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

0.8MiB live, 0.8MiB 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)

sample1.1s (20.1%)

Memory

40.6MiB live, 1 436.3MiB allocated

Samples

336.0ms	5 696×	0	valid
329.0ms	2 505×	1	valid
9.0ms	55×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 450.0ms

ival-mult: 217.0ms (48.3% of total)

ival-sub: 112.0ms (24.9% of total)

adjust: 61.0ms (13.6% of total)

ival-add: 51.0ms (11.3% of total)

ival-true: 6.0ms (1.3% of total)

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

Bogosity

explain188.0ms (3.4%)

Memory

-36.3MiB live, 202.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
88	-	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
18	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
9	-	-	`(-.f64 (.f64 x y) (.f64 y z))`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 y z)`
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	55	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	48
↳	`(*.f64 y z)`	overflow	34
↳	`(*.f64 x y)`	overflow	28
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	76
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 y y)`	overflow	61
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	33	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	18	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	48
↳	`(*.f64 y z)`	overflow	34
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 y y)`	overflow	61
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	9	0
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 y z)`	overflow	34

Confusion

	Predicted +	Predicted -
+	96	0
-	0	160

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	96	0	0
-	0	0	160

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	160
1	81
2	11
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	356×	0	valid
21.0ms	150×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 109 to 31 computations (71.6% saved)

Precisions

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

ival-mult: 13.0ms (51.4% of total)

ival-sub: 6.0ms (23.7% of total)

adjust: 3.0ms (11.9% of total)

ival-add: 3.0ms (11.9% of total)

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

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

preprocess596.0ms (10.7%)

Memory

37.9MiB live, 344.7MiB 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)

prune36.0ms (0.6%)

Memory

-36.7MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify595.0ms (10.6%)

Memory

22.3MiB live, 420.3MiB 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)

localize59.0ms (1.1%)

Memory

-14.7MiB live, 61.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.9101521216604118	(-.f64 (.f64 x y) (.f64 y z))
accuracy	3.910127351622881	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
accuracy	21.091977872851206	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Samples

11.0ms	75×	1	valid
11.0ms	178×	0	valid
1.0ms	3×	2	valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

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

ival-mult: 6.0ms (48.1% of total)

ival-sub: 3.0ms (24% of total)

adjust: 2.0ms (16% of total)

ival-add: 1.0ms (8% of total)

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

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

series10.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB 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	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	@	-inf	((+ (- (- (* 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	x	@	-inf	((+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (- (- (* x y) (* y z)) (* y y)) (- (* x y) (* y z)) (* x y))

simplify123.0ms (2.2%)

Memory

25.3MiB live, 181.8MiB 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)

rewrite480.0ms (8.6%)

Memory

-28.2MiB live, 299.3MiB 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))) (hypot.f64 (pow.f64 (.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 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))
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(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)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (*.f64 (-.f64 x z) y)))))
(-.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)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 x z) (hypot.f64 (.f64 y y) (.f64 (-.f64 x z) y)))) (.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)

eval170.0ms (3%)

Memory: 13.6MiB live, 242.1MiB allocated
Compiler: Compiled 29 279 to 1 947 computations (93.4% saved)

prune37.0ms (0.7%)

Memory

-12.8MiB live, 63.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	993	5	998
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	994	5	999

Accuracy

100.0%

Counts

999 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (neg.f64 z) y (*.f64 y x))
▶	97.6%	(fma.f64 y x (*.f64 (neg.f64 z) y))
▶	100.0%	(*.f64 (-.f64 x z) y)
▶	49.1%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
▶	57.3%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 56 to 56 computations (0% saved)

simplify436.0ms (7.8%)

Memory

45.9MiB live, 474.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	320	(fma.f64 y x (*.f64 (neg.f64 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))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)

Rules

34 952×	`lower-fma.f32`
34 948×	`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	18	94
0	25	90
1	52	74
2	110	70
3	234	70
4	684	70
5	2840	70
6	4473	70
7	5040	70
8	5271	70
9	5377	70
10	5414	70
11	6621	70
12	6823	70
13	7019	70
14	7019	70
15	7415	70
16	7613	70
17	7613	70
18	7613	70
19	7711	70
20	7711	70
0	9155	70

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (2.1%)

Memory

-12.5MiB live, 180.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.7578042428166806	(fma.f64 (neg.f64 z) y (*.f64 y x))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	1.5117022356333614	(fma.f64 y x (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	32.54935937633593	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	27.343660963796836	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.015625	(*.f64 (-.f64 x z) y)

Samples

75.0ms	178×	0	valid
26.0ms	75×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 89 to 18 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 66.0ms (83.8% of total)

ival-sub: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

adjust: 3.0ms (3.8% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series20.0ms (0.4%)

Memory

6.8MiB live, 51.0MiB allocated

Counts

9 → 264

Calls

Call 1

Inputs
#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 #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 (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<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 (.f64 (-.f64 x z) y) (patch (.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 x z) y) (patch (.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 x z) y) (patch (.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* x y)) (taylor 0 z) (#s(alt (.f64 (-.f64 x z) y) (patch (.f64 (-.f64 x z) y) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation:binary64>) () ())) ())
#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>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* 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>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* 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>) () ())) ())
#s(alt (+ (* -1 (* y z)) (* 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>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<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 (* x (+ y (* -1 (/ (* 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 (* x (+ y (* -1 (/ (* 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 (* x (+ y (* -1 (/ (* 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 (* x y) (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 (* -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 #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 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#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 (* x y) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ (* y z) x)))) (taylor -inf x) (#s(alt (fma.f64 y x (.f64 (neg.f64 z) y)) (patch (fma.f64 y x (.f64 (neg.f64 z) y)) #<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
7.0ms	x	@	inf	((* (- x z) y) (- x z) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (+ (* y x) (* (neg z) y)) (+ (* (neg z) y) (* y x)))
1.0ms	y	@	-inf	((* (- x z) y) (- x z) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (+ (* y x) (* (neg z) y)) (+ (* (neg z) y) (* y x)))
1.0ms	x	@	-inf	((* (- x z) y) (- x z) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (+ (* y x) (* (neg z) y)) (+ (* (neg z) y) (* y x)))
1.0ms	y	@	0	((* (- x z) y) (- x z) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (+ (* y x) (* (neg z) y)) (+ (* (neg z) y) (* y x)))
1.0ms	y	@	inf	((* (- x z) y) (- x z) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* y x) (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (* (neg z) y) (neg z) (+ (* y x) (* (neg z) y)) (+ (* (neg z) y) (* y x)))

simplify180.0ms (3.2%)

Memory

9.1MiB live, 124.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 058×	`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	1410
1	190	1110
2	474	1110
3	1372	1110
4	2871	1110
5	4020	1110
6	4804	1110
7	5422	1110
8	5631	1110
9	5756	1110
10	6345	1110
11	6659	1110
12	6659	1110
13	6659	1110
14	6659	1110
0	8045	1110

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

Calls

Call 1

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

rewrite392.0ms (7%)

Memory

-47.4MiB live, 265.7MiB allocated

Rules

8 600×	`lower-fma.f32`
8 596×	`lower-fma.f64`
3 698×	`lower-*.f32`
3 692×	`lower-*.f64`
3 410×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	25	66
1	125	50
2	1194	46
0	8540	46

Stop Event

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

Counts

9 → 937

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 y (-.f64 x z)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 3 binary64)))) (/.f64 (.f64 y (-.f64 x z)) (pow.f64 (-.f64 (hypot.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (*.f64 y y))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 y (+.f64 z x)) y) (/.f64 (*.f64 y (-.f64 x z)) (+.f64 z x)))
(.f64 (/.f64 (.f64 y (-.f64 x z)) y) (/.f64 (*.f64 (neg.f64 y) (+.f64 z x)) (-.f64 (neg.f64 z) x)))
(.f64 (/.f64 (.f64 y (-.f64 x z)) y) (/.f64 (*.f64 y (+.f64 z x)) (+.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 (+.f64 (hypot.f64 x z) (*.f64 z 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 (+.f64 (hypot.f64 x z) (*.f64 z x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))))))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal -1 binary64)) (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (-.f64 x z)))
(.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (.f64 y y))))))
(.f64 (neg.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (-.f64 x z)))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (*.f64 y y))))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #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 y z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y z) (.f64 y (+.f64 z x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (.f64 y (+.f64 z x)) (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y z) #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 (.f64 (.f64 y (+.f64 z x)) (.f64 y (-.f64 x z))) (pow.f64 (*.f64 y (+.f64 z x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y z) (.f64 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 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y x) (.f64 y (+.f64 z x)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 x z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (.f64 y y))))))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 y (-.f64 x z))) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
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eval289.0ms (5.2%)

Memory: 33.0MiB live, 297.3MiB allocated
Compiler: Compiled 28 587 to 1 005 computations (96.5% saved)

prune41.0ms (0.7%)

Memory

-30.1MiB live, 106.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	1 331	0	1 331
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 331	5	1 336

Accuracy

100.0%

Counts

1 336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (neg.f64 z) y (*.f64 y x))
✓	97.6%	(fma.f64 y x (*.f64 (neg.f64 z) y))
✓	100.0%	(*.f64 (-.f64 x z) y)
✓	49.1%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y))
✓	57.3%	#s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 y x))

Compiler

Compiled 71 to 46 computations (35.2% saved)

regimes11.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 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 y x (*.f64 (neg.f64 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:

3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.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)

regimes10.0ms (0.2%)

Memory

-18.6MiB live, 18.8MiB 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:

5.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
2.0ms	z

Results

Accuracy	Segments	Branch
76.9%	3	`x`
61.4%	3	`y`
77.5%	3	`z`
59.2%	2	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes6.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB 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:

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

Results

Accuracy	Segments	Branch
57.3%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
57.3%	1	`y`
57.3%	1	`x`
57.3%	1	`z`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch28.0ms (0.5%)

Memory

-2.1MiB live, 75.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.3161474716351104e+44	3.05635534061104e+52
8.0ms	-5.19520815792421e+129	-2.998610309513139e+129

Samples

10.0ms	148×	0	valid
7.0ms	60×	1	valid

Compiler

Compiled 135 to 184 computations (-36.3% saved)

Precisions

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

ival-mult: 5.0ms (50.1% of total)

ival-sub: 2.0ms (20% of total)

adjust: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

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

simplify117.0ms (2.1%)

Memory

-8.2MiB live, 72.0MiB 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 -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (*.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 2800000000000000122768360526213352592975333425152 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 -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ (- (- (* x y) (* y z)) (* y y)) (* y y)) (.f64 (neg.f64 z) y)) (if (<=.f64 z #s(literal 2800000000000000122768360526213352592975333425152 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))

soundness411.0ms (7.3%)

Memory

-9.4MiB live, 229.4MiB 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)

preprocess117.0ms (2.1%)

Memory: -1.1MiB live, 115.6MiB 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%)

sample1.1s (20.1%)

explain188.0ms (3.4%)

preprocess596.0ms (10.7%)

eval0.0ms (0%)

prune36.0ms (0.6%)

simplify595.0ms (10.6%)

localize59.0ms (1.1%)

series10.0ms (0.2%)

simplify123.0ms (2.2%)

rewrite480.0ms (8.6%)

eval170.0ms (3%)

prune37.0ms (0.7%)

simplify436.0ms (7.8%)

localize115.0ms (2.1%)

series20.0ms (0.4%)

simplify180.0ms (3.2%)

rewrite392.0ms (7%)

eval289.0ms (5.2%)

prune41.0ms (0.7%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.5%)

simplify117.0ms (2.1%)

soundness411.0ms (7.3%)

preprocess117.0ms (2.1%)

end0.0ms (0%)

Profiling