Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample939.0ms (19.9%)

Memory

28.5MiB live, 1 410.3MiB allocated

Samples

535.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-mult: 126.0ms (54.5% of total)

ival-sub: 53.0ms (22.9% of total)

ival-add: 39.0ms (16.9% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

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

Bogosity

explain78.0ms (1.6%)

Memory

1.3MiB live, 201.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`	nan-rescue	8	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	38

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-mult: 7.0ms (55.3% of total)

ival-sub: 3.0ms (23.7% of total)

ival-add: 2.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess95.0ms (2%)

Memory

-11.4MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
390×	`distribute-rgt-in`
370×	`unsub-neg`
314×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	83
2	178	81
3	482	66
4	1083	64
5	1866	64
6	2292	64
7	2354	64
8	2362	64
9	2362	64
0	8	9
0	12	9
1	20	9
2	27	9
3	39	7
4	50	7
5	68	7
6	111	7
7	182	7
8	370	7
9	580	7
10	670	7
11	680	7
0	680	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify35.0ms (0.7%)

Memory

4.0MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.1%)

Memory

13.3MiB live, 52.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	1.8476459291510292	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

45.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-16.2MiB live, 20.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	-inf	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	0	(* x y)
1.0ms	x	@	inf	(+ (* x y) (* (- x 1) z))
0.0ms	x	@	0	(+ (* x y) (* (- x 1) z))

simplify178.0ms (3.8%)

Memory

-7.1MiB live, 331.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
3 218×	`lower-*.f64`
3 218×	`lower-*.f32`
1 186×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite368.0ms (7.8%)

Memory

-19.2MiB live, 501.8MiB allocated

Rules

6 732×	`lower-*.f32`
6 728×	`lower-*.f64`
4 784×	`lower-fma.f64`
4 784×	`lower-fma.f32`
4 232×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	45	20
2	311	20
3	3854	20
0	10409	19

Stop Event

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

Counts

4 → 280

Calls

Call 1

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

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

eval66.0ms (1.4%)

Memory: 4.2MiB live, 74.9MiB allocated
Compiler: Compiled 9 642 to 997 computations (89.7% saved)

prune60.0ms (1.3%)

Memory

2.0MiB live, 118.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	368	6	374
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	6	375

Accuracy

100.0%

Counts

375 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
▶	75.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	63.4%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
▶	64.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
▶	40.0%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
▶	36.9%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 104 to 60 computations (42.3% saved)

simplify40.0ms (0.8%)

Memory

29.0MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

688×	`lower-fma.f32`
686×	`lower-fma.f64`
272×	`lower-*.f32`
268×	`lower-*.f64`
176×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	111
0	26	111
1	45	111
2	56	103
3	83	103
4	143	103
5	280	103
6	479	103
7	657	103
8	715	103
9	725	103
10	745	103
11	752	103
12	754	103
0	754	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.3%)

Memory

-12.0MiB live, 98.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z x (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	23.418998533578556	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(*.f64 x (+.f64 z y))
accuracy	22.740960863994022	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
accuracy	0	(*.f64 x y)
accuracy	38.40398396891475	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
accuracy	0	(neg.f64 z)
accuracy	40.36130718056126	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	1.8476459291510292	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
accuracy	31.381811175499912	#s(approx (* (- x 1) z) (neg.f64 z))

Samples

42.0ms

256×

valid

Compiler

Compiled 89 to 15 computations (83.1% saved)

Precisions

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

ival-mult: 8.0ms (56.9% of total)

ival-add: 3.0ms (21.3% of total)

ival-sub: 1.0ms (7.1% of total)

ival-neg: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

11 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

simplify192.0ms (4.1%)

Memory

-13.0MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 090×	`lower-fma.f64`
6 090×	`lower-fma.f32`
2 290×	`lower-*.f64`
2 290×	`lower-*.f32`
2 180×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	1810
1	273	1675
2	786	1675
3	2194	1675
4	4328	1675
5	5763	1675
6	6602	1675
7	7711	1675
0	8139	1675

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

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

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

rewrite275.0ms (5.8%)

Memory

-17.9MiB live, 419.2MiB allocated

Rules

9 348×	`lower-fma.f32`
9 346×	`lower-fma.f64`
4 900×	`lower-*.f32`
4 896×	`lower-*.f64`
3 054×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	26	93
1	104	93
2	752	77
0	9720	72

Stop Event

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

Counts

11 → 305

Calls

Call 1

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

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

eval97.0ms (2.1%)

Memory: 8.3MiB live, 220.5MiB allocated
Compiler: Compiled 8 766 to 733 computations (91.6% saved)

prune131.0ms (2.8%)

Memory

-1.0MiB live, 123.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	710	3	713
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	711	8	719

Accuracy

100.0%

Counts

719 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	62.5%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y)))
✓	63.4%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
✓	64.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
✓	40.0%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
✓	36.9%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	28.9%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
▶	2.5%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 64 to 36 computations (43.8% saved)

simplify35.0ms (0.7%)

Memory

-16.1MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y)))
cost-diff	192	(fma.f64 z x (*.f64 x y))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (* z x) (neg z)) (*.f64 z x))
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) z)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	21	73
1	35	71
2	49	65
3	77	65
4	135	65
5	266	65
6	466	65
7	638	65
8	670	65
9	672	65
0	672	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (1.2%)

Memory

-2.7MiB live, 39.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	1.249986238027801	(fma.f64 z x (*.f64 x y))
accuracy	22.740960863994022	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y)))
accuracy	0	(*.f64 z x)
accuracy	23.418998533578556	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
accuracy	31.5856717613607	#s(approx (+ (* z x) (neg z)) (*.f64 z x))
accuracy	62.412530586055325	#s(approx (+ (* x y) (* (- x 1) z)) z)

Samples

41.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

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

ival-mult: 5.0ms (45.8% of total)

ival-add: 3.0ms (27.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

7 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify205.0ms (4.4%)

Memory

-3.9MiB live, 184.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 202×	`lower-fma.f64`
8 202×	`lower-fma.f32`
2 872×	`lower-*.f64`
2 872×	`lower-*.f32`
1 128×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	1181
1	228	1100
2	695	1100
3	1847	1100
4	4440	1100
5	6550	1100
0	8293	1100

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite310.0ms (6.6%)

Memory

-7.6MiB live, 356.9MiB allocated

Rules

10 786×	`lower-fma.f32`
10 784×	`lower-fma.f64`
6 152×	`lower-*.f32`
6 148×	`lower-*.f64`
4 108×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	21	67
1	80	65
2	606	59
0	8473	59

Stop Event

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

Counts

7 → 118

Calls

Call 1

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

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

eval40.0ms (0.9%)

Memory: -7.9MiB live, 73.4MiB allocated
Compiler: Compiled 5 174 to 301 computations (94.2% saved)

prune27.0ms (0.6%)

Memory

23.5MiB live, 62.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	334	8	342

Accuracy

100.0%

Counts

342 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
✓	62.5%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 x y)))
✓	63.4%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
✓	64.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
✓	40.0%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
✓	36.9%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	28.9%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
✓	2.5%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 124 to 52 computations (58.1% saved)

regimes18.0ms (0.4%)

Memory

4.3MiB live, 41.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
4.0ms	y
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
4.0ms	x

Results

Accuracy	Segments	Branch
98.8%	2	`x`
96.9%	1	`y`
96.9%	1	`z`
100.0%	2	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.4%)

Memory

0.0MiB live, 35.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
4.0ms	z
4.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
87.9%	3	`y`
88.9%	3	`z`
98.9%	3	`x`
87.3%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
82.0%	3	`z`
88.1%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.2%)

Memory

-38.0MiB live, 6.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
88.1%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.7%	6	`z`
53.3%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
59.2%	4	`y`
67.0%	4	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
62.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

Memory

-17.2MiB live, 18.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
36.9%	1	`z`
36.9%	1	`y`
36.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
2.5%	1	`x`
2.5%	1	`y`
2.5%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9141540606434846e+303	4.19112296941551e+304

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch17.0ms (0.4%)

Memory

2.8MiB live, 40.6MiB 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
8.0ms	-467224206887.5504	-202244914192.44617

Samples

8.0ms

176×

valid

Compiler

Compiled 246 to 157 computations (36.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (47.5% of total)

ival-sub: 1.0ms (23.7% of total)

ival-add: 1.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.5%)

Memory

11.2MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.823034974486937e-29	3.3914973353688373e-28
15.0ms	-2.0043341078834528e-11	-3.445680273836757e-17

Samples

10.0ms

208×

valid

Compiler

Compiled 315 to 194 computations (38.4% saved)

Precisions

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

ival-mult: 3.0ms (59.8% of total)

ival-sub: 1.0ms (19.9% of total)

ival-add: 1.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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)

bsearch37.0ms (0.8%)

Memory

-29.4MiB live, 30.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
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
35.0ms	-467224206887.5504	-202244914192.44617

Samples

10.0ms

64×

valid

Compiler

Compiled 325 to 214 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 7.0ms (85.4% of total)

ival-mult: 1.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.3%)

Memory

-13.0MiB live, 24.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.3914973353688373e-28	7.183473640548282e-26
0.0ms	-467224206887.5504	-202244914192.44617

Samples

5.0ms

112×

valid

Compiler

Compiled 207 to 134 computations (35.3% saved)

Precisions

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

ival-sub: 1.0ms (38% of total)

ival-mult: 1.0ms (38% 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)

simplify10.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`neg-mul-1_binary64`
8×	`unsub-neg_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	342
1	70	342
2	75	342
3	81	342
4	88	342
5	97	342

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -320000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 6097860015223217/87112285931760246646623899502532662132736 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

Outputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y))))
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(literal 2000000000000000000323530153572912876425337292463318876590990034202234998451477495730520486068427830507559547136360674832054891641135558399286783083212052137222301492244569952354513300088401054553614654135380924225322855000394102452979796521357526782898752177094584641628255914972661310937838244526555136 binary64)) (+.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (+.f64 (.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -320000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)))))
(if (<=.f64 x #s(literal -320000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 x z))) (if (<=.f64 x #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 8474283175441637/44601490397061246283071436545296723011960832 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y)))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 6097860015223217/87112285931760246646623899502532662132736 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))))
(if (<=.f64 x #s(literal -205000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 x z))) (if (<=.f64 x #s(literal 6097860015223217/87112285931760246646623899502532662132736 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 x z)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.1s (23.4%)

Memory

-16.7MiB live, 449.8MiB allocated

Rules

9 348×	`lower-fma.f32`
9 346×	`lower-fma.f64`
9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
6 090×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	26	93
1	104	93
2	752	77
0	9720	72
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440
0	78	1810
1	273	1675
2	786	1675
3	2194	1675
4	4328	1675
5	5763	1675
6	6602	1675
7	7711	1675
0	8139	1675

Stop Event

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

Compiler

Compiled 268 to 115 computations (57.1% saved)

preprocess62.0ms (1.3%)

Memory: 33.3MiB live, 71.7MiB allocated
Compiler: Compiled 344 to 96 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	19	111
0	26	111
1	45	111
2	56	103
3	83	103
4	143	103
5	280	103
6	479	103
7	657	103
8	715	103
9	725	103
10	745	103
11	752	103
12	754	103
0	754	102

Iter	Nodes	Cost
0	18	75
0	21	73
1	35	71
2	49	65
3	77	65
4	135	65
5	266	65
6	466	65
7	638	65
8	670	65
9	672	65
0	672	65

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	19	111
0	26	111
1	45	111
2	56	103
3	83	103
4	143	103
5	280	103
6	479	103
7	657	103
8	715	103
9	725	103
10	745	103
11	752	103
12	754	103
0	754	102

Iter	Nodes	Cost
0	18	75
0	21	73
1	35	71
2	49	65
3	77	65
4	135	65
5	266	65
6	466	65
7	638	65
8	670	65
9	672	65
0	672	65

start0.0ms (0%)

analyze0.0ms (0%)

sample939.0ms (19.9%)

explain78.0ms (1.6%)

preprocess95.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.7%)

localize53.0ms (1.1%)

series10.0ms (0.2%)

simplify178.0ms (3.8%)

rewrite368.0ms (7.8%)

eval66.0ms (1.4%)

prune60.0ms (1.3%)

simplify40.0ms (0.8%)

localize63.0ms (1.3%)

series14.0ms (0.3%)

simplify192.0ms (4.1%)

rewrite275.0ms (5.8%)

eval97.0ms (2.1%)

prune131.0ms (2.8%)

simplify35.0ms (0.7%)

localize55.0ms (1.2%)

series7.0ms (0.2%)

simplify205.0ms (4.4%)

rewrite310.0ms (6.6%)

eval40.0ms (0.9%)

prune27.0ms (0.6%)

regimes18.0ms (0.4%)

regimes18.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch17.0ms (0.4%)

bsearch22.0ms (0.5%)

bsearch1.0ms (0%)

bsearch37.0ms (0.8%)

bsearch12.0ms (0.3%)

simplify10.0ms (0.2%)

soundness1.1s (23.4%)

preprocess62.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	27	24
3	39	22
4	50	22
5	68	22
6	111	22
7	182	22
8	370	22
9	580	22
10	670	22
11	680	22
0	680	22

Iter	Nodes	Cost
0	19	111
0	26	111
1	45	111
2	56	103
3	83	103
4	143	103
5	280	103
6	479	103
7	657	103
8	715	103
9	725	103
10	745	103
11	752	103
12	754	103
0	754	102

Iter	Nodes	Cost
0	18	75
0	21	73
1	35	71
2	49	65
3	77	65
4	135	65
5	266	65
6	466	65
7	638	65
8	670	65
9	672	65
0	672	65