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

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample853.0ms (15.4%)

Memory

12.5MiB live, 958.3MiB allocated

Samples

615.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult: 124.0ms (52.9% of total)

ival-add: 53.0ms (22.6% of total)

ival-sub: 45.0ms (19.2% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain80.0ms (1.4%)

Memory

19.1MiB live, 106.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.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	5	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	38

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

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: 7.0ms (56.3% of total)

ival-sub: 3.0ms (24.1% of total)

ival-add: 2.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess90.0ms (1.6%)

Memory

9.3MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
179×	`unsub-neg`
173×	`distribute-rgt-in`
147×	`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 (-.f64 y z) x z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify28.0ms (0.5%)

Memory

-6.6MiB live, 29.1MiB 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

304×	`lower-fma.f64`
304×	`lower-fma.f32`
120×	`lower-*.f32`
118×	`lower-*.f64`
76×	`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 (-.f64 y z) x z)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
z

localize33.0ms (0.6%)

Memory

-6.2MiB live, 36.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.1601500574906174	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

25.0ms

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: 4.0ms (64.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% 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

13.2MiB live, 13.2MiB 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)
0.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	-inf	(+ (* x y) (* (- 1 x) z))

simplify270.0ms (4.9%)

Memory

-129.7MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 736×	`lower-fma.f64`
3 736×	`lower-fma.f32`
1 219×	`lower-*.f64`
1 219×	`lower-*.f32`
745×	`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 (-.f64 y z) x z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(+ z (* x (+ y (* -1 z))))
(fma.f64 (-.f64 y z) x z)
(* x (+ y (* -1 z)))
(*.f64 (-.f64 y z) x)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* x (+ y (+ (* -1 z) (/ z x))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (* -1 y))))
(*.f64 (-.f64 y z) x)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(fma.f64 (-.f64 y z) x z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* y (+ x (/ (* z (- 1 x)) y)))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(+ (* x y) (* z (- 1 x)))
(fma.f64 (-.f64 y z) x z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* z (- (+ 1 (/ (* x y) z)) x))
(fma.f64 (-.f64 y z) x z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(fma.f64 (-.f64 y z) x z)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
z
(+ z (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(+ z (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(+ z (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* x (+ (* -1 z) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* x (+ (* -1 z) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* x (+ (* -1 z) (/ z x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(* z (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
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)

rewrite586.0ms (10.6%)

Memory

5.7MiB live, 434.4MiB allocated

Rules

3 386×	`lower-*.f32`
3 384×	`lower-*.f64`
3 196×	`lower-fma.f64`
3 196×	`lower-fma.f32`
1 745×	`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 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) z (.f64 y x)) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (.f64 (.f64 y y) x) x)) (.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) z (.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (.f64 (.f64 y y) x) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) z (.f64 y x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 x x)) x (.f64 (neg.f64 (.f64 (.f64 z z) z)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 z z)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (.f64 (.f64 y y) x) x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (.f64 (.f64 y y) x) x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 z z)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 x x)) x (.f64 (neg.f64 (.f64 (.f64 z z) z)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 x x)) x (.f64 (neg.f64 (.f64 (.f64 z z) z)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))))
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(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval153.0ms (2.8%)

Memory: 12.2MiB live, 128.4MiB allocated
Compiler: Compiled 11 295 to 1 115 computations (90.1% saved)

prune150.0ms (2.7%)

Memory

3.4MiB live, 123.1MiB 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
▶	98.4%	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	64.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	64.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	40.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 92 to 54 computations (41.3% saved)

simplify27.0ms (0.5%)

Memory

-12.9MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

304×	`lower-fma.f32`
302×	`lower-fma.f64`
120×	`lower-*.f32`
117×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	693	102
9	714	102
10	714	102
0	714	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.5%)

Memory

3.8MiB live, 99.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 y x)
accuracy	1.0078014904222408	(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0.01171875	(*.f64 (-.f64 y z) x)
accuracy	22.714254481089718	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	22.89458806557434	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0	(*.f64 y x)
accuracy	38.31624071440786	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
accuracy	0	(-.f64 y z)
accuracy	0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
accuracy	0.00390625	(fma.f64 (-.f64 y z) x z)

Samples

28.0ms

256×

valid

Compiler

Compiled 97 to 15 computations (84.5% saved)

Precisions

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

ival-mult: 6.0ms (39.8% of total)

ival-sub: 5.0ms (33.2% of total)

ival-add: 3.0ms (19.9% 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

-11.8MiB live, 25.0MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+ (* (- y z) x) z)
1.0ms	z	@	inf	(+ (* (- 1 x) z) (* y x))
0.0ms	y	@	-inf	(+ (* (- y z) x) z)
0.0ms	y	@	inf	(+ (* (- y z) x) z)
0.0ms	x	@	-inf	(+ (* (- y z) x) z)

simplify172.0ms (3.1%)

Memory

-10.7MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 396×	`lower-fma.f64`
3 396×	`lower-fma.f32`
1 293×	`lower-*.f64`
1 293×	`lower-*.f32`
702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1796
1	388	1796
2	1116	1796
3	2668	1796
4	5317	1796
5	7565	1796
0	8018	1634

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

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

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

rewrite287.0ms (5.2%)

Memory

15.7MiB live, 360.0MiB allocated

Rules

4 965×	`lower-fma.f32`
4 963×	`lower-fma.f64`
3 040×	`lower-*.f32`
3 037×	`lower-*.f64`
1 909×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	99	86
2	681	78
0	8500	78

Stop Event

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

Counts

11 → 648

Calls

Call 1

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

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

eval234.0ms (4.2%)

Memory: 32.7MiB live, 312.7MiB allocated
Compiler: Compiled 32 161 to 1 327 computations (95.9% saved)

prune355.0ms (6.4%)

Memory

-14.2MiB live, 270.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 157	3	1 160
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 158	7	1 165

Accuracy

100.0%

Counts

1 165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	64.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	64.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	29.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	36.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	40.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 63 to 36 computations (42.9% saved)

simplify50.0ms (0.9%)

Memory

-7.8MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

416×	`lower-fma.f32`
415×	`lower-fma.f64`
200×	`lower-*.f32`
197×	`lower-*.f64`
108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	27	92
1	44	92
2	59	92
3	94	88
4	188	88
5	259	88
6	439	88
7	662	88
8	756	88
9	803	88
10	990	88
11	1071	88
12	1077	88
13	1083	88
14	1093	88
15	1097	88
0	1097	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.3%)

Memory

-30.5MiB live, 65.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 x)
accuracy	1.0078014904222408	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (*.f64 y x))
accuracy	31.712831443305692	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	22.714254481089718	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	30.02135153832853	#s(approx (- y z) (neg.f64 z))
accuracy	0.0078125	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	22.89458806557434	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	31.560953268057013	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (66.5% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

11 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

simplify233.0ms (4.2%)

Memory

23.3MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 866×	`lower-fma.f64`
3 866×	`lower-fma.f32`
1 196×	`lower-*.f64`
1 196×	`lower-*.f32`
742×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1204
1	291	1204
2	832	1204
3	2169	1204
4	4308	1204
5	6349	1204
6	7380	1204
7	7955	1204
0	8099	1123

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 257

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 (* -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))))
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)))))
(* -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)))))
(* 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 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))))))
(* 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))
(+ (* 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)))))
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))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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)

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

rewrite243.0ms (4.4%)

Memory

4.2MiB live, 298.1MiB allocated

Rules

4 243×	`lower-fma.f32`
4 242×	`lower-fma.f64`
2 423×	`lower-*.f32`
2 420×	`lower-*.f64`
1 433×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	85
0	27	85
1	98	85
2	614	85
3	7201	85
0	8053	83

Stop Event

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

Counts

11 → 142

Calls

Call 1

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

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

eval44.0ms (0.8%)

Memory: 17.1MiB live, 124.0MiB allocated
Compiler: Compiled 6 566 to 375 computations (94.3% saved)

prune97.0ms (1.7%)

Memory

4.1MiB live, 141.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	399	0	399
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	399	7	406

Accuracy

100.0%

Counts

406 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.9%	(fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	64.5%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	64.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	29.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	36.9%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	40.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 125 to 54 computations (56.8% saved)

regimes15.0ms (0.3%)

Memory

2.3MiB live, 40.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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)

regimes16.0ms (0.3%)

Memory

-14.4MiB live, 28.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
88.1%	3	`x`
82.2%	3	`y`
82.9%	3	`z`
74.9%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.2%)

Memory

-18.8MiB live, 19.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
77.1%	3	`y`
80.2%	3	`z`
66.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.5%	4	`x`
53.9%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
59.5%	4	`y`
62.2%	6	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-20.9MiB live, 17.7MiB 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 y x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.1%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
40.1%	1	`z`
40.1%	1	`y`
40.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch23.0ms (0.4%)

Memory

15.3MiB live, 53.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.823034974486937e-29	3.3914973353688373e-28
13.0ms	-2.0043341078834528e-11	-3.445680273836757e-17

Samples

11.0ms

240×

valid

Compiler

Compiled 315 to 209 computations (33.7% saved)

Precisions

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

ival-mult: 3.0ms (55.9% of total)

ival-sub: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Memory

-19.8MiB live, 57.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.5799970901214925e-147	1.89910554201006e-144
13.0ms	-9.032272632168662e-101	-5.899280377924277e-102

Samples

10.0ms

224×

valid

Compiler

Compiled 267 to 182 computations (31.8% saved)

Precisions

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

ival-mult: 3.0ms (56.5% of total)

ival-sub: 1.0ms (18.8% of total)

ival-add: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
3.0ms	3.823034974486937e-29	3.3914973353688373e-28
1.0ms	-2.0043341078834528e-11	-3.445680273836757e-17
6.0ms	-467224206887.5504	-202244914192.44617

Samples

5.0ms

112×

valid

Compiler

Compiled 360 to 234 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (38.1% of total)

ival-mult: 1.0ms (38.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.823034974486937e-29	3.3914973353688373e-28
1.0ms	-2.0043341078834528e-11	-3.445680273836757e-17

Compiler

Compiled 270 to 179 computations (33.7% saved)

simplify31.0ms (0.6%)

Memory

-20.2MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	257
1	59	257
2	65	257
3	68	257
4	69	257

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 4906163943676737/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -3546180557675503/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 2284604661291467/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (<=.f64 x #s(literal -280000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 501766766966939/5575186299632655785383929568162090376495104 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 501766766966939/5575186299632655785383929568162090376495104 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 4906163943676737/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -3546180557675503/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 2284604661291467/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (<=.f64 x #s(literal -280000000000 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 501766766966939/5575186299632655785383929568162090376495104 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)))))
(if (<=.f64 x #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 501766766966939/5575186299632655785383929568162090376495104 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

soundness1.1s (19%)

Memory

7.7MiB live, 380.0MiB allocated

Rules

3 736×	`lower-fma.f64`
3 736×	`lower-fma.f32`
3 396×	`lower-fma.f64`
3 396×	`lower-fma.f32`
1 293×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1796
1	388	1796
2	1116	1796
3	2668	1796
4	5317	1796
5	7565	1796
0	8018	1634
0	57	471
1	192	442
2	558	442
3	1390	442
4	3891	442
5	6310	442
0	8026	415

Stop Event

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

Compiler

Compiled 214 to 100 computations (53.3% saved)

preprocess172.0ms (3.1%)

Memory: -25.9MiB live, 56.2MiB allocated
Compiler: Compiled 256 to 80 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	19	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	693	102
9	714	102
10	714	102
0	714	102

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

Iter	Nodes	Cost
0	19	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	693	102
9	714	102
10	714	102
0	714	102

start0.0ms (0%)

analyze0.0ms (0%)

sample853.0ms (15.4%)

explain80.0ms (1.4%)

preprocess90.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.5%)

localize33.0ms (0.6%)

series7.0ms (0.1%)

simplify270.0ms (4.9%)

rewrite586.0ms (10.6%)

eval153.0ms (2.8%)

prune150.0ms (2.7%)

simplify27.0ms (0.5%)

localize85.0ms (1.5%)

series17.0ms (0.3%)

simplify172.0ms (3.1%)

rewrite287.0ms (5.2%)

eval234.0ms (4.2%)

prune355.0ms (6.4%)

simplify50.0ms (0.9%)

localize74.0ms (1.3%)

series8.0ms (0.1%)

simplify233.0ms (4.2%)

rewrite243.0ms (4.4%)

eval44.0ms (0.8%)

prune97.0ms (1.7%)

regimes15.0ms (0.3%)

regimes16.0ms (0.3%)

regimes8.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch27.0ms (0.5%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

simplify31.0ms (0.6%)

soundness1.1s (19%)

preprocess172.0ms (3.1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	19	116
0	26	110
1	37	110
2	54	102
3	87	102
4	150	102
5	212	102
6	339	102
7	525	102
8	693	102
9	714	102
10	714	102
0	714	102