.f64 (.f64 z z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(.f64 (+.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 z x))))))
(.f64 (.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 z x)))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (-.f64 (.f64 z z) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (-.f64 (.f64 z z) (*.f64 x x))) (-.f64 z x))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (+.f64 (.f64 z (.f64 (.f64 z z) (.f64 z (.f64 z z)))) (.f64 (.f64 x (+.f64 z x)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x)))))) (+.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 x x) (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (+.f64 (.f64 z z) (*.f64 x (-.f64 x z))))

simplify525.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

8882×	`accelerator-lowering-fma.f32`
8882×	`accelerator-lowering-fma.f64`
3560×	`-lowering-.f32`
3560×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1686
1	484	1610
2	1307	1580
3	4465	1564
0	8507	1551

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

eval270.0ms (2.7%)

Compiler: Compiled 23283 to 8667 computations (62.8% saved)

prune184.0ms (1.8%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1446	4	1450
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1448	11	1459

Accuracy

100.0%

Counts

1459 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(/.f64 (*.f64 z y) z)
✓	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
▶	35.7%	(/.f64 z (/.f64 z y))
✓	40.3%	(/.f64 x z)
▶	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
▶	68.6%	(-.f64 y (/.f64 y (/.f64 z x)))
✓	77.1%	(+.f64 y (/.f64 x z))
✓	61.5%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
▶	40.2%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	68.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.4%	y

Compiler

Compiled 90 to 61 computations (32.2% saved)

localize569.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	256	(/.f64 z (/.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(-.f64 y (/.f64 y (/.f64 z x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	82.8%	(/.f64 z (/.f64 z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 y (/.f64 y (/.f64 z x)))
✓	accuracy	90.6%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)

Rules

6710×	`accelerator-lowering-fma.f32`
6710×	`accelerator-lowering-fma.f64`
3998×	`-lowering-.f32`
3998×	`-lowering-.f64`
1790×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	26	33
2	60	33
3	201	33
4	811	33
5	2220	33
6	4408	33
7	6357	33
8	7828	33
0	8079	33

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

48.0ms

256×

valid

Compiler

Compiled 53 to 22 computations (58.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 20.0ms (80% of total)

ival-mult: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

const: 1.0ms (4% of total)

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

series13.0ms (0.1%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite553.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

8674×	`accelerator-lowering-fma.f32`
8674×	`accelerator-lowering-fma.f64`
4598×	`-lowering-.f32`
4598×	`-lowering-.f64`
3546×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	80	29
2	645	29
0	9269	29

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 571

Calls

Call 1

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

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

simplify304.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3524×	`accelerator-lowering-fma.f32`
3524×	`accelerator-lowering-fma.f64`
2614×	`-lowering-.f32`
2614×	`-lowering-.f64`
1156×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	735
1	82	735
2	179	735
3	446	735
4	1440	735
5	4677	735
6	7067	735
0	8036	735

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval119.0ms (1.2%)

Compiler: Compiled 9338 to 3572 computations (61.7% saved)

prune97.0ms (1%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	775	0	775
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	775	11	786

Accuracy

100.0%

Counts

786 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(/.f64 (*.f64 z y) z)
✓	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	35.7%	(/.f64 z (/.f64 z y))
✓	40.3%	(/.f64 x z)
✓	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	68.6%	(-.f64 y (/.f64 y (/.f64 z x)))
✓	77.1%	(+.f64 y (/.f64 x z))
✓	61.5%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	40.2%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	68.6%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.4%	y

Compiler

Compiled 199 to 109 computations (45.2% saved)

regimes92.0ms (0.9%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes42.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
13.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
89.5%	5	`x`
99.1%	3	`y`
85.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes52.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
77.1%	1	`z`
77.1%	1	`x`
77.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
y
(/.f64 x z)
y

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
61.3%	5	`x`
65.2%	3	`y`
59.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

2.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
39.4%	1	`x`
39.4%	1	`z`
39.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.998916967867483e-13	91.810134532086
15.0ms	-871098611522637.4	-2008.5705209445255

Results

19.0ms

320×

valid

Compiler

Compiled 418 to 282 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (33.1% of total)

ival-sub: 2.0ms (22.1% of total)

ival-div: 2.0ms (22.1% of total)

ival-add: 2.0ms (22.1% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.998916967867483e-13	91.810134532086
17.0ms	-871098611522637.4	-2008.5705209445255

Results

23.0ms

320×

valid

Compiler

Compiled 418 to 292 computations (30.1% saved)

Precisions

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

ival-sub: 4.0ms (36.4% of total)

ival-div: 2.0ms (18.2% of total)

ival-add: 2.0ms (18.2% of total)

ival-mult: 2.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.998916967867483e-13	91.810134532086
11.0ms	-1.4576469586114223e-39	-2.4814190033641242e-42

Results

17.0ms

288×

valid

Compiler

Compiled 234 to 174 computations (25.6% saved)

Precisions

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

ival-sub: 2.0ms (24.4% of total)

ival-div: 2.0ms (24.4% of total)

ival-mult: 2.0ms (24.4% of total)

ival-add: 1.0ms (12.2% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 85 to 39 computations (54.1% saved)

preprocess48.0ms (0.5%)

Compiler: Compiled 222 to 108 computations (51.4% saved)

analyze51.0ms (0.5%)

sample1.0s (10%)

preprocess675.0ms (6.7%)

explain74.0ms (0.7%)

eval2.0ms (0%)

prune1.0ms (0%)

localize543.0ms (5.4%)

series27.0ms (0.3%)

rewrite591.0ms (5.8%)

simplify397.0ms (3.9%)

eval154.0ms (1.5%)

prune136.0ms (1.3%)

localize736.0ms (7.3%)

series242.0ms (2.4%)

rewrite524.0ms (5.2%)

simplify479.0ms (4.7%)

eval165.0ms (1.6%)

prune237.0ms (2.3%)

localize433.0ms (4.3%)

series23.0ms (0.2%)

rewrite632.0ms (6.2%)

simplify525.0ms (5.2%)

eval270.0ms (2.7%)

prune184.0ms (1.8%)

localize569.0ms (5.6%)

series13.0ms (0.1%)

rewrite553.0ms (5.5%)

simplify304.0ms (3%)

eval119.0ms (1.2%)

prune97.0ms (1%)

regimes92.0ms (0.9%)

regimes42.0ms (0.4%)

regimes52.0ms (0.5%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

bsearch34.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch29.0ms (0.3%)

soundness1.0ms (0%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling