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

analyze28.0ms (0.3%)

Memory

19.5MiB live, 58.9MiB 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)

sample676.0ms (7.5%)

Memory

-11.9MiB live, 1 071.4MiB allocated

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-sub: 90.0ms (42.3% of total)

ival-div: 61.0ms (28.7% of total)

ival-mult: 54.0ms (25.4% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess492.0ms (5.5%)

Memory

19.6MiB live, 293.6MiB 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)

explain100.0ms (1.1%)

Memory

-12.8MiB live, 109.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	3	(5.465223625594877e-303 8.509173245109003e-25 -5.349013522017556e-10)	`(/.f64 (*.f64 x (-.f64 y z)) y)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 y z)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (-.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	o/n	29	0
↳	`(*.f64 x (-.f64 y z))`	overflow	55
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	u/n	9	0
↳	`(*.f64 x (-.f64 y z))`	underflow	9

Confusion

	Predicted +	Predicted -
+	38	3
-	0	215

Precision

1.0

Recall

0.926829268292683

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	3
-	0	0	215

Precision?

1.0

Recall?

0.926829268292683

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

68.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-mult: 5.0ms (43.3% of total)

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

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 10 to 6 computations (40% saved)

simplify285.0ms (3.2%)

Memory

-10.0MiB live, 238.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize38.0ms (0.4%)

Memory

-22.7MiB live, 16.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)

Samples

32.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (39.4% of total)

ival-div: 2.0ms (39.4% of total)

ival-mult: 2.0ms (39.4% of total)

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

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

series8.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB 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)

simplify237.0ms (2.6%)

Memory

37.9MiB live, 268.5MiB 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)

rewrite349.0ms (3.9%)

Memory

2.9MiB live, 672.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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))))
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(/.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))
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(*.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)))
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(.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)))))
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(.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))))

eval96.0ms (1.1%)

Memory: -12.7MiB live, 158.7MiB allocated
Compiler: Compiled 13 152 to 1 526 computations (88.4% saved)

prune120.0ms (1.3%)

Memory

-3.4MiB live, 192.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	501	7	508
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	501	8	509

Accuracy

100.0%

Counts

509 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 (-.f64 y z) (/.f64 y x))
✓	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	39.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
▶	97.3%	(/.f64 x (/.f64 y (-.f64 y z)))
	96.9%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	85.8%	(*.f64 (/.f64 x y) (-.f64 y z))
▶	95.9%	#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y)))

Compiler

Compiled 150 to 88 computations (41.3% saved)

simplify151.0ms (1.7%)

Memory

-5.3MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 616×	`lower-fma.f64`
2 616×	`lower-fma.f32`
2 394×	`lower-*.f32`
2 386×	`lower-*.f64`
1 398×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	36	121
1	54	121
2	88	121
3	153	121
4	237	121
5	396	121
6	885	121
7	3365	121
8	5901	121
9	7364	121
10	7891	121
0	8031	121

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (3%)

Memory

21.4MiB live, 103.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	85.8%	(*.f64 (/.f64 x y) (-.f64 y z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y)))
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 x z) y))
✓	accuracy	93.8%	(/.f64 (*.f64 x z) y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 x #s(approx (- y z) (neg.f64 z)))
✓	accuracy	85.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	accuracy	51.2%	#s(approx (- y z) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	85.8%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
✓	accuracy	53.3%	#s(approx (* x (- y z)) (*.f64 x y))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(/.f64 y (-.f64 y z))
✓	accuracy	97.4%	(/.f64 x (/.f64 y (-.f64 y z)))

Samples

245.0ms

256×

valid

Compiler

Compiled 98 to 17 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-sub: 204.0ms (92.8% of total)

ival-div: 8.0ms (3.6% of total)

ival-mult: 6.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series33.0ms (0.4%)

Memory

0.9MiB live, 39.5MiB allocated

Counts

16 → 480

Calls

Call 1

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

Outputs
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 x (/.f64 y (-.f64 y z))) (patch (/.f64 x (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor -inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (pow y 2) z)) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.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>) () ())) ())
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#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#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 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 y z)) (patch (.f64 (/.f64 x y) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt x (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 (* -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 -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 (* -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>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
11.0ms	z	@	-inf	(/ y (- y z))
1.0ms	x	@	inf	(* x y)
1.0ms	x	@	0	(- x (/ (* x z) y))
0.0ms	x	@	inf	(- x (/ (* x z) y))
0.0ms	y	@	0	(- x (/ (* x z) y))

simplify311.0ms (3.5%)

Memory

-10.1MiB live, 401.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 322×	`lower-fma.f64`
7 322×	`lower-fma.f32`
3 408×	`lower-*.f64`
3 408×	`lower-*.f32`
1 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	2593
1	501	2577
2	1335	2547
3	4497	2531
0	8324	2518

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 456

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

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))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y)) z)
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(.f64 y (fma.f64 y (fma.f64 y (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (fma.f64 z (/.f64 z y) z)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (fma.f64 z (/.f64 z y) z)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 z (fma.f64 z (/.f64 z y) z)) y)) y))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y)) z)
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(neg.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y)) z)
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) 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)
(/ (* 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))
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(-.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))
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(* x (- y z))
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(* x (- y z))
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(* x (- y z))
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(* x (- y z))
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(* x (- y z))
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(* 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)
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(* -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))
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(* -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)))
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(* z (+ (* -1 x) (/ (* x y) z)))
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(* -1 (* x z))
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(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
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(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
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(* x y)
(*.f64 x 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 (/ (* 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)
(* -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 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 (- 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 z (neg.f64 x)) 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 z (neg.f64 x)) 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 z (neg.f64 x)) 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)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(/ (* 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)
(/.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)

rewrite357.0ms (4%)

Memory

-2.0MiB live, 592.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 622×	`lower-*.f32`
4 614×	`lower-*.f64`
4 368×	`lower-fma.f64`
4 368×	`lower-fma.f32`
3 502×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
0	36	104
1	118	104
2	733	104
3	7454	104
0	8194	104

Stop Event

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

Counts

16 → 1 091

Calls

Call 1

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

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

eval536.0ms (6%)

Memory: 5.0MiB live, 303.0MiB allocated
Compiler: Compiled 31 496 to 1 692 computations (94.6% saved)

prune546.0ms (6.1%)

Memory

2.4MiB live, 415.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 670	6	1 676
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	1 675	9	1 684

Accuracy

100.0%

Counts

1 684 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(fma.f64 (/.f64 z (neg.f64 y)) x x)
✓	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	39.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
	49.1%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
▶	49.7%	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
▶	48.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
▶	47.5%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
▶	85.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))

Compiler

Compiled 147 to 91 computations (38.1% saved)

simplify197.0ms (2.2%)

Memory

-10.0MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 748×	`lower-fma.f32`
2 746×	`lower-fma.f64`
2 574×	`lower-*.f32`
2 566×	`lower-*.f64`
2 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	35	107
1	63	107
2	123	107
3	339	107
4	588	107
5	1153	107
6	2992	107
7	4998	107
8	7295	107
0	8134	107

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (2.6%)

Memory

-10.7MiB live, 76.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	85.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 #s(approx (- y z) (neg.f64 z)) y)
✓	accuracy	97.0%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	accuracy	51.2%	#s(approx (- y z) (neg.f64 z))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	85.8%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	accuracy	51.2%	#s(approx (- y z) (neg.f64 z))
✓	accuracy	97.4%	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
✓	accuracy	49.9%	#s(approx (/ y (- y z)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	97.0%	(fma.f64 (/.f64 z (neg.f64 y)) x x)

Samples

127.0ms

256×

valid

Compiler

Compiled 95 to 21 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-div: 101.0ms (89.5% of total)

ival-mult: 7.0ms (6.2% of total)

ival-neg: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

ival-add: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

15 → 384

Calls

Call 1

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(/ (- y z) y)
0.0ms	z	@	0	(/ z (neg y))
0.0ms	y	@	0	(/ z (neg y))
0.0ms	y	@	inf	(/ z (neg y))
0.0ms	y	@	0	(+ (* (/ z (neg y)) x) x)

simplify674.0ms (7.5%)

Memory

9.4MiB live, 284.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 476×	`lower-fma.f64`
10 476×	`lower-fma.f32`
3 764×	`lower-*.f64`
3 764×	`lower-*.f32`
2 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	2179
1	442	2013
2	1192	1983
3	3997	1961
0	8245	1948

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 363

Calls

Call 1

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

Outputs
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* x (+ 1 (* -1 (/ z y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* x (- (/ z y) 1)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(neg.f64 (/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) z))
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(.f64 y (fma.f64 y (fma.f64 y (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal -1 binary64) (/.f64 y z)))) (/.f64 #s(literal -1 binary64) z)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(neg.f64 (/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) (neg.f64 z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
(/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) (neg.f64 z))
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.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)
(* -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 x (neg.f64 z)) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ z y))
(/.f64 (neg.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))
(/ (+ 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 (neg.f64 z) y)
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* z (- (/ 1 z) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(* -1 (/ z y))
(/.f64 (neg.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))
(* -1 (* z (- (/ 1 y) (/ 1 z))))
(-.f64 #s(literal 1 binary64) (/.f64 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)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (+ (* -1 (* x z)) (* x y)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(/ (* x (- y z)) y)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
x
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(+ x (* -1 (/ (* x z) y)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* z (+ (* -1 (/ x y)) (/ x z)))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (/ (* x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(fma.f64 x (/.f64 (neg.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)

rewrite356.0ms (4%)

Memory

-39.4MiB live, 492.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 026×	`lower-fma.f32`
5 024×	`lower-fma.f64`
4 842×	`lower-*.f32`
4 834×	`lower-*.f64`
3 832×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	88
0	35	84
1	123	84
2	746	84
0	8581	84

Stop Event

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

Counts

15 → 978

Calls

Call 1

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

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

eval155.0ms (1.7%)

Memory: 43.7MiB live, 422.3MiB allocated
Compiler: Compiled 22 322 to 1 687 computations (92.4% saved)

prune148.0ms (1.7%)

Memory

-27.0MiB live, 300.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 402	1	1 403
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	1 403	9	1 412

Accuracy

100.0%

Counts

1 412 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.0%	(fma.f64 (/.f64 z (neg.f64 y)) x x)
✓	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	39.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
▶	49.1%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
✓	48.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	47.5%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	85.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))
▶	49.7%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 88 to 54 computations (38.6% saved)

simplify89.0ms (1%)

Memory

22.1MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

480×	`lower-fma.f64`
480×	`lower-fma.f32`
416×	`lower-*.f32`
414×	`lower-*.f64`
414×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
0	16	47
1	28	47
2	39	47
3	58	47
4	83	47
5	120	47
6	157	47
7	324	47
8	705	47
9	1041	47
10	1398	47
11	1759	47
12	1888	47
13	1958	47
14	1960	47
15	1962	47
16	1966	47
0	1966	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

13.3MiB live, 50.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 y #s(approx (- y z) (neg.f64 z)))
✓	accuracy	97.4%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
✓	accuracy	51.2%	#s(approx (- y z) (neg.f64 z))
✓	accuracy	97.0%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
✓	accuracy	49.5%	#s(approx (/ (- y z) y) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-div: 5.0ms (53.4% of total)

ival-mult: 2.0ms (21.4% of total)

ival-sub: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-29.4MiB live, 7.9MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) (taylor inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (/ (pow y 2) z)) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y #s(approx (- y z) (neg.f64 z))) (patch (/.f64 y #s(approx (- y z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt #s(approx (- y z) (neg.f64 z)) (patch #s(approx (- y z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())

Calls

39 calls:

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

simplify303.0ms (3.4%)

Memory

1.1MiB live, 444.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 488×	`lower-fma.f64`
10 488×	`lower-fma.f32`
3 750×	`lower-*.f64`
3 750×	`lower-*.f32`
2 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1153
1	428	957
2	1159	927
3	3957	905
0	8242	892

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 147

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

Outputs
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* -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 x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (* x (- y z)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
(/ (+ (* -1 (* x z)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
x
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(+ x (* -1 (/ (* x z) y)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* z (+ (* -1 (/ x y)) (/ x z)))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ (* x z) y))
(/.f64 (*.f64 (neg.f64 z) x) y)
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (* z (+ (* -1 (/ x z)) (/ x y))))
(-.f64 x (/.f64 (*.f64 z x) y))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z)))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) (neg.f64 z))
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(.f64 y (fma.f64 y (fma.f64 y (/.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) z)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y)))
(.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ z y))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y))))
(.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (fma.f64 z (/.f64 z (.f64 y y)) #s(literal 1 binary64)))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z)
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z)
(neg.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) z))
(* -1 (/ y z))
(/.f64 y (neg.f64 z))
(* -1 (/ (+ y (/ (pow y 2) z)) z))
(neg.f64 (/.f64 (fma.f64 y (/.f64 y z) y) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z))
(/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) z)) z)) z)) 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)

rewrite234.0ms (2.6%)

Memory

39.1MiB live, 383.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 486×	`lower-*.f32`
4 484×	`lower-*.f64`
3 192×	`lower-/.f32`
3 188×	`lower-/.f64`
2 742×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	16	42
1	61	42
2	360	42
3	3192	38
0	10909	38

Stop Event

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

Counts

6 → 185

Calls

Call 1

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

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

eval57.0ms (0.6%)

Memory: -14.1MiB live, 72.9MiB allocated
Compiler: Compiled 3 556 to 572 computations (83.9% saved)

prune68.0ms (0.8%)

Memory

4.4MiB live, 79.6MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	331	1	332
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	331	10	341

Accuracy

100.0%

Counts

341 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.0%	(fma.f64 (/.f64 z (neg.f64 y)) x x)
✓	85.8%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	39.9%	(/.f64 #s(approx (* x (- y z)) (*.f64 x y)) y)
✓	49.1%	(/.f64 x (/.f64 y #s(approx (- y z) (neg.f64 z))))
✓	48.7%	(*.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x)
✓	47.5%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
	2.7%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	85.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 y z))
✓	49.7%	(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Compiler

Compiled 207 to 96 computations (53.6% saved)

regimes23.0ms (0.3%)

Memory

8.2MiB live, 46.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
5.0ms	y
5.0ms	x
5.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes22.0ms (0.2%)

Memory

-2.9MiB live, 41.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
98.7%	2	`x`
97.0%	1	`z`
97.0%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`
97.0%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory

-25.9MiB live, 9.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Memory

36.3MiB live, 36.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.9%	1	`y`
95.9%	1	`z`
97.6%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`
95.9%	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

-21.6MiB live, 16.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.9%	1	`x`
95.9%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes16.0ms (0.2%)

Memory

-12.9MiB live, 25.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Calls

4 calls:

7.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
73.1%	3	`y`
79.2%	3	`z`
72.5%	2	`(/.f64 (*.f64 x (-.f64 y z)) y)`
59.5%	4	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.4%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Accuracy

Total -30.1b remaining (-93.4%)

Threshold costs -30.1b (-93.4%)

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
49.7%	1	`x`
49.7%	1	`y`
49.7%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`
49.7%	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch17.0ms (0.2%)

Memory

-18.5MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.218018678853324e-147	3.884425305438913e-137

Samples

10.0ms

160×

valid

Compiler

Compiled 243 to 152 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (32.6% of total)

ival-div: 1.0ms (32.6% of total)

ival-mult: 1.0ms (32.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.218018678853324e-147	3.884425305438913e-137

Compiler

Compiled 243 to 152 computations (37.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.4325629124230166e+280	3.2912970658057704e+283

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch25.0ms (0.3%)

Memory

-10.4MiB live, 27.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.2324560822860539e-11	2.895858880857039e-10
7.0ms	-4.157124481739721e-34	-3.5784521653275225e-35

Samples

8.0ms

208×

valid

Compiler

Compiled 260 to 181 computations (30.4% saved)

Precisions

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

ival-sub: 1.0ms (25.4% of total)

ival-div: 1.0ms (25.4% of total)

ival-mult: 1.0ms (25.4% of total)

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

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2324560822860539e-11	2.895858880857039e-10
0.0ms	-4.157124481739721e-34	-3.5784521653275225e-35

Compiler

Compiled 260 to 181 computations (30.4% saved)

bsearch11.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2324560822860539e-11	2.895858880857039e-10
10.0ms	-2718225649590631000.0	-3624874133811617.0

Samples

5.0ms

128×

valid

Compiler

Compiled 298 to 207 computations (30.5% saved)

Precisions

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

ival-sub: 1.0ms (40.3% of total)

ival-div: 1.0ms (40.3% of total)

ival-mult: 1.0ms (40.3% of total)

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

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

simplify35.0ms (0.4%)

Memory

-11.7MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	226
1	71	226
2	85	226
3	98	226
4	104	226
5	107	226
6	108	226

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (-.f64 y z)))
(if (<=.f64 x #s(literal 4920686962781621/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y))) (fma.f64 (/.f64 z (neg.f64 y)) x x))
(if (<=.f64 x #s(literal 4920686962781621/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 (/.f64 (-.f64 y z) y) x))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 (/.f64 x y) (-.f64 y z)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y)))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -9000000000000000 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)

Outputs
(/.f64 x (/.f64 y (-.f64 y z)))
(if (<=.f64 x #s(literal 4920686962781621/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y))) (fma.f64 (/.f64 z (neg.f64 y)) x x))
(if (<=.f64 x #s(literal 4920686962781621/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 (/.f64 (-.f64 y z) y) x))
(if (<=.f64 x #s(literal 4920686962781621/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 x (/.f64 (-.f64 y z) y)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 (/.f64 x y) (-.f64 y z)))
(if (<=.f64 (/.f64 (.f64 x (-.f64 y z)) y) #s(literal 50000000000000001639112299143104912428535264151074678213166678872047130159868716796396718933620589652690874879091207540935081733845534784799699555064652126056238940212281003290763663617757479824516427445625515031454630069622241782606547428241300231103939283840542755285063235010560 binary64)) #s(approx (/ ( x (- y z)) y) (-.f64 x (/.f64 (.f64 x z) y))) (.f64 (-.f64 y z) (/.f64 x y)))
#s(approx (/ (* x (- y z)) y) (-.f64 x (/.f64 (*.f64 x z) y)))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 x #s(approx (- y z) (neg.f64 z))) y) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (/.f64 #s(approx (- y z) (neg.f64 z)) y) x) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -4442964977485945/11692013098647223345629478661730264157247460343808 binary64)) (.f64 x (/.f64 #s(approx (- y z) (neg.f64 z)) y)) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -9000000000000000 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -9000000000000000 binary64)) (.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z))) (if (<=.f64 z #s(literal 4835703278458517/38685626227668133590597632 binary64)) (.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64))) (*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))))
(*.f64 #s(approx (/ (- y z) y) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (/ (- y z) y) #s(literal 1 binary64)))

soundness1.4s (16.1%)

Memory

-17.3MiB live, 787.0MiB allocated

Rules

10 476×	`lower-fma.f64`
10 476×	`lower-fma.f32`
7 322×	`lower-fma.f64`
7 322×	`lower-fma.f32`
5 414×	`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
0	154	2179
1	442	2013
2	1192	1983
3	3997	1961
0	8245	1948
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
0	22	104
0	36	104
1	118	104
2	733	104
3	7454	104
0	8194	104
0	167	2593
1	501	2577
2	1335	2547
3	4497	2531
0	8324	2518

Stop Event

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

Compiler

Compiled 522 to 243 computations (53.4% saved)

preprocess130.0ms (1.5%)

Memory: 10.4MiB live, 264.8MiB allocated
Compiler: Compiled 498 to 180 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.3%)

sample676.0ms (7.5%)

preprocess492.0ms (5.5%)

explain100.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify285.0ms (3.2%)

localize38.0ms (0.4%)

series8.0ms (0.1%)

simplify237.0ms (2.6%)

rewrite349.0ms (3.9%)

eval96.0ms (1.1%)

prune120.0ms (1.3%)

simplify151.0ms (1.7%)

localize265.0ms (3%)

series33.0ms (0.4%)

simplify311.0ms (3.5%)

rewrite357.0ms (4%)

eval536.0ms (6%)

prune546.0ms (6.1%)

simplify197.0ms (2.2%)

localize234.0ms (2.6%)

series16.0ms (0.2%)

simplify674.0ms (7.5%)

rewrite356.0ms (4%)

eval155.0ms (1.7%)

prune148.0ms (1.7%)

simplify89.0ms (1%)

localize34.0ms (0.4%)

series8.0ms (0.1%)

simplify303.0ms (3.4%)

rewrite234.0ms (2.6%)

eval57.0ms (0.6%)

prune68.0ms (0.8%)

regimes23.0ms (0.3%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch11.0ms (0.1%)

simplify35.0ms (0.4%)

soundness1.4s (16.1%)

preprocess130.0ms (1.5%)

end0.0ms (0%)

Profiling