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

0.7MiB live, 0.7MiB 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)

sample1.2s (30.2%)

Memory

36.6MiB live, 943.4MiB allocated

Samples

853.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 422.0ms

ival-mult: 192.0ms (45.5% of total)

ival-sub: 140.0ms (33.2% of total)

ival-add: 77.0ms (18.2% of total)

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

exact: 4.0ms (0.9% of total)

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

Bogosity

explain91.0ms (2.2%)

Memory

-36.9MiB live, 174.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.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	4	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	30
↳	`(*.f64 x z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 7.0ms (57% of total)

ival-sub: 3.0ms (24.4% of total)

ival-add: 2.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess81.0ms (2%)

Memory

15.0MiB live, 92.7MiB 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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify21.0ms (0.5%)

Memory

-0.7MiB live, 38.6MiB 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

localize26.0ms (0.6%)

Memory

20.9MiB live, 61.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x z)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	0.9179646216604116	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 6.0ms (69.6% of total)

ival-sub: 1.0ms (11.6% of total)

ival-add: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-16.9MiB live, 22.1MiB 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	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	y	@	inf	((+ (* (- 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 (2.7%)

Memory

-0.1MiB live, 154.7MiB 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)

rewrite216.0ms (5.3%)

Memory

0.7MiB live, 391.6MiB 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
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eval46.0ms (1.1%)

Memory: -7.3MiB live, 114.4MiB allocated
Compiler: Compiled 7 614 to 921 computations (87.9% saved)

prune8.0ms (0.2%)

Memory

32.8MiB live, 32.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	373	5	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	374	5	379

Accuracy

100.0%

Counts

379 → 5

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))
▶	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
▶	67.5%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
▶	59.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	43.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify22.0ms (0.5%)

Memory

-19.9MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x))
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	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	689	102
9	710	102
10	710	102
0	710	102

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

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

localize38.0ms (0.9%)

Memory

12.5MiB live, 95.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 z x)
accuracy	0.7617104928166806	(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 z x))
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(*.f64 (-.f64 z y) x)
accuracy	20.7669121203714	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	26.22651486363468	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0	(*.f64 z x)
accuracy	36.03898396525092	#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	0.0078125	(fma.f64 (-.f64 z y) x y)

Samples

27.0ms

256×

valid

Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.7% of total)

ival-add: 4.0ms (30.5% of total)

ival-sub: 3.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.5%)

Memory

-27.1MiB live, 51.6MiB 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 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<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 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<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>) () ())) ())
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#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 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 (+ y (* x (+ z (* -1 y)))) (taylor 0 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 0 x) (#s(alt (.f64 (-.f64 z y) x) (patch (.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor 0 x) (#s(alt (.f64 (-.f64 z y) x) (patch (.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor 0 x) (#s(alt (.f64 (-.f64 z y) x) (patch (.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor 0 x) (#s(alt (.f64 (-.f64 z y) x) (patch (.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 y))) (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 (+ (* -1 y) (/ 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 (+ (* -1 y) (/ 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 (+ (* -1 y) (/ 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 (* x (- (+ z (/ y x)) 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 (* x (- (+ z (/ y x)) 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 (* x (- (+ z (/ y x)) 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 (* x (+ z (* -1 y))) (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 (+ (* -1 y) (/ 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 (+ (* -1 y) (/ 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 (+ (* -1 y) (/ 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 (* x (+ z (* -1 y))) (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 (* 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 (* 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 (* 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 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.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 (-.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 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) y (.f64 z x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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) (+ (* (- 1 x) y) (* z x)))
2.0ms	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) (+ (* (- 1 x) y) (* z x)))
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) (+ (* (- 1 x) y) (* z x)))
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) (+ (* (- 1 x) y) (* z x)))
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) (+ (* (- 1 x) y) (* z x)))

simplify144.0ms (3.5%)

Memory

22.2MiB live, 195.2MiB 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))))))
(* x (- z y))
(* x (- z y))
(* 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)
(* 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)
(* 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)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.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)

rewrite190.0ms (4.7%)

Memory

-12.9MiB live, 264.2MiB allocated

Rules

7 498×	`lower-fma.f32`
7 494×	`lower-fma.f64`
4 900×	`lower-*.f32`
4 894×	`lower-*.f64`
2 958×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	97	86
2	594	78
3	7396	78
0	8479	78

Stop Event

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

Counts

11 → 558

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

Outputs
#<batchref>
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eval126.0ms (3.1%)

Memory: 16.6MiB live, 328.8MiB allocated
Compiler: Compiled 20 814 to 1 722 computations (91.7% saved)

prune38.0ms (0.9%)

Memory

-8.9MiB live, 113.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 084	3	1 087
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 085	7	1 092

Accuracy

100.0%

Counts

1 092 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
✓	67.5%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	59.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	27.8%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
▶	33.5%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	43.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 42 to 45 computations (-7.1% saved)

simplify45.0ms (1.1%)

Memory

-3.3MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z x)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.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`
830×	`lower-fma.f64`
400×	`lower-*.f32`
394×	`lower-*.f64`
216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	27	92
1	44	92
2	59	92
3	94	88
4	188	88
5	259	88
6	439	88
7	660	88
8	754	88
9	801	88
10	988	88
11	1071	88
12	1079	88
13	1085	88
14	1095	88
15	1099	88
0	1099	86

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

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

localize42.0ms (1%)

Memory

-3.6MiB live, 75.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0	(neg.f64 x)
accuracy	0.7617104928166806	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x))
accuracy	30.44126525258236	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(*.f64 #s(approx (- z y) (neg.f64 y)) x)
accuracy	20.7669121203714	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
accuracy	34.76186432437801	#s(approx (- z y) (neg.f64 y))
accuracy	0.0078125	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	26.22651486363468	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	32.38003172148969	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

31.0ms

256×

valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.6% of total)

ival-sub: 3.0ms (22.8% of total)

ival-add: 2.0ms (15.2% of total)

ival-neg: 2.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

11 → 264

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

Calls

9 calls:

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

simplify146.0ms (3.6%)

Memory

5.8MiB live, 160.2MiB 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	1474
1	291	1204
2	832	1204
3	2165	1204
4	4313	1204
5	6340	1204
6	7373	1204
7	7923	1204
0	8067	1123

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

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

rewrite176.0ms (4.3%)

Memory

-18.5MiB live, 263.7MiB allocated

Rules

8 620×	`lower-fma.f32`
8 618×	`lower-fma.f64`
4 728×	`lower-*.f32`
4 722×	`lower-*.f64`
2 804×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	85
0	27	85
1	98	85
2	608	85
3	6974	85
0	8027	83

Stop Event

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

Counts

11 → 148

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

Outputs
#<batchref>
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eval45.0ms (1.1%)

Memory: 12.9MiB live, 96.4MiB allocated
Compiler: Compiled 5 238 to 500 computations (90.5% saved)

prune15.0ms (0.4%)

Memory

-2.0MiB live, 34.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	405	7	412

Accuracy

100.0%

Counts

412 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
✓	67.5%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	59.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	27.8%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
✓	33.5%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	43.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 101 to 72 computations (28.7% saved)

regimes18.0ms (0.4%)

Memory

-12.0MiB live, 26.5MiB allocated

Counts

9 → 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))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (*.f64 z x))
(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:

7.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
4.0ms	z
3.0ms	y
3.0ms	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 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.4%)

Memory

-22.8MiB live, 22.3MiB 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:

7.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
87.7%	3	`x`
83.9%	3	`y`
79.5%	3	`z`
73.3%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB 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:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
75.6%	3	`z`
77.1%	3	`y`
66.9%	4	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

3 → 4

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

Results

Accuracy	Segments	Branch
66.4%	4	`x`
50.3%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
60.3%	5	`z`
62.2%	5	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

-33.5MiB live, 4.7MiB 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:

5.0ms

Results

Accuracy	Segments	Branch
63.9%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB 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:

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

Results

Accuracy	Segments	Branch
43.7%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
43.7%	1	`z`
43.7%	1	`y`
43.7%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch32.0ms (0.8%)

Memory

15.4MiB live, 53.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1533348803392242e-42	2.4767754302290835e-33
17.0ms	-2.4480193817631025e-138	-9.274981318695349e-152

Samples

14.0ms

304×

valid

Compiler

Compiled 221 to 299 computations (-35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.3% of total)

ival-sub: 2.0ms (28.2% of total)

ival-add: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.7%)

Memory

0.5MiB live, 37.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.668118840235764e-56	3.285761831935536e-55
17.0ms	-1.5641386025234705e-68	-1.5641102684456335e-76

Samples

16.0ms

240×

valid

Compiler

Compiled 162 to 224 computations (-38.3% saved)

Precisions

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

ival-mult: 3.0ms (52.5% of total)

ival-sub: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.8%)

Memory

8.1MiB live, 51.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	66240975299042580.0	1.2231767021532604e+30
17.0ms	1.1533348803392242e-42	2.4767754302290835e-33
1.0ms	-2.4480193817631025e-138	-9.274981318695349e-152

Samples

14.0ms

288×

valid

Compiler

Compiled 283 to 420 computations (-48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (58.1% of total)

ival-sub: 2.0ms (29.1% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.2%)

Memory

-32.8MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1533348803392242e-42	2.4767754302290835e-33
5.0ms	-2.4480193817631025e-138	-9.274981318695349e-152

Compiler

Compiled 183 to 280 computations (-53% saved)

simplify28.0ms (0.7%)

Memory

25.8MiB live, 64.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	259
1	61	259
2	67	259
3	70	259
4	71	259

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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 1461501637330903/11692013098647223345629478661730264157247460343808 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 -93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184 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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 430000000000000028253637050368 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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 1461501637330903/11692013098647223345629478661730264157247460343808 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 -93248106826835/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 3588908100331093/27606985387162255149739023449108101809804435888681546220650096895197184 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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 430000000000000028253637050368 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 -4022342378982779/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 5363734393030611/766247770432944429179173513575154591809369561091801088 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))

soundness944.0ms (23.1%)

Memory

1.7MiB live, 404.1MiB 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 166 to 116 computations (30.1% saved)

preprocess46.0ms (1.1%)

Memory: -28.7MiB live, 129.3MiB allocated
Compiler: Compiled 256 to 112 computations (56.3% 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	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	689	102
9	710	102
10	710	102
0	710	102

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	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	689	102
9	710	102
10	710	102
0	710	102

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (30.2%)

explain91.0ms (2.2%)

preprocess81.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.5%)

localize26.0ms (0.6%)

series9.0ms (0.2%)

simplify111.0ms (2.7%)

rewrite216.0ms (5.3%)

eval46.0ms (1.1%)

prune8.0ms (0.2%)

simplify22.0ms (0.5%)

localize38.0ms (0.9%)

series19.0ms (0.5%)

simplify144.0ms (3.5%)

rewrite190.0ms (4.7%)

eval126.0ms (3.1%)

prune38.0ms (0.9%)

simplify45.0ms (1.1%)

localize42.0ms (1%)

series12.0ms (0.3%)

simplify146.0ms (3.6%)

rewrite176.0ms (4.3%)

eval45.0ms (1.1%)

prune15.0ms (0.4%)

regimes18.0ms (0.4%)

regimes15.0ms (0.4%)

regimes7.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch32.0ms (0.8%)

bsearch28.0ms (0.7%)

bsearch34.0ms (0.8%)

bsearch6.0ms (0.2%)

simplify28.0ms (0.7%)

soundness944.0ms (23.1%)

preprocess46.0ms (1.1%)

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	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	689	102
9	710	102
10	710	102
0	710	102