Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample680.0ms (10.9%)

Memory

18.6MiB live, 1 044.9MiB allocated

Samples

416.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 112.0ms (56.4% of total)

ival-sub: 39.0ms (19.6% of total)

ival-add: 35.0ms (17.6% of total)

ival-true: 5.0ms (2.5% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain191.0ms (3.1%)

Memory

-11.5MiB live, 127.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	26

Confusion

	Predicted +	Predicted -
+	2	0
-	0	254

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	0	0	254

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-mult: 6.0ms (49.3% of total)

ival-sub: 3.0ms (24.7% of total)

ival-add: 2.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess254.0ms (4.1%)

Memory

-32.0MiB live, 84.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1125	64
5	1893	63
6	2270	63
7	2306	63
8	2310	63
9	2310	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	557	7
9	624	7
10	626	7
0	626	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval2.0ms (0%)

Memory: 3.4MiB live, 3.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify31.0ms (0.5%)

Memory

4.5MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
cost-diff	0	(*.f64 x y)
cost-diff	448	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) 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	557	22
9	624	22
10	626	22
0	626	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-0.5MiB live, 37.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.4570291858302058	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

13.0ms

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 (50.3% of total)

ival-sub: 1.0ms (16.8% of total)

ival-add: 1.0ms (16.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify263.0ms (4.2%)

Memory

11.6MiB live, 242.0MiB 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	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite465.0ms (7.5%)

Memory

26.2MiB live, 568.2MiB allocated

Rules

6 772×	`lower-*.f32`
6 768×	`lower-*.f64`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
3 490×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3845	20
0	11265	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

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

eval54.0ms (0.9%)

Memory: -10.8MiB live, 144.2MiB allocated
Compiler: Compiled 11 295 to 1 111 computations (90.2% saved)

prune87.0ms (1.4%)

Memory

-1.6MiB live, 182.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 z (fma.f64 z (neg.f64 x) (*.f64 x y)))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
▶	63.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
▶	62.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
▶	40.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 94 to 52 computations (44.7% saved)

simplify28.0ms (0.4%)

Memory

-16.3MiB live, 63.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(neg.f64 x)
cost-diff	128	(+.f64 z (fma.f64 z (neg.f64 x) (*.f64 x y)))
cost-diff	320	(fma.f64 z (neg.f64 x) (*.f64 x y))
cost-diff	0	(*.f64 z x)
cost-diff	0	(-.f64 z (*.f64 z x))
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 x (-.f64 y z))
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))
cost-diff	0	(-.f64 y z)
cost-diff	0	(fma.f64 x (-.f64 y z) z)
cost-diff	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	121
0	31	122
1	55	104
2	84	104
3	133	104
4	222	104
5	378	104
6	561	104
7	650	104
8	651	104
0	651	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.4%)

Memory

-11.5MiB live, 109.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 x)
accuracy	0.01171875	(+.f64 z (fma.f64 z (neg.f64 x) (*.f64 x y)))
accuracy	0.2539034976055602	(fma.f64 z (neg.f64 x) (*.f64 x y))
accuracy	0	(*.f64 z x)
accuracy	0.0078125	(-.f64 z (*.f64 z x))
accuracy	23.205485921149535	#s(approx (+ (* x y) (* (- 1 x) z)) (-.f64 z (*.f64 z x)))
accuracy	0	(-.f64 y z)
accuracy	0.01171875	(*.f64 x (-.f64 y z))
accuracy	24.133063142203877	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
accuracy	0	(*.f64 x y)
accuracy	38.152977451226704	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))
accuracy	0	(-.f64 y z)
accuracy	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
accuracy	0.00390625	(fma.f64 x (-.f64 y z) z)

Samples

31.0ms

256×

valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

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

ival-mult: 8.0ms (48.5% of total)

ival-add: 4.0ms (24.3% of total)

ival-sub: 3.0ms (18.2% of total)

ival-neg: 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)

series17.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

13 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify181.0ms (2.9%)

Memory

3.3MiB live, 157.9MiB 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	2031
1	376	2031
2	1058	2031
3	2837	2031
4	5442	2031
5	7112	2031
6	7923	2031
0	8060	1869

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 386

Calls

Call 1

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

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

rewrite730.0ms (11.7%)

Memory

-33.5MiB live, 248.6MiB allocated

Rules

8 728×	`lower-fma.f32`
8 724×	`lower-fma.f64`
4 158×	`lower-*.f32`
4 152×	`lower-*.f64`
3 474×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	31	103
1	132	85
2	1099	85
0	8365	85

Stop Event

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

Counts

13 → 534

Calls

Call 1

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

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

eval361.0ms (5.8%)

Memory: 32.5MiB live, 187.1MiB allocated
Compiler: Compiled 18 466 to 951 computations (94.8% saved)

prune140.0ms (2.3%)

Memory

-9.6MiB live, 260.9MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 004	4	1 008
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 006	7	1 013

Accuracy

100.0%

Counts

1 013 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(+.f64 z #s(approx (+ (* z (neg x)) (* x y)) (*.f64 x y)))
▶	61.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x (*.f64 x y)))
▶	63.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
✓	62.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
▶	26.6%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
✓	40.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 64 to 35 computations (45.3% saved)

simplify47.0ms (0.8%)

Memory

17.7MiB live, 54.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

720×	`lower-fma.f32`
716×	`lower-fma.f64`
320×	`lower-*.f32`
316×	`lower-*.f64`
192×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
0	31	122
1	52	114
2	78	108
3	118	108
4	203	108
5	326	108
6	522	108
7	644	108
8	695	108
9	758	108
10	793	108
11	797	108
12	799	108
13	802	108
14	804	108
0	804	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize71.0ms (1.1%)

Memory

-6.1MiB live, 121.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.01171875	(+.f64 z #s(approx (+ (* z (neg x)) (* x y)) (*.f64 x y)))
accuracy	29.83092049380576	#s(approx (+ (* z (neg x)) (* x y)) (*.f64 x y))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.2539034976055602	(fma.f64 (neg.f64 z) x (*.f64 x y))
accuracy	24.133063142203877	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x (*.f64 x y)))
accuracy	0	(fma.f64 (neg.f64 z) x z)
accuracy	0	(neg.f64 z)
accuracy	23.205485921149535	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 x #s(approx (- y z) (neg.f64 z)))
accuracy	24.133063142203877	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
accuracy	31.79786184550495	#s(approx (- y z) (neg.f64 z))

Samples

53.0ms

256×

valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sub: 16.0ms (40.2% of total)

ival-mult: 13.0ms (32.7% of total)

ival-neg: 6.0ms (15.1% of total)

ival-add: 5.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-9.2MiB live, 29.3MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify183.0ms (2.9%)

Memory

-6.2MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 688×	`lower-fma.f64`
7 688×	`lower-fma.f32`
2 806×	`lower-*.f64`
2 806×	`lower-*.f32`
1 772×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1682
1	346	1682
2	988	1682
3	2460	1682
4	4688	1682
5	6449	1682
6	7773	1682
0	8297	1574

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 328

Calls

Call 1

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

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

rewrite640.0ms (10.3%)

Memory

11.9MiB live, 446.3MiB allocated

Rules

10 474×	`lower-fma.f32`
10 470×	`lower-fma.f64`
5 428×	`lower-*.f32`
5 424×	`lower-*.f64`
3 664×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
0	31	105
1	130	97
2	860	91
0	8869	88

Stop Event

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

Counts

11 → 213

Calls

Call 1

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

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

eval74.0ms (1.2%)

Memory: 28.2MiB live, 145.4MiB allocated
Compiler: Compiled 8 352 to 610 computations (92.7% saved)

prune60.0ms (1%)

Memory

-21.1MiB live, 146.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	627	0	627
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	627	7	634

Accuracy

100.0%

Counts

634 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.1%	(+.f64 z #s(approx (+ (* z (neg x)) (* x y)) (*.f64 x y)))
✓	61.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x (*.f64 x y)))
✓	63.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
✓	62.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
✓	26.6%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x #s(approx (- y z) (neg.f64 z))))
✓	40.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Compiler

Compiled 134 to 56 computations (58.2% saved)

regimes17.0ms (0.3%)

Memory

-2.2MiB live, 36.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Memory

-15.7MiB live, 24.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
98.7%	3	`x`
90.4%	3	`y`
89.9%	3	`z`
88.5%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
76.6%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
83.8%	3	`z`
81.7%	3	`y`
85.3%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
85.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-21.5MiB live, 17.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
62.3%	1	`y`
62.3%	1	`z`
62.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.1%	3	`y`
46.0%	3	`x`
52.6%	3	`z`
45.0%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.4%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
40.4%	1	`x`
40.4%	1	`z`
40.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch30.0ms (0.5%)

Memory

-28.3MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7367071911012673e-19	31226.00889603649
12.0ms	-6894264214954732000.0	-16455990605919.803

Samples

15.0ms

320×

valid

Compiler

Compiled 415 to 254 computations (38.8% saved)

Precisions

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

ival-mult: 4.0ms (54% of total)

ival-sub: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.5%)

Memory

-4.1MiB live, 44.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1018460.8389215128	12854911805369.744
11.0ms	-1542956.5010315562	-0.0003599701115447435

Samples

20.0ms

288×

valid

Compiler

Compiled 375 to 230 computations (38.7% saved)

Precisions

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

ival-mult: 11.0ms (81.4% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1018460.8389215128	12854911805369.744
1.0ms	-1542956.5010315562	-0.0003599701115447435

Compiler

Compiled 375 to 230 computations (38.7% saved)

bsearch53.0ms (0.8%)

Memory

-5.0MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.954788552846716e-56	1.859591865851564e-39
11.0ms	-2.040761217344257e-5	-1.3645726939429022e-10

Samples

14.0ms

304×

valid

Compiler

Compiled 357 to 223 computations (37.5% saved)

Precisions

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

ival-mult: 4.0ms (56.7% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-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	49	254
1	65	254
2	76	254
3	81	254
4	84	254
5	85	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 z #s(approx (+ ( z (neg x)) (* x y)) (.f64 x y))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 z x))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
(if (<=.f64 y #s(literal -5609415803011879/38685626227668133590597632 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x y)) (if (<=.f64 y #s(literal 4290987514424489/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 x #s(approx (- y z) (neg.f64 z)))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x y))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 x (-.f64 y z) z))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 z #s(approx (+ ( z (neg x)) (* x y)) (.f64 x y))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (fma.f64 (neg.f64 z) x z)) #s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 z x))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x (-.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (-.f64 z (.f64 x z))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x (-.f64 y z)))
(if (<=.f64 y #s(literal -5609415803011879/38685626227668133590597632 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 x y)) (if (<=.f64 y #s(literal 4290987514424489/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 x #s(approx (- y z) (neg.f64 z)))) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 x y))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 x y))

soundness1.3s (20.2%)

Memory

-19.8MiB live, 601.2MiB allocated

Rules

8 728×	`lower-fma.f32`
8 724×	`lower-fma.f64`
7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 772×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	2031
1	376	2031
2	1058	2031
3	2837	2031
4	5442	2031
5	7112	2031
6	7923	2031
0	8060	1869
0	8	20
0	12	20
1	44	20
2	314	20
3	3845	20
0	11265	19
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415
0	21	102
0	31	103
1	132	85
2	1099	85
0	8365	85

Stop Event

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

Compiler

Compiled 238 to 105 computations (55.9% saved)

preprocess94.0ms (1.5%)

Memory: 3.3MiB live, 80.2MiB allocated
Compiler: Compiled 264 to 82 computations (68.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	21	121
0	31	122
1	55	104
2	84	104
3	133	104
4	222	104
5	378	104
6	561	104
7	650	104
8	651	104
0	651	104

Iter	Nodes	Cost
0	23	124
0	31	122
1	52	114
2	78	108
3	118	108
4	203	108
5	326	108
6	522	108
7	644	108
8	695	108
9	758	108
10	793	108
11	797	108
12	799	108
13	802	108
14	804	108
0	804	105

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	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	21	121
0	31	122
1	55	104
2	84	104
3	133	104
4	222	104
5	378	104
6	561	104
7	650	104
8	651	104
0	651	104

Iter	Nodes	Cost
0	23	124
0	31	122
1	52	114
2	78	108
3	118	108
4	203	108
5	326	108
6	522	108
7	644	108
8	695	108
9	758	108
10	793	108
11	797	108
12	799	108
13	802	108
14	804	108
0	804	105

start0.0ms (0%)

analyze0.0ms (0%)

sample680.0ms (10.9%)

explain191.0ms (3.1%)

preprocess254.0ms (4.1%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.5%)

localize21.0ms (0.3%)

series7.0ms (0.1%)

simplify263.0ms (4.2%)

rewrite465.0ms (7.5%)

eval54.0ms (0.9%)

prune87.0ms (1.4%)

simplify28.0ms (0.4%)

localize90.0ms (1.4%)

series17.0ms (0.3%)

simplify181.0ms (2.9%)

rewrite730.0ms (11.7%)

eval361.0ms (5.8%)

prune140.0ms (2.3%)

simplify47.0ms (0.8%)

localize71.0ms (1.1%)

series14.0ms (0.2%)

simplify183.0ms (2.9%)

rewrite640.0ms (10.3%)

eval74.0ms (1.2%)

prune60.0ms (1%)

regimes17.0ms (0.3%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch30.0ms (0.5%)

bsearch32.0ms (0.5%)

bsearch1.0ms (0%)

bsearch53.0ms (0.8%)

simplify9.0ms (0.1%)

soundness1.3s (20.2%)

preprocess94.0ms (1.5%)

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	557	22
9	624	22
10	626	22
0	626	21

Iter	Nodes	Cost
0	21	121
0	31	122
1	55	104
2	84	104
3	133	104
4	222	104
5	378	104
6	561	104
7	650	104
8	651	104
0	651	104

Iter	Nodes	Cost
0	23	124
0	31	122
1	52	114
2	78	108
3	118	108
4	203	108
5	326	108
6	522	108
7	644	108
8	695	108
9	758	108
10	793	108
11	797	108
12	799	108
13	802	108
14	804	108
0	804	105