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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.5%)

Memory

26.6MiB live, 65.9MiB 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)

sample798.0ms (14.5%)

Memory

-12.6MiB live, 1 267.3MiB allocated

Samples

501.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-div: 92.0ms (40.2% of total)

ival-sub: 66.0ms (28.8% of total)

ival-mult: 61.0ms (26.7% of total)

ival-true: 7.0ms (3.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain88.0ms (1.6%)

Memory

-26.3MiB live, 106.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	1	(-2.3005427623693807e-260 5.032662167073101e-217 1.5971589343550765e-56)	`(/.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	26	0
↳	`(*.f64 x (-.f64 y z))`	overflow	47
`/.f64`	`(/.f64 (*.f64 x (-.f64 y z)) y)`	u/n	7	0
↳	`(*.f64 x (-.f64 y z))`	underflow	7

Confusion

	Predicted +	Predicted -
+	33	1
-	0	222

Precision

1.0

Recall

0.9705882352941176

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	1
-	0	0	222

Precision?

1.0

Recall?

0.9705882352941176

Freqs

test

number	freq
0	223
1	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (28.8% of total)

ival-div: 3.0ms (28.8% of total)

ival-mult: 3.0ms (28.8% of total)

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

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

preprocess412.0ms (7.5%)

Memory

6.1MiB live, 124.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify198.0ms (3.6%)

Memory

26.5MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (2.2%)

Memory

-22.5MiB live, 14.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.01171875	(*.f64 x (-.f64 y z))
accuracy	7.9070507564273	(/.f64 (*.f64 x (-.f64 y z)) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (39.2% of total)

ival-mult: 2.0ms (39.2% of total)

ival-sub: 1.0ms (19.6% of total)

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

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

series8.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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 (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor 0 z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ x y)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (/ x y)))) (taylor -inf z) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x z) y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x y)) y) (taylor 0 y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x y)) (taylor 0 y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (* x z) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ (* x z) y)))) (taylor -inf y) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor 0 x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor 0 x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y z)) y) (taylor -inf x) (#s(alt (/.f64 (.f64 x (-.f64 y z)) y) (patch (/.f64 (.f64 x (-.f64 y z)) y) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- y z)) (taylor -inf x) (#s(alt (.f64 x (-.f64 y z)) (patch (.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify179.0ms (3.3%)

Memory

17.7MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

Calls

Call 1

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

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

rewrite401.0ms (7.3%)

Memory

-5.1MiB live, 105.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 418

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 y x) (.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 y x) (fma.f64 (neg.f64 z) z (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (-.f64 y z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y z) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z))) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y z)) y))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 (neg.f64 x) (.f64 (-.f64 y z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (-.f64 y z)) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y z) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (-.f64 y z)))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (neg.f64 x) y))
(.f64 (neg.f64 (-.f64 y z)) (.f64 x (/.f64 #s(literal -1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (/.f64 (-.f64 y z) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 x y)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 y z) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y z) x) y))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x y)))
(.f64 (.f64 (neg.f64 x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 (-.f64 y z) x) y) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 y z) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (-.f64 y z) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 (-.f64 y z) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 y (.f64 (-.f64 y z) x)) (/.f64 y (*.f64 (-.f64 y z) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 y z) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 y z) x) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (.f64 (neg.f64 x) (/.f64 (-.f64 y z) y)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 z) y) (-.f64 (.f64 z z) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 z y)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y)) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (.f64 y y))) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (.f64 y y))) (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) (+.f64 z y)) (.f64 (+.f64 z y) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) (fma.f64 (.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(/.f64 (-.f64 y z) #s(literal 1 binary64))
(neg.f64 (neg.f64 (-.f64 y z)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 z y) z) (-.f64 (.f64 (+.f64 z y) z) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) z (.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 z #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(-.f64 (/.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (+.f64 z y)) (.f64 z (/.f64 z (+.f64 z y))))) (/.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (+.f64 z y)) (.f64 z (/.f64 z (+.f64 z y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))) (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))))
(-.f64 (/.f64 (.f64 z z) (-.f64 (neg.f64 z) y)) (/.f64 (.f64 y y) (-.f64 (neg.f64 z) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 z y))) (.f64 z (/.f64 z (+.f64 z y))))))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 z y))) (.f64 z (/.f64 z (+.f64 z y))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 z y) (.f64 z z)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 9 binary64)) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (+.f64 z y) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (+.f64 z y) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (+.f64 z y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (+.f64 z y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 z y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 z y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (+.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))) (neg.f64 (-.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 z y))) (neg.f64 (-.f64 y z)))
(-.f64 (+.f64 y #s(literal 0 binary64)) z)
(-.f64 (.f64 y (/.f64 y (+.f64 z y))) (.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 z y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y z) #s(literal -1 binary64)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (.f64 z (/.f64 z (+.f64 z y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))

eval59.0ms (1.1%)

Memory: 25.5MiB live, 61.1MiB allocated
Compiler: Compiled 10 684 to 1 544 computations (85.5% saved)

prune22.0ms (0.4%)

Memory

3.7MiB live, 39.6MiB 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
	87.6%	(/.f64 (fma.f64 (neg.f64 z) x (*.f64 y x)) y)
✓	87.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
▶	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
▶	40.6%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
▶	97.9%	(/.f64 x (/.f64 y (-.f64 y z)))
	97.7%	(*.f64 (/.f64 (-.f64 y z) y) x)
▶	83.3%	(*.f64 (/.f64 x y) (-.f64 y z))
▶	48.6%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 107 to 96 computations (10.3% saved)

simplify135.0ms (2.5%)

Memory

-5.1MiB live, 163.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3 514×	`lower-fma.f64`
3 514×	`lower-fma.f32`
2 856×	`lower-*.f32`
2 848×	`lower-*.f64`
1 234×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	117
0	34	117
1	52	117
2	86	117
3	154	117
4	234	117
5	331	117
6	802	117
7	3388	117
8	5980	117
9	7690	117
0	8053	117

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

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

localize65.0ms (1.2%)

Memory

-23.6MiB live, 97.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 y z)
accuracy	10.715868699121783	(*.f64 (/.f64 x y) (-.f64 y z))
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	7.9070507564273	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
accuracy	31.871926507074438	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	3.677336419741663	(*.f64 (/.f64 (neg.f64 z) y) x)
accuracy	31.417824406293192	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))
accuracy	0	(*.f64 y x)
accuracy	7.9070507564273	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
accuracy	30.751988974250942	#s(approx (* x (- y z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(/.f64 y (-.f64 y z))
accuracy	1.3241180440493308	(/.f64 x (/.f64 y (-.f64 y z)))

Samples

35.0ms

256×

valid

Compiler

Compiled 95 to 16 computations (83.2% saved)

Precisions

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

ival-div: 11.0ms (55.5% of total)

ival-mult: 6.0ms (30.3% of total)

ival-sub: 2.0ms (10.1% of total)

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

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

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

series28.0ms (0.5%)

Memory

23.6MiB live, 62.1MiB allocated

Counts

15 → 444

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* (/ (neg z) y) x) (/ (neg z) y) (neg z) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (* (/ x y) (- y z)) (/ x y))
3.0ms	z	@	0	((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* (/ (neg z) y) x) (/ (neg z) y) (neg z) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (* (/ x y) (- y z)) (/ x y))
2.0ms	y	@	0	((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* (/ (neg z) y) x) (/ (neg z) y) (neg z) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (* (/ x y) (- y z)) (/ x y))
2.0ms	y	@	-inf	((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* (/ (neg z) y) x) (/ (neg z) y) (neg z) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (* (/ x y) (- y z)) (/ x y))
2.0ms	x	@	-inf	((/ x (/ y (- y z))) (/ y (- y z)) (- y z) (/ (* x (- y z)) y) (* x (- y z)) (* y x) (/ (* x (- y z)) y) (* (/ (neg z) y) x) (/ (neg z) y) (neg z) (/ (* x (- y z)) y) (* x (- y z)) (- y z) (* (/ x y) (- y z)) (/ x y))

simplify138.0ms (2.5%)

Memory

-35.7MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 388×	`lower-fma.f64`
8 388×	`lower-fma.f32`
3 600×	`lower-*.f64`
3 600×	`lower-*.f32`
2 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2734
1	467	2394
2	1282	2367
3	4375	2360
0	8561	2347

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 423

Calls

Call 1

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

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

rewrite162.0ms (3%)

Memory

11.9MiB live, 301.9MiB allocated

Rules

3 346×	`lower-*.f32`
3 338×	`lower-*.f64`
2 710×	`lower-/.f32`
2 698×	`lower-/.f64`
1 676×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	34	98
1	104	98
2	553	98
3	5262	91
0	8831	88

Stop Event

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

Counts

15 → 885

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 x y)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal 2 binary64))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (pow.f64 (.f64 z (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 z (-.f64 z y)) (-.f64 (.f64 z (-.f64 z y)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 z y))
(.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (-.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (-.f64 z y))
(*.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (/.f64 z y) x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 y z))
(*.f64 (/.f64 x (/.f64 y (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 y z)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 x (fma.f64 z (-.f64 z y) (.f64 y y))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 y z) x))
(*.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x y) (-.f64 y z)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x y) (fma.f64 z (-.f64 z y) (.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 y z)))
(.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 z (-.f64 z y) (.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) y))
(*.f64 (/.f64 x (pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 y z)))
(.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 z y) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 z y) y))
(.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 x y)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (-.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 z y) x))
(*.f64 (/.f64 (-.f64 z y) y) (neg.f64 x))
(.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (neg.f64 x)) (pow.f64 (*.f64 (-.f64 z y) y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 x)) (pow.f64 (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (neg.f64 y)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) x) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (-.f64 y z))) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (.f64 (/.f64 z y) x))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (.f64 (/.f64 z y) x))
(+.f64 (*.f64 (/.f64 z y) x) x)
(+.f64 x (.f64 (.f64 (/.f64 z y) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 (/.f64 z y) x))
(*.f64 (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))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval171.0ms (3.1%)

Memory: 23.2MiB live, 448.7MiB allocated
Compiler: Compiled 18 838 to 2 008 computations (89.3% saved)

prune42.0ms (0.8%)

Memory

7.7MiB live, 124.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 471	6	1 477
Fresh	2	0	2
Picked	2	3	5
Done	0	1	1
Total	1 475	10	1 485

Accuracy

100.0%

Counts

1 485 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.5%	(fma.f64 (/.f64 (neg.f64 x) y) z x)
▶	96.0%	(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) x)
	87.6%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x))
✓	87.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	40.6%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
▶	50.9%	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
▶	47.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
▶	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	48.6%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 113 to 108 computations (4.4% saved)

simplify72.0ms (1.3%)

Memory

-25.9MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

832×	`lower-fma.f32`
828×	`lower-fma.f64`
768×	`times-frac`
688×	`lower-*.f32`
682×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	96
0	34	97
1	59	95
2	101	95
3	148	95
4	213	95
5	284	95
6	423	95
7	848	95
8	1724	95
9	2228	95
10	2398	95
11	2512	95
12	2536	95
13	2544	95
14	2547	95
0	2547	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1%)

Memory

-11.4MiB live, 103.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	3.5071996564208705	(fma.f64 (/.f64 (neg.f64 x) y) z x)
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	10.715868699121783	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
accuracy	31.871926507074438	#s(approx (- y z) (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	10.715868699121783	(*.f64 (/.f64 x y) #s(approx (- y z) z))
accuracy	62.59455034372882	#s(approx (- y z) z)
accuracy	1.3241180440493308	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
accuracy	31.32660869931398	#s(approx (/ y (- y z)) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 z x)
accuracy	2.551070180124184	(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 86 to 21 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 11.0ms (44.2% of total)

ival-mult: 6.0ms (24.1% of total)

ival-sub: 3.0ms (12.1% of total)

ival-add: 2.0ms (8% of total)

ival-neg: 2.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

14 → 360

Calls

Call 1

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

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

Calls

9 calls:

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

simplify144.0ms (2.6%)

Memory

-6.6MiB live, 192.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 946×	`lower-fma.f64`
10 946×	`lower-fma.f32`
3 922×	`lower-*.f64`
3 922×	`lower-*.f32`
1 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	2056
1	431	1896
2	1139	1869
3	3919	1856
0	8479	1843

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 339

Calls

Call 1

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

rewrite155.0ms (2.8%)

Memory

7.2MiB live, 162.9MiB allocated

Rules

5 896×	`lower-fma.f32`
5 892×	`lower-fma.f64`
4 262×	`lower-*.f32`
4 256×	`lower-*.f64`
2 832×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	78
0	34	79
1	122	77
2	804	77
3	7642	77
0	8177	77

Stop Event

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

Counts

14 → 504

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (.f64 x (/.f64 (-.f64 y z) y)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 z y) x x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 z y) x x) x)))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 z y) x x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 z y) x x) x) (-.f64 (.f64 (fma.f64 (/.f64 z y) x x) x) (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)))) (.f64 x (/.f64 (-.f64 y z) y)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 z y) x x)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) x x)))
(.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))))))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 z y) x x)))
(.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (/.f64 (.f64 x (/.f64 (-.f64 y z) y)) (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)))))
(.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) (.f64 (.f64 x (/.f64 (-.f64 y z) y)) (pow.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 z y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 z y) x x) x (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 y z) y)))
(.f64 (.f64 x (/.f64 (-.f64 y z) y)) (/.f64 (neg.f64 (fma.f64 (/.f64 z y) x x)) (neg.f64 (fma.f64 (/.f64 z y) x x))))
(.f64 (.f64 x (/.f64 (-.f64 y z) y)) (*.f64 (neg.f64 (fma.f64 (/.f64 z y) x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 z y) x x))))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 z y) x (neg.f64 x)))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (/.f64 z y) x)))
(*.f64 x (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 x (/.f64 (-.f64 y z) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) y))) #s(literal -1 binary64))
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(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (pow.f64 (.f64 x z) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 (fma.f64 (/.f64 z y) x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 z y) x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 z y) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) y) z))
(fma.f64 (.f64 x z) (/.f64 (/.f64 (.f64 (/.f64 z y) x) y) (neg.f64 (fma.f64 (/.f64 z y) x x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (/.f64 z y) x x))))
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 x (/.f64 (neg.f64 z) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) z))
(fma.f64 z (/.f64 (.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -2 binary64)) z) (neg.f64 (fma.f64 (/.f64 z y) x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 z y) x x))))
(fma.f64 z (/.f64 (neg.f64 x) y) x)
(-.f64 (fma.f64 (/.f64 (neg.f64 z) y) x #s(literal 0 binary64)) (neg.f64 x))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (/.f64 z y) x x)) (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)) (fma.f64 (/.f64 z y) x x)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 z y) x x))) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 z y) x x)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 x) y) z)))
(-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 z y) x))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (neg.f64 x) y) z) #s(literal 2 binary64)) (neg.f64 (fma.f64 (/.f64 z y) x x))) (neg.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 (/.f64 z y) x x))))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) z) x)
(+.f64 x (*.f64 (/.f64 (neg.f64 x) y) z))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (.f64 x x))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -2 binary64))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (/.f64 x #s(literal -1 binary64)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 y)) (.f64 y (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y x)) y) (.f64 y (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 y x)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)
(/.f64 (.f64 (neg.f64 x) x) (.f64 y x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 y (.f64 x x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x x) (.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) y)
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval117.0ms (2.1%)

Memory: 10.1MiB live, 201.9MiB allocated
Compiler: Compiled 11 619 to 1 039 computations (91.1% saved)

prune22.0ms (0.4%)

Memory

5.0MiB live, 80.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	904	0	904
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	904	10	914

Accuracy

100.0%

Counts

914 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(fma.f64 (/.f64 (neg.f64 x) y) z x)
✓	96.0%	(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) x)
▶	87.6%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x))
✓	87.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	40.6%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	50.9%	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
✓	47.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	48.6%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 70 to 67 computations (4.3% saved)

simplify100.0ms (1.8%)

Memory

-22.6MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff	0	(/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	13312	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x))

Rules

5 874×	`lower-fma.f64`
5 874×	`lower-fma.f32`
2 438×	`lower-/.f32`
2 434×	`lower-/.f64`
2 430×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	14	33
1	21	33
2	37	31
3	93	29
4	250	29
5	671	29
6	1618	29
7	4444	29
8	7643	29
0	8004	29

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

16.6MiB live, 57.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y z)
accuracy	0.0078125	(pow.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy	0.20703125	(/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)
accuracy	7.95540922689454	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-pow: 8.0ms (50.2% of total)

ival-sub: 4.0ms (25.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-15.1MiB live, 21.6MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((/ (pow y -1) (/ (pow (- y z) -1) x)) (pow y -1) (/ (pow (- y z) -1) x) (pow (- y z) -1) (- y z))
3.0ms	z	@	inf	((/ (pow y -1) (/ (pow (- y z) -1) x)) (pow y -1) (/ (pow (- y z) -1) x) (pow (- y z) -1) (- y z))
1.0ms	x	@	-inf	((/ (pow y -1) (/ (pow (- y z) -1) x)) (pow y -1) (/ (pow (- y z) -1) x) (pow (- y z) -1) (- y z))
1.0ms	y	@	-inf	((/ (pow y -1) (/ (pow (- y z) -1) x)) (pow y -1) (/ (pow (- y z) -1) x) (pow (- y z) -1) (- y z))
1.0ms	z	@	0	((/ (pow y -1) (/ (pow (- y z) -1) x)) (pow y -1) (/ (pow (- y z) -1) x) (pow (- y z) -1) (- y z))

simplify168.0ms (3.1%)

Memory

29.7MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 220×	`lower-fma.f64`
11 220×	`lower-fma.f32`
4 666×	`lower-*.f64`
4 666×	`lower-*.f32`
2 506×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	1260
1	802	1174
2	2258	1090
3	7319	1070
0	8247	1050

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 126

Calls

Call 1

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

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

rewrite184.0ms (3.4%)

Memory

-34.9MiB live, 165.5MiB allocated

Rules

3 792×	`lower-*.f64`
3 792×	`lower-*.f32`
2 488×	`lower-/.f32`
2 484×	`lower-/.f64`
2 044×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	61	27
2	362	25
3	3657	25
0	8297	25

Stop Event

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

Counts

5 → 476

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 (neg.f64 x) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 y z))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (-.f64 y z)))
(.f64 (.f64 (neg.f64 (/.f64 (-.f64 y z) y)) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y z))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(.f64 (.f64 x (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y z)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal -1 binary64))) (/.f64 x (+.f64 z y)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 x (fma.f64 (+.f64 z y) z (.f64 y y))))
(.f64 (/.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z)))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y z))) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y z))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 y z))
(.f64 (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 y z) y)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 y z) y)) (neg.f64 x))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (-.f64 y z) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x y) (-.f64 y z))
(.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) (-.f64 y z))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z))))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z))))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) x))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) x)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y z)))
(.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 y z)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 x (neg.f64 y)))
(.f64 (.f64 (neg.f64 x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (-.f64 y z) y) x)
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (-.f64 y z))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 y z)))
(.f64 (.f64 x (-.f64 y z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 y z) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (-.f64 y z)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 y z)))
(.f64 (.f64 (/.f64 x y) (-.f64 y z)) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (-.f64 y z) (pow.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (-.f64 y z) (/.f64 x y))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (-.f64 y z)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (-.f64 y z) y) (neg.f64 x)))
(pow.f64 (*.f64 (/.f64 (/.f64 y (-.f64 y z)) x) (/.f64 (/.f64 y (-.f64 y z)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (neg.f64 y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 y z) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (neg.f64 (/.f64 (-.f64 y z) y)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (-.f64 y z) y))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 y z)) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (.f64 y y))))
(/.f64 (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 z y)) (.f64 (+.f64 z y) (.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (+.f64 z y) (fma.f64 (.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 y z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) z (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 y y) (.f64 (neg.f64 z) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) z (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (-.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y z)))
(neg.f64 (neg.f64 (-.f64 y z)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 z y) z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 z y) z) (-.f64 (.f64 (+.f64 z y) z) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) z (.f64 y y))) (-.f64 y z) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) z)
(-.f64 (/.f64 (.f64 y (/.f64 y (+.f64 z y))) #s(literal 1 binary64)) (/.f64 (.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal 1 binary64)))
(-.f64 (.f64 y (/.f64 y (+.f64 z y))) (.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 z y))
(-.f64 y (/.f64 z #s(literal 1 binary64)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 y z))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (-.f64 y z)))
(+.f64 (.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (.f64 z (/.f64 z (+.f64 z y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (.f64 y y)))))
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))

eval92.0ms (1.7%)

Memory: 15.1MiB live, 138.4MiB allocated
Compiler: Compiled 11 998 to 2 011 computations (83.2% saved)

prune33.0ms (0.6%)

Memory

2.1MiB live, 40.8MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	601	1	602
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	602	10	612

Accuracy

100.0%

Counts

612 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.5%	(fma.f64 (/.f64 (neg.f64 x) y) z x)
✓	96.0%	(fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) x)
	48.6%	(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (pow (- y z) -1) (/.f64 #s(literal -1 binary64) z)) x))
✓	87.6%	(/.f64 (*.f64 x (-.f64 y z)) y)
✓	48.8%	(/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y)
✓	40.6%	(/.f64 #s(approx (* x (- y z)) (*.f64 y x)) y)
✓	50.9%	(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))
✓	47.1%	(*.f64 (/.f64 x y) #s(approx (- y z) (neg.f64 z)))
✓	2.6%	(*.f64 (/.f64 x y) #s(approx (- y z) z))
✓	48.6%	#s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x))

Compiler

Compiled 179 to 112 computations (37.4% saved)

regimes23.0ms (0.4%)

Memory

-0.2MiB live, 36.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes21.0ms (0.4%)

Memory

-13.8MiB live, 29.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

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
86.5%	3	`x`
92.9%	3	`y`
87.3%	3	`z`
92.6%	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes18.0ms (0.3%)

Memory

-15.3MiB live, 22.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.9%	3	`x`
77.3%	3	`z`
74.2%	3	`(/.f64 (*.f64 x (-.f64 y z)) y)`
80.7%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
79.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

-16.6MiB live, 22.0MiB allocated

Accuracy

Total -30.9b remaining (-98.4%)

Threshold costs -30.9b (-98.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.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 y x)) y)

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

Calls

4 calls:

3.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`(/.f64 (*.f64 x (-.f64 y z)) y)`
50.9%	1	`z`
50.9%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch27.0ms (0.5%)

Memory

18.6MiB live, 56.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.733922029375852e+130	7.905500058606419e+132
14.0ms	-1.3211499999233847e+90	-4.4516576305748e+68

Samples

12.0ms

288×

valid

Compiler

Compiled 208 to 264 computations (-26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (35.3% of total)

ival-div: 2.0ms (35.3% of total)

ival-mult: 2.0ms (35.3% of total)

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

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

bsearch22.0ms (0.4%)

Memory

-20.5MiB live, 60.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.152083792716615e+77	2.463390202590474e+78
10.0ms	-3.1820480612249397e-31	-1.5359462646628662e-31

Samples

12.0ms

192×

valid

Compiler

Compiled 142 to 192 computations (-35.2% saved)

Precisions

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

ival-sub: 1.0ms (26.2% of total)

ival-div: 1.0ms (26.2% of total)

ival-mult: 1.0ms (26.2% of total)

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

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

bsearch6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.152083792716615e+77	2.463390202590474e+78
0.0ms	-3.1820480612249397e-31	-1.5359462646628662e-31

Samples

3.0ms

64×

valid

Compiler

Compiled 142 to 192 computations (-35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

simplify25.0ms (0.5%)

Memory

20.1MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	132
1	53	132
2	64	132
3	76	132
4	83	132
5	87	132
6	88	132

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 y #s(literal -1299999999999999922505882886358090936773429906142127649985886156490049686133753935074164736 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4199999999999999866919368218570611458014060929581763498141813102257138433919614301854648071150169128158090451614688389509048564711424 binary64)) (*.f64 (/.f64 x y) (-.f64 y z)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5594810955407363/22835963083295358096932575511191922182123945984 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 116000000000000006744526036932226692775661050204182998883395425631053962805248 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5594810955407363/22835963083295358096932575511191922182123945984 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 209999999999999987385495624514284756135282336788922810739010987273763545939968 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(if (<=.f64 y #s(literal -1299999999999999922505882886358090936773429906142127649985886156490049686133753935074164736 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4199999999999999866919368218570611458014060929581763498141813102257138433919614301854648071150169128158090451614688389509048564711424 binary64)) (*.f64 (/.f64 x y) (-.f64 y z)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5594810955407363/22835963083295358096932575511191922182123945984 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 116000000000000006744526036932226692775661050204182998883395425631053962805248 binary64)) (/.f64 (*.f64 x #s(approx (- y z) (neg.f64 z))) y) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5594810955407363/22835963083295358096932575511191922182123945984 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 116000000000000006744526036932226692775661050204182998883395425631053962805248 binary64)) (/.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) y) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -5594810955407363/22835963083295358096932575511191922182123945984 binary64)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 209999999999999987385495624514284756135282336788922810739010987273763545939968 binary64)) #s(approx (/ (* x (- y z)) y) (*.f64 (/.f64 (neg.f64 z) y) x)) (/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (- y z)) #s(literal 1 binary64)))

soundness972.0ms (17.7%)

Memory

-38.4MiB live, 333.4MiB allocated

Rules

8 388×	`lower-fma.f64`
8 388×	`lower-fma.f32`
5 414×	`lower-/.f32`
5 412×	`lower-/.f64`
4 046×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	585
1	174	465
2	493	465
3	1303	465
4	2739	465
5	4443	465
6	5818	465
7	6239	465
8	6355	465
9	6423	465
10	7298	465
11	7590	465
0	8001	465
0	157	2734
1	467	2394
2	1282	2367
3	4375	2360
0	8561	2347
0	6	15
0	9	15
1	35	15
2	223	15
3	2306	15
0	9060	15

Stop Event

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

Compiler

Compiled 209 to 124 computations (40.7% saved)

preprocess78.0ms (1.4%)

Memory: 5.3MiB live, 157.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 260 to 130 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze28.0ms (0.5%)

sample798.0ms (14.5%)

explain88.0ms (1.6%)

preprocess412.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify198.0ms (3.6%)

localize118.0ms (2.2%)

series8.0ms (0.2%)

simplify179.0ms (3.3%)

rewrite401.0ms (7.3%)

eval59.0ms (1.1%)

prune22.0ms (0.4%)

simplify135.0ms (2.5%)

localize65.0ms (1.2%)

series28.0ms (0.5%)

simplify138.0ms (2.5%)

rewrite162.0ms (3%)

eval171.0ms (3.1%)

prune42.0ms (0.8%)

simplify72.0ms (1.3%)

localize56.0ms (1%)

series17.0ms (0.3%)

simplify144.0ms (2.6%)

rewrite155.0ms (2.8%)

eval117.0ms (2.1%)

prune22.0ms (0.4%)

simplify100.0ms (1.8%)

localize39.0ms (0.7%)

series17.0ms (0.3%)

simplify168.0ms (3.1%)

rewrite184.0ms (3.4%)

eval92.0ms (1.7%)

prune33.0ms (0.6%)

regimes23.0ms (0.4%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes18.0ms (0.3%)

regimes3.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch27.0ms (0.5%)

bsearch22.0ms (0.4%)

bsearch6.0ms (0.1%)

simplify25.0ms (0.5%)

soundness972.0ms (17.7%)

preprocess78.0ms (1.4%)

end0.0ms (0%)

Profiling