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

analyze65.0ms (0.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

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

ival-mult: 5.0ms (32.6% of total)

ival-sub: 4.0ms (26.1% of total)

ival-div: 3.0ms (19.6% of total)

ival-add: 3.0ms (19.6% of total)

const: 0.0ms (0% of total)

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

sample1.2s (16.9%)

Results

945.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 481.0ms

ival-div: 237.0ms (49.2% of total)

ival-mult: 128.0ms (26.6% of total)

ival-sub: 57.0ms (11.8% of total)

ival-add: 47.0ms (9.8% of total)

const: 8.0ms (1.7% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess201.0ms (2.9%)

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	8506	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)

explain104.0ms (1.5%)

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

77.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

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

ival-sub: 6.0ms (30.5% of total)

ival-mult: 6.0ms (30.5% of total)

ival-div: 4.0ms (20.3% of total)

ival-add: 3.0ms (15.3% of total)

const: 1.0ms (5.1% 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
▶	87.5%	(/.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)

simplify188.0ms (2.7%)

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	8012	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

localize60.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	100.0%	(+.f64 x (*.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	96.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Results

47.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-div: 4.0ms (29% of total)

ival-mult: 4.0ms (29% of total)

ival-sub: 3.0ms (21.7% of total)

ival-add: 3.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.3%)

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
3.0ms	z	@	inf	(* (- 1 y) (/ x z))
2.0ms	x	@	-inf	(/ (+ x (* y (- z x))) z)
1.0ms	z	@	-inf	(/ (+ x (* y (- z x))) z)
1.0ms	z	@	inf	(+ y (* (- 1 y) (/ x z)))
1.0ms	x	@	0	(+ y (* (- 1 y) (/ x z)))

rewrite346.0ms (4.9%)

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	750	43
0	8823	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 #s(literal -1 binary64) (.f64 y (/.f64 x 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 z x)) (/.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) 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 (+.f64 x z) (+.f64 x (-.f64 #s(literal 0 binary64) z)))) (-.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 (+.f64 x z) (+.f64 x (-.f64 #s(literal 0 binary64) z))) 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 (+.f64 x z) (+.f64 x (-.f64 #s(literal 0 binary64) z))) (-.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 (+.f64 x z) (+.f64 x (-.f64 #s(literal 0 binary64) z)))) (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 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 x (+.f64 x z))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (-.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 z (.f64 z z)) (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (+.f64 (.f64 x x) (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (+.f64 (.f64 z z) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 x (+.f64 x z)))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 (-.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 (+.f64 x z) (+.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))

simplify164.0ms (2.3%)

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)
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eval100.0ms (1.4%)

Compiler: Compiled 14280 to 1559 computations (89.1% saved)

prune68.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	678	6	684
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	678	8	686

Accuracy

100.0%

Counts

686 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	31.4%	(/.f64 (*.f64 z y) z)
	58.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	39.4%	(/.f64 x z)
▶	77.5%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	66.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	40.4%	y

Compiler

Compiled 116 to 77 computations (33.6% saved)

simplify170.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2598×	`-lowering-.f32`
2598×	`-lowering-.f64`
1610×	`fnmadd-define`
1186×	`/-lowering-/.f32`
1186×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	19	42
2	36	42
3	68	41
4	259	41
5	1065	41
6	4286	41
0	8114	41

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize61.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	95.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	76.9%	(/.f64 (*.f64 z y) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (/.f64 x z))

Results

48.0ms

256×

valid

Compiler

Compiled 50 to 11 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.8% of total)

ival-mult: 4.0ms (31.8% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

6 → 168

Calls

Call 1

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

Outputs
#<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>
#<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 (- 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)))>

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* y (- 1 (/ x z)))
1.0ms	y	@	0	(* y (- 1 (/ x z)))
0.0ms	y	@	-inf	(/ (* z y) z)
0.0ms	y	@	inf	(* y (- 1 (/ x z)))
0.0ms	z	@	inf	(* z y)

rewrite293.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2816×	`-lowering-.f32`
2816×	`-lowering-.f64`
2560×	`/-lowering-/.f32`
2560×	`/-lowering-/.f64`
1496×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	54	28
2	425	24
3	7485	24
0	8093	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 214

Calls

Call 1

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

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

simplify198.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2192×	`fma-lowering-fma.f32`
2192×	`fma-lowering-fma.f64`
2112×	`fnmsub-define`
1774×	`fmm-def`
1452×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	662
1	151	659
2	393	629
3	1005	629
4	2801	629
5	6976	629
0	8252	629

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(/ 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
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 (- 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)))

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

eval51.0ms (0.7%)

Compiler: Compiled 6852 to 634 computations (90.7% saved)

prune58.0ms (0.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	467	5	472
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	467	13	480

Accuracy

100.0%

Counts

480 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	31.4%	(/.f64 (*.f64 z y) z)
▶	58.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	37.8%	(/.f64 z (/.f64 z y))
✓	39.4%	(/.f64 x z)
▶	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
▶	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	77.5%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	38.0%	(*.f64 (/.f64 y z) z)
▶	39.3%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	66.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.4%	y

Compiler

Compiled 160 to 109 computations (31.9% saved)

simplify247.0ms (3.5%)

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 #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)

Rules

2008×	`--lowering--.f32`
2008×	`--lowering--.f64`
1896×	`-lowering-.f32`
1896×	`-lowering-.f64`
1880×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	34	47
2	68	47
3	163	45
4	443	45
5	1538	45
6	3117	45
7	5804	45
0	8293	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize112.0ms (1.6%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	80.4%	(*.f64 (/.f64 y z) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	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)

Results

93.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 13.0ms (60.3% of total)

ival-mult: 6.0ms (27.8% of total)

ival-sub: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

11 → 228

Calls

Call 1

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

Outputs
#<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))))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ 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)>
#<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)>

Calls

57 calls:

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

rewrite284.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

2746×	`fma-lowering-fma.f32`
2746×	`fma-lowering-fma.f64`
2014×	`-lowering-.f32`
2014×	`-lowering-.f64`
1826×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	87	41
2	501	33
3	4494	31
0	8121	31

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 596

Calls

Call 1

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

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

simplify153.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2088×	`-lowering-.f32`
2088×	`-lowering-.f64`
1858×	`fnmsub-define`
1798×	`fmsub-define`
1578×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	764
1	127	764
2	351	710
3	864	710
4	3627	710
0	8335	710

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ (* 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))))
(/ 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)
(/ 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)

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

eval135.0ms (1.9%)

Compiler: Compiled 8307 to 1154 computations (86.1% saved)

prune109.0ms (1.6%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	822	2	824
Fresh	0	1	1
Picked	0	5	5
Done	2	5	7
Total	824	13	837

Accuracy

100.0%

Counts

837 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.0%	(/.f64 (-.f64 x (*.f64 y x)) z)
✓	31.4%	(/.f64 (*.f64 z y) z)
✓	58.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	37.8%	(/.f64 z (/.f64 z y))
✓	39.4%	(/.f64 x z)
✓	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	77.5%	(+.f64 y (/.f64 x z))
✓	38.0%	(*.f64 (/.f64 y z) z)
▶	60.7%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	39.3%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	66.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.4%	y

Compiler

Compiled 106 to 72 computations (32.1% saved)

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2130×	`-lowering-.f32`
2130×	`-lowering-.f64`
1520×	`/-lowering-/.f32`
1520×	`/-lowering-/.f64`
1420×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	28	41
2	64	38
3	119	38
4	348	38
5	1322	38
6	4684	38
0	8035	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize63.0ms (0.9%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 x (*.f64 y x))
✓	accuracy	95.5%	(/.f64 (-.f64 x (*.f64 y x)) z)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	80.2%	(/.f64 z (/.f64 z y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	96.8%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))

Results

48.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-div: 9.0ms (49.3% of total)

ival-mult: 5.0ms (27.4% of total)

ival-sub: 4.0ms (21.9% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

8 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite318.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3996×	`-lowering-.f32`
3996×	`-lowering-.f64`
3310×	`/-lowering-/.f32`
3310×	`/-lowering-/.f64`
1270×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	76	32
2	615	29
3	7592	29
0	8160	29

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 821

Calls

Call 1

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

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

simplify225.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2780×	`fma-lowering-fma.f32`
2780×	`fma-lowering-fma.f64`
2568×	`fmm-def`
1736×	`-lowering-.f32`
1736×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	878
1	136	791
2	341	791
3	1006	791
4	3955	791
5	6536	791
6	7231	791
7	7528	791
8	7641	791
9	7711	791
0	9014	791

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval126.0ms (1.8%)

Compiler: Compiled 18956 to 1438 computations (92.4% saved)

prune126.0ms (1.8%)

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	1025	0	1025
Fresh	0	0	0
Picked	0	3	3
Done	0	10	10
Total	1025	13	1038

Accuracy

100.0%

Counts

1038 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.0%	(/.f64 (-.f64 x (*.f64 y x)) z)
✓	31.4%	(/.f64 (*.f64 z y) z)
✓	58.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	37.8%	(/.f64 z (/.f64 z y))
✓	39.4%	(/.f64 x z)
✓	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	77.5%	(+.f64 y (/.f64 x z))
✓	38.0%	(*.f64 (/.f64 y z) z)
✓	60.7%	(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))
✓	39.3%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	66.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.4%	y

Compiler

Compiled 194 to 105 computations (45.9% saved)

regimes22.0ms (0.3%)

Counts

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

7.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(/.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)

regimes155.0ms (2.2%)

Counts

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

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:

145.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
87.7%	3	`x`
98.2%	3	`y`
86.9%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts

9 → 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 z (/.f64 z y))
(/.f64 (*.f64 z y) z)

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
77.5%	1	`z`
77.5%	1	`x`
77.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (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
(*.f64 (/.f64 y z) z)
(/.f64 x z)
(*.f64 (/.f64 y z) z)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
58.6%	3	`z`
59.8%	3	`x`
62.4%	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
61.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

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
40.4%	1	`z`
40.4%	1	`x`
40.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2015304322453043e-5	9.555958517301477
30.0ms	-6.626527595090707e+31	-2.5435270146201436e+28

Results

18.0ms

272×

valid

Compiler

Compiled 358 to 250 computations (30.2% saved)

Precisions

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

ival-sub: 2.0ms (25.9% of total)

ival-div: 2.0ms (25.9% of total)

ival-mult: 2.0ms (25.9% of total)

ival-add: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.793248546651688e-58	7.516066004090711e-54
9.0ms	-4.3306050229364024e-16	-1.002343588246276e-16

Results

18.0ms

224×

valid

Compiler

Compiled 242 to 166 computations (31.4% saved)

Precisions

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

ival-div: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.793248546651688e-58	7.516066004090711e-54
12.0ms	-4.3306050229364024e-16	-1.002343588246276e-16

Results

17.0ms

224×

valid

Compiler

Compiled 186 to 138 computations (25.8% saved)

Precisions

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

ival-div: 4.0ms (44.2% of total)

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

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

ival-add: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-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	30	66
1	51	66
2	62	66
3	70	66
4	76	66
5	78	66

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 -26000000000000001994743873536 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 x z) (.f64 (/.f64 y z) z)))
(if (<=.f64 y #s(literal -3143773488566009/10141204801825835211973625643008 binary64)) y (if (<=.f64 y #s(literal 210287584003775/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 x z) y))
y

Outputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -26000000000000001994743873536 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 x z) (.f64 (/.f64 y z) z)))
(if (<=.f64 y #s(literal -6084722881095501/20282409603651670423947251286016 binary64)) (.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 3235193600058077/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 x z) (.f64 z (/.f64 y z))))
(if (<=.f64 y #s(literal -3143773488566009/10141204801825835211973625643008 binary64)) y (if (<=.f64 y #s(literal 210287584003775/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 x z) y))
y

soundness1.2s (17.5%)

Rules

2816×	`-lowering-.f32`
2816×	`-lowering-.f64`
2576×	`sum3-define`
2560×	`/-lowering-/.f32`
2560×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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	8506	8
0	142	1457
1	478	1249
2	1576	1249
3	5337	1249
0	8013	1249
0	10	28
1	54	28
2	425	24
3	7485	24
0	8093	24

Stop Event

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

Compiler

Compiled 165 to 95 computations (42.4% saved)

preprocess62.0ms (0.9%)

Compiler: Compiled 210 to 90 computations (57.1% saved)

analyze65.0ms (0.9%)

sample1.2s (16.9%)

preprocess201.0ms (2.9%)

explain104.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify188.0ms (2.7%)

localize60.0ms (0.9%)

series20.0ms (0.3%)

rewrite346.0ms (4.9%)

simplify164.0ms (2.3%)

eval100.0ms (1.4%)

prune68.0ms (1%)

simplify170.0ms (2.4%)

localize61.0ms (0.9%)

series10.0ms (0.1%)

rewrite293.0ms (4.2%)

simplify198.0ms (2.8%)

eval51.0ms (0.7%)

prune58.0ms (0.8%)

simplify247.0ms (3.5%)

localize112.0ms (1.6%)

series17.0ms (0.2%)

rewrite284.0ms (4%)

simplify153.0ms (2.2%)

eval135.0ms (1.9%)

prune109.0ms (1.6%)

simplify141.0ms (2%)

localize63.0ms (0.9%)

series7.0ms (0.1%)

rewrite318.0ms (4.5%)

simplify225.0ms (3.2%)

eval126.0ms (1.8%)

prune126.0ms (1.8%)

regimes22.0ms (0.3%)

regimes155.0ms (2.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch46.0ms (0.7%)

bsearch27.0ms (0.4%)

bsearch26.0ms (0.4%)

simplify14.0ms (0.2%)

soundness1.2s (17.5%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling