Metrics for Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze32.0ms (0.4%)

Memory

-5.1MiB live, 38.3MiB allocated

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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	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
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample924.0ms (11.6%)

Memory

37.4MiB live, 811.4MiB allocated

Samples

641.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-sub: 97.0ms (41.2% of total)

ival-mult: 66.0ms (28.1% of total)

ival-div: 62.0ms (26.4% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain81.0ms (1%)

Memory

-1.8MiB live, 73.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	o/n	34	0
↳	`(*.f64 x (-.f64 y z))`	overflow	52
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	u/n	12	0
↳	`(*.f64 x (-.f64 y z))`	underflow	12

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	0
-	0	0	210

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	46

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

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

ival-div: 4.0ms (36.5% of total)

ival-mult: 4.0ms (36.5% of total)

ival-sub: 3.0ms (27.3% of total)

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

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

preprocess337.0ms (4.2%)

Memory

-15.9MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 616×	`lower-fma.f64`
3 616×	`lower-fma.f32`
2 104×	`lower-*.f32`
2 102×	`lower-*.f64`
1 924×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	76
1	80	70
2	276	65
3	1156	63
4	3211	63
5	4696	63
6	5611	63
7	6028	63
8	6204	63
9	6212	63
10	6675	63
11	7576	63
0	6	7
0	9	7
1	14	7
2	31	7
3	52	7
4	102	7
5	190	7
6	401	7
7	1096	7
8	3217	7
9	4412	7
10	5096	7
11	5275	7
12	5417	7
13	5593	7
14	7024	7
15	7493	7
16	7656	7
17	7763	7
18	7785	7
19	7785	7
0	8069	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify213.0ms (2.7%)

Memory

-6.6MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

3 616×	`lower-fma.f64`
3 616×	`lower-fma.f32`
2 104×	`lower-*.f32`
2 102×	`lower-*.f64`
1 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	31	18
3	52	18
4	102	18
5	190	18
6	401	18
7	1096	18
8	3217	18
9	4412	18
10	5096	18
11	5275	18
12	5417	18
13	5593	18
14	7024	18
15	7493	18
16	7656	18
17	7763	18
18	7785	18
19	7785	18
0	8069	18

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.2%)

Memory

6.8MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(*.f64 x (-.f64 y z))
accuracy	10.882961131192761	(/.f64 (*.f64 x (-.f64 y z)) y)

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (39.5% of total)

ival-mult: 2.0ms (39.5% of total)

ival-sub: 1.0ms (19.7% of total)

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

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

series25.0ms (0.3%)

Memory

-27.9MiB live, 48.7MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 (*.f64 x (-.f64 y z)) y) (patch (/.f64 (*.f64 x (-.f64 y z)) y) #<representation binary64>) () ())

#s(alt (*.f64 x (-.f64 y z)) (patch (*.f64 x (-.f64 y z)) #<representation binary64>) () ())

#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	y	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	x	@	-inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	x	@	inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))
1.0ms	z	@	inf	((/ (* x (- y z)) y) (* x (- y z)) (- y z))

simplify170.0ms (2.1%)

Memory

13.5MiB live, 173.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 842×	`lower-fma.f64`
3 842×	`lower-fma.f32`
2 802×	`lower-*.f64`
2 802×	`lower-*.f32`
1 412×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	585
1	174	465
2	493	465
3	1303	465
4	2739	465
5	4443	465
6	5818	465
7	6239	465
8	6355	465
9	6423	465
10	7298	465
11	7590	465
0	8001	465

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

rewrite343.0ms (4.3%)

Memory

5.0MiB live, 238.3MiB allocated

Rules

5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 046×	`lower-fma.f64`
4 046×	`lower-fma.f32`
3 526×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	223	15
3	2306	15
0	9060	15

Stop Event

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

Counts

3 → 418

Calls

Call 1

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

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

eval136.0ms (1.7%)

Memory: -4.1MiB live, 127.6MiB allocated
Compiler: Compiled 13 152 to 1 530 computations (88.4% saved)

prune93.0ms (1.2%)

Memory

10.1MiB live, 93.2MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	500	8	508
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	500	9	509

Accuracy

100.0%

Counts

509 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	43.1%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	41.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
▶	97.6%	(/.f64 x (/.f64 y (-.f64 y z)))
▶	97.6%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	84.3%	(*.f64 (/.f64 x y) (-.f64 y z))
	82.9%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (-.f64 y z) x))
	94.3%	#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
	44.7%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 174 to 104 computations (40.2% saved)

simplify101.0ms (1.3%)

Memory

-7.2MiB live, 101.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 y (-.f64 y z))
cost-diff	384	(/.f64 x (/.f64 y (-.f64 y z)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (-.f64 y z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(*.f64 x #s(approx (- y z) (neg.f64 z)))
cost-diff	0	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (- y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
cost-diff	0	(-.f64 y z)
cost-diff	0	(/.f64 (-.f64 y z) y)
cost-diff	0	(*.f64 (/.f64 (-.f64 y z) y) x)

Rules

4 398×	`lower-fma.f64`
4 398×	`lower-fma.f32`
3 070×	`lower-*.f32`
3 062×	`lower-*.f64`
1 724×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	32	106
1	49	106
2	69	106
3	131	106
4	213	106
5	534	106
6	1934	106
7	4159	106
8	7359	106
0	8023	106

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (-.f64 y z) y)
(-.f64 y z)
y
z
x
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
x
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 x y)
x
y
(-.f64 y z)
z
(/.f64 x (/.f64 y (-.f64 y z)))
x
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z

Outputs
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 (-.f64 y z) y)
(-.f64 y z)
y
z
x
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
#s(approx (* x (- y z)) (*.f64 y x))
#s(approx (* x (- y z)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(*.f64 x #s(approx (- y z) (neg.f64 z)))
(*.f64 #s(approx (- y z) (neg.f64 z)) x)
x
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 x (/.f64 (-.f64 y z) y))
(/.f64 x y)
x
y
(-.f64 y z)
z
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 x (/.f64 (-.f64 y z) y))
x
(/.f64 y (-.f64 y z))
y
(-.f64 y z)
z

localize86.0ms (1.1%)

Memory

-12.8MiB live, 72.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(/.f64 y (-.f64 y z))
accuracy	1.5142143557857752	(/.f64 x (/.f64 y (-.f64 y z)))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 y z)
accuracy	10.06969119575535	(*.f64 (/.f64 x y) (-.f64 y z))
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	10.882961131192761	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
accuracy	34.21809082391809	#s(approx (- y z) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	10.882961131192761	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
accuracy	27.43580660698723	#s(approx (* x (- y z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(/.f64 (-.f64 y z) y)
accuracy	1.5181206057857752	(*.f64 (/.f64 (-.f64 y z) y) x)

Samples

56.0ms

256×

valid

Compiler

Compiled 91 to 16 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 34.0ms (79.2% of total)

ival-mult: 6.0ms (14% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

series22.0ms (0.3%)

Memory

7.0MiB live, 43.0MiB allocated

Counts

14 → 408

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())
#s(alt #s(approx (* x (- y z)) (.f64 y x)) (patch #s(approx ( x (- y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- y z) (neg.f64 z))) (patch (.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (.f64 y x)) (patch #s(approx ( x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (.f64 y x)) (patch #s(approx ( x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (.f64 y x)) (patch #s(approx ( x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt #s(approx (* x (- y z)) (.f64 y x)) (patch #s(approx ( x (- y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (patch (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x #s(approx (- y z) (neg.f64 z))) (patch (.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x #s(approx (- y z) (neg.f64 z))) (patch (.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x #s(approx (- y z) (neg.f64 z))) (patch (.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x #s(approx (- y z) (neg.f64 z))) (patch (.f64 x #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 (-.f64 y z) y) x) (patch (.f64 (/.f64 (-.f64 y z) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 y z) y) (patch (/.f64 (-.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 #s(approx (* x (- y z)) (.f64 y x)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 y x)) y) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify127.0ms (1.6%)

Memory

6.5MiB live, 191.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 318×	`lower-fma.f64`
7 318×	`lower-fma.f32`
3 418×	`lower-*.f64`
3 418×	`lower-*.f32`
1 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	2545
1	481	2187
2	1335	2160
3	4467	2153
0	8228	2140

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 387

Calls

Call 1

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

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

rewrite191.0ms (2.4%)

Memory

-10.0MiB live, 316.6MiB allocated

Rules

3 348×	`lower-*.f32`
3 340×	`lower-*.f64`
2 874×	`lower-/.f32`
2 862×	`lower-/.f64`
1 588×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	32	86
1	92	86
2	517	86
3	5364	82
0	9014	79

Stop Event

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

Counts

14 → 1 211

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 y z) y) x)
(/.f64 (-.f64 y z) y)
(-.f64 y z)
(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
#s(approx (* x (- y z)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
(*.f64 x #s(approx (- y z) (neg.f64 z)))
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 x y)
(/.f64 x (/.f64 y (-.f64 y z)))
(/.f64 y (-.f64 y z))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (fma.f64 z z (*.f64 y y))) (-.f64 y z))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (/.f64 z y) x x)) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (-.f64 y z) z (.f64 y y)))) (fma.f64 (-.f64 y z) z (*.f64 y y)))
(.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (/.f64 z y) x x)) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (fma.f64 z z (.f64 y y)) (-.f64 y z)) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (-.f64 y z) z) (-.f64 (.f64 (-.f64 y z) z) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 z y))
(.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (-.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (-.f64 z y))
(*.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z z (.f64 y y)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 (-.f64 y z) z (*.f64 y y))))
(.f64 (/.f64 x (/.f64 y (fma.f64 z z (.f64 y y)))) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(.f64 (/.f64 x (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y)))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 x (fma.f64 (-.f64 y z) z (*.f64 y y))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 x (-.f64 y z)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 y z)))
(.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) y))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y)))) (/.f64 (/.f64 x y) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (/.f64 (/.f64 x y) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y z))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 z y) y))
(.f64 (.f64 (-.f64 z y) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (fma.f64 z z (.f64 y y)) y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (/.f64 z y) x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (.f64 y y))))
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y z))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 z y) x))
(.f64 (.f64 (fma.f64 z z (.f64 y y)) x) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) y)))
(.f64 (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) y)))
(.f64 (.f64 (.f64 (-.f64 z y) x) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 z y) y)))
(.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (.f64 (-.f64 z y) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (neg.f64 y))))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (-.f64 z y) y)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) y)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 y x)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) y) x)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (/.f64 x y) (-.f64 y z)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 z y) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 z y) x))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 y z)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) x x))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 (neg.f64 x) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (neg.f64 y))))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 x (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y)))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (*.f64 y y))) (/.f64 y x)))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y) x)))
(.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (/.f64 (/.f64 x y) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(.f64 (-.f64 z y) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (-.f64 z y) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) y))
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (-.f64 y z) (/.f64 x y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 x (-.f64 y z))))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 y (.f64 x (-.f64 y z))) (/.f64 y (*.f64 x (-.f64 y z)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y z) (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) (fma.f64 (/.f64 z y) x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 y z) y) (.f64 (fma.f64 z z (*.f64 y y)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 z y) y) (.f64 (*.f64 (-.f64 z y) x) (-.f64 y z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (neg.f64 y)) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (*.f64 (-.f64 z y) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (-.f64 y z) y) x) (fma.f64 z z (.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y) x) (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (-.f64 z y) x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y)))) (-.f64 y z))
(/.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y y))) x) (/.f64 (-.f64 y z) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y))) x) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 y z) y) x) (*.f64 y y))
(/.f64 (.f64 (.f64 (-.f64 z y) (-.f64 y z)) (/.f64 x y)) (-.f64 z y))
(/.f64 (.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (-.f64 z y)) (/.f64 x y)) (neg.f64 (fma.f64 (-.f64 y z) z (.f64 y y))))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 (-.f64 z y) (-.f64 y z))) (-.f64 y z))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (-.f64 z y))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 z y) x)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z (.f64 y y)) x)) (.f64 (-.f64 y z) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) x)) (.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 z y) x) (-.f64 y z))) (.f64 (-.f64 z y) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (.f64 (-.f64 z y) x))) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (neg.f64 y)))
(/.f64 (.f64 (/.f64 x y) (.f64 (-.f64 z y) (-.f64 y z))) (-.f64 z y))
(/.f64 (.f64 (/.f64 x y) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (-.f64 z y))) (neg.f64 (fma.f64 (-.f64 y z) z (.f64 y y))))
(/.f64 (.f64 (.f64 x (-.f64 y z)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 y z))) y)
(/.f64 (.f64 (.f64 x (-.f64 y z)) #s(literal 1 binary64)) y)
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (fma.f64 z z (.f64 y y))) (-.f64 z y))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (-.f64 y z) z (*.f64 y y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 z y) x) (.f64 (/.f64 z y) x))) (fma.f64 (/.f64 z y) x x))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (fma.f64 x x (-.f64 (.f64 (.f64 (/.f64 z y) x) (.f64 (/.f64 z y) x)) (.f64 x (*.f64 (/.f64 z y) x)))))
(/.f64 (/.f64 x (/.f64 y (fma.f64 z z (*.f64 y y)))) (-.f64 y z))
(/.f64 (/.f64 x (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (-.f64 z y) x)) y)
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 z y) x x) (-.f64 y z))) (-.f64 z y))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (/.f64 z y) x x))) (neg.f64 (fma.f64 (-.f64 y z) z (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 z y) x) (-.f64 y z))) (neg.f64 (*.f64 (-.f64 z y) y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (.f64 (-.f64 z y) x))) (neg.f64 (.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) (neg.f64 y))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y y)))) (/.f64 (-.f64 y z) y))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)))) (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y)))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 (-.f64 y z) y)) (.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (.f64 x (.f64 (-.f64 y z) y)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 x) (.f64 (-.f64 z y) (-.f64 y z))) (*.f64 (neg.f64 y) (-.f64 z y)))
(/.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (-.f64 z y))) (.f64 (neg.f64 y) (neg.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (-.f64 z y)))
(/.f64 (.f64 x (.f64 (-.f64 z y) (-.f64 y z))) (*.f64 y (-.f64 z y)))
(/.f64 (.f64 x (.f64 (-.f64 z y) (-.f64 y z))) (*.f64 (-.f64 z y) y))
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(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 z y) x x)
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) z) x)
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) y) (.f64 (*.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) y) (.f64 (/.f64 z y) x))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 z y) x))
(fma.f64 (/.f64 x y) z x)
(fma.f64 (/.f64 x y) y (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) y (*.f64 (/.f64 z y) x))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 z y) x))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(fma.f64 x (/.f64 z y) x)
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(fma.f64 z (/.f64 x y) x)
(fma.f64 y (/.f64 x y) (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y))) (*.f64 (-.f64 z y) (/.f64 x y)))
(-.f64 (/.f64 (.f64 y (/.f64 y (-.f64 y z))) (/.f64 y x)) (/.f64 (.f64 z (/.f64 z (-.f64 y z))) (/.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 y z) z (.f64 y y)))) (/.f64 y x)) (/.f64 (.f64 (.f64 z z) (/.f64 z (fma.f64 (-.f64 y z) z (.f64 y y)))) (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 z y) (/.f64 x y)))
(-.f64 x (*.f64 (/.f64 z y) x))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (.f64 (log.f64 (-.f64 y z)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (-.f64 y z)))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (.f64 (/.f64 z y) x))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (.f64 (/.f64 (neg.f64 x) y) z))
(+.f64 (*.f64 (/.f64 z y) x) x)
(+.f64 x (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y y)))) (/.f64 (-.f64 y z) y))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y)))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 (-.f64 z y) (-.f64 y z))) (-.f64 z y))
(.f64 (/.f64 y (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (-.f64 z y))) (neg.f64 (fma.f64 (-.f64 y z) z (.f64 y y))))
(.f64 (/.f64 (neg.f64 y) (fma.f64 z z (.f64 y y))) (-.f64 z y))
(.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (-.f64 y z) z (*.f64 y y))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) y)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z z (*.f64 y y)))) (-.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(*.f64 (pow.f64 (/.f64 y (-.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y (-.f64 y z)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) #s(literal 1 binary64)) y)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y))) #s(literal 1 binary64)) (/.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y))) (/.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 y y))) (*.f64 (-.f64 y z) y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y))
(.f64 (/.f64 y (fma.f64 z z (.f64 y y))) (-.f64 y z))
(.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 (fma.f64 (-.f64 y z) z (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (*.f64 y y)))))
(.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (-.f64 y z) z (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z)))
(.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y))))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 y z)))
(*.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(.f64 (-.f64 y z) (/.f64 y (fma.f64 z z (.f64 y y))))
(*.f64 y (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) #s(literal 1 binary64)))
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(pow.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 (-.f64 y z) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (-.f64 y z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64))
(/.f64 (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(/.f64 (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) (fma.f64 z z (*.f64 y y))) (-.f64 y z))
(/.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (-.f64 y z) z (.f64 y y)))) (fma.f64 (-.f64 y z) z (.f64 y y)))
(/.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (fma.f64 z z (.f64 y y)) (-.f64 y z)) (.f64 (.f64 z z) z)))) (fma.f64 (.f64 (-.f64 y z) z) (-.f64 (.f64 (-.f64 y z) z) (.f64 y y)) (.f64 (.f64 y y) (*.f64 y y))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 z y))
(/.f64 (.f64 y (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) (fma.f64 (-.f64 y z) z (.f64 y y)))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (fma.f64 z z (.f64 y y)) (-.f64 y z)) (.f64 (.f64 z z) z)))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)) (fma.f64 (.f64 (-.f64 y z) z) (-.f64 (.f64 (-.f64 y z) z) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y)))))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (.f64 y (fma.f64 z z (.f64 y y))) (.f64 (fma.f64 z z (.f64 y y)) (-.f64 y z)))
(/.f64 (.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (fma.f64 z z (.f64 y y)) (fma.f64 (-.f64 y z) z (*.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 z y))
(/.f64 (/.f64 y (fma.f64 z z (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 z y)))
(/.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) z (.f64 y y))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (-.f64 y z) y) (fma.f64 z z (.f64 y y)))
(/.f64 (.f64 (fma.f64 (-.f64 y z) z (.f64 y y)) y) (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) y))
(/.f64 (/.f64 y (-.f64 z y)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 (neg.f64 y) (-.f64 z y))
(/.f64 (/.f64 y (-.f64 y z)) #s(literal 1 binary64))
(/.f64 y (-.f64 y z))
(neg.f64 (/.f64 (/.f64 y (-.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (-.f64 z y)))
(fma.f64 (/.f64 y (fma.f64 z z (.f64 y y))) z (.f64 (/.f64 y (fma.f64 z z (*.f64 y y))) y))
(fma.f64 (/.f64 y (fma.f64 z z (.f64 y y))) y (.f64 (/.f64 y (fma.f64 z z (*.f64 y y))) z))
(fma.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 z z (.f64 y y)) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (*.f64 z y)))
(fma.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (-.f64 y z) z) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (*.f64 y y)))
(fma.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 y y) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (*.f64 (-.f64 y z) z)))
(fma.f64 (fma.f64 z z (.f64 y y)) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 z y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y)))))
(fma.f64 (.f64 (-.f64 y z) z) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y)))))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (.f64 (-.f64 y z) z) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (*.f64 y y) y)))))
(fma.f64 z (/.f64 y (fma.f64 z z (.f64 y y))) (.f64 y (/.f64 y (fma.f64 z z (*.f64 y y)))))
(fma.f64 y (/.f64 y (fma.f64 z z (.f64 y y))) (.f64 z (/.f64 y (fma.f64 z z (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 z y)) (/.f64 y (-.f64 z y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 z y)))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 y z)) #s(literal -1 binary64)) (.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 z y))))
(+.f64 (.f64 z (/.f64 y (fma.f64 z z (.f64 y y)))) (.f64 y (/.f64 y (fma.f64 z z (.f64 y y)))))
(+.f64 (.f64 y (/.f64 y (fma.f64 z z (.f64 y y)))) (.f64 z (/.f64 y (fma.f64 z z (.f64 y y)))))
(+.f64 (.f64 (fma.f64 z z (.f64 y y)) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (.f64 (.f64 z y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (.f64 (-.f64 y z) z) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (.f64 y y) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))) (.f64 (.f64 (-.f64 y z) z) (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y)))))
(+.f64 (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) z) (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) y))
(+.f64 (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) y) (.f64 (/.f64 y (fma.f64 z z (.f64 y y))) z))
(+.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (fma.f64 z z (.f64 y y))) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 z y)))
(+.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (-.f64 y z) z)) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 y y)))
(+.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 y y)) (.f64 (/.f64 y (fma.f64 (.f64 z z) z (.f64 (.f64 y y) y))) (.f64 (-.f64 y z) z)))

eval290.0ms (3.6%)

Memory: 50.9MiB live, 348.0MiB allocated
Compiler: Compiled 29 624 to 2 158 computations (92.7% saved)

prune501.0ms (6.3%)

Memory

-28.7MiB live, 233.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 836	8	1 844
Fresh	3	0	3
Picked	2	3	5
Done	0	1	1
Total	1 841	12	1 853

Accuracy

100.0%

Counts

1 853 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y) x)
✓	83.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	43.1%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	41.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	97.6%	(/.f64 x (/.f64 y (-.f64 y z)))
▶	44.7%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
▶	97.6%	(-.f64 x (*.f64 (/.f64 z y) x))
▶	97.6%	(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
	44.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
▶	43.9%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
▶	54.4%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 195 to 121 computations (37.9% saved)

simplify543.0ms (6.8%)

Memory

19.7MiB live, 176.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(/.f64 y #s(approx (- y z) (neg.f64 z)))
cost-diff	384	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
cost-diff	192	(fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
cost-diff	0	#s(approx (/ (- y z) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 z y)
cost-diff	0	(*.f64 (/.f64 z y) x)
cost-diff	0	(-.f64 x (*.f64 (/.f64 z y) x))

Rules

3 960×	`lower-fma.f32`
3 958×	`lower-fma.f64`
3 752×	`lower-*.f32`
3 744×	`lower-*.f64`
2 852×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	34	110
1	58	109
2	102	109
3	157	109
4	311	109
5	584	109
6	940	109
7	1511	109
8	2308	109
9	3347	109
10	4331	109
11	4835	109
12	4976	109
13	5083	109
14	5103	109
15	5593	109
16	6034	109
17	6229	109
18	6373	109
19	6443	109
20	6503	109
21	6815	109
22	7125	109
23	7129	109
24	7129	109
25	7497	109
26	7561	109
27	7613	109
28	7685	109
0	9622	109

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.7%)

Memory

-30.8MiB live, 127.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(/.f64 y #s(approx (- y z) (neg.f64 z)))
accuracy	1.5142143557857752	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
accuracy	34.21809082391809	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.08984375	(fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
accuracy	1.5181206057857752	(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	10.06969119575535	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
accuracy	34.21809082391809	#s(approx (- y z) (neg.f64 z))
accuracy	1.5181206057857752	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
accuracy	29.340445678400627	#s(approx (/ (- y z) y) #s(literal 1 binary64))
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 (/.f64 z y) x))
accuracy	5.462137432085752	(*.f64 (/.f64 z y) x)

Samples

40.0ms

256×

valid

Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions

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

ival-div: 10.0ms (43.6% of total)

ival-mult: 7.0ms (30.5% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

18.0MiB live, 56.8MiB allocated

Counts

14 → 384

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor 0 z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (/ x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (/ x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (/ x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (/.f64 z y) x)) (patch (-.f64 x (.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (.f64 (/.f64 z y) x) (patch (.f64 (/.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor inf z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) (/ 1 y))) (taylor inf z) (#s(alt #s(approx (/ (- y z) y) #s(literal 1 binary64)) (patch #s(approx (/ (- y z) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (patch (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) (patch (/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((- x (* (/ z y) x)) (* (/ z y) x) (/ z y) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (+ (* z (/ -1 y)) 1) (* (+ (* z (/ -1 y)) 1) x) (/ -1 y) (/ x (/ y (- y z))) (/ y (- y z)))
4.0ms	x	@	inf	((- x (* (/ z y) x)) (* (/ z y) x) (/ z y) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (+ (* z (/ -1 y)) 1) (* (+ (* z (/ -1 y)) 1) x) (/ -1 y) (/ x (/ y (- y z))) (/ y (- y z)))
2.0ms	y	@	0	((- x (* (/ z y) x)) (* (/ z y) x) (/ z y) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (+ (* z (/ -1 y)) 1) (* (+ (* z (/ -1 y)) 1) x) (/ -1 y) (/ x (/ y (- y z))) (/ y (- y z)))
2.0ms	x	@	-inf	((- x (* (/ z y) x)) (* (/ z y) x) (/ z y) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (+ (* z (/ -1 y)) 1) (* (+ (* z (/ -1 y)) 1) x) (/ -1 y) (/ x (/ y (- y z))) (/ y (- y z)))
2.0ms	x	@	0	((- x (* (/ z y) x)) (* (/ z y) x) (/ z y) (* (/ (- y z) y) x) (/ (- y z) y) (* (/ x y) (- y z)) (/ x y) (- y z) (neg z) (+ (* z (/ -1 y)) 1) (* (+ (* z (/ -1 y)) 1) x) (/ -1 y) (/ x (/ y (- y z))) (/ y (- y z)))

simplify172.0ms (2.1%)

Memory

-11.9MiB live, 203.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 536×	`lower-fma.f64`
10 536×	`lower-fma.f32`
3 816×	`lower-*.f64`
3 816×	`lower-*.f32`
2 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2263
1	465	2103
2	1220	2076
3	4088	2063
0	8400	2050

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 366

Calls

Call 1

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

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

rewrite674.0ms (8.4%)

Memory

-0.3MiB live, 284.7MiB allocated

Rules

5 810×	`lower-fma.f32`
5 808×	`lower-fma.f64`
4 548×	`lower-*.f32`
4 540×	`lower-*.f64`
3 574×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	87
0	34	86
1	128	85
2	821	85
3	7788	85
0	8457	85

Stop Event

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

Counts

14 → 792

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64))) (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 (-.f64 y z) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) x) (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 y z) y))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) x) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64)) (-.f64 (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) (/.f64 z y)))) (-.f64 (-.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 z y)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) x) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 z y))) (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 (.f64 z z) (.f64 y y))) (.f64 (/.f64 (.f64 z z) (.f64 y y)) (/.f64 (.f64 z z) (.f64 y y)))))
(.f64 (/.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (.f64 y y)) x))) (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (/.f64 z y) x) (-.f64 (.f64 (/.f64 z y) x) x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 x x) (/.f64 (.f64 z z) (.f64 y y))) (.f64 (fma.f64 (/.f64 x y) z x) (fma.f64 (/.f64 x y) z x))))) (-.f64 (.f64 x x) (.f64 (fma.f64 (/.f64 x y) z x) (*.f64 (/.f64 z y) x))))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (.f64 x x) (/.f64 (.f64 z z) (.f64 y y))) (.f64 (fma.f64 (/.f64 x y) z x) (fma.f64 (/.f64 x y) z x))) (.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x))))) (fma.f64 (.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x)) (-.f64 (.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (.f64 y y)) x))) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (.f64 y y)) x)))) (-.f64 x (.f64 (/.f64 z y) x)))
(.f64 (.f64 x (-.f64 z y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (fma.f64 (/.f64 x y) z x) (+.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (-.f64 x (.f64 (/.f64 z y) x)) x))
(.f64 (.f64 (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x)) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (*.f64 y y)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x))) (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x)))
(.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (*.f64 y y)) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) z x))))
(.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (*.f64 x x)))))
(.f64 (fma.f64 (/.f64 x y) z x) (/.f64 (-.f64 x (.f64 (/.f64 z y) x)) (fma.f64 (/.f64 x y) z x)))
(.f64 (fma.f64 (/.f64 x y) z x) (.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x))))
(.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x)))
(.f64 (-.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64))))
(.f64 (-.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z y))) x))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (-.f64 y z) x))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)) (/.f64 (-.f64 x (.f64 (/.f64 z y) x)) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x))))
(.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)) (.f64 (-.f64 x (.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (*.f64 x x)))))
(.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y))) (/.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))) x))
(.f64 (-.f64 z y) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 #s(literal 1 binary64) (-.f64 x (.f64 (/.f64 z y) x)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (/.f64 z y) x))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (.f64 y y)) x))) (+.f64 #s(literal 1 binary64) (/.f64 z y))) x)
(/.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (.f64 y y)) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x))) (.f64 (+.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) z x))) (fma.f64 (.f64 (.f64 x x) (/.f64 (.f64 z z) (.f64 y y))) (.f64 (+.f64 (/.f64 (.f64 z z) (.f64 y y)) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)))) (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 z y) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 x x)) x) (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (*.f64 x x) x)))))
(/.f64 (.f64 (.f64 (+.f64 y z) (/.f64 (-.f64 y z) y)) x) (+.f64 y z))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y z) y (.f64 z z)) (/.f64 (-.f64 y z) y)) x) (fma.f64 (+.f64 y z) y (.f64 z z)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y y))) x) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y)) #s(literal -1 binary64)) x) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y (-.f64 z y)) x) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (fma.f64 (/.f64 y z) y (neg.f64 y)) x) (.f64 (/.f64 y z) y))
(/.f64 (.f64 (.f64 y (-.f64 y z)) x) (*.f64 y y))
(/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (*.f64 (+.f64 y z) y))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 y z) y (.f64 z z)) (-.f64 y z)) x) (.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) y))
(/.f64 (*.f64 (-.f64 z y) x) (neg.f64 y))
(/.f64 (.f64 (.f64 x (-.f64 x (.f64 (/.f64 (.f64 z z) (*.f64 y y)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) z x))
(/.f64 (.f64 (fma.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (*.f64 x x)))
(/.f64 (.f64 x (.f64 (+.f64 y z) (/.f64 (-.f64 y z) y))) (+.f64 y z))
(/.f64 (.f64 x (.f64 (fma.f64 (+.f64 y z) y (.f64 z z)) (/.f64 (-.f64 y z) y))) (fma.f64 (+.f64 y z) y (.f64 z z)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 x (neg.f64 (-.f64 (/.f64 (.f64 z z) (*.f64 y y)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 x (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 y y) y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (.f64 x (.f64 y (-.f64 z y))) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 x (fma.f64 (/.f64 y z) y (neg.f64 y))) (.f64 (/.f64 y z) y))
(/.f64 (.f64 x (.f64 y (-.f64 y z))) (*.f64 y y))
(/.f64 (.f64 x (.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (+.f64 y z) y))
(/.f64 (.f64 x (.f64 (fma.f64 (+.f64 y z) y (.f64 z z)) (-.f64 y z))) (.f64 (fma.f64 (+.f64 y z) y (*.f64 z z)) y))
(/.f64 (*.f64 (-.f64 y z) x) y)
(/.f64 (*.f64 x (-.f64 z y)) (neg.f64 y))
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 (/.f64 x y) z x) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 (/.f64 x y) z x) (.f64 y y))))) (fma.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x)) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 (/.f64 x y) z x) (*.f64 y y)))))
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(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 (/.f64 z y) x))
(-.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 (/.f64 x y) z x) (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)) (.f64 (.f64 y y) y))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 z y) x) x))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 x y) z x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 (/.f64 x y) z x) (.f64 y y)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (fma.f64 (/.f64 x y) z x) (.f64 (/.f64 z y) x) (.f64 x x)) (.f64 (.f64 y y) y)))))
(+.f64 (*.f64 (/.f64 (neg.f64 z) y) x) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 #s(approx (- y z) (neg.f64 z))))
(.f64 (.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(approx (- y z) (neg.f64 z)) x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 #s(approx (- y z) (neg.f64 z))))
(.f64 (pow.f64 (/.f64 y (.f64 #s(approx (- y z) (neg.f64 z)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(approx (- y z) (neg.f64 z)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z)))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z)))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 #s(approx (- y z) (neg.f64 z))))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z)))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (- y z) (neg.f64 z)) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (- y z) (neg.f64 z)) x))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)))
(*.f64 (neg.f64 #s(approx (- y z) (neg.f64 z))) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z)))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) (neg.f64 z))))
(*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)))
(*.f64 x (/.f64 #s(approx (- y z) (neg.f64 z)) y))
(pow.f64 (/.f64 y (*.f64 #s(approx (- y z) (neg.f64 z)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z))) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z)))) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 1 binary64)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (- y z) (neg.f64 z)) x)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z)))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z)))) y)
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z))))
(/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z))) (neg.f64 y))
(/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- y z) (neg.f64 z)) x)))
(/.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(/.f64 (neg.f64 #s(approx (- y z) (neg.f64 z))) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))) (/.f64 (neg.f64 y) x)))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z)))))
(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (- y z) (neg.f64 z)) x)))
(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) (neg.f64 z))) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(approx (- y z) (neg.f64 z)) x))))
(neg.f64 (/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) (neg.f64 y)))
(neg.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 (neg.f64 x) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) (neg.f64 z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z)))) (*.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) (neg.f64 z))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(approx (- y z) (neg.f64 z)) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z))) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))) y)
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (- y z) (neg.f64 z))))
(*.f64 (/.f64 y #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- y z) (neg.f64 z))))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64)))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))))
(pow.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y z) (neg.f64 z)))))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (- y z) (neg.f64 z))))
(/.f64 (/.f64 y #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- y z) (neg.f64 z)) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y z) (neg.f64 z)) y))
(/.f64 y #s(approx (- y z) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y z) (neg.f64 z)))) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (- y z) (neg.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y)) #s(literal -1 binary64)))

eval409.0ms (5.1%)

Memory: -6.6MiB live, 377.0MiB allocated
Compiler: Compiled 20 213 to 1 620 computations (92% saved)

prune96.0ms (1.2%)

Memory

24.1MiB live, 260.8MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 226	1	1 227
Fresh	1	2	3
Picked	0	5	5
Done	0	4	4
Total	1 227	12	1 239

Accuracy

100.0%

Counts

1 239 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
✓	83.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	43.1%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	41.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	97.6%	(/.f64 x (/.f64 y (-.f64 y z)))
✓	44.7%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
✓	97.6%	(-.f64 x (*.f64 (/.f64 z y) x))
✓	97.6%	(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
▶	44.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	43.9%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
▶	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	54.4%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 117 to 72 computations (38.5% saved)

simplify54.0ms (0.7%)

Memory

-7.1MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- y z) (neg.f64 z))
cost-diff	0	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
cost-diff	0	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
cost-diff	0	#s(approx (- y z) z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(approx (- y z) z))

Rules

720×	`lower-fma.f32`
718×	`lower-fma.f64`
576×	`lower-*.f32`
570×	`lower-*.f64`
484×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	24	67
1	41	67
2	72	67
3	105	66
4	154	66
5	201	66
6	360	66
7	747	66
8	1371	66
9	1719	66
10	1798	66
11	1845	66
12	1853	66
13	1855	66
0	1855	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.6%)

Memory

11.7MiB live, 90.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 z x)
accuracy	3.646861667157259	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
accuracy	1.5181206057857752	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
accuracy	34.21809082391809	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	10.06969119575535	(*.f64 (/.f64 x y) #s(approx (- y z) z))
accuracy	62.49611414214758	#s(approx (- y z) z)

Samples

39.0ms

256×

valid

Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions

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

ival-mult: 14.0ms (59% of total)

ival-div: 6.0ms (25.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.5%)

Memory

-7.9MiB live, 31.1MiB allocated

Counts

10 → 252

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- y z) z) (patch #s(approx (- y z) z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y z) (neg.f64 z)) y) (patch (/.f64 #s(approx (- y z) (neg.f64 z)) y) #<representation binary64>) () ())
#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z y)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) #s(approx (- y z) z)) (patch (.f64 (/.f64 x y) #s(approx (- y z) z)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (patch (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z y) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x))
2.0ms	x	@	-inf	((* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x))
1.0ms	x	@	inf	((* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x))
1.0ms	z	@	-inf	((* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x))
1.0ms	x	@	0	((* (/ x y) (- y z)) (/ x y) (- y z) (* (/ (- y z) y) x) (/ (- y z) y) (- y z) (neg z) (+ (* (/ -1 y) (* z x)) x) (/ -1 y) (* z x))

simplify459.0ms (5.7%)

Memory

-7.2MiB live, 351.3MiB allocated

Algorithm

1×	egg-herbie

Rules

55 736×	`lower-fma.f64`
55 736×	`lower-fma.f32`
6 288×	`lower-*.f64`
6 288×	`lower-*.f32`
4 310×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	1236
1	153	1128
2	402	1128
3	990	1128
4	2207	1128
5	3804	1128
6	5037	1128
7	5571	1128
8	5749	1128
9	5899	1128
10	5931	1128
11	5979	1128
12	5979	1128
13	6089	1128
14	6089	1128
0	11000	1128

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 237

Calls

Call 1

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

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

rewrite148.0ms (1.9%)

Memory

8.1MiB live, 214.9MiB allocated

Rules

5 344×	`lower-fma.f32`
5 342×	`lower-fma.f64`
4 124×	`lower-*.f32`
4 118×	`lower-*.f64`
1 724×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	24	55
1	84	55
2	499	55
3	5114	52
0	9044	51

Stop Event

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

Counts

10 → 334

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(approx (- y z) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (*.f64 #s(approx (- y z) z) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(approx (- y z) z) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (- y z) z) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y))
(*.f64 (/.f64 (neg.f64 #s(approx (- y z) z)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- y z) z)) y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 #s(approx (- y z) z)))
(*.f64 (/.f64 (neg.f64 #s(approx (- y z) z)) y) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(approx (- y z) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(approx (- y z) z) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (- y z) z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) z))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (- y z) z) x))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (- y z) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 #s(approx (- y z) z)) y))
(*.f64 (neg.f64 #s(approx (- y z) z)) (/.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (- y z) z) y) x))
(*.f64 (/.f64 #s(approx (- y z) z) y) x)
(*.f64 #s(approx (- y z) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- y z) z))))
(*.f64 (/.f64 x y) #s(approx (- y z) z))
(*.f64 x (/.f64 #s(approx (- y z) z) y))
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z)) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(approx (- y z) z) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z))) y)
(/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z)) (neg.f64 y))
(/.f64 (*.f64 #s(approx (- y z) z) x) y)
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) #s(approx (- y z) z)))
(/.f64 (neg.f64 #s(approx (- y z) z)) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (- y z) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x))))
(/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- y z) z) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) #s(approx (- y z) z)))
(/.f64 x (/.f64 y #s(approx (- y z) z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z)) y))
(neg.f64 (/.f64 (*.f64 #s(approx (- y z) z) x) (neg.f64 y)))
(neg.f64 (*.f64 #s(approx (- y z) z) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 #s(approx (- y z) z)) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (- y z) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 #s(approx (- y z) z)) y) x))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 #s(approx (- y z) z) x))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (- y z) z))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y z) z)))
(*.f64 #s(approx (- y z) z) #s(literal 1 binary64))
#s(approx (- y z) z)
(neg.f64 (neg.f64 #s(approx (- y z) z)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y z) z)))
(*.f64 (/.f64 #s(approx (- y z) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (*.f64 #s(approx (- y z) z) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(approx (- y z) z) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (- y z) z) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx (- y z) z) y))
(*.f64 (/.f64 (neg.f64 #s(approx (- y z) z)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- y z) z)) y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 #s(approx (- y z) z)))
(*.f64 (/.f64 (neg.f64 #s(approx (- y z) z)) y) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) #s(approx (- y z) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(approx (- y z) z) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (- y z) z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- y z) z))))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(approx (- y z) z) x))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (- y z) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 #s(approx (- y z) z)) y))
(*.f64 (neg.f64 #s(approx (- y z) z)) (/.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(approx (- y z) z) y) x))
(*.f64 (/.f64 #s(approx (- y z) z) y) x)
(*.f64 #s(approx (- y z) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- y z) z))))
(*.f64 (/.f64 x y) #s(approx (- y z) z))
(*.f64 x (/.f64 #s(approx (- y z) z) y))
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z)) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 #s(approx (- y z) z) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(approx (- y z) z) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z))) y)
(/.f64 (*.f64 (neg.f64 x) #s(approx (- y z) z)) (neg.f64 y))
(/.f64 (*.f64 #s(approx (- y z) z) x) y)
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) #s(approx (- y z) z)))
(/.f64 (neg.f64 #s(approx (- y z) z)) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (- y z) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (- y z) z) x))))
(/.f64 (/.f64 #s(approx (- y z) z) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- y z) z) (/.f64 y x))
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(/.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 x) x) x)) (neg.f64 (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) (pow.f64 (.f64 z (/.f64 x y)) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 x x)) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 z z) z))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 (.f64 x (/.f64 (.f64 z z) (.f64 y y))) x)) (neg.f64 (fma.f64 z (/.f64 x y) x)))
(/.f64 (.f64 x (-.f64 (.f64 x (/.f64 (.f64 z z) (.f64 y y))) x)) (fma.f64 z (/.f64 x y) (neg.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 x y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 x y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 x y) x))))
(neg.f64 (/.f64 (.f64 x (fma.f64 (/.f64 (.f64 z x) (*.f64 y y)) z x)) (fma.f64 z (/.f64 x y) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (*.f64 x x)))))
(neg.f64 (fma.f64 z (/.f64 x y) (neg.f64 x)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z (/.f64 x y)) x)
(fma.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))) z x)
(fma.f64 (exp.f64 (log.f64 (/.f64 z y))) x x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z x))) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z x))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 z x) (.f64 y y)) x) z) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 x) x) x))) (fma.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 (.f64 (/.f64 (.f64 z x) (.f64 y y)) x) z) (.f64 x (-.f64 (.f64 x (/.f64 (.f64 z z) (.f64 y y))) x))) (fma.f64 z (/.f64 x y) x) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 (*.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y) x)
(fma.f64 (.f64 (.f64 (.f64 z (/.f64 x y)) x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 z x) (.f64 y y)) (/.f64 (.f64 z x) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 (neg.f64 x) y) z x)
(fma.f64 (.f64 x (/.f64 (.f64 z z) (.f64 y y))) (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 z z) (.f64 y y)) (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x)))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (.f64 (.f64 (.f64 z x) z) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 z y) (/.f64 (.f64 (.f64 z (/.f64 x y)) x) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 z y) (/.f64 x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(fma.f64 (/.f64 z y) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 z x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x) x)
(fma.f64 (.f64 (.f64 (/.f64 (.f64 z x) (.f64 y y)) x) z) (/.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 x y) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (/.f64 x y)))
(fma.f64 (.f64 z (/.f64 x y)) (/.f64 (.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (*.f64 z (/.f64 x y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 z (/.f64 x y)) #s(literal -1 binary64) x)
(fma.f64 (.f64 z x) (/.f64 (/.f64 (.f64 z x) (.f64 y y)) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (exp.f64 (log.f64 (*.f64 z x))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (.f64 (.f64 z (/.f64 x y)) x) z) (fma.f64 z (/.f64 x y) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 z (/.f64 x y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y)) x)
(fma.f64 z (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))) x)
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(fma.f64 z (/.f64 x y) x)
(fma.f64 (/.f64 x y) (/.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 x y) z x)
(fma.f64 x (exp.f64 (log.f64 (/.f64 z y))) x)
(fma.f64 x (/.f64 z y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 z (/.f64 x y)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 z (/.f64 x y) x)) (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 y y))) (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 x y) (neg.f64 x)))
(-.f64 x (*.f64 z (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 x y) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z x) z) x) (.f64 (fma.f64 z (/.f64 x y) (neg.f64 x)) (.f64 y y))) (neg.f64 (.f64 x (/.f64 x (fma.f64 z (/.f64 x y) (neg.f64 x))))))
(+.f64 (*.f64 z (/.f64 x y)) x)
(+.f64 x (*.f64 z (/.f64 x y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (neg.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (neg.f64 (log.f64 (neg.f64 y))))
(*.f64 (neg.f64 x) z)
(.f64 #s(literal 1 binary64) (.f64 z x))
(.f64 (.f64 z x) #s(literal 1 binary64))
(.f64 (.f64 z x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 z x)
(*.f64 x z)
(/.f64 (.f64 (.f64 z z) x) z)
(/.f64 (.f64 (.f64 (.f64 z z) z) x) (.f64 z z))
(neg.f64 (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 z x))

eval116.0ms (1.5%)

Memory: -11.3MiB live, 99.5MiB allocated
Compiler: Compiled 7 230 to 648 computations (91% saved)

prune125.0ms (1.6%)

Memory

6.2MiB live, 175.9MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	571	0	571
Fresh	0	0	0
Picked	0	3	3
Done	0	9	9
Total	571	12	583

Accuracy

100.0%

Counts

583 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.3%	(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
✓	83.0%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	43.1%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	41.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	97.6%	(/.f64 x (/.f64 y (-.f64 y z)))
✓	44.7%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
✓	97.6%	(-.f64 x (*.f64 (/.f64 z y) x))
✓	97.6%	(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)
✓	44.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	43.9%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	54.4%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 247 to 113 computations (54.3% saved)

regimes25.0ms (0.3%)

Memory

-1.2MiB live, 45.2MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
6.0ms	y
5.0ms	x
5.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`
97.6%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes21.0ms (0.3%)

Memory

-11.7MiB live, 26.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
4.0ms	x
4.0ms	z
3.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`
97.6%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes14.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(*.f64 (/.f64 x y) (-.f64 y z))

Calls

4 calls:

3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
94.3%	1	`x`
94.3%	1	`y`
94.3%	1	`z`
96.5%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes23.0ms (0.3%)

Memory

-25.4MiB live, 12.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))

Calls

2 calls:

19.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
3.0ms	z

Results

Accuracy	Segments	Branch
94.3%	1	`z`
94.3%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes12.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
76.0%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`
65.9%	6	`x`
75.0%	3	`y`
75.5%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

-19.2MiB live, 17.6MiB allocated

Accuracy

Total -33.2b remaining (-113.5%)

Threshold costs -33.2b (-113.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`y`
54.4%	1	`z`
54.4%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2754878558415964e+301	+inf

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.289549157341537e-243	-0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
20×	`+-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	103
1	56	103
2	77	103
3	94	103
4	103	103
5	106	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 z x) y))) (.f64 (/.f64 x y) (-.f64 y z)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal -7687697232696013/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744 binary64)) #s(approx (/ ( x (- y z)) y) (.f64 (/.f64 (neg.f64 z) y) x)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Outputs
(-.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 z x) y))) (.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 z x) y))) (.f64 (/.f64 x y) (-.f64 y z)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 z x) y)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal -7687697232696013/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744 binary64)) #s(approx (/ ( x (- y z)) y) (.f64 (/.f64 (neg.f64 z) y) x)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal -7687697232696013/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744 binary64)) #s(approx (/ ( x (- y z)) y) (.f64 (/.f64 (neg.f64 z) y) x)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

soundness1.1s (14.2%)

Memory

-8.9MiB live, 399.4MiB allocated

Rules

7 318×	`lower-fma.f64`
7 318×	`lower-fma.f32`
5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 046×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	585
1	174	465
2	493	465
3	1303	465
4	2739	465
5	4443	465
6	5818	465
7	6239	465
8	6355	465
9	6423	465
10	7298	465
11	7590	465
0	8001	465
0	163	2545
1	481	2187
2	1335	2160
3	4467	2153
0	8228	2140
0	19	86
0	32	86
1	92	86
2	517	86
3	5364	82
0	9014	79
0	6	15
0	9	15
1	35	15
2	223	15
3	2306	15
0	9060	15

Stop Event

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

Compiler

Compiled 201 to 95 computations (52.7% saved)

preprocess97.0ms (1.2%)

Memory: 12.7MiB live, 130.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 254 to 112 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze32.0ms (0.4%)

sample924.0ms (11.6%)

explain81.0ms (1%)

preprocess337.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify213.0ms (2.7%)

localize17.0ms (0.2%)

series25.0ms (0.3%)

simplify170.0ms (2.1%)

rewrite343.0ms (4.3%)

eval136.0ms (1.7%)

prune93.0ms (1.2%)

simplify101.0ms (1.3%)

localize86.0ms (1.1%)

series22.0ms (0.3%)

simplify127.0ms (1.6%)

rewrite191.0ms (2.4%)

eval290.0ms (3.6%)

prune501.0ms (6.3%)

simplify543.0ms (6.8%)

localize57.0ms (0.7%)

series27.0ms (0.3%)

simplify172.0ms (2.1%)

rewrite674.0ms (8.4%)

eval409.0ms (5.1%)

prune96.0ms (1.2%)

simplify54.0ms (0.7%)

localize48.0ms (0.6%)

series36.0ms (0.5%)

simplify459.0ms (5.7%)

rewrite148.0ms (1.9%)

eval116.0ms (1.5%)

prune125.0ms (1.6%)

regimes25.0ms (0.3%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes23.0ms (0.3%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (14.2%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling