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

analyze1.9s (17.5%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-add: 1.9s (99.4% of total)

ival-mult: 5.0ms (0.3% of total)

ival-sub: 4.0ms (0.2% of total)

ival-div: 2.0ms (0.1% of total)

const: 0.0ms (0% of total)

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

sample2.0s (18.2%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-div: 1.0s (82.1% of total)

ival-mult: 107.0ms (8.7% of total)

ival-sub: 60.0ms (4.9% of total)

ival-add: 43.0ms (3.5% of total)

const: 8.0ms (0.6% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess186.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

2576×	`sum3-define`
2006×	`fnmsub-define`
1996×	`sum4-define`
1958×	`sum5-define`
1906×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	103
1	84	87
2	222	81
3	987	80
4	4149	80
0	7	9
1	11	8
2	24	8
3	54	8
4	109	8
5	226	8
6	447	8
7	1001	8
8	3368	8
9	7697	8
0	8504	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x (* y (- z x))) z)
(/ (fma y (- z x) x) z)
(/ (+ (neg x) (* y (- z (neg x)))) z)
(/ (fmsub y (+ x z) x) z)
(/ (+ x (* (neg y) (- z x))) z)
(/ (fma y (- x z) x) z)
(/ (+ x (* y (- (neg z) x))) (neg z))
(/ (fmsub y (+ x z) x) z)
(neg (/ (+ (neg x) (* y (- z (neg x)))) z))
(/ (fnmadd y (+ x z) x) z)
(neg (/ (+ x (* (neg y) (- z x))) z))
(/ (fnmsub y (- x z) x) z)
(neg (/ (+ x (* y (- (neg z) x))) (neg z)))
(/ (fnmadd y (+ x z) x) z)
(/ (+ y (* x (- z y))) z)
(/ (fma x (- z y) y) z)
(/ (+ z (* y (- x z))) x)
(/ (fma y (- x z) z) x)
(/ (+ x (* z (- y x))) y)
(/ (fma z (- y x) x) y)

explain81.0ms (0.7%)

FPErrors

Click to see full error table

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

Results

39.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

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

ival-sub: 6.0ms (34.5% of total)

ival-div: 4.0ms (23% of total)

ival-mult: 4.0ms (23% of total)

ival-add: 3.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify200.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2360×	`fnmsub-define`
2356×	`fmsub-define`
2000×	`fmm-def`
1792×	`fma-lowering-fma.f32`
1792×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	24	50
2	49	50
3	125	49
4	279	49
5	635	49
6	1376	49
7	3165	49
8	5972	49
9	7632	49
0	8010	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize49.0ms (0.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	87.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	97.2%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Results

36.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (36.8% of total)

ival-mult: 6.0ms (31.6% of total)

ival-sub: 3.0ms (15.8% of total)

ival-add: 2.0ms (10.5% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Counts

8 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/ (+ x (* y (- z x))) z)
2.0ms	x	@	-inf	(/ (+ x (* y (- z x))) z)
1.0ms	z	@	-inf	(/ (+ x (* y (- z x))) z)
1.0ms	z	@	inf	(/ (+ x (* y (- z x))) z)
1.0ms	z	@	inf	(+ y (* (- 1 y) (/ x z)))

rewrite403.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5220×	`-lowering-.f32`
5220×	`-lowering-.f64`
3904×	`/-lowering-/.f32`
3904×	`/-lowering-/.f64`
1874×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	80	43
2	745	43
0	8790	43

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 444

Calls

Call 1

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

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

simplify190.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2342×	`-lowering-.f32`
2342×	`-lowering-.f64`
1346×	`fma-define`
980×	`--lowering--.f32`
980×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	142	1457
1	478	1249
2	1576	1249
3	5337	1249
0	8013	1249

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

Outputs
(/ x z)
(/.f64 x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
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eval76.0ms (0.7%)

Compiler: Compiled 14280 to 1562 computations (89.1% saved)

prune71.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	674	10	684
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	676	10	686

Accuracy

100.0%

Counts

686 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.2%	(/.f64 (+.f64 x (*.f64 z y)) z)
	32.5%	(/.f64 (*.f64 z y) z)
▶	54.3%	(/.f64 (*.f64 y (-.f64 z x)) z)
	57.2%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	37.1%	(/.f64 x z)
▶	99.8%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
▶	76.3%	(+.f64 y (/.f64 x z))
	96.5%	(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
▶	67.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	41.6%	y

Compiler

Compiled 180 to 118 computations (34.4% saved)

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2156×	`sum5-define`
1504×	`sum4-define`
1404×	`sum3-define`
1382×	`fmsub-define`
1198×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	34	74
2	79	74
3	171	72
4	430	71
5	1156	71
6	3182	71
7	7971	71
0	8104	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize80.0ms (0.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	82.4%	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	97.7%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
✓	accuracy	96.4%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Results

62.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

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

ival-div: 7.0ms (35% of total)

ival-sub: 6.0ms (30% of total)

ival-mult: 4.0ms (20% of total)

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

const: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

rewrite490.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4290×	`/-lowering-/.f32`
4290×	`/-lowering-/.f64`
4164×	`-lowering-.f32`
4164×	`-lowering-.f64`
2394×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	107	56
2	1035	56
0	8632	56

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 552

Calls

Call 1

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

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

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2340×	`-lowering-.f32`
2340×	`-lowering-.f64`
1840×	`fmsub-define`
1470×	`fmm-def`
1366×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1692
1	374	1579
2	1127	1540
3	3542	1540
0	8115	1540

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval181.0ms (1.7%)

Compiler: Compiled 16667 to 2038 computations (87.8% saved)

prune161.0ms (1.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	933	1	934
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	935	9	944

Accuracy

100.0%

Counts

944 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.2%	(/.f64 (+.f64 x (*.f64 z y)) z)
▶	32.5%	(/.f64 (*.f64 z y) z)
▶	57.2%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	37.1%	(/.f64 x z)
✓	99.8%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
✓	76.3%	(+.f64 y (/.f64 x z))
▶	58.4%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	67.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	41.6%	y

Compiler

Compiled 122 to 79 computations (35.2% saved)

simplify285.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(*.f64 (-.f64 z x) (/.f64 y z))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	256	(/.f64 (*.f64 z y) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(+.f64 x (*.f64 z y))
✓	cost-diff	0	(/.f64 (+.f64 x (*.f64 z y)) z)

Rules

2120×	`-lowering-.f32`
2120×	`-lowering-.f64`
1400×	`/-lowering-/.f32`
1400×	`/-lowering-/.f64`
1376×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	30	62
2	59	62
3	120	59
4	284	59
5	691	59
6	2363	59
0	8095	59

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize186.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	95.5%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	87.3%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	76.1%	(/.f64 (*.f64 z y) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	87.6%	(/.f64 (+.f64 x (*.f64 z y)) z)

Results

160.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 102.0ms (88.3% of total)

ival-div: 9.0ms (7.8% of total)

ival-sub: 3.0ms (2.6% of total)

ival-add: 1.0ms (0.9% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

11 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite399.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4402×	`-lowering-.f32`
4402×	`-lowering-.f64`
3566×	`/-lowering-/.f32`
3566×	`/-lowering-/.f64`
1330×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	90	49
2	701	44
0	8008	44

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 644

Calls

Call 1

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

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

simplify236.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2124×	`-lowering-.f32`
2124×	`-lowering-.f64`
1782×	`sum3-define`
1506×	`fmsub-define`
1216×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1328
1	329	1154
2	946	1124
3	2803	1124
4	6827	1124
0	8166	1124

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval111.0ms (1%)

Compiler: Compiled 15921 to 1695 computations (89.4% saved)

prune139.0ms (1.3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	971	6	977
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	973	13	986

Accuracy

100.0%

Counts

986 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(/.f64 (-.f64 z x) (/.f64 z y))
▶	59.9%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓	67.2%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	32.5%	(/.f64 (*.f64 z y) z)
✓	37.1%	(/.f64 x z)
▶	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
▶	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
✓	76.3%	(+.f64 y (/.f64 x z))
▶	38.3%	(*.f64 (/.f64 y z) z)
▶	37.0%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	67.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	41.6%	y

Compiler

Compiled 162 to 110 computations (32.1% saved)

simplify208.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 11 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	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	256	(*.f64 (/.f64 y z) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Rules

2690×	`-lowering-.f32`
2690×	`-lowering-.f64`
1476×	`/-lowering-/.f32`
1476×	`/-lowering-/.f64`
1346×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	34	45
2	74	45
3	173	45
4	534	45
5	2327	44
6	4657	44
7	7938	44
0	8075	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize76.0ms (0.7%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	78.4%	(*.f64 (/.f64 y z) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	96.4%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Results

44.0ms

256×

valid

Compiler

Compiled 63 to 15 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 14.0ms (67.8% of total)

ival-mult: 5.0ms (24.2% of total)

ival-sub: 2.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite296.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
2522×	`/-lowering-/.f32`
2522×	`/-lowering-/.f64`
1758×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	87	36
2	595	28
3	5619	28
0	8243	28

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 628

Calls

Call 1

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

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

simplify188.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1842×	`fnmadd-define`
1456×	`-lowering-.f32`
1456×	`-lowering-.f64`
1224×	`fmsub-define`
1186×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	749
1	92	683
2	261	617
3	606	617
4	2209	617
5	7663	617
0	8215	617

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval95.0ms (0.9%)

Compiler: Compiled 10021 to 1263 computations (87.4% saved)

prune113.0ms (1%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	888	0	888
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	888	13	901

Accuracy

100.0%

Counts

901 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(/.f64 (-.f64 z x) (/.f64 z y))
✓	59.9%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓	67.2%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	32.5%	(/.f64 (*.f64 z y) z)
✓	37.1%	(/.f64 x z)
✓	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	41.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
✓	76.3%	(+.f64 y (/.f64 x z))
✓	38.3%	(*.f64 (/.f64 y z) z)
✓	37.0%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	67.8%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	41.6%	y

Compiler

Compiled 232 to 112 computations (51.7% saved)

regimes63.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	z
7.0ms	x
6.0ms	y
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
96.5%	1	`x`
98.4%	2	`y`
96.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
5.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
90.6%	3	`x`
87.0%	3	`z`
99.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
76.3%	1	`z`
76.3%	1	`x`
78.6%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
59.7%	3	`x`
58.7%	3	`z`
62.0%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

Outputs
y
(/.f64 x z)
y

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
41.6%	1	`z`
41.6%	1	`x`
41.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	-1.2448057917008546e+49	-3.954563600559387e+47

Results

1.0ms

16×

valid

Compiler

Compiled 42 to 29 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00011235643891138081	0.0034547459010865395
15.0ms	-3.65183547742981e+24	-809179828900.2157

Results

16.0ms

272×

valid

Compiler

Compiled 358 to 250 computations (30.2% saved)

Precisions

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

ival-div: 3.0ms (36.2% of total)

ival-sub: 2.0ms (24.1% of total)

ival-mult: 2.0ms (24.1% of total)

ival-add: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.860669065773871e+171	1.918850064804354e+174

Results

9.0ms

128×

valid

Compiler

Compiled 162 to 108 computations (33.3% saved)

Precisions

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

ival-add: 2.0ms (37.4% of total)

ival-sub: 1.0ms (18.7% of total)

ival-div: 1.0ms (18.7% of total)

ival-mult: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00011235643891138081	0.0034547459010865395
11.0ms	-2.0080849582804665e-13	-1.3490495526934099e-14

Results

14.0ms

208×

valid

Compiler

Compiled 202 to 143 computations (29.2% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-mult: 2.0ms (34.3% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3605141950059654e-80	9.831335899688119e-76
8.0ms	-2.0080849582804665e-13	-1.3490495526934099e-14

Results

13.0ms

224×

valid

Compiler

Compiled 186 to 138 computations (25.8% saved)

Precisions

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

ival-div: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
16×	`*-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	95
1	58	95
2	69	95
3	77	95
4	83	95
5	85	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (+.f64 y (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -820000000000 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 7839866231326559/2305843009213693952 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 15499999999999999393831667749222265078453509548602830022211420639281653077705151654503358645033955206207747414011059198184355970936083687475640444707088104397214498947072000 binary64)) (+.f64 y (/.f64 x z)) (*.f64 (/.f64 y z) z))
(if (<=.f64 y #s(literal -2535301200456459/79228162514264337593543950336 binary64)) y (if (<=.f64 y #s(literal 4242751136953197/36893488147419103232 binary64)) (/.f64 x z) (*.f64 (/.f64 y z) z)))
(if (<=.f64 y #s(literal -2535301200456459/79228162514264337593543950336 binary64)) y (if (<=.f64 y #s(literal 146666590296083/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (/.f64 x z) y))
y

Outputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -9999999999999999464902769475481793196872414789632 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (+.f64 y (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -820000000000 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 7839866231326559/2305843009213693952 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 15499999999999999393831667749222265078453509548602830022211420639281653077705151654503358645033955206207747414011059198184355970936083687475640444707088104397214498947072000 binary64)) (+.f64 y (/.f64 x z)) (*.f64 (/.f64 y z) z))
(if (<=.f64 y #s(literal 15499999999999999393831667749222265078453509548602830022211420639281653077705151654503358645033955206207747414011059198184355970936083687475640444707088104397214498947072000 binary64)) (+.f64 y (/.f64 x z)) (*.f64 z (/.f64 y z)))
(if (<=.f64 y #s(literal -2535301200456459/79228162514264337593543950336 binary64)) y (if (<=.f64 y #s(literal 4242751136953197/36893488147419103232 binary64)) (/.f64 x z) (*.f64 (/.f64 y z) z)))
(if (<=.f64 y #s(literal -2535301200456459/79228162514264337593543950336 binary64)) y (if (<=.f64 y #s(literal 4242751136953197/36893488147419103232 binary64)) (/.f64 x z) (*.f64 z (/.f64 y z))))
(if (<=.f64 y #s(literal -2535301200456459/79228162514264337593543950336 binary64)) y (if (<=.f64 y #s(literal 146666590296083/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) (/.f64 x z) y))
y

soundness1.9s (17.2%)

Rules

5220×	`-lowering-.f32`
5220×	`-lowering-.f64`
4402×	`-lowering-.f32`
4402×	`-lowering-.f64`
3904×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	90	49
2	701	44
0	8008	44
0	7	9
1	11	8
2	24	8
3	54	8
4	109	8
5	226	8
6	447	8
7	1001	8
8	3368	8
9	7697	8
0	8504	8
0	12	46
1	80	43
2	745	43
0	8790	43
0	142	1457
1	478	1249
2	1576	1249
3	5337	1249
0	8013	1249

Stop Event

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

Compiler

Compiled 241 to 140 computations (41.9% saved)

preprocess51.0ms (0.5%)

Compiler: Compiled 260 to 106 computations (59.2% saved)

analyze1.9s (17.5%)

sample2.0s (18.2%)

preprocess186.0ms (1.7%)

explain81.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify200.0ms (1.8%)

localize49.0ms (0.4%)

series20.0ms (0.2%)

rewrite403.0ms (3.7%)

simplify190.0ms (1.7%)

eval76.0ms (0.7%)

prune71.0ms (0.7%)

simplify120.0ms (1.1%)

localize80.0ms (0.7%)

series15.0ms (0.1%)

rewrite490.0ms (4.5%)

simplify176.0ms (1.6%)

eval181.0ms (1.7%)

prune161.0ms (1.5%)

simplify285.0ms (2.6%)

localize186.0ms (1.7%)

series9.0ms (0.1%)

rewrite399.0ms (3.7%)

simplify236.0ms (2.2%)

eval111.0ms (1%)

prune139.0ms (1.3%)

simplify208.0ms (1.9%)

localize76.0ms (0.7%)

series3.0ms (0%)

rewrite296.0ms (2.7%)

simplify188.0ms (1.7%)

eval95.0ms (0.9%)

prune113.0ms (1%)

regimes63.0ms (0.6%)

regimes17.0ms (0.2%)

regimes25.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch27.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.9s (17.2%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling