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

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample914.0ms (15.6%)

Memory

4.6MiB live, 907.4MiB allocated

Samples

504.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 125.0ms (47.2% of total)

ival-sub: 72.0ms (27.2% of total)

ival-add: 56.0ms (21.2% of total)

ival-true: 5.0ms (1.9% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain198.0ms (3.4%)

Memory

-9.5MiB live, 113.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
11	3	(-3.3582414030018597e+215 8.328743381253064e+247 -4.955617980169388e+211)	-	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
0	0	-	-	`y`
0	0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x z)`
0	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	14	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	34
↳	`(*.f64 x z)`	overflow	27

Confusion

	Predicted +	Predicted -
+	11	0
-	3	242

Precision

0.7857142857142857

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	3	0	242

Precision?

0.7857142857142857

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 85 to 42 computations (50.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 111.0ms (95.4% of total)

ival-sub: 3.0ms (2.6% of total)

ival-add: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess126.0ms (2.1%)

Memory

11.2MiB live, 50.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify89.0ms (1.5%)

Memory

-19.3MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x z)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	2.4570209291510294	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Samples

12.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (52.9% of total)

ival-sub: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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	@	inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (* x z))

simplify226.0ms (3.9%)

Memory

5.0MiB live, 80.7MiB 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)

rewrite416.0ms (7.1%)

Memory

-3.3MiB live, 305.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 284

Calls

Call 1

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

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

eval90.0ms (1.5%)

Memory: -2.0MiB live, 84.1MiB allocated
Compiler: Compiled 7 614 to 921 computations (87.9% saved)

prune278.0ms (4.8%)

Memory

4.8MiB live, 82.3MiB 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
▶	96.9%	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
▶	63.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
▶	64.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	39.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify189.0ms (3.2%)

Memory

-16.5MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.2%)

Memory

7.1MiB live, 50.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	2.003884230844482	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0	(-.f64 z y)
accuracy	0.01171875	(*.f64 (-.f64 z y) x)
accuracy	23.50156528829972	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy	23.015843680927397	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy	0	(*.f64 z x)
accuracy	38.87005845661091	#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	0.00390625	(fma.f64 (-.f64 z y) x y)

Samples

61.0ms

256×

valid

Compiler

Compiled 99 to 15 computations (84.8% saved)

Precisions

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

ival-mult: 6.0ms (51.8% of total)

ival-add: 3.0ms (25.9% of total)

ival-sub: 2.0ms (17.3% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.9%)

Memory

-7.1MiB live, 30.4MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify456.0ms (7.8%)

Memory

-0.3MiB live, 168.3MiB 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)

rewrite278.0ms (4.8%)

Memory

22.5MiB live, 253.7MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

11 → 648

Calls

Call 1

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

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

eval287.0ms (4.9%)

Memory: -11.5MiB live, 299.4MiB allocated
Compiler: Compiled 24 794 to 1 914 computations (92.3% saved)

prune369.0ms (6.3%)

Memory

6.9MiB live, 384.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 207	2	1 209
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 207	7	1 214

Accuracy

100.0%

Counts

1 214 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
✓	63.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	64.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	28.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
▶	38.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	39.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 42 to 45 computations (-7.1% saved)

simplify43.0ms (0.7%)

Memory

-17.7MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
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

704×	`lower-fma.f64`
704×	`lower-fma.f32`
336×	`lower-*.f32`
332×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	582	63
8	671	63
9	700	63
10	786	63
11	836	63
12	842	63
13	846	63
14	852	63
15	856	63
0	856	61

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

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

localize27.0ms (0.5%)

Memory

18.8MiB live, 57.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.01171875	(*.f64 #s(approx (- z y) (neg.f64 y)) x)
accuracy	23.50156528829972	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
accuracy	28.94891956666095	#s(approx (- z y) (neg.f64 y))
accuracy	0.015625	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	23.015843680927397	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy	30.625603357274112	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 42 to 13 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55.2% of total)

ival-sub: 2.0ms (18.4% of total)

ival-add: 1.0ms (9.2% of total)

ival-neg: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-18.9MiB live, 22.9MiB allocated

Counts

7 → 180

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>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y))
1.0ms	y	@	inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y))
1.0ms	x	@	-inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y))
0.0ms	x	@	inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y))
0.0ms	z	@	-inf	((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y))

simplify154.0ms (2.6%)

Memory

16.2MiB live, 128.7MiB 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	1062
1	291	852
2	832	852
3	2165	852
4	4313	852
5	6340	852
6	7373	852
7	7923	852
0	8067	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

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)
(* 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)
(* -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)
(+ (* 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)
(* 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))
(* -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
(+ 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))
(* 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))
(* -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))

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

rewrite153.0ms (2.6%)

Memory

7.3MiB live, 171.2MiB allocated

Rules

5 862×	`lower-fma.f64`
5 862×	`lower-fma.f32`
4 604×	`lower-*.f32`
4 600×	`lower-*.f64`
1 818×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	19	63
1	69	63
2	456	63
3	5243	59
0	9698	55

Stop Event

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

Counts

7 → 41

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)

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

eval77.0ms (1.3%)

Memory: -19.5MiB live, 62.1MiB allocated
Compiler: Compiled 1 496 to 186 computations (87.6% saved)

prune13.0ms (0.2%)

Memory

-14.6MiB live, 22.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	215	7	222

Accuracy

100.0%

Counts

222 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
✓	63.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
✓	64.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	28.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
✓	38.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
✓	39.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

Compiler

Compiled 93 to 69 computations (25.8% saved)

regimes14.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

8 → 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 z x (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.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:

3.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
3.0ms	x
3.0ms	z
3.0ms	y

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)

regimes14.0ms (0.2%)

Memory

-12.0MiB live, 23.7MiB 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 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))

Calls

4 calls:

6.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
85.8%	3	`x`
81.6%	3	`y`
79.3%	3	`z`
72.5%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.0%	3	`z`
77.2%	3	`y`
71.0%	5	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

-29.3MiB live, 17.6MiB allocated

Counts

3 → 6

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

Calls

4 calls:

6.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
70.4%	6	`x`
50.4%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
58.4%	5	`z`
55.4%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.3%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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	y
1.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
39.3%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
39.3%	1	`z`
39.3%	1	`y`
39.3%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch23.0ms (0.4%)

Memory

-0.8MiB live, 37.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	336953503.1894894	10345507924952.818
8.0ms	-2.853092527681691e-51	-5.728832408504144e-52

Samples

13.0ms

224×

valid

Compiler

Compiled 180 to 224 computations (-24.4% saved)

Precisions

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

ival-mult: 3.0ms (60.3% of total)

ival-sub: 1.0ms (20.1% of total)

ival-add: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Memory

9.9MiB live, 47.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.3467241586656365e-80	2.564059024637809e-67
9.0ms	-1.5584375707874093e-9	-6.46427763574597e-12

Samples

12.0ms

272×

valid

Compiler

Compiled 182 to 252 computations (-38.5% saved)

Precisions

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

ival-mult: 3.0ms (49% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch54.0ms (0.9%)

Memory

11.1MiB live, 89.6MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
6.0ms	5.992067777258769e+251	1.6966474190891914e+252
18.0ms	0.00874941106363912	336953503.1894894
1.0ms	-2.853092527681691e-51	-5.728832408504144e-52
10.0ms	-1.5194906006195157e+73	-4.955380345371444e+70
15.0ms	-7.811871951716599e+259	-6.175986828107961e+253

Samples

26.0ms

512×

valid

Compiler

Compiled 396 to 566 computations (-42.9% saved)

Precisions

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

ival-sub: 6.0ms (40% of total)

ival-mult: 6.0ms (40% of total)

ival-add: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

-18.4MiB live, 18.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.1197002436984496e-22	2.0254526946794677e-21
1.0ms	-2.853092527681691e-51	-5.728832408504144e-52

Samples

4.0ms

96×

valid

Compiler

Compiled 120 to 182 computations (-51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (48.2% of total)

ival-mult: 1.0ms (48.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.5%)

Memory

19.6MiB live, 57.4MiB 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	54	296
1	68	296
2	74	296
3	77	296
4	78	296

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 -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 350000000 binary64)) #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))))
(if (<=.f64 y #s(literal -2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 -22499999999999998397411411708252044579726634718260473775215083315783077145476868615174292682425611219955673769814820179322226595121275257761521073086077512484859225366780605286042001183472186016131712061266001893842282524433201642073730349227447132450778513408 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal -4200000000000000273982121985105010362698231977509208540801700209339924480 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 719999999999999994062632668424216300400670671889443741504030283043640262202489374237831755829983309666169914337594036810331104055037981520298585443752762975748665674578677255355317328426036284673212719710042533442802267739639358024301429491353683755008 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7975367974709495/10633823966279326983230456482242756608 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 -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 350000000 binary64)) #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))))
(if (<=.f64 y #s(literal -2011652563838743/77371252455336267181195264 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1018517988167243/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 -22499999999999998397411411708252044579726634718260473775215083315783077145476868615174292682425611219955673769814820179322226595121275257761521073086077512484859225366780605286042001183472186016131712061266001893842282524433201642073730349227447132450778513408 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal -4200000000000000273982121985105010362698231977509208540801700209339924480 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (if (<=.f64 x #s(literal 719999999999999994062632668424216300400670671889443741504030283043640262202489374237831755829983309666169914337594036810331104055037981520298585443752762975748665674578677255355317328426036284673212719710042533442802267739639358024301429491353683755008 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 #s(approx (- z y) (neg.f64 y)) x)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -8627182933488205/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 z x)) (if (<=.f64 x #s(literal 7975367974709495/10633823966279326983230456482242756608 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))

soundness1.1s (18%)

Memory

-14.3MiB live, 386.2MiB 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 181 to 117 computations (35.4% saved)

preprocess48.0ms (0.8%)

Memory: -8.6MiB live, 151.8MiB allocated
Compiler: Compiled 294 to 126 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	582	63
8	671	63
9	700	63
10	786	63
11	836	63
12	842	63
13	846	63
14	852	63
15	856	63
0	856	61

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

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

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	582	63
8	671	63
9	700	63
10	786	63
11	836	63
12	842	63
13	846	63
14	852	63
15	856	63
0	856	61

start0.0ms (0%)

analyze0.0ms (0%)

sample914.0ms (15.6%)

explain198.0ms (3.4%)

preprocess126.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (1.5%)

localize18.0ms (0.3%)

series8.0ms (0.1%)

simplify226.0ms (3.9%)

rewrite416.0ms (7.1%)

eval90.0ms (1.5%)

prune278.0ms (4.8%)

simplify189.0ms (3.2%)

localize70.0ms (1.2%)

series53.0ms (0.9%)

simplify456.0ms (7.8%)

rewrite278.0ms (4.8%)

eval287.0ms (4.9%)

prune369.0ms (6.3%)

simplify43.0ms (0.7%)

localize27.0ms (0.5%)

series13.0ms (0.2%)

simplify154.0ms (2.6%)

rewrite153.0ms (2.6%)

eval77.0ms (1.3%)

prune13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch27.0ms (0.5%)

bsearch54.0ms (0.9%)

bsearch13.0ms (0.2%)

simplify27.0ms (0.5%)

soundness1.1s (18%)

preprocess48.0ms (0.8%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	582	63
8	671	63
9	700	63
10	786	63
11	836	63
12	842	63
13	846	63
14	852	63
15	856	63
0	856	61