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

analyze58.0ms (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: 17.0ms

ival-mult: 7.0ms (41.1% of total)

ival-sub: 4.0ms (23.5% of total)

ival-add: 3.0ms (17.6% of total)

ival-div: 2.0ms (11.7% of total)

const: 1.0ms (5.9% of total)

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

sample901.0ms (11.2%)

Results

636.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-sub: 91.0ms (29.5% of total)

ival-mult: 89.0ms (28.9% of total)

ival-div: 68.0ms (22.1% of total)

ival-add: 48.0ms (15.6% of total)

const: 9.0ms (2.9% of total)

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

Bogosity

preprocess202.0ms (2.5%)

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)

explain125.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.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

81.0ms

512×

valid

Compiler

Compiled 74 to 23 computations (68.9% saved)

Precisions

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

ival-sub: 4.0ms (26.5% of total)

ival-div: 4.0ms (26.5% of total)

ival-mult: 4.0ms (26.5% of total)

ival-add: 3.0ms (19.9% of total)

const: 1.0ms (6.6% of total)

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

eval0.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.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)

simplify169.0ms (2.1%)

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

localize69.0ms (0.9%)

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	89.4%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	96.6%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Results

56.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-add: 13.0ms (53.1% of total)

ival-div: 4.0ms (16.3% of total)

ival-sub: 3.0ms (12.2% of total)

ival-mult: 3.0ms (12.2% 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	z	@	-inf	(/ 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	y	@	inf	(+ y (* (- 1 y) (/ x z)))

rewrite368.0ms (4.6%)

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))))

simplify242.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

Outputs
(/ x z)
(/.f64 x z)
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eval77.0ms (1%)

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

prune86.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	675	9	684
Fresh	0	0	0
Picked	2	0	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
	32.4%	(/.f64 (*.f64 z y) z)
▶	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
	58.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	39.2%	(/.f64 x z)
▶	99.8%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
	84.1%	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) z) x)))
▶	77.8%	(+.f64 y (/.f64 x z))
▶	64.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	40.5%	y

Compiler

Compiled 172 to 112 computations (34.9% saved)

simplify136.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	34	74
2	79	74
3	171	72
4	430	71
5	1156	71
6	3182	71
7	7971	71
0	8105	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize157.0ms (2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	85.2%	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	96.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x)) y)
✓	accuracy	95.4%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Results

138.0ms

256×

valid

Compiler

Compiled 79 to 16 computations (79.7% saved)

Precisions

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

ival-sub: 8.0ms (35.6% of total)

ival-div: 8.0ms (35.6% of total)

ival-add: 3.0ms (13.4% of total)

ival-mult: 3.0ms (13.4% of total)

const: 1.0ms (4.5% of total)

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

series15.0ms (0.2%)

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* y (- 1 (/ x z)))
2.0ms	z	@	inf	(/ (* y (- z x)) z)
1.0ms	y	@	0	(* y (- 1 (/ x z)))
0.0ms	z	@	-inf	(/ (* y (- z x)) z)
0.0ms	y	@	inf	(/ (* y (- z x)) z)

rewrite386.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4124×	`/-lowering-/.f32`
4124×	`/-lowering-/.f64`
3948×	`-lowering-.f32`
3948×	`-lowering-.f64`
2066×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	107	56
2	1040	56
0	8192	56

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 542

Calls

Call 1

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

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

simplify208.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval168.0ms (2.1%)

Compiler: Compiled 15662 to 1941 computations (87.6% saved)

prune114.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	923	1	924
Fresh	0	4	4
Picked	1	4	5
Done	0	0	0
Total	924	9	933

Accuracy

100.0%

Counts

933 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.4%	(/.f64 (*.f64 z y) z)
✓	52.8%	(/.f64 (*.f64 y (-.f64 z x)) z)
▶	58.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	39.2%	(/.f64 x z)
▶	84.1%	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) z) x)))
✓	77.8%	(+.f64 y (/.f64 x z))
▶	55.2%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	64.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.5%	y

Compiler

Compiled 136 to 87 computations (36% saved)

simplify206.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(*.f64 (-.f64 z x) (/.f64 y z))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	256	(/.f64 (*.f64 z y) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(+.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) z) x)))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) z) x))

Rules

2866×	`-lowering-.f32`
2866×	`-lowering-.f64`
1598×	`fnmadd-define`
1380×	`fma-lowering-fma.f32`
1380×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	49	101
2	119	96
3	313	94
4	1046	94
5	4104	80
0	8109	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize143.0ms (1.8%)

Localize:

Found 13 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	96.2%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	84.5%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	79.5%	(/.f64 (*.f64 z y) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	98.0%	(/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) z) x)
✓	accuracy	80.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (+.f64 y #s(literal 1 binary64)) z) x))

Results

83.0ms

256×

valid

Compiler

Compiled 109 to 21 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 15.0ms (45.6% of total)

ival-mult: 10.0ms (30.4% of total)

ival-sub: 4.0ms (12.2% of total)

ival-add: 3.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

series43.0ms (0.5%)

Counts

14 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite358.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4272×	`/-lowering-/.f32`
4272×	`/-lowering-/.f64`
3366×	`-lowering-.f32`
3366×	`-lowering-.f64`
1502×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	133	67
2	1161	62
0	8585	62

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 820

Calls

Call 1

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

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

simplify217.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2494×	`-lowering-.f32`
2494×	`-lowering-.f64`
1850×	`fmsub-define`
1518×	`fmm-def`
1480×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	2264
1	376	1978
2	1145	1801
3	3781	1801
0	8588	1801

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

Outputs
(/ x z)
(/.f64 x z)
(+ (* -1 (/ (* x y) z)) (/ x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(+ (* -1 (/ (* x y) z)) (/ x z))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ x z)
(/.f64 x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(+ (* y (- 1 (/ x z))) (/ x z))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(+ (* y (- 1 (/ x z))) (/ x z))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* y (+ 1 (* -1 (/ x z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (- (/ x z) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(+.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(/ (+ (* y z) (/ (* x (- 1 (pow y 2))) (+ 1 y))) z)
(/.f64 (+.f64 (.f64 z y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))) z)
(/ (+ (* y z) (/ (* x (- 1 (pow y 2))) (+ 1 y))) z)
(/.f64 (+.f64 (.f64 z y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))) z)
(/ (+ (* y z) (/ (* x (- 1 (pow y 2))) (+ 1 y))) z)
(/.f64 (+.f64 (.f64 z y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))) z)
y
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
y
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(+ y (/ (* x (- 1 (pow y 2))) (* z (+ 1 y))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
y
(+ y (* x (- (/ 1 (* z (+ 1 y))) (/ (pow y 2) (* z (+ 1 y))))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(+ y (* x (- (/ 1 (* z (+ 1 y))) (/ (pow y 2) (* z (+ 1 y))))))
(+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
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eval225.0ms (2.8%)

Compiler: Compiled 24652 to 2083 computations (91.6% saved)

prune320.0ms (4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1175	5	1180
Fresh	0	0	0
Picked	1	4	5
Done	1	3	4
Total	1177	12	1189

Accuracy

100.0%

Counts

1189 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.4%	(/.f64 (*.f64 z y) z)
✓	58.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	37.2%	(/.f64 z (/.f64 z y))
✓	39.2%	(/.f64 x z)
▶	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
▶	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
▶	60.4%	(-.f64 y (/.f64 x (/.f64 z y)))
✓	77.8%	(+.f64 y (/.f64 x z))
▶	39.1%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	55.2%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	64.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.5%	y

Compiler

Compiled 140 to 95 computations (32.1% saved)

simplify283.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	256	(/.f64 z (/.f64 z y))
✓	cost-diff	0	(/.f64 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 #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	0	(-.f64 y (/.f64 x (/.f64 z y)))

Rules

2284×	`fma-lowering-fma.f32`
2284×	`fma-lowering-fma.f64`
2200×	`-lowering-.f32`
2200×	`-lowering-.f64`
2058×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	31	46
2	65	45
3	243	45
4	1097	45
5	2811	45
6	6638	45
0	8375	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize95.0ms (1.2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	78.5%	(/.f64 z (/.f64 z y))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 y (/.f64 x (/.f64 z y)))
✓	accuracy	92.5%	(/.f64 x (/.f64 z y))

Results

77.0ms

256×

valid

Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions

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

ival-div: 15.0ms (72.8% of total)

ival-mult: 3.0ms (14.6% of total)

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

const: 1.0ms (4.9% of total)

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

series14.0ms (0.2%)

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(/ z y)
0.0ms	y	@	0	(- y (/ x (/ z y)))
0.0ms	z	@	0	(- y (/ x (/ z y)))
0.0ms	y	@	-inf	(- y (/ x (/ z y)))
0.0ms	z	@	-inf	(/ z y)

rewrite409.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3494×	`-lowering-.f32`
3494×	`-lowering-.f64`
3078×	`/-lowering-/.f32`
3078×	`/-lowering-/.f64`
1580×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	89	30
2	709	29
0	8904	29

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 511

Calls

Call 1

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

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

simplify313.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2002×	`fmm-def`
1914×	`fma-lowering-fma.f32`
1914×	`fma-lowering-fma.f64`
1820×	`-lowering-.f32`
1820×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	783
1	88	753
2	204	753
3	520	753
4	1942	753
5	7733	753
0	8326	753

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval140.0ms (1.7%)

Compiler: Compiled 9413 to 1167 computations (87.6% saved)

prune105.0ms (1.3%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	787	0	787
Fresh	0	0	0
Picked	0	5	5
Done	0	7	7
Total	787	12	799

Accuracy

100.0%

Counts

799 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.4%	(/.f64 (*.f64 z y) z)
✓	58.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	37.2%	(/.f64 z (/.f64 z y))
✓	39.2%	(/.f64 x z)
✓	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	60.4%	(-.f64 y (/.f64 x (/.f64 z y)))
✓	77.8%	(+.f64 y (/.f64 x z))
✓	39.1%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	55.2%	(*.f64 (-.f64 z x) (/.f64 y z))
✓	64.9%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	40.5%	y

Compiler

Compiled 212 to 107 computations (49.5% saved)

regimes55.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

17.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
86.4%	3	`x`
99.3%	3	`y`
90.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
77.8%	1	`x`
77.8%	1	`z`
79.7%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
77.8%	1	`z`
77.8%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Outputs
y
(/.f64 x z)
y

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
59.9%	3	`x`
64.1%	3	`y`
56.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

3.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
40.5%	1	`z`
40.5%	1	`x`
40.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch145.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
130.0ms	1.2104704983271946e-27	9.073806807237057e-21
12.0ms	-6.924086409464317	-0.0004619580348750649

Results

134.0ms

272×

valid

Compiler

Compiled 358 to 250 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-sub: 118.0ms (95.1% of total)

ival-div: 2.0ms (1.6% of total)

ival-mult: 2.0ms (1.6% of total)

ival-add: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.2104704983271946e-27	9.073806807237057e-21

Results

9.0ms

144×

valid

Compiler

Compiled 180 to 120 computations (33.3% saved)

Precisions

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

ival-sub: 1.0ms (24.3% of total)

ival-div: 1.0ms (24.3% of total)

ival-add: 1.0ms (24.3% of total)

ival-mult: 1.0ms (24.3% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.915261536060221e-98	2.981311705328956e-97
23.0ms	-5.646845269008743e-19	-6.224674965388263e-32

Results

25.0ms

256×

valid

Compiler

Compiled 210 to 156 computations (25.7% saved)

Precisions

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

ival-sub: 2.0ms (26.9% of total)

ival-div: 2.0ms (26.9% of total)

ival-mult: 2.0ms (26.9% of total)

ival-add: 1.0ms (13.4% 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`
12×	`*-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	26	63
1	43	63
2	53	63
3	61	63
4	67	63
5	69	63

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 5981525981032121/664613997892457936451903530140172288 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (+.f64 y (/.f64 x z)) (/.f64 z (/.f64 z y)))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -357160372320217/43556142965880123323311949751266331066368 binary64)) y (if (<=.f64 y #s(literal 3270674342474151/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 5981525981032121/664613997892457936451903530140172288 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (+.f64 y (/.f64 x z)) (/.f64 z (/.f64 z y)))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -357160372320217/43556142965880123323311949751266331066368 binary64)) y (if (<=.f64 y #s(literal 3270674342474151/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 x z) y))
y

soundness1.3s (15.9%)

Rules

4272×	`/-lowering-/.f32`
4272×	`/-lowering-/.f64`
3366×	`-lowering-.f32`
3366×	`-lowering-.f64`
2576×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	142	1457
1	478	1249
2	1576	1249
3	5337	1249
0	8013	1249
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	20	83
1	133	67
2	1161	62
0	8585	62

Stop Event

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

Compiler

Compiled 160 to 92 computations (42.5% saved)

preprocess64.0ms (0.8%)

Compiler: Compiled 196 to 82 computations (58.2% saved)

analyze58.0ms (0.7%)

sample901.0ms (11.2%)

preprocess202.0ms (2.5%)

explain125.0ms (1.6%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify169.0ms (2.1%)

localize69.0ms (0.9%)

series19.0ms (0.2%)

rewrite368.0ms (4.6%)

simplify242.0ms (3%)

eval77.0ms (1%)

prune86.0ms (1.1%)

simplify136.0ms (1.7%)

localize157.0ms (2%)

series15.0ms (0.2%)

rewrite386.0ms (4.8%)

simplify208.0ms (2.6%)

eval168.0ms (2.1%)

prune114.0ms (1.4%)

simplify206.0ms (2.6%)

localize143.0ms (1.8%)

series43.0ms (0.5%)

rewrite358.0ms (4.5%)

simplify217.0ms (2.7%)

eval225.0ms (2.8%)

prune320.0ms (4%)

simplify283.0ms (3.5%)

localize95.0ms (1.2%)

series14.0ms (0.2%)

rewrite409.0ms (5.1%)

simplify313.0ms (3.9%)

eval140.0ms (1.7%)

prune105.0ms (1.3%)

regimes55.0ms (0.7%)

regimes26.0ms (0.3%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch145.0ms (1.8%)

bsearch15.0ms (0.2%)

bsearch35.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.3s (15.9%)

preprocess64.0ms (0.8%)

end0.0ms (0%)

Profiling