Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.4s (23.3%)

Memory

23.0MiB live, 1 457.7MiB allocated

Samples

566.0ms	5 795×	0	valid
368.0ms	2 418×	1	valid
44.0ms	43×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult: 280.0ms (56.6% of total)

ival-sub: 90.0ms (18.2% of total)

adjust: 58.0ms (11.7% of total)

ival-add: 56.0ms (11.3% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain310.0ms (5.2%)

Memory

-13.7MiB live, 190.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
92	1	(5.500357079951129e-175 5.654653576290875e-149 -2.4975624817689224e-216)	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
24	0	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
8	0	-	-	`(-.f64 (.f64 x y) (.f64 y z))`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`(*.f64 y z)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	nan-rescue	59	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	56
↳	`(*.f64 y z)`	overflow	37
↳	`(*.f64 x y)`	overflow	31
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	79
↳	`(*.f64 y y)`	overflow	66
↳	`(*.f64 y y)`	overflow	66
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	34	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	24	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	56
↳	`(*.f64 y z)`	overflow	37
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 y y)`	overflow	66
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	8	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 y z)`	overflow	37

Confusion

	Predicted +	Predicted -
+	99	0
-	1	156

Precision

0.99

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	0
-	1	0	156

Precision?

0.99

Recall?

1.0

Freqs

test

number	freq
0	156
1	80
2	15
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

143.0ms	162×	1	valid
23.0ms	350×	0	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-sub: 124.0ms (86.1% of total)

ival-mult: 13.0ms (9% of total)

adjust: 3.0ms (2.1% of total)

ival-add: 3.0ms (2.1% of total)

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

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

preprocess513.0ms (8.5%)

Memory

21.4MiB live, 380.4MiB allocated

Algorithm

1×	egg-herbie

Rules

36 560×	`lower-fma.f64`
36 560×	`lower-fma.f32`
4 512×	`lower-+.f32`
4 510×	`lower-+.f64`
3 672×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	143
1	157	68
2	493	47
3	1466	47
4	4433	47
5	6356	47
6	7458	47
7	7880	47
8	7880	47
9	7880	47
0	9	15
0	15	15
1	31	7
2	84	5
3	203	5
4	653	5
5	2719	5
6	4293	5
7	4957	5
8	5213	5
9	5326	5
10	5371	5
11	6626	5
12	6836	5
13	7040	5
14	7040	5
15	7452	5
16	7658	5
17	7658	5
18	7658	5
19	7760	5
20	7760	5
0	9258	5

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

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

Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify504.0ms (8.4%)

Memory

-23.5MiB live, 291.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	320	(-.f64 (.f64 x y) (.f64 y z))
cost-diff	320	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
cost-diff	704	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Rules

36 560×	`lower-fma.f64`
36 560×	`lower-fma.f32`
4 512×	`lower-+.f32`
4 510×	`lower-+.f64`
3 672×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	45
0	15	53
1	31	35
2	84	29
3	203	29
4	653	29
5	2719	29
6	4293	29
7	4957	29
8	5213	29
9	5326	29
10	5371	29
11	6626	29
12	6836	29
13	7040	29
14	7040	29
15	7452	29
16	7658	29
17	7658	29
18	7658	29
19	7760	29
20	7760	29
0	9258	29

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.2%)

Memory

4.6MiB live, 40.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.7070271216604118	(-.f64 (.f64 x y) (.f64 y z))
accuracy	4.499971101622882	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	22.21536828209817	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

52.0ms	80×	1	valid
11.0ms	176×	0	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 48.0ms (88.6% of total)

ival-sub: 3.0ms (5.5% of total)

adjust: 2.0ms (3.7% of total)

ival-add: 1.0ms (1.8% of total)

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

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

series10.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

4 → 132

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* y z)) (* x y)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* y z)) (* x y)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* y z)) (* x y)) (pow y 2)) (taylor 0 z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x 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 (* y z)) (* x 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 (* y z)) (* x 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 (* y z)) (* x 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 (* y z)) (taylor inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) (+ y (/ (pow y 2) z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) (+ y (/ (pow y 2) z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) (+ y (/ (pow y 2) z)))) (taylor inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x y) z) y)) (taylor inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (- (* x y) (pow y 2)) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y)))) (taylor -inf z) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 y)) z)) (taylor 0 y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 y)) z)) (taylor 0 y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 y)) z)) (taylor 0 y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor 0 y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x y) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x y) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ x y) (+ 1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (- x z)) (taylor inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1)) (taylor -inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1)) (taylor -inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (- (* -1 x) (* -1 z)) y)) 1)) (taylor -inf y) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 x) (* -1 z)))) (taylor -inf y) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (* y z) (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (+ (* y z) (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (+ (* y z) (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (+ (* y z) (pow y 2))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) (* y z)) (taylor 0 x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (+ (* y z) (pow y 2)) x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x 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 (* -1 (/ (* y z) x)))) (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 (* -1 (/ (* y z) x)))) (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 (* -1 (/ (* y z) x)))) (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>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) (patch (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (/ (* y z) x) (/ (pow y 2) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (patch (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x y) (.f64 y z)) (patch (-.f64 (.f64 x y) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (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
1.0ms	y	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	x	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	y	@	inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))
1.0ms	z	@	0	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))

simplify112.0ms (1.9%)

Memory

-15.3MiB live, 108.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 280×	`lower-fma.f64`
8 280×	`lower-fma.f32`
2 270×	`lower-*.f64`
2 270×	`lower-*.f32`
1 468×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	887
1	214	677
2	583	665
3	2206	665
4	6798	665
0	8119	665

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite264.0ms (4.4%)

Memory

36.3MiB live, 369.3MiB allocated

Rules

12 002×	`lower-fma.f64`
12 002×	`lower-fma.f32`
5 170×	`lower-*.f32`
5 164×	`lower-*.f64`
3 244×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
0	15	44
1	68	26
2	637	20
0	8283	20

Stop Event

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

Counts

4 → 866

Calls

Call 1

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

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

eval265.0ms (4.4%)

Memory: 9.4MiB live, 244.2MiB allocated
Compiler: Compiled 29 577 to 1 949 computations (93.4% saved)

prune597.0ms (9.9%)

Memory

-236.9MiB live, 211.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	994	4	998
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	995	4	999

Accuracy

100.0%

Counts

999 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
▶	100.0%	(*.f64 (-.f64 x z) y)
▶	55.5%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
▶	52.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 21 to 22 computations (-4.8% saved)

simplify365.0ms (6.1%)

Memory

10.1MiB live, 322.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	320	(fma.f64 (neg.f64 z) y (*.f64 y x))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Rules

34 952×	`lower-fma.f32`
34 950×	`lower-fma.f64`
4 432×	`lower-+.f64`
4 432×	`lower-+.f32`
3 580×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	23	76
1	51	60
2	109	56
3	235	56
4	685	56
5	2795	56
6	4427	56
7	4994	56
8	5219	56
9	5325	56
10	5362	56
11	6569	56
12	6771	56
13	6967	56
14	6967	56
15	7363	56
16	7561	56
17	7561	56
18	7561	56
19	7659	56
20	7659	56
0	9103	56

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.9%)

Memory

5.9MiB live, 122.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	1.253892488027801	(fma.f64 (neg.f64 z) y (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	28.450026801900474	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	30.695904909336697	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Samples

22.0ms	80×	1	valid
18.0ms	176×	0	valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-mult: 12.0ms (52.4% of total)

ival-sub: 4.0ms (17.5% of total)

adjust: 3.0ms (13.1% of total)

ival-add: 3.0ms (13.1% of total)

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

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

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

series16.0ms (0.3%)

Memory

-1.9MiB live, 35.6MiB allocated

Counts

8 → 228

Calls

Call 1

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

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

Calls

9 calls:

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

simplify520.0ms (8.7%)

Memory

-3.5MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 238×	`associate-/r*`
2 872×	`lower-/.f32`
2 872×	`lower-/.f64`
2 624×	`lower-fma.f64`
2 624×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	1179
1	190	939
2	474	939
3	1375	939
4	2923	939
5	4087	939
6	4868	939
7	5484	939
8	5693	939
9	5809	939
10	6398	939
11	6712	939
12	6712	939
13	6712	939
14	6712	939
0	8189	939

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

Calls

Call 1

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

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

rewrite205.0ms (3.4%)

Memory

35.3MiB live, 188.3MiB allocated

Rules

10 172×	`lower-fma.f32`
10 170×	`lower-fma.f64`
4 506×	`lower-*.f32`
4 500×	`lower-*.f64`
3 478×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	23	61
1	117	45
2	1005	41
0	8486	41

Stop Event

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

Counts

8 → 684

Calls

Call 1

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

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

eval176.0ms (2.9%)

Memory: -24.5MiB live, 252.1MiB allocated
Compiler: Compiled 18 873 to 993 computations (94.7% saved)

prune107.0ms (1.8%)

Memory

9.3MiB live, 140.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	970	0	970
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	970	4	974

Accuracy

100.0%

Counts

974 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	55.5%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
✓	52.0%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes12.0ms (0.2%)

Memory

-13.0MiB live, 24.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
79.1%	3	`x`
63.0%	5	`y`
83.1%	3	`z`
59.8%	3	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-15.2MiB live, 20.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
52.0%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
52.0%	1	`y`
52.0%	1	`x`
52.0%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch28.0ms (0.5%)

Memory

25.8MiB live, 62.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.0387112279798198e+110	3.8167268998585727e+110
16.0ms	-1.2491684499573664e-45	-2.0399100846881824e-48

Samples

10.0ms	138×	0	valid
8.0ms	70×	1	valid

Compiler

Compiled 135 to 184 computations (-36.3% saved)

Precisions

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

ival-mult: 7.0ms (58.1% of total)

ival-sub: 2.0ms (16.6% of total)

adjust: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

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

simplify26.0ms (0.4%)

Memory

-22.9MiB live, 65.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
1	32	91
2	41	91
3	48	91
4	51	91
5	52	91

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -100272933961761/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 105000000000000007481003204427509868104533067315860364228729540896574504752325750256149965265583487693860372480 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))))

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

Outputs
(*.f64 (-.f64 x z) y)
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -100272933961761/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 105000000000000007481003204427509868104533067315860364228729540896574504752325750256149965265583487693860372480 binary64)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (.f64 y x)) #s(approx (+ (- (- ( x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))))
#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

soundness362.0ms (6%)

Memory

-0.1MiB live, 272.6MiB allocated

Rules

12 002×	`lower-fma.f64`
12 002×	`lower-fma.f32`
8 280×	`lower-fma.f64`
8 280×	`lower-fma.f32`
5 170×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	887
1	214	677
2	583	665
3	2206	665
4	6798	665
0	8119	665
0	9	36
0	15	44
1	68	26
2	637	20
0	8283	20

Stop Event

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

preprocess80.0ms (1.3%)

Memory: 7.8MiB live, 86.0MiB allocated
Remove: (negabs y)
Compiler: Compiled 122 to 80 computations (34.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (23.3%)

explain310.0ms (5.2%)

preprocess513.0ms (8.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify504.0ms (8.4%)

localize70.0ms (1.2%)

series10.0ms (0.2%)

simplify112.0ms (1.9%)

rewrite264.0ms (4.4%)

eval265.0ms (4.4%)

prune597.0ms (9.9%)

simplify365.0ms (6.1%)

localize53.0ms (0.9%)

series16.0ms (0.3%)

simplify520.0ms (8.7%)

rewrite205.0ms (3.4%)

eval176.0ms (2.9%)

prune107.0ms (1.8%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch28.0ms (0.5%)

simplify26.0ms (0.4%)

soundness362.0ms (6%)

preprocess80.0ms (1.3%)

end0.0ms (0%)

Profiling