Metrics for Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

analyze81.0ms (0.6%)

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 9 computations (30.8% saved)

Precisions

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

ival-sub: 4.0ms (27.1% of total)

ival-mult: 4.0ms (27.1% of total)

ival-add: 3.0ms (20.3% of total)

ival-div: 2.0ms (13.6% of total)

const: 1.0ms (6.8% of total)

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

sample902.0ms (6.8%)

Results

639.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-sub: 136.0ms (36% of total)

ival-div: 112.0ms (29.7% of total)

ival-mult: 66.0ms (17.5% of total)

ival-add: 50.0ms (13.2% of total)

const: 11.0ms (2.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess812.0ms (6.1%)

Algorithm

2×	egg-herbie

Rules

14244×	`accelerator-lowering-fma.f32`
14244×	`accelerator-lowering-fma.f64`
3296×	`/-lowering-/.f32`
3296×	`/-lowering-/.f64`
2676×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	142	95
2	425	92
3	1836	90
4	5107	90
5	7509	90
0	8	9
1	24	9
2	53	9
3	146	9
4	337	9
5	756	9
6	1640	9
7	2878	9
8	4301	9
9	5098	9
10	5619	9
11	5700	9
12	5730	9
13	5734	9
14	5826	9
15	6012	9
16	6046	9
17	6062	9
18	6166	9
19	6472	9
20	6484	9
21	6484	9
0	8622	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain113.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
0	-	-	`x`
0	-	-	`(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))`
0	-	-	`z`
0	-	-	`(+.f64 (-.f64 y z) #s(literal 1 binary64))`
0	-	-	`(-.f64 y z)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

60.0ms

512×

valid

Compiler

Compiled 76 to 38 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 13.0ms (37.8% of total)

ival-add: 7.0ms (20.3% of total)

ival-mult: 7.0ms (20.3% of total)

ival-div: 4.0ms (11.6% of total)

const: 3.0ms (8.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
▶	95.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize743.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 y #s(literal 1 binary64)) z)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	accuracy	88.8%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal 1 binary64)) z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))
✓	accuracy	95.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))

Rules

13908×	`accelerator-lowering-fma.f32`
13908×	`accelerator-lowering-fma.f64`
3296×	`/-lowering-/.f32`
3296×	`/-lowering-/.f64`
2668×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	38	53
2	72	53
3	184	53
4	349	53
5	783	53
6	1728	53
7	3053	53
8	4213	53
9	4931	53
10	5399	53
11	5464	53
12	5494	53
13	5498	53
14	5590	53
15	5776	53
16	5810	53
17	5826	53
18	5930	53
19	6236	53
20	6248	53
21	6248	53
0	8366	50

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

51.0ms

256×

valid

Compiler

Compiled 61 to 33 computations (45.9% saved)

Precisions

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

ival-add: 14.0ms (47.5% of total)

ival-div: 7.0ms (23.8% of total)

ival-mult: 5.0ms (17% of total)

const: 2.0ms (6.8% of total)

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

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

series24.0ms (0.2%)

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite609.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

6746×	`accelerator-lowering-fma.f32`
6746×	`accelerator-lowering-fma.f64`
4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
3572×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	94	48
2	809	48
0	8546	45

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 538

Calls

Call 1

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

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

simplify792.0ms (6%)

Algorithm

1×	egg-herbie

Rules

12336×	`accelerator-lowering-fma.f32`
12336×	`accelerator-lowering-fma.f64`
3420×	`-lowering-.f32`
3420×	`-lowering-.f64`
1850×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1439
1	342	1439
2	1037	1315
3	3388	1279
4	5812	1279
0	8047	1186

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval136.0ms (1%)

Compiler: Compiled 13049 to 6877 computations (47.3% saved)

prune107.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	743	11	754
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	745	11	756

Accuracy

100.0%

Counts

756 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.8%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))) z)
	40.2%	(/.f64 (*.f64 x y) z)
▶	96.7%	(/.f64 x (/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))))
	87.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y (-.f64 #s(literal 1 binary64) z))))
▶	63.5%	(-.f64 (/.f64 x z) x)
▶	35.1%	(-.f64 #s(literal 0 binary64) x)
	89.1%	(*.f64 (+.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))
▶	62.5%	(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) z))
	37.5%	(*.f64 x (/.f64 y z))
	63.4%	(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
▶	70.3%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))

Compiler

Compiled 224 to 156 computations (30.4% saved)

localize590.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	0	(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 y z))
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 (/.f64 x z) x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(+.f64 y (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z)))
✓	cost-diff	0	(/.f64 x (/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) y) z)
✓	accuracy	95.6%	(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 y z))
✓	accuracy	95.7%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(+.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z)))
✓	accuracy	96.7%	(/.f64 x (/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))))

Rules

7788×	`accelerator-lowering-fma.f32`
7788×	`accelerator-lowering-fma.f64`
2952×	`-lowering-.f32`
2952×	`-lowering-.f64`
1792×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	41	70
2	83	70
3	170	70
4	419	70
5	864	70
6	1851	70
7	4350	70
8	6288	70
9	7383	70
10	7553	70
11	7638	70
12	7650	70
0	8399	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ z (+ y (- 1 z))))
x
(/ z (+ y (- 1 z)))
z
(+ y (- 1 z))
y
(- 1 z)
1
(- 0 x)
0
(- (/ x z) x)
(/ x z)
(* x (+ -1 (/ y z)))
(+ -1 (/ y z))
-1
(/ y z)
(* x (/ (+ 1 y) z))
(/ (+ 1 y) z)
(+ 1 y)

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

Results

96.0ms

256×

valid

Compiler

Compiled 85 to 41 computations (51.8% saved)

Precisions

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

ival-div: 13.0ms (35.7% of total)

ival-add: 10.0ms (27.5% of total)

ival-sub: 7.0ms (19.2% of total)

ival-mult: 4.0ms (11% of total)

const: 2.0ms (5.5% of total)

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

series78.0ms (0.6%)

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (/ x (/ z (+ y (- 1 z))))>
#<alt (/ z (+ y (- 1 z)))>
#<alt (+ y (- 1 z))>
#<alt (- 1 z)>
#<alt (- 0 x)>
#<alt (- (/ x z) x)>
#<alt (/ x z)>
#<alt (* x (+ -1 (/ y z)))>
#<alt (+ -1 (/ y z))>
#<alt (/ y z)>
#<alt (* x (/ (+ 1 y) z))>
#<alt (/ (+ 1 y) z)>
#<alt (+ 1 y)>

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

Calls

78 calls:

Time	Variable		Point	Expression
45.0ms	y	@	inf	(/ y z)
3.0ms	y	@	inf	(* x (+ -1 (/ y z)))
0.0ms	x	@	0	(* x (/ (+ 1 y) z))
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	z	@	inf	(* x (+ -1 (/ y z)))

rewrite517.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5224×	`/-lowering-/.f32`
5224×	`/-lowering-/.f64`
4020×	`-lowering-.f32`
4020×	`-lowering-.f64`
3442×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	135	64
2	1250	64
0	8608	64

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 788

Calls

Call 1

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

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

simplify762.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

15460×	`accelerator-lowering-fma.f32`
15460×	`accelerator-lowering-fma.f64`
5248×	`-lowering-.f32`
5248×	`-lowering-.f64`
2404×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1981
1	642	1962
2	1908	1829
3	7131	1829
0	8082	1745

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 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)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 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))
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (* -1 (/ x y)) (/ x z)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(* y (+ (* -1 (/ x y)) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(* -1 (* y (+ (* -1 (/ x z)) (/ x y))))
(/ (* x y) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(/ (+ (* -1 (* x z)) (* x y)) z)
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
(* -1 x)
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
(+ (* -1 x) (/ (* x y) z))
-1
(- (/ y z) 1)
(- (/ y z) 1)
(- (/ y z) 1)
(/ y z)
(* y (- (/ 1 z) (/ 1 y)))
(* y (- (/ 1 z) (/ 1 y)))
(* y (- (/ 1 z) (/ 1 y)))
(/ y z)
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(/ y z)
(/ (+ y (* -1 z)) z)
(/ (+ y (* -1 z)) z)
(/ (+ y (* -1 z)) z)
-1
(- (/ y z) 1)
(- (/ y z) 1)
(- (/ y z) 1)
-1
(- (/ y z) 1)
(- (/ y z) 1)
(- (/ y z) 1)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (+ 1 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)
(+ (/ x z) (/ (* x y) z))
(+ (/ x z) (/ (* x y) z))
(+ (/ x z) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ x (* y z))))
(* y (+ (/ x z) (/ x (* y z))))
(* y (+ (/ x z) (/ x (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* 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)
(/ 1 z)
(+ (/ 1 z) (/ y z))
(+ (/ 1 z) (/ y z))
(+ (/ 1 z) (/ y z))
(/ y z)
(* y (+ (/ 1 z) (/ 1 (* y z))))
(* y (+ (/ 1 z) (/ 1 (* y z))))
(* y (+ (/ 1 z) (/ 1 (* y z))))
(/ y z)
(* y (+ (/ 1 z) (/ 1 (* y z))))
(* y (+ (/ 1 z) (/ 1 (* y z))))
(* y (+ (/ 1 z) (/ 1 (* y z))))
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
(/ (+ 1 y) z)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))

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

eval208.0ms (1.6%)

Compiler: Compiled 19851 to 10554 computations (46.8% saved)

prune235.0ms (1.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1089	11	1100
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	1094	17	1111

Accuracy

100.0%

Counts

1111 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))) z)
▶	63.3%	(/.f64 (*.f64 x (-.f64 y z)) z)
	40.2%	(/.f64 (*.f64 x y) z)
	87.7%	(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z))) (/.f64 z x))
✓	96.7%	(/.f64 x (/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))))
	63.4%	(/.f64 x (/.f64 z (+.f64 y #s(literal 1 binary64))))
	38.4%	(/.f64 x (/.f64 z y))
	31.3%	(/.f64 x z)
	65.1%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 y #s(literal 1 binary64)))))
✓	63.5%	(-.f64 (/.f64 x z) x)
	63.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) x)
▶	64.4%	(*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)))
	65.1%	(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) z))
▶	37.5%	(*.f64 x (/.f64 y z))
	31.2%	(*.f64 x (/.f64 #s(literal 1 binary64) z))
✓	70.3%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
▶	35.1%	(neg.f64 x)

Compiler

Compiled 300 to 208 computations (30.7% saved)

localize1.3s (9.5%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(/.f64 (*.f64 x (-.f64 y z)) z)
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(+.f64 y (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z))))
✓	cost-diff	128	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))) z)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	85.1%	(/.f64 (*.f64 x (-.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	95.6%	(*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.6%	(*.f64 x (/.f64 y z))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z))))
✓	accuracy	88.8%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 #s(literal 1 binary64) z)))) z)

Rules

9120×	`accelerator-lowering-fma.f32`
9120×	`accelerator-lowering-fma.f64`
3396×	`-lowering-.f32`
3396×	`-lowering-.f64`
1596×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	48	73
2	106	73
3	202	73
4	423	73
5	864	73
6	1637	73
7	2666	73
8	3977	73
9	5337	73
10	6045	73
11	6297	73
12	6407	73
13	6458	73
14	6581	73
15	7828	73
0	8070	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 92 to 41 computations (55.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.8% of total)

ival-sub: 13.0ms (26.5% of total)

ival-mult: 8.0ms (16.3% of total)

ival-add: 7.0ms (14.3% of total)

const: 2.0ms (4.1% of total)

ival-neg: 1.0ms (2% of total)

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

series66.0ms (0.5%)

Counts

13 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
43.0ms	y	@	0	(* x (/ y z))
1.0ms	x	@	0	(/ (* x (- y z)) z)
1.0ms	y	@	inf	(/ (* x (- y z)) z)
0.0ms	z	@	-inf	(/ (* x (- y z)) z)
0.0ms	x	@	0	(* x (/ y z))

rewrite713.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6290×	`accelerator-lowering-fma.f32`
6290×	`accelerator-lowering-fma.f64`
4608×	`-lowering-.f32`
4608×	`-lowering-.f64`
4128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	122	66
2	976	66
0	9003	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1088

Calls

Call 1

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

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

simplify669.0ms (5%)

Algorithm

1×	egg-herbie

Rules

11582×	`accelerator-lowering-fma.f32`
11582×	`accelerator-lowering-fma.f64`
3886×	`-lowering-.f32`
3886×	`-lowering-.f64`
2898×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	2195
1	761	2163
2	2294	2119
3	7448	2116
0	8023	2010

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

eval279.0ms (2.1%)

Compiler: Compiled 22833 to 11284 computations (50.6% saved)

prune430.0ms (3.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1444	4	1448
Fresh	3	6	9
Picked	3	2	5
Done	1	2	3
Total	1451	14	1465

Accuracy

100.0%

Counts

1465 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
▶	64.4%	(/.f64 (-.f64 y z) (/.f64 z x))
	40.2%	(/.f64 (*.f64 x y) z)
▶	40.9%	(/.f64 y (/.f64 z x))
	63.4%	(/.f64 x (/.f64 z (+.f64 y #s(literal 1 binary64))))
	38.4%	(/.f64 x (/.f64 z y))
▶	31.3%	(/.f64 x z)
✓	63.5%	(-.f64 (/.f64 x z) x)
▶	63.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) x)
✓	64.4%	(*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)))
▶	41.6%	(*.f64 (/.f64 x z) y)
	31.2%	(*.f64 x (/.f64 #s(literal 1 binary64) z))
✓	70.3%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	35.1%	(neg.f64 x)

Compiler

Compiled 205 to 137 computations (33.2% saved)

localize381.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(/.f64 (-.f64 y z) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) x)
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	90.6%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	90.7%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	83.2%	(/.f64 (-.f64 y z) (/.f64 z x))

Rules

4464×	`accelerator-lowering-fma.f32`
4464×	`accelerator-lowering-fma.f64`
2950×	`-lowering-.f32`
2950×	`-lowering-.f64`
2306×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	29	40
2	50	38
3	98	38
4	300	38
5	1074	38
6	4092	38
7	6837	38
0	8181	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

44.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

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

ival-div: 11.0ms (64.9% of total)

ival-sub: 3.0ms (17.7% of total)

ival-mult: 2.0ms (11.8% of total)

const: 1.0ms (5.9% of total)

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

series12.0ms (0.1%)

Counts

8 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/ z x)
0.0ms	z	@	-inf	(/ z x)
0.0ms	x	@	-inf	(/ z x)
0.0ms	z	@	0	(/ z x)
0.0ms	x	@	0	(/ z x)

rewrite677.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5666×	`accelerator-lowering-fma.f32`
5666×	`accelerator-lowering-fma.f64`
4560×	`-lowering-.f32`
4560×	`-lowering-.f64`
3718×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	79	34
2	691	34
3	7980	34
0	8707	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 777

Calls

Call 1

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

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

simplify483.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4880×	`accelerator-lowering-fma.f32`
4880×	`accelerator-lowering-fma.f64`
3092×	`-lowering-.f32`
3092×	`-lowering-.f64`
2064×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1075
1	140	1024
2	369	1024
3	897	982
4	1923	982
5	3434	982
6	4351	982
7	4689	982
8	4900	982
9	5158	982
10	7372	982
11	7994	982
0	8060	982

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval224.0ms (1.7%)

Compiler: Compiled 17769 to 6062 computations (65.9% saved)

prune183.0ms (1.4%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1206	2	1208
Fresh	2	3	5
Picked	0	5	5
Done	0	4	4
Total	1208	14	1222

Accuracy

100.0%

Counts

1222 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	64.4%	(/.f64 (-.f64 y z) (/.f64 z x))
	40.2%	(/.f64 (*.f64 y x) z)
✓	40.9%	(/.f64 y (/.f64 z x))
	63.4%	(/.f64 x (/.f64 z (+.f64 y #s(literal 1 binary64))))
	38.4%	(/.f64 x (/.f64 z y))
✓	31.3%	(/.f64 x z)
✓	63.5%	(-.f64 (/.f64 x z) x)
✓	63.4%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z x)) x)
✓	64.4%	(*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64)))
✓	41.6%	(*.f64 (/.f64 x z) y)
	31.2%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	70.3%	(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
✓	35.1%	(neg.f64 x)

Compiler

Compiled 325 to 185 computations (43.1% saved)

regimes61.0ms (0.5%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	x
17.0ms	z
14.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
9.0ms	y

Results

Accuracy	Segments	Branch
99.8%	2	`x`
96.7%	1	`y`
99.9%	3	`z`
99.1%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes215.0ms (1.6%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
99.9%	3	`z`
96.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes41.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes39.0ms (0.3%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes66.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
19.0ms	z
16.0ms	y

Results

Accuracy	Segments	Branch
82.7%	7	`x`
94.9%	3	`y`
99.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
94.9%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	z
13.0ms	y

Results

Accuracy	Segments	Branch
94.9%	3	`y`
83.7%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.3%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
11.0ms	z
10.0ms	x

Results

Accuracy	Segments	Branch
50.7%	8	`x`
71.4%	7	`z`
65.8%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
69.6%	5	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(neg.f64 x)
(/.f64 x z)
(neg.f64 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

Outputs
(neg.f64 x)

Calls

3 calls:

4.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
35.1%	1	`x`
35.1%	1	`y`
35.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	2.1340879360071407e-116	5.227231972581611e-114

Results

3.0ms

48×

valid

Compiler

Compiled 96 to 67 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.2207640490115734e-35	3.966545903143618e-35
7.0ms	-3.828996882043935e-12	-1.1534489624318365e-15

Results

8.0ms

128×

valid

Compiler

Compiled 226 to 157 computations (30.5% saved)

Precisions

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

ival-sub: 1.0ms (27.7% of total)

ival-div: 1.0ms (27.7% of total)

ival-add: 1.0ms (27.7% of total)

ival-mult: 1.0ms (27.7% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	86097959.62969619	6585344319.988047
12.0ms	-3.828996882043935e-12	-1.1534489624318365e-15

Results

22.0ms

240×

valid

Compiler

Compiled 394 to 284 computations (27.9% saved)

Precisions

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

ival-div: 10.0ms (67.6% of total)

ival-sub: 2.0ms (13.5% of total)

ival-mult: 2.0ms (13.5% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.5178690069429732e-55	5.0176847668260334e-46
12.0ms	-3.828996882043935e-12	-1.1534489624318365e-15

Results

14.0ms

240×

valid

Compiler

Compiled 378 to 283 computations (25.1% saved)

Precisions

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

ival-sub: 2.0ms (29.9% of total)

ival-div: 2.0ms (29.9% of total)

ival-mult: 2.0ms (29.9% of total)

ival-add: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.764119923732378e-22	1.0053443867613228e-20
12.0ms	-24.23085776459211	-0.00048134486218651904

Results

13.0ms

224×

valid

Compiler

Compiled 326 to 237 computations (27.3% saved)

Precisions

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

ival-sub: 2.0ms (31.3% of total)

ival-div: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-add: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.764119923732378e-22	1.0053443867613228e-20
12.0ms	-24.23085776459211	-0.00048134486218651904

Results

14.0ms

224×

valid

Compiler

Compiled 326 to 237 computations (27.3% saved)

Precisions

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

ival-sub: 3.0ms (40% of total)

ival-div: 2.0ms (26.6% of total)

ival-mult: 2.0ms (26.6% of total)

ival-add: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.931446491787333e-16	9.998916967867483e-13
17.0ms	-871098611522637.4	-2008.5705209445255

Results

17.0ms

288×

valid

Compiler

Compiled 378 to 265 computations (29.9% saved)

Precisions

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

ival-sub: 2.0ms (25% of total)

ival-div: 2.0ms (25% of total)

ival-mult: 2.0ms (25% of total)

ival-add: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.897116115828806e+28	2.0237557063284377e+29
28.0ms	-1.9474376828994557e+48	-1.069372738313418e+47

Results

29.0ms

192×

valid

Compiler

Compiled 234 to 157 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 20.0ms (84% of total)

ival-mult: 2.0ms (8.4% of total)

ival-div: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	5.897116115828806e+28	2.0237557063284377e+29
22.0ms	-871098611522637.4	-2008.5705209445255

Results

21.0ms

240×

valid

Compiler

Compiled 288 to 193 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 9.0ms (64.1% of total)

ival-div: 2.0ms (14.3% of total)

ival-mult: 2.0ms (14.3% of total)

ival-sub: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

bsearch87.0ms (0.7%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	199899654930.42184	31294146603009237000.0
11.0ms	1.8975538536559546e-74	1.7834980421726198e-70
14.0ms	4.324884607850699e-206	1.2091805228291036e-200
13.0ms	7.252119274912258e-266	8.332879113477695e-259
10.0ms	-1.4174550591705423e-58	-3.577607035070086e-60
13.0ms	-3.9773095678687285e+41	-1.4168615333812979e+38

Results

55.0ms

800×

valid

Compiler

Compiled 801 to 563 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (40.4% of total)

ival-div: 7.0ms (23.5% of total)

ival-sub: 5.0ms (16.8% of total)

ival-add: 4.0ms (13.5% of total)

const: 1.0ms (3.4% of total)

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

bsearch62.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	199899654930.42184	31294146603009237000.0
15.0ms	1.8975538536559546e-74	1.7834980421726198e-70
10.0ms	-1.4174550591705423e-58	-3.577607035070086e-60
14.0ms	-3.9773095678687285e+41	-1.4168615333812979e+38

Results

33.0ms

512×

valid

Compiler

Compiled 513 to 365 computations (28.8% saved)

Precisions

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

ival-sub: 7.0ms (39.9% of total)

ival-div: 4.0ms (22.8% of total)

ival-mult: 4.0ms (22.8% of total)

ival-add: 3.0ms (17.1% of total)

const: 1.0ms (5.7% of total)

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

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	199899654930.42184	31294146603009237000.0
14.0ms	-24.23085776459211	-0.00048134486218651904

Results

19.0ms

272×

valid

Compiler

Compiled 239 to 183 computations (23.4% saved)

Precisions

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

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

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

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

ival-add: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

soundness6.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 356 to 175 computations (50.8% saved)

preprocess199.0ms (1.5%)

Remove: (negabs x)
Compiler: Compiled 968 to 512 computations (47.1% saved)

analyze81.0ms (0.6%)

sample902.0ms (6.8%)

preprocess812.0ms (6.1%)

explain113.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize743.0ms (5.6%)

series24.0ms (0.2%)

rewrite609.0ms (4.6%)

simplify792.0ms (6%)

eval136.0ms (1%)

prune107.0ms (0.8%)

localize590.0ms (4.4%)

series78.0ms (0.6%)

rewrite517.0ms (3.9%)

simplify762.0ms (5.7%)

eval208.0ms (1.6%)

prune235.0ms (1.8%)

localize1.3s (9.5%)

series66.0ms (0.5%)

rewrite713.0ms (5.4%)

simplify669.0ms (5%)

eval279.0ms (2.1%)

prune430.0ms (3.2%)

localize381.0ms (2.9%)

series12.0ms (0.1%)

rewrite677.0ms (5.1%)

simplify483.0ms (3.6%)

eval224.0ms (1.7%)

prune183.0ms (1.4%)

regimes61.0ms (0.5%)

regimes215.0ms (1.6%)

regimes41.0ms (0.3%)

regimes39.0ms (0.3%)

regimes66.0ms (0.5%)

regimes15.0ms (0.1%)

regimes29.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes41.0ms (0.3%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

bsearch5.0ms (0%)

bsearch14.0ms (0.1%)

bsearch32.0ms (0.2%)

bsearch42.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch37.0ms (0.3%)

bsearch31.0ms (0.2%)

bsearch87.0ms (0.7%)

bsearch62.0ms (0.5%)

bsearch30.0ms (0.2%)

soundness6.0ms (0%)

preprocess199.0ms (1.5%)

end0.0ms (0%)

Profiling