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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (18.8%)

Memory

19.0MiB live, 886.0MiB allocated

Samples

733.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 169.0ms (44.3% of total)

ival-add: 105.0ms (27.5% of total)

ival-sub: 95.0ms (24.9% of total)

ival-true: 6.0ms (1.6% of total)

exact: 4.0ms (1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain145.0ms (2.5%)

Memory

-41.9MiB live, 164.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`	nan-rescue	5	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	45
↳	`(*.f64 x z)`	overflow	22

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 15.0ms (61.6% of total)

ival-mult: 7.0ms (28.8% of total)

ival-add: 2.0ms (8.2% of total)

ival-true: 1.0ms (4.1% of total)

exact: 0.0ms (0% of total)

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

preprocess91.0ms (1.6%)

Memory

35.9MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (0.6%)

Memory

-1.4MiB live, 78.3MiB 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 x (-.f64 z y) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 y (*.f64 x y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z

localize24.0ms (0.4%)

Memory

-15.1MiB live, 62.3MiB 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	1.2031167433208234	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (51.4% of total)

ival-sub: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% 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

-17.3MiB live, 21.7MiB 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 (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 (* 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 (* -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 (* 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 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 (-.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 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 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 (.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 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 (* 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 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 (* 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 #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 #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 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 (* -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 (* -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 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) (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 (* 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 (* 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 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 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>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (- 1 x) y) (* x z))
1.0ms	y	@	inf	(* (- 1 x) y)
1.0ms	y	@	0	(+ (* (- 1 x) y) (* x z))
0.0ms	x	@	0	(+ (* (- 1 x) y) (* x z))
0.0ms	y	@	-inf	(+ (* (- 1 x) y) (* x z))

simplify175.0ms (3%)

Memory

14.0MiB live, 252.3MiB 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	471
1	192	442
2	558	442
3	1394	442
4	3883	442
5	6288	442
0	8011	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite389.0ms (6.6%)

Memory

16.7MiB live, 486.3MiB 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 y (fma.f64 y (neg.f64 x) (*.f64 x z)))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))
(+.f64 (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z)))))
(+.f64 (fma.f64 x z y) (neg.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z (.f64 y (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (neg.f64 x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 #s(literal 1 binary64) z) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (neg.f64 x) (*.f64 x z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 y (/.f64 (.f64 y (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)))))
(fma.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)))))
(fma.f64 z x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 x z) #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) (*.f64 x z))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (*.f64 x z))
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(fma.f64 (.f64 y y) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (.f64 x z))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z)))))
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(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x z))
(*.f64 x z)
(.f64 x (.f64 #s(literal 1 binary64) z))
(*.f64 x (pow.f64 z #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 z)))
(*.f64 z x)
(.f64 (.f64 x z) #s(literal 1 binary64))
(.f64 (.f64 z #s(literal 1 binary64)) x)
(*.f64 (pow.f64 z #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 z)) x)

eval44.0ms (0.8%)

Memory: 3.0MiB live, 77.9MiB allocated
Compiler: Compiled 9 726 to 905 computations (90.7% saved)

prune50.0ms (0.8%)

Memory

8.0MiB live, 90.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	374	4	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	375	4	379

Accuracy

100.0%

Counts

379 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
▶	68.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (-.f64 y (*.f64 y x)))
▶	65.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
▶	36.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Compiler

Compiled 35 to 19 computations (45.7% saved)

simplify29.0ms (0.5%)

Memory

-6.0MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	430	85
7	576	85
8	665	85
9	667	85
0	667	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

18.0MiB live, 99.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x (-.f64 z y) y)
accuracy	0	(-.f64 z y)
accuracy	0	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
accuracy	0	(-.f64 y (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	20.225631642582027	#s(approx (+ (* (- 1 x) y) (* x z)) (-.f64 y (*.f64 y x)))
accuracy	0	(-.f64 z y)
accuracy	0.0078125	(*.f64 x (-.f64 z y))
accuracy	22.18971522547912	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
accuracy	0	(*.f64 x z)
accuracy	40.822644366425315	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Samples

27.0ms

256×

valid

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.5% of total)

ival-sub: 5.0ms (31.6% of total)

ival-add: 3.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-6.7MiB live, 32.7MiB allocated

Counts

10 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- y (* y x))
0.0ms	x	@	0	(* x (- z y))
0.0ms	z	@	-inf	(* x (- z y))
0.0ms	x	@	inf	(* x (- z y))
0.0ms	z	@	inf	(* x (- z y))

simplify156.0ms (2.7%)

Memory

11.1MiB live, 202.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 234×	`lower-fma.f64`
6 234×	`lower-fma.f32`
2 200×	`lower-*.f64`
2 200×	`lower-*.f32`
1 400×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1612
1	376	1612
2	1058	1612
3	2833	1612
4	5436	1612
5	7100	1612
6	7904	1612
0	8042	1477

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 303

Calls

Call 1

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

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

rewrite863.0ms (14.7%)

Memory

-49.0MiB live, 375.8MiB allocated

Rules

8 882×	`lower-fma.f32`
8 880×	`lower-fma.f64`
6 132×	`lower-*.f32`
6 126×	`lower-*.f64`
3 866×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	87
1	97	87
2	718	72
0	8555	72

Stop Event

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

Counts

10 → 438

Calls

Call 1

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

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

eval111.0ms (1.9%)

Memory: 24.7MiB live, 213.3MiB allocated
Compiler: Compiled 19 905 to 1 176 computations (94.1% saved)

prune142.0ms (2.4%)

Memory

0.4MiB live, 210.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	830	1	831
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	830	5	835

Accuracy

100.0%

Counts

835 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
✓	68.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (-.f64 y (*.f64 y x)))
✓	65.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
▶	33.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))
✓	36.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify40.0ms (0.7%)

Memory

-11.3MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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 x #s(approx (- z y) (neg.f64 y)))
cost-diff	0	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))

Rules

656×	`lower-fma.f64`
656×	`lower-fma.f32`
288×	`lower-*.f32`
286×	`lower-*.f64`
168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	564	34
8	654	34
9	673	34
10	719	34
11	742	34
12	744	34
13	746	34
14	749	34
15	751	34
0	751	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

-11.4MiB live, 66.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(*.f64 x #s(approx (- z y) (neg.f64 y)))
accuracy	22.18971522547912	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))
accuracy	25.450221976183624	#s(approx (- z y) (neg.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

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

ival-mult: 5.0ms (44.7% of total)

ival-sub: 4.0ms (35.8% of total)

ival-add: 1.0ms (8.9% of total)

ival-neg: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 108

Calls

Call 1

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

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* (- 1 x) y) (* x z))
0.0ms	y	@	inf	(neg y)
0.0ms	x	@	-inf	(* x (- z y))
0.0ms	x	@	-inf	(+ (* (- 1 x) y) (* x z))
0.0ms	x	@	inf	(+ (* (- 1 x) y) (* x z))

simplify201.0ms (3.4%)

Memory

19.2MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 488×	`lower-fma.f64`
6 488×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
1 360×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	482
1	258	482
2	742	482
3	2104	482
4	4168	482
5	5957	482
6	6973	482
0	8212	455

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

rewrite321.0ms (5.4%)

Memory

-7.0MiB live, 393.5MiB allocated

Rules

5 862×	`lower-fma.f64`
5 862×	`lower-fma.f32`
4 600×	`lower-*.f32`
4 598×	`lower-*.f64`
1 818×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
0	15	34
1	64	34
2	451	34
3	5238	30
0	9691	28

Stop Event

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

Counts

4 → 37

Calls

Call 1

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

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

eval14.0ms (0.2%)

Memory: 4.2MiB live, 42.0MiB allocated
Compiler: Compiled 1 021 to 85 computations (91.7% saved)

prune11.0ms (0.2%)

Memory

-8.3MiB live, 29.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	140	6	146

Accuracy

100.0%

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
✓	68.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (-.f64 y (*.f64 y x)))
▶	3.6%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) y) x))
✓	65.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
✓	33.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))
✓	36.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Compiler

Compiled 52 to 28 computations (46.2% saved)

simplify41.0ms (0.7%)

Memory

13.6MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

656×	`lower-fma.f64`
656×	`lower-fma.f32`
288×	`lower-*.f32`
286×	`lower-*.f64`
168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	529	29
8	697	29
9	728	29
10	771	29
11	796	29
12	798	29
13	800	29
14	803	29
15	805	29
0	805	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.5%)

Memory

-18.2MiB live, 67.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (- z y) y) x)
accuracy	22.18971522547912	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) y) x))
accuracy	62.71916711873294	#s(approx (- z y) y)

Samples

22.0ms

256×

valid

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

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

ival-mult: 8.0ms (65.7% of total)

ival-sub: 3.0ms (24.6% of total)

ival-add: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs

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

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

#s(alt #s(approx (- z y) y) (patch #s(approx (- z y) y) #<representation binary64>) () ())

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

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* (- z y) x)
0.0ms	z	@	inf	(* (- z y) x)
0.0ms	x	@	0	(+ (* (- 1 x) y) (* x z))
0.0ms	x	@	inf	(* (- z y) x)
0.0ms	x	@	-inf	(* (- z y) x)

simplify368.0ms (6.3%)

Memory

13.3MiB live, 208.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 488×	`lower-fma.f64`
6 488×	`lower-fma.f32`
2 664×	`lower-*.f64`
2 664×	`lower-*.f32`
1 350×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	458
1	258	458
2	742	458
3	2113	458
4	4172	458
5	5944	458
6	6961	458
0	8204	431

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

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

rewrite258.0ms (4.4%)

Memory

-22.8MiB live, 416.3MiB allocated

Rules

6 252×	`lower-fma.f64`
6 252×	`lower-fma.f32`
4 924×	`lower-*.f32`
4 922×	`lower-*.f64`
1 942×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
0	13	29
1	60	29
2	436	29
3	5049	29
0	8989	28

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 23.9MiB live, 23.9MiB allocated
Compiler: Compiled 669 to 22 computations (96.7% saved)

prune28.0ms (0.5%)

Memory

-22.6MiB live, 15.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	100	6	106

Accuracy

100.0%

Counts

106 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
✓	68.4%	#s(approx (+ (* (- 1 x) y) (* x z)) (-.f64 y (*.f64 y x)))
✓	3.6%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) y) x))
✓	65.3%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
✓	33.7%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))
✓	36.2%	#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Compiler

Compiled 98 to 43 computations (56.1% saved)

regimes42.0ms (0.7%)

Memory

-4.2MiB live, 34.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	x
3.0ms	z
3.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x 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 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
88.5%	3	`x`
86.1%	3	`y`
80.8%	3	`z`
80.0%	5	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Memory

-15.3MiB live, 29.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.3%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
65.3%	1	`z`
65.3%	1	`y`
65.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.2%)

Memory

-11.1MiB live, 28.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))

Results

Accuracy	Segments	Branch
52.6%	3	`z`
46.5%	3	`x`
53.3%	3	`y`
47.3%	3	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Accuracy

Total -21.2b remaining (-51.8%)

Threshold costs -21.2b (-51.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.2%	1	`x`
36.2%	1	`(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x z))`
36.2%	1	`z`
36.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch36.0ms (0.6%)

Memory

-17.7MiB live, 60.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.003282572362156914	446155718403.9405
11.0ms	-2.0192891099855723e-65	-1.0701795723435638e-69

Samples

24.0ms

288×

valid

Compiler

Compiled 375 to 230 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 13.0ms (79.5% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.8%)

Memory

-27.0MiB live, 67.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.386014750152526e+39	2.1492007665100474e+40
11.0ms	-9.624071565339075e-92	-4.031551463125497e-98

Samples

10.0ms

224×

valid

Compiler

Compiled 267 to 168 computations (37.1% saved)

Precisions

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

ival-mult: 3.0ms (59.5% of total)

ival-sub: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	154
1	50	154
2	61	154
3	66	154
4	69	154
5	70	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
(if (<=.f64 x #s(literal -8062834757772801/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 x (-.f64 z y))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (-.f64 y (.f64 y x))) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
(if (<=.f64 y #s(literal -3302638007025703/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 y #s(literal 9799999999999999741604430835734173188096 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 x z)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 x (-.f64 z y) y))
(if (<=.f64 x #s(literal -8062834757772801/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 x (-.f64 z y))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (-.f64 y (.f64 y x))) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))))
(if (<=.f64 x #s(literal -8062834757772801/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 x (-.f64 z y))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (-.f64 y (.f64 x y))) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x (-.f64 z y)))
(if (<=.f64 y #s(literal -3302638007025703/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 y #s(literal 9799999999999999741604430835734173188096 binary64)) #s(approx (+ ( (- 1 x) y) (* x z)) (.f64 x z)) #s(approx (+ ( (- 1 x) y) (* x z)) (*.f64 x #s(approx (- z y) (neg.f64 y))))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 x z))

soundness877.0ms (14.9%)

Memory

5.8MiB live, 359.4MiB allocated

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 234×	`lower-fma.f64`
6 234×	`lower-fma.f32`
2 438×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1612
1	376	1612
2	1058	1612
3	2833	1612
4	5436	1612
5	7100	1612
6	7904	1612
0	8042	1477
0	57	471
1	192	442
2	558	442
3	1394	442
4	3883	442
5	6288	442
0	8011	415

Stop Event

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

Compiler

Compiled 120 to 57 computations (52.5% saved)

preprocess50.0ms (0.8%)

Memory: -15.8MiB live, 140.1MiB allocated
Compiler: Compiled 184 to 74 computations (59.8% 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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	430	85
7	576	85
8	665	85
9	667	85
0	667	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	564	34
8	654	34
9	673	34
10	719	34
11	742	34
12	744	34
13	746	34
14	749	34
15	751	34
0	751	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	529	29
8	697	29
9	728	29
10	771	29
11	796	29
12	798	29
13	800	29
14	803	29
15	805	29
0	805	28

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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	430	85
7	576	85
8	665	85
9	667	85
0	667	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	564	34
8	654	34
9	673	34
10	719	34
11	742	34
12	744	34
13	746	34
14	749	34
15	751	34
0	751	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	529	29
8	697	29
9	728	29
10	771	29
11	796	29
12	798	29
13	800	29
14	803	29
15	805	29
0	805	28

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (18.8%)

explain145.0ms (2.5%)

preprocess91.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.6%)

localize24.0ms (0.4%)

series8.0ms (0.1%)

simplify175.0ms (3%)

rewrite389.0ms (6.6%)

eval44.0ms (0.8%)

prune50.0ms (0.8%)

simplify29.0ms (0.5%)

localize42.0ms (0.7%)

series15.0ms (0.2%)

simplify156.0ms (2.7%)

rewrite863.0ms (14.7%)

eval111.0ms (1.9%)

prune142.0ms (2.4%)

simplify40.0ms (0.7%)

localize31.0ms (0.5%)

series3.0ms (0.1%)

simplify201.0ms (3.4%)

rewrite321.0ms (5.4%)

eval14.0ms (0.2%)

prune11.0ms (0.2%)

simplify41.0ms (0.7%)

localize29.0ms (0.5%)

series3.0ms (0%)

simplify368.0ms (6.3%)

rewrite258.0ms (4.4%)

eval9.0ms (0.2%)

prune28.0ms (0.5%)

regimes42.0ms (0.7%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch36.0ms (0.6%)

bsearch48.0ms (0.8%)

simplify8.0ms (0.1%)

soundness877.0ms (14.9%)

preprocess50.0ms (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	18	97
0	24	100
1	40	100
2	59	85
3	90	85
4	166	85
5	277	85
6	430	85
7	576	85
8	665	85
9	667	85
0	667	85

Iter	Nodes	Cost
0	13	36
0	15	36
1	27	36
2	41	36
3	70	34
4	138	34
5	204	34
6	351	34
7	564	34
8	654	34
9	673	34
10	719	34
11	742	34
12	744	34
13	746	34
14	749	34
15	751	34
0	751	33

Iter	Nodes	Cost
0	12	31
0	13	31
1	23	31
2	36	31
3	65	29
4	126	29
5	199	29
6	332	29
7	529	29
8	697	29
9	728	29
10	771	29
11	796	29
12	798	29
13	800	29
14	803	29
15	805	29
0	805	28