Metrics for Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 11 to 10 computations (9.1% saved)

sample1.3s (29.6%)

Memory

-12.3MiB live, 675.2MiB allocated

Samples

918.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-mult: 188.0ms (44.9% of total)

ival-sub: 169.0ms (40.3% of total)

ival-add: 48.0ms (11.5% of total)

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

exact: 4.0ms (1% of total)

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

Bogosity

explain78.0ms (1.8%)

Memory

-19.1MiB live, 178.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`	nan-rescue	6	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	27
↳	`(*.f64 x z)`	overflow	30

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.1% of total)

ival-sub: 5.0ms (33.6% of total)

ival-add: 2.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess86.0ms (2%)

Memory

19.2MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
358×	`unsub-neg`
346×	`distribute-rgt-in`
298×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	187	81
3	531	68
4	1127	64
5	1897	63
6	2272	63
7	2308	63
8	2312	63
9	2312	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	558	7
9	628	7
10	630	7
0	630	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
(fma.f64 (-.f64 z y) x y)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify32.0ms (0.7%)

Memory

-11.5MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x z)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff	448	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
236×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	558	22
9	628	22
10	630	22
0	630	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

0.2MiB live, 39.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x z)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	1.3554625574906174	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (49.7% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify111.0ms (2.5%)

Memory

4.2MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
2 438×	`lower-*.f64`
2 438×	`lower-*.f32`
1 490×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
1	192	442
2	558	442
3	1392	442
4	3879	442
5	6297	442
0	8009	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite213.0ms (4.9%)

Memory

-1.7MiB live, 355.5MiB allocated

Rules

9 442×	`lower-fma.f64`
9 442×	`lower-fma.f32`
7 738×	`lower-*.f32`
7 734×	`lower-*.f64`
4 066×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	313	20
3	3728	20
0	12507	19

Stop Event

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

Counts

4 → 284

Calls

Call 1

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

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

eval75.0ms (1.7%)

Memory: -0.4MiB live, 161.1MiB allocated
Compiler: Compiled 9 726 to 911 computations (90.6% saved)

prune42.0ms (1%)

Memory

-7.1MiB live, 114.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	372	6	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	373	6	379

Accuracy

100.0%

Counts

379 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x))
▶	98.8%	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
▶	68.6%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
▶	57.1%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	45.9%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 114 to 68 computations (40.4% saved)

simplify25.0ms (0.6%)

Memory

-9.5MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff	320	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff	0	(-.f64 z y)
cost-diff	0	(*.f64 (-.f64 z y) x)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
cost-diff	0	(-.f64 z y)
cost-diff	0	(fma.f64 (-.f64 z y) x y)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))

Rules

608×	`lower-fma.f32`
604×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	689	104
9	710	104
10	710	104
0	710	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.8%)

Memory

6.6MiB live, 85.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	0.7538979928166806	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0	(-.f64 z y)
accuracy	0.015625	(*.f64 (-.f64 z y) x)
accuracy	20.085810898903254	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	27.487799375026036	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0	(*.f64 z x)
accuracy	34.60852623274698	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
accuracy	0	(-.f64 z y)
accuracy	0	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
accuracy	0.01171875	(fma.f64 (-.f64 z y) x y)

Samples

27.0ms

256×

valid

Compiler

Compiled 99 to 15 computations (84.8% saved)

Precisions

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

ival-mult: 8.0ms (56.8% of total)

ival-sub: 3.0ms (21.3% of total)

ival-add: 3.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-0.2MiB live, 40.9MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* z x) (* (- 1 x) y)))
1.0ms	x	@	inf	((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* z x) (* (- 1 x) y)))
1.0ms	z	@	-inf	((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* z x) (* (- 1 x) y)))
1.0ms	y	@	-inf	((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* z x) (* (- 1 x) y)))
1.0ms	y	@	inf	((+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y) (- z y) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (+ (* z x) (* (- 1 x) y)))

simplify130.0ms (3%)

Memory

-13.5MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
2 600×	`lower-*.f64`
2 600×	`lower-*.f32`
1 434×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	388	1796
2	1116	1796
3	2669	1796
4	5331	1796
5	7591	1796
0	8017	1634

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

Calls

Call 1

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

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

rewrite186.0ms (4.2%)

Memory

9.1MiB live, 450.4MiB allocated

Rules

9 930×	`lower-fma.f32`
9 926×	`lower-fma.f64`
6 080×	`lower-*.f32`
6 074×	`lower-*.f64`
3 818×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	99	86
2	681	78
0	8515	78

Stop Event

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

Counts

11 → 648

Calls

Call 1

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

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

eval169.0ms (3.8%)

Memory: 23.5MiB live, 495.2MiB allocated
Compiler: Compiled 33 046 to 1 371 computations (95.9% saved)

prune119.0ms (2.7%)

Memory

-8.4MiB live, 392.4MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 205	4	1 209
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 207	8	1 215

Accuracy

100.0%

Counts

1 215 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.4%	(fma.f64 z x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
▶	67.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x (*.f64 z x)))
✓	68.6%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	57.1%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	26.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
▶	33.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	45.9%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 74 to 42 computations (43.2% saved)

simplify45.0ms (1%)

Memory

1.5MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(*.f64 #s(approx (- 1 x) (neg.f64 x)) y)
cost-diff	0	(fma.f64 z x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))
cost-diff	0	(*.f64 z x)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x (*.f64 z x)))
cost-diff	320	(fma.f64 (neg.f64 y) x (*.f64 z x))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- z y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- z y) (neg.f64 y)) x)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

Rules

832×	`lower-fma.f32`
828×	`lower-fma.f64`
400×	`lower-*.f32`
392×	`lower-*.f64`
216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	129
0	32	127
1	55	125
2	80	119
3	117	119
4	215	119
5	334	119
6	544	119
7	638	119
8	763	119
9	948	119
10	1013	119
11	1019	119
12	1026	119
13	1034	119
14	1038	119
0	1038	116

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1%)

Memory

3.1MiB live, 132.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	0.7538979928166806	(fma.f64 z x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))
accuracy	29.860691914656503	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(*.f64 z x)
accuracy	0	(neg.f64 y)
accuracy	0.7617104928166806	(fma.f64 (neg.f64 y) x (*.f64 z x))
accuracy	20.085810898903254	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x (*.f64 z x)))
accuracy	0	(neg.f64 y)
accuracy	0.015625	(*.f64 #s(approx (- z y) (neg.f64 y)) x)
accuracy	20.085810898903254	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
accuracy	33.67748816099194	#s(approx (- z y) (neg.f64 y))
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	27.487799375026036	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	33.007477773116996	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 89 to 18 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (57.5% of total)

ival-add: 4.0ms (20.9% of total)

ival-sub: 3.0ms (15.7% of total)

ival-neg: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-29.7MiB live, 50.6MiB allocated

Counts

14 → 360

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (neg y) x) (* z x)) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* z x) (* (- 1 x) y)) (* (- 1 x) y) (- 1 x) (neg x))
1.0ms	x	@	-inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (neg y) x) (* z x)) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* z x) (* (- 1 x) y)) (* (- 1 x) y) (- 1 x) (neg x))
1.0ms	x	@	inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (neg y) x) (* z x)) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* z x) (* (- 1 x) y)) (* (- 1 x) y) (- 1 x) (neg x))
1.0ms	x	@	0	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (neg y) x) (* z x)) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* z x) (* (- 1 x) y)) (* (- 1 x) y) (- 1 x) (neg x))
1.0ms	y	@	inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (neg y) x) (* z x)) (+ (* (- 1 x) y) (* x z)) (* z x) (+ (* z x) (* (- 1 x) y)) (* (- 1 x) y) (- 1 x) (neg x))

simplify158.0ms (3.6%)

Memory

7.9MiB live, 203.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 732×	`lower-fma.f64`
7 732×	`lower-fma.f32`
2 392×	`lower-*.f64`
2 392×	`lower-*.f32`
1 484×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2133
1	291	1713
2	832	1713
3	2165	1713
4	4313	1713
5	6340	1713
6	7373	1713
7	7923	1713
0	8067	1605

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 351

Calls

Call 1

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

rewrite192.0ms (4.4%)

Memory

30.2MiB live, 346.8MiB allocated

Rules

11 694×	`lower-fma.f32`
11 690×	`lower-fma.f64`
6 052×	`lower-*.f32`
6 044×	`lower-*.f64`
3 432×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	117
0	32	115
1	119	113
2	775	107
0	8424	107

Stop Event

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

Counts

14 → 216

Calls

Call 1

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

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

eval67.0ms (1.5%)

Memory: -19.2MiB live, 174.4MiB allocated
Compiler: Compiled 9 034 to 587 computations (93.5% saved)

prune41.0ms (0.9%)

Memory

4.2MiB live, 128.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	596	0	596
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	596	8	604

Accuracy

100.0%

Counts

604 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(fma.f64 z x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
✓	67.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x (*.f64 z x)))
✓	68.6%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	57.1%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	26.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
✓	33.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	45.9%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 152 to 63 computations (58.6% saved)

regimes18.0ms (0.4%)

Memory

3.5MiB live, 42.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))

Calls

4 calls:

5.0ms	z
4.0ms	y
4.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.3%)

Memory

-4.6MiB live, 34.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))

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

#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))

Calls

4 calls:

4.0ms	z
2.0ms	x
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
2.0ms	y

Results

Accuracy	Segments	Branch
87.7%	3	`x`
83.0%	3	`y`
79.5%	3	`z`
75.9%	5	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.2%)

Memory

-18.9MiB live, 23.0MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

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

Calls

3 calls:

4.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
74.5%	3	`z`
74.7%	3	`y`
70.0%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

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

#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))

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

Calls

4 calls:

2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
70.0%	5	`x`
53.3%	5	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
58.9%	4	`z`
61.5%	4	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.1%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-17.4MiB live, 22.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Calls

4 calls:

2.0ms	x
1.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
45.9%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
45.9%	1	`z`
45.9%	1	`y`
45.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch21.0ms (0.5%)

Memory

-13.8MiB live, 65.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7319930465270112e-73	5.826741728533001e-72
10.0ms	-1.7668209314619189e-99	-9.746094529225367e-101

Samples

10.0ms

224×

valid

Compiler

Compiled 281 to 182 computations (35.2% saved)

Precisions

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

ival-mult: 3.0ms (57.6% of total)

ival-sub: 1.0ms (19.2% of total)

ival-add: 1.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.6%)

Memory

19.5MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.213857285015737e-138	4.1120101004954835e-135
12.0ms	-8.884992746565087e-137	-1.1351371515866245e-141

Samples

14.0ms

272×

valid

Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions

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

ival-mult: 3.0ms (46.2% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (1.1%)

Memory

-6.5MiB live, 111.6MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.4988089983989333e+207	2.288227099231329e+217
8.0ms	1.7319930465270112e-73	5.826741728533001e-72
11.0ms	-1.2986141492416066e-89	-6.865737150139889e-93
10.0ms	-4.410131540936509e+160	-1.4151535634576894e+159

Samples

24.0ms

496×

valid

Compiler

Compiled 576 to 366 computations (36.5% saved)

Precisions

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

ival-mult: 7.0ms (56.6% of total)

ival-sub: 3.0ms (24.3% of total)

ival-add: 2.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7319930465270112e-73	5.826741728533001e-72
1.0ms	-1.2986141492416066e-89	-6.865737150139889e-93

Compiler

Compiled 270 to 179 computations (33.7% saved)

simplify10.0ms (0.2%)

Memory

-19.4MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	281
1	66	281
2	72	281
3	75	281
4	76	281

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(if (<=.f64 x #s(literal -7387876161823965/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8752888960812245/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 y #s(literal -4156420458282205/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 3109721077501335/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 x #s(literal -9599999999999999937802772340015285690454487271204164203766965057100845272358375511795054456798687549571444648840009907392922868086336873324018139532889337888768 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -7167183174968973/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7798028346905455/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 41999999999999996500784562320742693143591588291157105095524929788600421699950074003809022445546574763525200598972484831395733386498255551369894902685565206914618541542808154505223902783917428568881874801262592 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))))))
(if (<=.f64 x #s(literal -7167183174968973/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7798028346905455/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 z x))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(if (<=.f64 x #s(literal -7387876161823965/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8752888960812245/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 y #s(literal -4156420458282205/26815615859885194199148049996411692254958731641184786755447122887443528060147093953603748596333806855380063716372972101707507765623893139892867298012168192 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 3109721077501335/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 x #s(literal -9599999999999999937802772340015285690454487271204164203766965057100845272358375511795054456798687549571444648840009907392922868086336873324018139532889337888768 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -7167183174968973/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7798028346905455/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 41999999999999996500784562320742693143591588291157105095524929788600421699950074003809022445546574763525200598972484831395733386498255551369894902685565206914618541542808154505223902783917428568881874801262592 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))))))
(if (<=.f64 x #s(literal -7167183174968973/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7798028346905455/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 z x))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

soundness940.0ms (21.4%)

Memory

13.5MiB live, 407.6MiB allocated

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
2 600×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
1	192	442
2	558	442
3	1392	442
4	3879	442
5	6297	442
0	8009	415
0	113	2246
1	388	1796
2	1116	1796
3	2669	1796
4	5331	1796
5	7591	1796
0	8017	1634

Stop Event

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

Compiler

Compiled 224 to 110 computations (50.9% saved)

preprocess77.0ms (1.7%)

Memory: 4.8MiB live, 167.8MiB allocated
Compiler: Compiled 294 to 106 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	558	22
9	628	22
10	630	22
0	630	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	689	104
9	710	104
10	710	104
0	710	104

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	558	22
9	628	22
10	630	22
0	630	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	689	104
9	710	104
10	710	104
0	710	104

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (29.6%)

explain78.0ms (1.8%)

preprocess86.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.7%)

localize20.0ms (0.4%)

series8.0ms (0.2%)

simplify111.0ms (2.5%)

rewrite213.0ms (4.9%)

eval75.0ms (1.7%)

prune42.0ms (1%)

simplify25.0ms (0.6%)

localize36.0ms (0.8%)

series19.0ms (0.4%)

simplify130.0ms (3%)

rewrite186.0ms (4.2%)

eval169.0ms (3.8%)

prune119.0ms (2.7%)

simplify45.0ms (1%)

localize45.0ms (1%)

series19.0ms (0.4%)

simplify158.0ms (3.6%)

rewrite192.0ms (4.4%)

eval67.0ms (1.5%)

prune41.0ms (0.9%)

regimes18.0ms (0.4%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch21.0ms (0.5%)

bsearch26.0ms (0.6%)

bsearch46.0ms (1.1%)

bsearch1.0ms (0%)

simplify10.0ms (0.2%)

soundness940.0ms (21.4%)

preprocess77.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	558	22
9	628	22
10	630	22
0	630	21

Iter	Nodes	Cost
0	19	118
0	26	112
1	37	112
2	54	104
3	87	104
4	150	104
5	212	104
6	339	104
7	525	104
8	689	104
9	710	104
10	710	104
0	710	104