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

analyze67.0ms (0.7%)

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: 16.0ms

ival-mult: 5.0ms (31.3% of total)

ival-sub: 4.0ms (25% of total)

ival-div: 3.0ms (18.8% of total)

ival-add: 3.0ms (18.8% of total)

const: 1.0ms (6.3% of total)

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

sample3.9s (40.2%)

Results

3.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 797.0ms

ival-sub: 327.0ms (41% of total)

ival-div: 325.0ms (40.8% of total)

ival-mult: 85.0ms (10.7% of total)

ival-add: 48.0ms (6% of total)

const: 9.0ms (1.1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess179.0ms (1.9%)

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)

explain128.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(/.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

96.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 4.0ms (25.5% of total)

ival-div: 4.0ms (25.5% of total)

ival-mult: 4.0ms (25.5% of total)

ival-add: 3.0ms (19.2% of total)

const: 1.0ms (6.4% 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
▶	89.7%	(/.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)

simplify152.0ms (1.6%)

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

localize77.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	89.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	97.2%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Results

64.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-div: 5.0ms (33% of total)

ival-mult: 4.0ms (26.4% of total)

ival-sub: 3.0ms (19.8% of total)

ival-add: 3.0ms (19.8% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

8 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite339.0ms (3.5%)

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))))

simplify182.0ms (1.9%)

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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eval138.0ms (1.4%)

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

prune73.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	677	7	684
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	677	9	686

Accuracy

100.0%

Counts

686 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	89.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	25.4%	(/.f64 (*.f64 z y) z)
	66.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	44.2%	(/.f64 x z)
▶	76.3%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	60.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	34.1%	y

Compiler

Compiled 136 to 89 computations (34.6% saved)

simplify159.0ms (1.7%)

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

localize114.0ms (1.2%)

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	97.3%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	77.3%	(/.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

96.0ms

256×

valid

Compiler

Compiled 50 to 11 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 16.0ms (68.1% of total)

ival-mult: 4.0ms (17% of total)

ival-add: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series9.0ms (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
3.0ms	x	@	0	(* y (- 1 (/ x z)))
0.0ms	y	@	0	(* y (- 1 (/ x z)))
0.0ms	y	@	inf	(* y (- 1 (/ x z)))
0.0ms	y	@	-inf	(/ (* z y) z)
0.0ms	z	@	inf	(* z y)

rewrite458.0ms (4.8%)

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

simplify287.0ms (3%)

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))

eval85.0ms (0.9%)

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

prune44.0ms (0.5%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	467	5	472
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	468	13	481

Accuracy

100.0%

Counts

481 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	89.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
	66.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	30.3%	(/.f64 z (/.f64 z y))
✓	44.2%	(/.f64 x z)
▶	44.0%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
▶	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	76.3%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	30.7%	(*.f64 (/.f64 y z) z)
▶	44.1%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	60.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	34.1%	y

Compiler

Compiled 172 to 116 computations (32.6% saved)

simplify371.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	256	(*.f64 (/.f64 y z) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(+.f64 x (*.f64 z y))
✓	cost-diff	128	(/.f64 (+.f64 x (*.f64 z y)) z)

Rules

6082×	`-lowering-.f32`
6082×	`-lowering-.f64`
3552×	`cube-prod`
2720×	`pow-lowering-pow.f64`
2720×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	31	44
2	51	44
3	80	44
4	167	44
5	448	43
6	1816	43
7	1993	43
8	2035	43
9	2072	43
10	2108	43
11	2145	43
12	2924	43
13	3108	43
14	3216	43
15	3403	43
16	3645	43
17	3956	43
18	4328	43
19	4772	43
20	5134	43
21	5358	43
22	5442	43
23	5532	43
24	5628	43
25	6004	43
26	6669	43
27	7707	43
0	8193	43

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize91.0ms (0.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	99.3%	(/.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	77.4%	(*.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 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	88.9%	(/.f64 (+.f64 x (*.f64 z y)) z)

Results

74.0ms

256×

valid

Compiler

Compiled 64 to 16 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 13.0ms (55.8% of total)

ival-mult: 8.0ms (34.4% of total)

ival-add: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

11 → 252

Calls

Call 1

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

63 calls:

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

rewrite279.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2542×	`-lowering-.f32`
2542×	`-lowering-.f64`
1810×	`/-lowering-/.f32`
1810×	`/-lowering-/.f64`
1218×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	85	39
2	519	30
3	4562	30
0	8283	30

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 570

Calls

Call 1

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

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

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2238×	`fnmadd-define`
1688×	`fmsub-define`
1668×	`fnmsub-define`
1652×	`fma-lowering-fma.f32`
1652×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	756
1	165	726
2	465	726
3	1445	726
4	4044	726
5	6801	726
0	8223	726

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
y
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
(/ x z)
(* x (+ (/ 1 z) (/ y x)))
(* x (+ (/ 1 z) (/ y x)))
(* x (+ (/ 1 z) (/ y x)))
(/ x z)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(/ x z)
(/ (+ x (* y z)) z)
(/ (+ x (* y z)) z)
(/ (+ x (* y z)) z)
y
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
y
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
(/ x z)
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
y
(* y (+ 1 (/ x (* y z))))
(* y (+ 1 (/ x (* y z))))
(* y (+ 1 (/ x (* y z))))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ 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
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ (+ x (* y z)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/ (+ x (* y z)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/ (+ x (* y z)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
y
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(* y z)
(*.f64 y z)
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
x
(* x (+ 1 (/ (* y z) x)))
(+.f64 x (*.f64 y z))
(* x (+ 1 (/ (* y z) x)))
(+.f64 x (*.f64 y z))
(* x (+ 1 (/ (* y z) x)))
(+.f64 x (*.f64 y z))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(+.f64 x (*.f64 y z))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(+.f64 x (*.f64 y z))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(+.f64 x (*.f64 y z))
x
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(+.f64 x (*.f64 y z))
(* z (+ y (/ x z)))
(+.f64 x (*.f64 y z))
(* z (+ y (/ x z)))
(+.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(+.f64 x (*.f64 y z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(+.f64 x (*.f64 y z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(+.f64 x (*.f64 y z))
x
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
(+ x (* y z))
(+.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(+.f64 x (*.f64 y z))
(* y (+ z (/ x y)))
(+.f64 x (*.f64 y z))
(* y (+ z (/ x y)))
(+.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+.f64 x (*.f64 y z))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+.f64 x (*.f64 y z))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ 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)

eval106.0ms (1.1%)

Compiler: Compiled 9912 to 1066 computations (89.2% saved)

prune92.0ms (1%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	822	0	822
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	822	13	835

Accuracy

100.0%

Counts

835 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.6%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	89.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	66.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	30.3%	(/.f64 z (/.f64 z y))
✓	44.2%	(/.f64 x z)
✓	44.0%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	76.3%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	30.7%	(*.f64 (/.f64 y z) z)
✓	44.1%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	60.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	34.1%	y

Compiler

Compiled 112 to 75 computations (33% saved)

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

2418×	`-lowering-.f32`
2418×	`-lowering-.f64`
2016×	`sum5-define`
1840×	`fma-lowering-fma.f32`
1840×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	18	31
2	38	25
3	64	23
4	230	23
5	847	23
6	3322	23
7	6415	23
0	8237	23

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize68.0ms (0.7%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	97.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	77.9%	(/.f64 z (/.f64 z y))

Results

36.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

ival-div: 7.0ms (65.4% of total)

ival-sub: 2.0ms (18.7% of total)

ival-mult: 2.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite279.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2990×	`/-lowering-/.f32`
2990×	`/-lowering-/.f64`
2160×	`-lowering-.f32`
2160×	`-lowering-.f64`
1430×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	49	19
2	314	19
3	3165	17
0	9315	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 411

Calls

Call 1

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

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

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2082×	`-lowering-.f32`
2082×	`-lowering-.f64`
1858×	`fnmsub-define`
1798×	`fmsub-define`
1578×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	488
1	125	488
2	350	434
3	829	434
4	3550	434
0	8256	434

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval63.0ms (0.7%)

Compiler: Compiled 7453 to 1168 computations (84.3% saved)

prune83.0ms (0.9%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	530	1	531
Fresh	0	0	0
Picked	1	1	2
Done	0	11	11
Total	531	13	544

Accuracy

100.0%

Counts

544 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(/.f64 (-.f64 x (*.f64 y x)) z)
✓	67.6%	(/.f64 (+.f64 x (*.f64 z y)) z)
✓	89.7%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	30.3%	(/.f64 z (/.f64 z y))
✓	44.2%	(/.f64 x z)
✓	44.0%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	76.3%	(+.f64 y (/.f64 x z))
✓	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	30.7%	(*.f64 (/.f64 y z) z)
✓	44.1%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	60.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	34.1%	y

Compiler

Compiled 200 to 108 computations (46% saved)

regimes30.0ms (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 (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (+.f64 x (*.f64 z 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:

11.0ms	z
5.0ms	y
5.0ms	x
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)

regimes14.0ms (0.1%)

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

5.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
86.6%	3	`x`
98.2%	3	`y`
88.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

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:

4.0ms	y
3.0ms	z
3.0ms	x

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
56.8%	3	`x`
65.0%	3	`y`
57.2%	3	`z`

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
63.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
34.1%	1	`x`
34.1%	1	`z`
34.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8235192442338048e-7	46.18301110432421
15.0ms	-6830.826562820915	-0.15123907052131252

Results

21.0ms

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 (24.5% of total)

ival-div: 2.0ms (24.5% of total)

ival-add: 2.0ms (24.5% of total)

ival-mult: 2.0ms (24.5% of total)

const: 0.0ms (0% of total)

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

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.8235192442338048e-7	46.18301110432421
13.0ms	-0.15123907052131252	-1.04372063376904e-5

Results

18.0ms

272×

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions

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

ival-sub: 2.0ms (25.2% of total)

ival-div: 2.0ms (25.2% of total)

ival-add: 2.0ms (25.2% of total)

ival-mult: 2.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.8235192442338048e-7	46.18301110432421
13.0ms	-0.15123907052131252	-1.04372063376904e-5

Results

19.0ms

272×

valid

Compiler

Compiled 222 to 165 computations (25.7% saved)

Precisions

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

ival-sub: 2.0ms (24% of total)

ival-div: 2.0ms (24% of total)

ival-add: 2.0ms (24% of total)

ival-mult: 2.0ms (24% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

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	27	66
1	45	66
2	55	66
3	63	66
4	69	66
5	71	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 -1 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 -4722366482869645/295147905179352825856 binary64)) (*.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 7378697629483821/295147905179352825856 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -6198106008766409/147573952589676412928 binary64)) y (if (<=.f64 y #s(literal 7378697629483821/295147905179352825856 binary64)) (/.f64 x z) y))
y

Outputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -1 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 -4722366482869645/295147905179352825856 binary64)) (*.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 7378697629483821/295147905179352825856 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -4722366482869645/295147905179352825856 binary64)) (*.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 7378697629483821/295147905179352825856 binary64)) (/.f64 x z) y))
(if (<=.f64 y #s(literal -6198106008766409/147573952589676412928 binary64)) y (if (<=.f64 y #s(literal 7378697629483821/295147905179352825856 binary64)) (/.f64 x z) y))
y

soundness1.0s (10.9%)

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	10	28
1	54	28
2	425	24
3	7485	24
0	8093	24
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

Stop Event

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

Compiler

Compiled 168 to 98 computations (41.7% saved)

preprocess56.0ms (0.6%)

Compiler: Compiled 202 to 84 computations (58.4% saved)

analyze67.0ms (0.7%)

sample3.9s (40.2%)

preprocess179.0ms (1.9%)

explain128.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify152.0ms (1.6%)

localize77.0ms (0.8%)

series19.0ms (0.2%)

rewrite339.0ms (3.5%)

simplify182.0ms (1.9%)

eval138.0ms (1.4%)

prune73.0ms (0.8%)

simplify159.0ms (1.7%)

localize114.0ms (1.2%)

series9.0ms (0.1%)

rewrite458.0ms (4.8%)

simplify287.0ms (3%)

eval85.0ms (0.9%)

prune44.0ms (0.5%)

simplify371.0ms (3.9%)

localize91.0ms (0.9%)

series12.0ms (0.1%)

rewrite279.0ms (2.9%)

simplify161.0ms (1.7%)

eval106.0ms (1.1%)

prune92.0ms (1%)

simplify170.0ms (1.8%)

localize68.0ms (0.7%)

series3.0ms (0%)

rewrite279.0ms (2.9%)

simplify149.0ms (1.5%)

eval63.0ms (0.7%)

prune83.0ms (0.9%)

regimes30.0ms (0.3%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch32.0ms (0.3%)

bsearch56.0ms (0.6%)

bsearch39.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.0s (10.9%)

preprocess56.0ms (0.6%)

end0.0ms (0%)

Profiling