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

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze30.0ms (0.3%)

Memory

26.5MiB live, 62.6MiB 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)

sample1.2s (13.9%)

Memory

2.1MiB live, 905.8MiB allocated

Samples

958.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-mult: 173.0ms (39.3% of total)

ival-sub: 161.0ms (36.6% of total)

ival-div: 98.0ms (22.2% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain66.0ms (0.8%)

Memory

21.7MiB live, 177.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
42	-	-	`(/.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	38	0
↳	`(*.f64 x (-.f64 y z))`	overflow	57
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	u/n	4	0
↳	`(*.f64 x (-.f64 y z))`	underflow	4

Confusion

	Predicted +	Predicted -
+	42	0
-	0	214

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	0
-	0	0	214

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.6% of total)

ival-div: 3.0ms (26% of total)

ival-mult: 3.0ms (26% of total)

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

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

preprocess383.0ms (4.4%)

Memory

-5.9MiB live, 210.6MiB 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 x (/.f64 (*.f64 x z) y))

Symmetry

(negabs x)

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify421.0ms (4.8%)

Memory

-14.3MiB live, 174.6MiB 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 x (/.f64 (*.f64 x z) y))
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z

localize40.0ms (0.5%)

Memory

4.9MiB live, 52.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(*.f64 x (-.f64 y z))
accuracy	9.979683833534292	(/.f64 (*.f64 x (-.f64 y z)) y)

Samples

34.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 6.0ms (63.7% of total)

ival-sub: 2.0ms (21.2% of total)

ival-div: 2.0ms (21.2% of total)

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

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

series8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB 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 (- 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)) 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)) 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 (* -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 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 (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 (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 (* -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) 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 (* 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)) (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)) (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 (* -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 (* 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 (* 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 (* 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 (* -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 (* 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 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 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 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 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 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 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>) () ())) ())

Calls

24 calls:

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

simplify203.0ms (2.3%)

Memory

0.2MiB live, 109.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 842×	`lower-fma.f64`
3 842×	`lower-fma.f32`
2 850×	`lower-*.f64`
2 850×	`lower-*.f32`
1 404×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	465
1	174	465
2	493	465
3	1300	465
4	2754	465
5	4446	465
6	5827	465
7	6254	465
8	6368	465
9	6436	465
10	7288	465
11	7580	465
12	7995	465
0	8019	465

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

rewrite331.0ms (3.8%)

Memory

2.4MiB live, 486.3MiB 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 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (neg.f64 z))))
(+.f64 (.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (-.f64 y z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 y z)) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 y z)) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 (*.f64 x (-.f64 y z)) y)))
(-.f64 (/.f64 y (/.f64 y x)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (-.f64 z y) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 y x)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 y x)))
(-.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y z))) (/.f64 y x)) (/.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 y x)))
(-.f64 (/.f64 (+.f64 y #s(literal 0 binary64)) (/.f64 y x)) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 y z)) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (neg.f64 y)) (/.f64 (.f64 x (neg.f64 z)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 z))))
(fma.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) y) (.f64 (*.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 y z)) y)))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 y z)) y))))
(/.f64 x (/.f64 y (-.f64 y z)))
(/.f64 (-.f64 y z) (/.f64 y x))
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (/.f64 (*.f64 x (-.f64 y z)) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (-.f64 y z))) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y z)) (.f64 (+.f64 y z) (*.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y) (.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) y) (.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (+.f64 y z)) y) (.f64 (*.f64 (neg.f64 (+.f64 y z)) (-.f64 y z)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (neg.f64 y)) (.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y z)) (.f64 (.f64 (+.f64 y z) (.f64 x (-.f64 y z))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y z) (neg.f64 y)) (.f64 (.f64 (+.f64 y z) (.f64 x (-.f64 y z))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 y z)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 y z) (.f64 x (-.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) (+.f64 y z)) (.f64 #s(literal -1 binary64) (.f64 (+.f64 y z) (.f64 x (-.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 y z)) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (neg.f64 (.f64 x (-.f64 y z))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (+.f64 y z) (*.f64 x (-.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (*.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (.f64 (.f64 (-.f64 y z) (+.f64 y z)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y)))) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 y z)) (.f64 (.f64 (neg.f64 (+.f64 y z)) (-.f64 y z)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (.f64 x (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (.f64 (.f64 (+.f64 y z) (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) y))))
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(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) y) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) #s(literal 1 binary64))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z)))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) (fma.f64 y (+.f64 y z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z)))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 z (.f64 z z)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (fma.f64 y (+.f64 y z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y (.f64 y y))) (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 z (.f64 z z)))) (.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (/.f64 (+.f64 y z) (.f64 z z))) (+.f64 y z)) (.f64 (+.f64 y z) (/.f64 (+.f64 y z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 y y) (neg.f64 (+.f64 y z))) (.f64 (+.f64 y z) (neg.f64 (.f64 z z)))) (*.f64 (+.f64 y z) (neg.f64 (+.f64 y z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 y z)) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) (.f64 z z))) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) (+.f64 y z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) (/.f64 (+.f64 y z) (*.f64 z z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) (neg.f64 (.f64 z z)))) (.f64 (/.f64 (+.f64 y z) (.f64 y y)) (neg.f64 (+.f64 y z))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (+.f64 y z)) (.f64 (neg.f64 (+.f64 y z)) (.f64 z z))) (*.f64 (neg.f64 (+.f64 y z)) (+.f64 y z)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (/.f64 (+.f64 y z) (.f64 z z))) (.f64 (neg.f64 (+.f64 y z)) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 y z)) (/.f64 (+.f64 y z) (.f64 z z))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (+.f64 y z))) (.f64 (neg.f64 (+.f64 y z)) (neg.f64 (.f64 z z)))) (*.f64 (neg.f64 (+.f64 y z)) (neg.f64 (+.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y (+.f64 y z) (.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y z)) (-.f64 y z)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y z)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y z) (+.f64 y z)) #s(literal 1 binary64))) (neg.f64 (+.f64 y z)))
(/.f64 (neg.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 y y))) (neg.f64 (-.f64 (neg.f64 z) y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 z (.f64 z z))))) (neg.f64 (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y z)) (.f64 (+.f64 y z) (.f64 z z)))) (neg.f64 (*.f64 (+.f64 y z) (+.f64 y z))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y z) (.f64 z z)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z z) (fma.f64 z z (.f64 y y)))) (+.f64 y z))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 y z) (+.f64 y z))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 y z))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))))))) (neg.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (fma.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 y z) (.f64 (+.f64 y z) (+.f64 y z)))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (+.f64 y z) (.f64 (+.f64 y z) (+.f64 y z)))))) (neg.f64 (fma.f64 (.f64 y (/.f64 y (+.f64 y z))) (.f64 y (/.f64 y (+.f64 y z))) (fma.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z)) (.f64 (.f64 y (/.f64 y (+.f64 y z))) (/.f64 (*.f64 z z) (+.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z)))) (.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 y y) (/.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (/.f64 y (+.f64 y z))) (.f64 y (/.f64 y (+.f64 y z)))) (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z))))) (neg.f64 (fma.f64 y (/.f64 y (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z))))) (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z))))) (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 y z) (+.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) (neg.f64 (fma.f64 z z (*.f64 y y))))
(/.f64 (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z)))) (pow.f64 (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 y z) (.f64 (+.f64 y z) (+.f64 y z)))) (pow.f64 (neg.f64 (/.f64 (.f64 z z) (+.f64 y z))) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 y (+.f64 y z))) (.f64 y (/.f64 y (+.f64 y z))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 z z) (+.f64 y z))) (neg.f64 (/.f64 (.f64 z z) (+.f64 y z)))) (.f64 (.f64 y (/.f64 y (+.f64 y z))) (neg.f64 (/.f64 (.f64 z z) (+.f64 y z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 z y) (-.f64 z y) (*.f64 #s(literal 0 binary64) (-.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (fma.f64 (+.f64 y #s(literal 0 binary64)) (+.f64 y #s(literal 0 binary64)) (fma.f64 z z (*.f64 (+.f64 y #s(literal 0 binary64)) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (/.f64 (-.f64 y z) (fma.f64 y (+.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z)))))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(.f64 (.f64 (-.f64 y z) (+.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 y z) (/.f64 (-.f64 y z) (+.f64 y z)))
(.f64 (+.f64 y z) (.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(.f64 (.f64 (neg.f64 (+.f64 y z)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (.f64 z z))) (fma.f64 z (.f64 z z) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (.f64 (-.f64 y z) (+.f64 y z)))
(.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 y z)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 y z)) (*.f64 (-.f64 y z) (+.f64 y z))) (-.f64 y z))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 z (+.f64 y z)) (.f64 (.f64 z (+.f64 y z)) (.f64 z (+.f64 y z)))))) (fma.f64 (.f64 z (+.f64 y z)) (-.f64 (.f64 z (+.f64 y z)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (-.f64 (.f64 y y) (.f64 z (+.f64 y z))))) (-.f64 (.f64 y y) (.f64 z (+.f64 y z))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y z) (.f64 z z)) (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 y z) (.f64 (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z z) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 z z) (fma.f64 z z (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 y z) (.f64 (fma.f64 z z (.f64 y y)) (.f64 (-.f64 y z) (+.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y y))))

eval97.0ms (1.1%)

Memory: -19.5MiB live, 101.3MiB allocated
Compiler: Compiled 13 152 to 1 526 computations (88.4% saved)

prune126.0ms (1.5%)

Memory

-3.8MiB live, 151.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	502	6	508
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	503	6	509

Accuracy

100.0%

Counts

509 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(/.f64 (-.f64 y z) (/.f64 y x))
▶	44.3%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	43.5%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
▶	96.6%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	85.4%	(*.f64 (/.f64 x y) (-.f64 y z))
	85.2%	(.f64 (-.f64 y z) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 124 to 76 computations (38.7% saved)

simplify157.0ms (1.8%)

Memory

20.4MiB live, 227.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

3 448×	`lower-fma.f64`
3 448×	`lower-fma.f32`
2 840×	`lower-*.f32`
2 832×	`lower-*.f64`
1 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	104
0	32	104
1	52	104
2	76	104
3	152	104
4	355	104
5	1012	104
6	3374	104
7	5030	104
8	7598	104
0	8084	104

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

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

localize81.0ms (0.9%)

Memory

-35.6MiB live, 89.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(-.f64 y z)
accuracy	9.419044908413051	(/.f64 (-.f64 y z) (/.f64 y x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 y z)
accuracy	9.353226219442023	(*.f64 (/.f64 x y) (-.f64 y z))
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	9.979683833534292	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
accuracy	33.09431073868785	#s(approx (- y z) (neg.f64 z))
accuracy	0	(*.f64 x y)
accuracy	9.979683833534292	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
accuracy	28.295808744414554	#s(approx (* x (- y z)) (*.f64 x y))
accuracy	0	(-.f64 y z)
accuracy	0.00390625	(/.f64 (-.f64 y z) y)
accuracy	2.1950314347608404	(*.f64 (/.f64 (-.f64 y z) y) x)

Samples

53.0ms

256×

valid

Compiler

Compiled 89 to 16 computations (82% saved)

Precisions

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

ival-mult: 9.0ms (45.1% of total)

ival-div: 8.0ms (40.1% of total)

ival-sub: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

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

series16.0ms (0.2%)

Memory

37.6MiB live, 37.6MiB 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 x y)) y) (patch (/.f64 #s(approx ( x (- y z)) (*.f64 x y)) y) #<representation binary64>) () ())
#s(alt #s(approx (* x (- y z)) (.f64 x y)) (patch #s(approx ( x (- y z)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<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 (-.f64 y z) (/.f64 y x)) (patch (/.f64 (-.f64 y z) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

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

Calls

102 calls:

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

simplify254.0ms (2.9%)

Memory

2.3MiB live, 193.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 464×	`lower-/.f32`
3 464×	`lower-/.f64`
3 092×	`associate-/r*`
2 688×	`lower-fma.f64`
2 688×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	2418
1	192	1968
2	547	1968
3	1456	1968
4	2683	1968
5	4280	1968
6	4700	1968
7	4927	1968
8	5077	1968
9	5121	1968
10	6013	1968
11	6429	1968
12	6531	1968
13	6631	1968
14	6740	1968
15	6740	1968
16	6760	1968
17	6760	1968
0	8487	1968

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 387

Calls

Call 1

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

rewrite241.0ms (2.8%)

Memory

0.6MiB live, 315.6MiB allocated

Rules

3 530×	`lower-*.f32`
3 522×	`lower-*.f64`
3 012×	`lower-/.f32`
3 000×	`lower-/.f64`
1 608×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	32	84
1	95	84
2	559	84
3	6486	80
0	8748	77

Stop Event

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

Counts

14 → 1 439

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

Outputs
(+.f64 x (/.f64 (*.f64 z x) y))
(+.f64 x (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 z x) y) x)
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (+.f64 y z) x))) #s(literal -1 binary64)))
(-.f64 x (/.f64 (*.f64 z x) y))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 y x)) (/.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (+.f64 y z) (.f64 z z))) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (+.f64 y z)) (/.f64 y x)) (/.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 y x)))
(-.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) x)) (/.f64 (.f64 z (.f64 z z)) (/.f64 (.f64 y (fma.f64 y (+.f64 y z) (.f64 z z))) x)))
(-.f64 (/.f64 (.f64 y y) (/.f64 (.f64 y (+.f64 y z)) x)) (/.f64 (.f64 z z) (/.f64 (.f64 y (+.f64 y z)) x)))
(-.f64 (/.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 y y) (.f64 x x))) (/.f64 (/.f64 (.f64 y z) x) (/.f64 (.f64 y y) (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 (.f64 z x) y) (fma.f64 z (/.f64 x y) x) (.f64 x x))) (/.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (.f64 z x) y) (fma.f64 z (/.f64 x y) x) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 z (/.f64 x y) x)) (/.f64 (.f64 (/.f64 (.f64 z z) (.f64 y y)) (*.f64 x x)) (fma.f64 z (/.f64 x y) x)))
(fma.f64 y (/.f64 x y) (/.f64 (*.f64 z x) y))
(fma.f64 y (/.f64 x y) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 z (/.f64 x y) x)
(fma.f64 z (/.f64 x (neg.f64 y)) x)
(fma.f64 x (/.f64 z y) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 z x) y))
(fma.f64 x #s(literal 1 binary64) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (.f64 z x) y))
(fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y) (.f64 (/.f64 (*.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z x) y))
(fma.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 (*.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) y (/.f64 (*.f64 z x) y))
(fma.f64 (/.f64 x y) y (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) z x)
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 z x) y))
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 y)) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (/.f64 (*.f64 z x) y))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 (.f64 z x) y))
(fma.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) y) (.f64 (/.f64 (*.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) z) x)
(fma.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64) x)
(fma.f64 (/.f64 z y) x x)
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(fma.f64 (/.f64 z y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 z x) y))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y x) (/.f64 (.f64 z x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y x) (.f64 (/.f64 (*.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 z x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (*.f64 z x) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z x) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 y (neg.f64 x))) (/.f64 (*.f64 z x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 y (/.f64 y (neg.f64 x))) (.f64 (/.f64 (.f64 z x) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) y) (/.f64 (.f64 z x) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) y) (.f64 (/.f64 (*.f64 z x) y) #s(literal 1 binary64)))
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eval501.0ms (5.8%)

Memory: -4.5MiB live, 342.8MiB allocated
Compiler: Compiled 33 705 to 2 057 computations (93.9% saved)

prune518.0ms (5.9%)

Memory

-8.4MiB live, 357.6MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	2 068	6	2 074
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	2 070	10	2 080

Accuracy

100.0%

Counts

2 080 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.3%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
	46.6%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
✓	43.5%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
✓	96.6%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	45.4%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	85.4%	(*.f64 (/.f64 x y) (-.f64 y z))
▶	46.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
▶	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
▶	85.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))
▶	53.8%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 155 to 95 computations (38.7% saved)

simplify142.0ms (1.6%)

Memory

21.9MiB live, 213.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 #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	(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) z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(approx (- y z) 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 y z)
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

3 132×	`lower-fma.f64`
3 132×	`lower-fma.f32`
3 018×	`lower-*.f32`
3 006×	`lower-*.f64`
2 222×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	31	119
1	56	111
2	102	111
3	275	111
4	523	111
5	1103	111
6	2968	111
7	5005	111
8	7336	111
0	8026	111

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (0.6%)

Memory

2.7MiB live, 126.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
accuracy	2.1950314347608404	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
accuracy	33.09431073868784	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	9.353226219442023	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
accuracy	33.09431073868784	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	9.353226219442023	(*.f64 (/.f64 x y) #s(approx (- y z) z))
accuracy	62.728528326612356	#s(approx (- y z) z)
accuracy	2.1950314347608404	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
accuracy	29.70896006614083	#s(approx (/ (- y z) y) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0	(-.f64 y z)
accuracy	0.2265625	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy	9.353226219442023	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))

Samples

32.0ms

256×

valid

Compiler

Compiled 94 to 15 computations (84% saved)

Precisions

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

ival-mult: 6.0ms (43.2% of total)

ival-div: 5.0ms (36% of total)

ival-sub: 1.0ms (7.2% of total)

ival-neg: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-10.0MiB live, 26.9MiB allocated

Counts

14 → 372

Calls

Call 1

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

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

Calls

93 calls:

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

simplify1.1s (12.1%)

Memory

11.1MiB live, 817.6MiB allocated

Algorithm

1×	egg-herbie

Rules

54 872×	`lower-fma.f64`
54 872×	`lower-fma.f32`
6 192×	`lower-*.f64`
6 192×	`lower-*.f32`
4 080×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	2208
1	138	1758
2	369	1758
3	955	1758
4	2202	1758
5	3798	1758
6	5036	1758
7	5578	1758
8	5752	1758
9	5894	1758
10	5926	1758
11	5974	1758
12	5974	1758
13	6080	1758
14	6080	1758
0	10869	1758

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 348

Calls

Call 1

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

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

rewrite204.0ms (2.3%)

Memory

-15.1MiB live, 267.4MiB allocated

Rules

3 526×	`lower-*.f32`
3 516×	`lower-*.f64`
2 614×	`lower-/.f32`
2 608×	`lower-/.f64`
2 096×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	31	82
1	94	82
2	521	82
3	5239	80
0	8960	79

Stop Event

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

Counts

14 → 640

Calls

Call 1

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

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

eval155.0ms (1.8%)

Memory: 4.5MiB live, 287.8MiB allocated
Compiler: Compiled 13 417 to 1 270 computations (90.5% saved)

prune114.0ms (1.3%)

Memory

7.2MiB live, 277.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 110	1	1 111
Fresh	0	1	1
Picked	1	4	5
Done	1	3	4
Total	1 112	9	1 121

Accuracy

100.0%

Counts

1 121 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.3%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	46.6%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
✓	43.5%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
▶	96.6%	(-.f64 x (*.f64 x (/.f64 z y)))
✓	96.6%	(*.f64 (/.f64 (-.f64 y z) y) x)
✓	45.4%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	46.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	53.8%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 85 to 51 computations (40% saved)

simplify70.0ms (0.8%)

Memory

10.0MiB live, 52.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1 146×	`times-frac`
624×	`lower-fma.f64`
624×	`lower-fma.f32`
480×	`lower-*.f32`
478×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	17	42
1	32	42
2	58	42
3	96	42
4	171	42
5	285	42
6	402	42
7	843	42
8	1774	42
9	2210	42
10	2404	42
11	2472	42
12	2488	42
13	2489	42
14	2489	42
0	2489	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

-6.1MiB live, 68.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	9.419044908413051	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
accuracy	33.09431073868785	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 z y)
accuracy	0	(-.f64 x (*.f64 x (/.f64 z y)))
accuracy	5.734566888700918	(*.f64 x (/.f64 z y))

Samples

23.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (57.3% of total)

ival-sub: 2.0ms (16.4% of total)

ival-mult: 2.0ms (16.4% of total)

ival-neg: 1.0ms (8.2% of total)

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

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

series11.0ms (0.1%)

Memory

-16.1MiB live, 22.0MiB allocated

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

simplify315.0ms (3.6%)

Memory

-0.1MiB live, 371.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 520×	`lower-fma.f64`
18 520×	`lower-fma.f32`
2 908×	`lower-+.f64`
2 908×	`lower-+.f32`
2 378×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	873
1	159	873
2	378	873
3	955	873
4	2238	873
5	3474	873
6	4483	873
7	5005	873
8	5233	873
9	5369	873
10	7391	873
0	8008	873

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 183

Calls

Call 1

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

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

rewrite324.0ms (3.7%)

Memory

26.4MiB live, 297.8MiB allocated

Rules

3 338×	`lower-*.f32`
3 336×	`lower-*.f64`
3 134×	`lower-fma.f64`
3 134×	`lower-fma.f32`
2 044×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
0	17	36
1	76	36
2	506	36
3	5518	33
0	8884	32

Stop Event

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

Counts

7 → 321

Calls

Call 1

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

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

eval57.0ms (0.7%)

Memory: -17.7MiB live, 99.7MiB allocated
Compiler: Compiled 7 532 to 727 computations (90.3% saved)

prune102.0ms (1.2%)

Memory

-4.4MiB live, 171.5MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	504	0	504
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	504	9	513

Accuracy

100.0%

Counts

513 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.3%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	46.6%	(/.f64 #s(approx (- y z) (neg.f64 z)) (/.f64 y x))
✓	43.5%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
✓	96.6%	(-.f64 x (*.f64 x (/.f64 z y)))
✓	96.6%	(*.f64 (/.f64 (-.f64 y z) y) x)
✓	45.4%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	46.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	53.8%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 186 to 86 computations (53.8% saved)

regimes20.0ms (0.2%)

Memory

-0.1MiB live, 38.0MiB allocated

Counts

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

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

Calls

4 calls:

5.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
98.4%	2	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes17.0ms (0.2%)

Memory

-11.8MiB live, 28.1MiB allocated

Counts

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

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

Calls

4 calls:

6.0ms	z
4.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`
96.6%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB 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 x y)) y)
(*.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)
(*.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:

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

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`z`
96.6%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.1%)

Memory

-18.0MiB live, 20.8MiB allocated

Counts

7 → 3

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.4%	1	`x`
93.1%	3	`y`
88.8%	3	`z`
95.1%	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.3%	3	`x`
79.1%	3	`z`
77.1%	3	`y`
78.0%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes35.0ms (0.4%)

Memory

-24.6MiB live, 14.3MiB allocated

Accuracy

Total -32.8b remaining (-111.1%)

Threshold costs -32.8b (-111.1%)

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 x y)) y)

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

Calls

4 calls:

29.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`y`
53.8%	1	`z`
53.8%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch8.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	8.761673132448622e-110	4.0023048512089786e-109

Samples

4.0ms

96×

valid

Compiler

Compiled 145 to 96 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (52.3% of total)

ival-div: 1.0ms (52.3% of total)

ival-mult: 1.0ms (52.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.7454144901372605e-47	9.712476495958648e-39
0.0ms	0.0	4.448481946202473e-306

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.8046980553612925e-185	0.0

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify9.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	113
1	50	113
2	63	113
3	73	113
4	79	113
5	82	113
6	83	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 6980751030425025/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (.f64 x (/.f64 z y))))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal -3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 x #s(literal 6980751030425025/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (/.f64 (.f64 x (-.f64 y z)) y) (-.f64 x (.f64 x (/.f64 z y))))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 x (/.f64 (-.f64 y z) y))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) (-.f64 y z)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) (-.f64 y z))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 0 binary64)) (.f64 (-.f64 y z) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 5142201741628769/51422017416287688817342786954917203280710495801049370729644032 binary64)) (.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) (*.f64 (-.f64 y z) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal -3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal -3827252586451049/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))

soundness1.1s (12.2%)

Memory

-9.0MiB live, 390.5MiB allocated

Rules

5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 046×	`lower-fma.f64`
4 046×	`lower-fma.f32`
3 530×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	32	84
1	95	84
2	559	84
3	6486	80
0	8748	77
0	62	2418
1	192	1968
2	547	1968
3	1456	1968
4	2683	1968
5	4280	1968
6	4700	1968
7	4927	1968
8	5077	1968
9	5121	1968
10	6013	1968
11	6429	1968
12	6531	1968
13	6631	1968
14	6740	1968
15	6740	1968
16	6760	1968
17	6760	1968
0	8487	1968
0	20	89
0	31	82
1	94	82
2	521	82
3	5239	80
0	8960	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
1×	iter limit

Compiler

Compiled 299 to 134 computations (55.2% saved)

preprocess186.0ms (2.1%)

Memory: 10.4MiB live, 166.4MiB allocated
Compiler: Compiled 406 to 176 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze30.0ms (0.3%)

sample1.2s (13.9%)

explain66.0ms (0.8%)

preprocess383.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify421.0ms (4.8%)

localize40.0ms (0.5%)

series8.0ms (0.1%)

simplify203.0ms (2.3%)

rewrite331.0ms (3.8%)

eval97.0ms (1.1%)

prune126.0ms (1.5%)

simplify157.0ms (1.8%)

localize81.0ms (0.9%)

series16.0ms (0.2%)

simplify254.0ms (2.9%)

rewrite241.0ms (2.8%)

eval501.0ms (5.8%)

prune518.0ms (5.9%)

simplify142.0ms (1.6%)

localize55.0ms (0.6%)

series13.0ms (0.2%)

simplify1.1s (12.1%)

rewrite204.0ms (2.3%)

eval155.0ms (1.8%)

prune114.0ms (1.3%)

simplify70.0ms (0.8%)

localize34.0ms (0.4%)

series11.0ms (0.1%)

simplify315.0ms (3.6%)

rewrite324.0ms (3.7%)

eval57.0ms (0.7%)

prune102.0ms (1.2%)

regimes20.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes35.0ms (0.4%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.1s (12.2%)

preprocess186.0ms (2.1%)

end0.0ms (0%)

Profiling