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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.9%)

Memory

-37.4MiB live, 1.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (22.5%)

Memory

27.8MiB live, 1 445.4MiB allocated

Samples

801.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 140.0ms (43.8% of total)

ival-sub: 104.0ms (32.5% of total)

ival-add: 60.0ms (18.8% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain81.0ms (1.6%)

Memory

20.8MiB live, 189.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(+.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	7	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	34

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 8.0ms (52.6% of total)

ival-sub: 3.0ms (19.7% of total)

ival-add: 3.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess102.0ms (2%)

Memory

-20.6MiB live, 98.4MiB 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))
(fma.f64 (+.f64 z y) x (neg.f64 z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify22.0ms (0.4%)

Memory

4.0MiB live, 40.9MiB 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))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z

localize21.0ms (0.4%)

Memory

17.4MiB live, 54.1MiB 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	1.510962101824699	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (48.7% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-18.1MiB live, 25.6MiB 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 (* 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 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 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 #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 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 (* 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 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 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 (.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 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 (.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 -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 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) (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 (* -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 -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 (+ 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 (* 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 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 (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 (* -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 (* 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 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 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

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	-inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	x	@	inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	x	@	-inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	z	@	inf	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))
1.0ms	y	@	0	((+ (* x y) (* (- x 1) z)) (* x y) (* (- x 1) z) (- x 1))

simplify119.0ms (2.4%)

Memory

12.0MiB live, 196.6MiB 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	494
1	180	440
2	532	440
3	1339	440
4	4403	440
0	8080	440

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite212.0ms (4.2%)

Memory

7.6MiB live, 346.3MiB 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
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eval51.0ms (1%)

Memory: -29.4MiB live, 122.0MiB allocated
Compiler: Compiled 7 790 to 1 014 computations (87% saved)

prune9.0ms (0.2%)

Memory

35.7MiB live, 35.7MiB 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
▶	98.8%	(fma.f64 y x (*.f64 z (-.f64 x #s(literal 1 binary64))))
	75.3%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
▶	67.9%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
▶	43.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
▶	34.6%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 68 to 74 computations (-8.8% saved)

simplify23.0ms (0.5%)

Memory

-7.6MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 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	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
cost-diff	0	(+.f64 z y)
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(*.f64 z (-.f64 x #s(literal 1 binary64)))
cost-diff	192	(fma.f64 y x (*.f64 z (-.f64 x #s(literal 1 binary64))))

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
240×	`lower-*.f32`
232×	`lower-*.f64`
160×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	105
0	28	101
1	40	101
2	52	101
3	68	96
4	92	96
5	139	96
6	237	96
7	409	96
8	572	96
9	667	96
10	683	96
0	683	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize277.0ms (5.5%)

Memory

-30.4MiB live, 96.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	24.655662591587003	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(*.f64 (+.f64 z y) x)
accuracy	20.519148665423717	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy	0	(*.f64 y x)
accuracy	36.158150549015154	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
accuracy	0	(neg.f64 z)
accuracy	41.84982901156378	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 z (-.f64 x #s(literal 1 binary64)))
accuracy	0.7629680244373345	(fma.f64 y x (*.f64 z (-.f64 x #s(literal 1 binary64))))

Samples

26.0ms

256×

valid

Compiler

Compiled 89 to 16 computations (82% saved)

Precisions

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

ival-mult: 8.0ms (56.2% of total)

ival-add: 3.0ms (21.1% of total)

ival-sub: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

12 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify217.0ms (4.3%)

Memory

-21.8MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 766×	`lower-fma.f64`
7 766×	`lower-fma.f32`
2 870×	`lower-*.f64`
2 870×	`lower-*.f32`
1 512×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	1975
1	275	1705
2	787	1705
3	2169	1705
4	4776	1705
5	6788	1705
0	8060	1705

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 328

Calls

Call 1

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

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

rewrite233.0ms (4.6%)

Memory

-2.0MiB live, 185.7MiB allocated

Rules

6 544×	`lower-fma.f32`
6 542×	`lower-fma.f64`
5 322×	`lower-*.f32`
5 314×	`lower-*.f64`
2 344×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	28	85
1	95	85
2	484	85
3	5387	85
0	8914	80

Stop Event

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

Counts

12 → 453

Calls

Call 1

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

Outputs
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eval384.0ms (7.7%)

Memory: 32.7MiB live, 194.2MiB allocated
Compiler: Compiled 12 554 to 1 538 computations (87.7% saved)

prune42.0ms (0.8%)

Memory

-23.5MiB live, 57.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	870	3	873
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	872	7	879

Accuracy

100.0%

Counts

879 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(fma.f64 y x #s(approx (* z (- x 1)) (*.f64 z x)))
▶	75.3%	(fma.f64 y x #s(approx (* z (- x 1)) (neg.f64 z)))
✓	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	67.9%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	43.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	34.6%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	29.8%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify46.0ms (0.9%)

Memory

-4.2MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

768×	`lower-fma.f32`
764×	`lower-fma.f64`
304×	`lower-*.f32`
302×	`lower-*.f64`
200×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	22	84
1	37	84
2	42	84
3	53	82
4	80	82
5	131	82
6	241	82
7	412	82
8	593	82
9	740	82
10	776	82
11	816	82
12	830	82
13	834	82
0	834	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.3%)

Memory

9.3MiB live, 45.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.7629680244373345	(fma.f64 y x #s(approx (* z (- x 1)) (*.f64 z x)))
accuracy	29.775333422194556	#s(approx (* z (- x 1)) (*.f64 z x))
accuracy	0	(neg.f64 z)
accuracy	0.7629680244373345	(fma.f64 y x #s(approx (* z (- x 1)) (neg.f64 z)))
accuracy	32.61875954544134	#s(approx (* z (- x 1)) (neg.f64 z))
accuracy	0	(*.f64 z x)
accuracy	24.655662591587003	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy	29.775333422194556	#s(approx (* (- x 1) z) (*.f64 z x))

Samples

58.0ms

256×

valid

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 43.0ms (89.3% of total)

ival-add: 2.0ms (4.2% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

9 calls:

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

simplify106.0ms (2.1%)

Memory

-26.5MiB live, 100.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 934×	`lower-fma.f64`
4 934×	`lower-fma.f32`
2 128×	`lower-*.f64`
2 128×	`lower-*.f32`
1 206×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	1272
1	166	1110
2	488	1110
3	1246	1110
4	3699	1110
5	6857	1110
0	8071	1110

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite178.0ms (3.5%)

Memory

5.8MiB live, 276.8MiB allocated

Rules

8 656×	`lower-fma.f32`
8 652×	`lower-fma.f64`
4 920×	`lower-*.f32`
4 918×	`lower-*.f64`
2 894×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
0	22	73
1	89	73
2	556	73
3	6426	73
0	8053	72

Stop Event

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

Counts

8 → 182

Calls

Call 1

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

Outputs
#<batchref>
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eval51.0ms (1%)

Memory: 8.1MiB live, 166.2MiB allocated
Compiler: Compiled 6 588 to 546 computations (91.7% saved)

prune12.0ms (0.2%)

Memory

9.4MiB live, 48.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	428	0	428
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	428	7	435

Accuracy

100.0%

Counts

435 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	(fma.f64 y x #s(approx (* z (- x 1)) (*.f64 z x)))
✓	75.3%	(fma.f64 y x #s(approx (* z (- x 1)) (neg.f64 z)))
✓	61.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
✓	67.9%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
✓	43.5%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
✓	34.6%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	29.8%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))

Compiler

Compiled 98 to 68 computations (30.6% saved)

regimes132.0ms (2.6%)

Memory

2.2MiB live, 41.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

120.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes38.0ms (0.8%)

Memory

-23.6MiB live, 71.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	y
4.0ms	x
3.0ms	z
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
89.0%	3	`z`
99.5%	3	`x`
86.9%	3	`y`
86.3%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
79.0%	3	`y`
83.9%	3	`z`
86.9%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

-31.1MiB live, 8.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.9%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.7%	5	`y`
61.7%	5	`z`
58.5%	6	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
68.0%	5	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.1%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

-20.7MiB live, 18.8MiB 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)) (neg.f64 z))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
34.6%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
34.6%	1	`y`
34.6%	1	`z`
34.6%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch25.0ms (0.5%)

Memory

15.5MiB live, 56.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.010345676109384e-9	4.621067446323819e-7
13.0ms	-3.077477969416148e+22	-21221103278179544.0

Samples

13.0ms

256×

valid

Compiler

Compiled 204 to 238 computations (-16.7% saved)

Precisions

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

ival-mult: 3.0ms (49.2% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

-7.0MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.010345676109384e-9	4.621067446323819e-7
4.0ms	-8.744249513028166e-63	-7.249366697175247e-63

Samples

7.0ms

144×

valid

Compiler

Compiled 132 to 164 computations (-24.2% saved)

Precisions

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

ival-mult: 2.0ms (56% of total)

ival-sub: 1.0ms (28% of total)

ival-add: 1.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Memory

6.8MiB live, 45.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2596501192273416e-41	2.512694332325231e-9
0.0ms	-8.744249513028166e-63	-7.249366697175247e-63

Samples

11.0ms

176×

valid

Compiler

Compiled 138 to 196 computations (-42% saved)

Precisions

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

ival-mult: 4.0ms (62.3% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

-21.5MiB live, 59.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.55285406982817e+28	1.45508902970766e+31
1.0ms	1.2596501192273416e-41	2.512694332325231e-9
0.0ms	-8.744249513028166e-63	-7.249366697175247e-63
9.0ms	-2.6718528259510806e+137	-3.377229495629295e+136

Samples

12.0ms

224×

valid

Compiler

Compiled 236 to 364 computations (-54.2% saved)

Precisions

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

ival-mult: 3.0ms (55.2% of total)

ival-sub: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

33.6MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.010345676109384e-9	4.621067446323819e-7
12.0ms	-21221103278179544.0	-8765337.542036692

Samples

7.0ms

144×

valid

Compiler

Compiled 140 to 222 computations (-58.6% saved)

Precisions

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

ival-mult: 2.0ms (54.4% of total)

ival-sub: 1.0ms (27.2% of total)

ival-add: 1.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify88.0ms (1.7%)

Memory

-9.3MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`
8×	`+-commutative-binary64-+.f64`
8×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	322
1	67	322
2	72	322
3	78	322
4	85	322
5	94	322

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z (-.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -21500000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8500259669165361/18889465931478580854784 binary64)) (fma.f64 y x #s(approx ( z (- x 1)) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5742397643169489/302231454903657293676544 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 4192540097323757/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -81999999999999995256128475224507200267887815072813960962457017605053537613401668797542956472971007306705241945517485182048040950492561408 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 4192540097323757/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 1449999999999999902168966496256 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -9000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal 8500259669165361/18889465931478580854784 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Outputs
(fma.f64 y x (*.f64 z (-.f64 x #s(literal 1 binary64))))
(fma.f64 y x (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(if (<=.f64 x #s(literal -21500000000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8500259669165361/18889465931478580854784 binary64)) (fma.f64 y x #s(approx ( z (- x 1)) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 5742397643169489/302231454903657293676544 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 4192540097323757/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -81999999999999995256128475224507200267887815072813960962457017605053537613401668797542956472971007306705241945517485182048040950492561408 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 y x)) (if (<=.f64 x #s(literal 4192540097323757/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 1449999999999999902168966496256 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -81999999999999995256128475224507200267887815072813960962457017605053537613401668797542956472971007306705241945517485182048040950492561408 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal -1736881338559743/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 4192540097323757/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 1449999999999999902168966496256 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x y)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -9000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (.f64 z x))) (if (<=.f64 x #s(literal 8500259669165361/18889465931478580854784 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

soundness1.1s (21.9%)

Memory

-11.6MiB live, 509.4MiB allocated

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
7 766×	`lower-fma.f64`
7 766×	`lower-fma.f32`
6 732×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1975
1	275	1705
2	787	1705
3	2169	1705
4	4776	1705
5	6788	1705
0	8060	1705
0	54	494
1	180	440
2	532	440
3	1339	440
4	4403	440
0	8080	440
0	8	20
0	12	20
1	45	20
2	311	20
3	3854	20
0	10409	19

Stop Event

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

Compiler

Compiled 240 to 134 computations (44.2% saved)

preprocess65.0ms (1.3%)

Memory: -7.4MiB live, 149.2MiB allocated
Compiler: Compiled 306 to 112 computations (63.4% 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	20	105
0	28	101
1	40	101
2	52	101
3	68	96
4	92	96
5	139	96
6	237	96
7	409	96
8	572	96
9	667	96
10	683	96
0	683	96

Iter	Nodes	Cost
0	17	84
0	22	84
1	37	84
2	42	84
3	53	82
4	80	82
5	131	82
6	241	82
7	412	82
8	593	82
9	740	82
10	776	82
11	816	82
12	830	82
13	834	82
0	834	82

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	20	105
0	28	101
1	40	101
2	52	101
3	68	96
4	92	96
5	139	96
6	237	96
7	409	96
8	572	96
9	667	96
10	683	96
0	683	96

Iter	Nodes	Cost
0	17	84
0	22	84
1	37	84
2	42	84
3	53	82
4	80	82
5	131	82
6	241	82
7	412	82
8	593	82
9	740	82
10	776	82
11	816	82
12	830	82
13	834	82
0	834	82

start0.0ms (0%)

analyze46.0ms (0.9%)

sample1.1s (22.5%)

explain81.0ms (1.6%)

preprocess102.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.4%)

localize21.0ms (0.4%)

series19.0ms (0.4%)

simplify119.0ms (2.4%)

rewrite212.0ms (4.2%)

eval51.0ms (1%)

prune9.0ms (0.2%)

simplify23.0ms (0.5%)

localize277.0ms (5.5%)

series15.0ms (0.3%)

simplify217.0ms (4.3%)

rewrite233.0ms (4.6%)

eval384.0ms (7.7%)

prune42.0ms (0.8%)

simplify46.0ms (0.9%)

localize66.0ms (1.3%)

series11.0ms (0.2%)

simplify106.0ms (2.1%)

rewrite178.0ms (3.5%)

eval51.0ms (1%)

prune12.0ms (0.2%)

regimes132.0ms (2.6%)

regimes38.0ms (0.8%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch25.0ms (0.5%)

bsearch15.0ms (0.3%)

bsearch19.0ms (0.4%)

bsearch24.0ms (0.5%)

bsearch15.0ms (0.3%)

simplify88.0ms (1.7%)

soundness1.1s (21.9%)

preprocess65.0ms (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	20	105
0	28	101
1	40	101
2	52	101
3	68	96
4	92	96
5	139	96
6	237	96
7	409	96
8	572	96
9	667	96
10	683	96
0	683	96

Iter	Nodes	Cost
0	17	84
0	22	84
1	37	84
2	42	84
3	53	82
4	80	82
5	131	82
6	241	82
7	412	82
8	593	82
9	740	82
10	776	82
11	816	82
12	830	82
13	834	82
0	834	82