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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample663.0ms (12.1%)

Memory

54.0MiB live, 1 062.4MiB allocated

Samples

424.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 130.0ms (57.1% of total)

ival-sub: 49.0ms (21.5% of total)

ival-add: 35.0ms (15.4% of total)

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

exact: 5.0ms (2.2% of total)

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

Bogosity

explain125.0ms (2.3%)

Memory

-18.4MiB live, 137.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.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	6	0
↳	`(*.f64 x y)`	overflow	28
↳	`(*.f64 (-.f64 x #s(literal 1 binary64)) z)`	overflow	26

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-mult: 7.0ms (55.4% of total)

ival-sub: 3.0ms (23.8% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess89.0ms (1.6%)

Memory

-24.6MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify61.0ms (1.1%)

Memory

-0.3MiB live, 36.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

-4.8MiB live, 30.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy	1.3046833716604118	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Samples

33.0ms

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 (48.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify216.0ms (4%)

Memory

10.4MiB live, 213.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite370.0ms (6.8%)

Memory

26.1MiB live, 442.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 280

Calls

Call 1

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

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

eval76.0ms (1.4%)

Memory: -16.7MiB live, 66.9MiB allocated
Compiler: Compiled 9 642 to 997 computations (89.7% saved)

prune55.0ms (1%)

Memory

4.2MiB live, 125.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	367	7	374
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	368	7	375

Accuracy

100.0%

Counts

375 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
	59.9%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (*.f64 z x)))
	77.3%	(+.f64 (.f64 x y) #s(approx ( (- x 1) z) (neg.f64 z)))
▶	62.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
▶	62.3%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
▶	40.8%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
▶	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))

Compiler

Compiled 126 to 74 computations (41.3% saved)

simplify28.0ms (0.5%)

Memory

8.2MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

608×	`lower-fma.f32`
604×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	31	99
1	50	99
2	60	94
3	87	94
4	145	94
5	275	94
6	477	94
7	649	94
8	681	94
9	683	94
0	683	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.2%)

Memory

6.9MiB live, 123.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z x (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	24.322329207328927	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
accuracy	0	(+.f64 z y)
accuracy	0.01171875	(*.f64 x (+.f64 z y))
accuracy	24.132833512911507	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
accuracy	0	(*.f64 x y)
accuracy	37.90365273384312	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
accuracy	0	(neg.f64 z)
accuracy	38.974190581870275	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal -1 binary64)) z)
accuracy	1.5038897356333614	(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))

Samples

44.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

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

ival-mult: 13.0ms (60.8% of total)

ival-add: 5.0ms (23.4% of total)

ival-sub: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

1.2MiB live, 37.2MiB allocated

Counts

12 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(+ z y)
1.0ms	x	@	0	(+ (* z x) (neg z))
0.0ms	x	@	0	(* x (+ z y))
0.0ms	x	@	inf	(* x (+ z y))
0.0ms	y	@	inf	(* x (+ z y))

simplify420.0ms (7.7%)

Memory

-18.2MiB live, 238.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 674×	`lower-fma.f64`
7 674×	`lower-fma.f32`
2 870×	`lower-*.f64`
2 870×	`lower-*.f32`
1 470×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1975
1	287	1705
2	836	1705
3	2265	1705
4	4870	1705
5	6879	1705
0	8076	1705

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 328

Calls

Call 1

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

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

rewrite335.0ms (6.1%)

Memory

-11.4MiB live, 379.6MiB allocated

Rules

8 028×	`lower-fma.f32`
8 024×	`lower-fma.f64`
3 946×	`lower-*.f32`
3 940×	`lower-*.f64`
2 452×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
0	31	85
1	128	85
2	737	75
0	8518	70

Stop Event

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

Counts

12 → 662

Calls

Call 1

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

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

eval202.0ms (3.7%)

Memory: -3.1MiB live, 216.8MiB allocated
Compiler: Compiled 17 331 to 1 364 computations (92.1% saved)

prune134.0ms (2.5%)

Memory

24.0MiB live, 299.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 022	4	1 026
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	1 025	8	1 033

Accuracy

100.0%

Counts

1 033 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(fma.f64 y x #s(approx (* (+ x -1) z) (*.f64 z x)))
▶	77.3%	(fma.f64 y x #s(approx (* (+ x -1) z) (neg.f64 z)))
✓	62.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
✓	62.3%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
✓	40.8%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
✓	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
▶	24.9%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
▶	2.8%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 63 to 35 computations (44.4% saved)

simplify41.0ms (0.8%)

Memory

-5.2MiB live, 69.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

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	23	98
0	27	96
1	44	96
2	53	96
3	82	92
4	146	92
5	289	92
6	489	92
7	684	92
8	766	92
9	788	92
10	828	92
11	842	92
12	846	92
0	846	92

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

-10.1MiB live, 113.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	1.5038897356333614	(fma.f64 y x #s(approx (* (+ x -1) z) (*.f64 z x)))
accuracy	33.1350855479476	#s(approx (* (+ x -1) z) (*.f64 z x))
accuracy	0	(neg.f64 z)
accuracy	1.5038897356333614	(fma.f64 y x #s(approx (* (+ x -1) z) (neg.f64 z)))
accuracy	29.23308113985193	#s(approx (* (+ x -1) z) (neg.f64 z))
accuracy	0	(*.f64 z x)
accuracy	24.322329207328927	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
accuracy	33.1350855479476	#s(approx (+ (* z x) (neg z)) (*.f64 z x))
accuracy	62.1938559741352	#s(approx (+ (* x y) (* (- x 1) z)) z)

Samples

35.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.4% of total)

ival-add: 9.0ms (40.4% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-17.9MiB live, 19.7MiB allocated

Counts

9 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

simplify232.0ms (4.2%)

Memory

18.1MiB live, 221.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 444×	`lower-fma.f64`
6 444×	`lower-fma.f32`
2 098×	`lower-*.f64`
2 098×	`lower-*.f32`
1 140×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	1443
1	182	1335
2	527	1335
3	1499	1335
4	3907	1335
5	5888	1335
6	7871	1335
0	8072	1335

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite417.0ms (7.6%)

Memory

-11.8MiB live, 543.2MiB allocated

Rules

11 908×	`lower-fma.f32`
11 904×	`lower-fma.f64`
5 504×	`lower-*.f32`
5 502×	`lower-*.f64`
3 692×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	86
0	27	84
1	117	84
2	797	84
0	8449	82

Stop Event

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

Counts

9 → 182

Calls

Call 1

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

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

eval54.0ms (1%)

Memory: 24.1MiB live, 138.4MiB allocated
Compiler: Compiled 9 348 to 479 computations (94.9% saved)

prune49.0ms (0.9%)

Memory

1.3MiB live, 117.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	471	8	479

Accuracy

100.0%

Counts

479 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(fma.f64 y x #s(approx (* (+ x -1) z) (*.f64 z x)))
✓	77.3%	(fma.f64 y x #s(approx (* (+ x -1) z) (neg.f64 z)))
✓	62.0%	#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z)))
✓	62.3%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))
✓	40.8%	#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x y))
✓	39.1%	#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
✓	24.9%	#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))
✓	2.8%	#s(approx (+ (* x y) (* (- x 1) z)) z)

Compiler

Compiled 137 to 56 computations (59.1% saved)

regimes19.0ms (0.4%)

Memory

10.0MiB live, 47.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`
100.0%	2	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.3%)

Memory

12.9MiB live, 50.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
90.7%	3	`y`
88.3%	3	`z`
87.7%	4	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory

-13.1MiB live, 25.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.6%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
82.0%	3	`z`
81.4%	3	`y`
85.3%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.3%)

Memory

-17.0MiB live, 23.9MiB allocated

Counts

4 → 6

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

Accuracy	Segments	Branch
55.1%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
59.5%	3	`y`
60.2%	4	`z`
69.1%	6	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.7%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.2%)

Memory

-15.6MiB live, 21.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.1%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
39.1%	1	`z`
39.1%	1	`y`
39.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.8%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))`
2.8%	1	`x`
2.8%	1	`z`
2.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch34.0ms (0.6%)

Memory

3.9MiB live, 76.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7367071911012673e-19	31226.00889603649
16.0ms	-6894264214954732000.0	-16455990605919.803

Samples

19.0ms

320×

valid

Compiler

Compiled 415 to 254 computations (38.8% saved)

Precisions

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

ival-mult: 4.0ms (52.8% of total)

ival-sub: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch170.0ms (3.1%)

Memory

-20.5MiB live, 37.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1018460.8389215128	12854911805369.744
156.0ms	-1542956.5010315562	-0.0003599701115447435

Samples

157.0ms

288×

valid

Compiler

Compiled 375 to 230 computations (38.7% saved)

Precisions

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

ival-mult: 4.0ms (58.8% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

10.7MiB live, 49.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7367071911012673e-19	31226.00889603649
7.0ms	-1542956.5010315562	-0.0003599701115447435

Samples

13.0ms

240×

valid

Compiler

Compiled 355 to 234 computations (34.1% saved)

Precisions

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

ival-mult: 3.0ms (50.9% of total)

ival-sub: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.9%)

Memory

-21.1MiB live, 95.9MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	3.1817403423287312e+177	3.381318832594743e+190
12.0ms	2.7003869022438965e+64	9.134972691107362e+67
1.0ms	1.7367071911012673e-19	31226.00889603649
1.0ms	-1542956.5010315562	-0.0003599701115447435
12.0ms	-1.62864003059282e+143	-4.024409170380832e+140

Samples

21.0ms

416×

valid

Compiler

Compiled 768 to 474 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.6% of total)

ival-sub: 2.0ms (20.2% of total)

ival-add: 2.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7367071911012673e-19	31226.00889603649
1.0ms	-6894264214954732000.0	-16455990605919.803

Compiler

Compiled 335 to 214 computations (36.1% saved)

simplify10.0ms (0.2%)

Memory

19.6MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	386
1	83	386
2	88	386
3	93	386

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal +inf.0 binary64)) (fma.f64 y x (.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 x y)))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 y x #s(approx ( (+ x -1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 219734356973155/154742504910672534362390528 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 60000000000000004202228415229069648745445137708643936118325116928 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 16600000000000000507010516361336934742486575042361802989713046547976300305710525681620258381273916219597188128896614826462382268886125169889824610449826862066592799312960735727702232793088 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x))))))))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

Outputs
(if (<=.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(literal +inf.0 binary64)) (fma.f64 y x (.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 x y)))
(if (<=.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal -1 binary64)))) #s(literal +inf.0 binary64)) (fma.f64 y x (.f64 z (+.f64 x #s(literal -1 binary64)))) #s(approx (+ ( x y) (* (- x 1) z)) (*.f64 x y)))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 y x #s(approx ( (+ x -1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 1 binary64)) (fma.f64 y x #s(approx ( (+ x -1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 1200000 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (fma.f64 z x (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 z y))) (if (<=.f64 x #s(literal 219734356973155/154742504910672534362390528 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 z y)))))
(if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (.f64 x (+.f64 y z))) (if (<=.f64 x #s(literal 219734356973155/154742504910672534362390528 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 x (+.f64 y z)))))
(if (<=.f64 x #s(literal -135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 60000000000000004202228415229069648745445137708643936118325116928 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 16600000000000000507010516361336934742486575042361802989713046547976300305710525681620258381273916219597188128896614826462382268886125169889824610449826862066592799312960735727702232793088 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x))))))))
(if (<=.f64 x #s(literal -135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 x z))) (if (<=.f64 x #s(literal -6640827866535439/18446744073709551616 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 60000000000000004202228415229069648745445137708643936118325116928 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 x z))) (if (<=.f64 x #s(literal 16600000000000000507010516361336934742486575042361802989713046547976300305710525681620258381273916219597188128896614826462382268886125169889824610449826862066592799312960735727702232793088 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (.f64 x y)) #s(approx (+ ( x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 x z))))))))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 z x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 z x)))))
(if (<=.f64 x #s(literal -16500000000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (.f64 x z))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ ( x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (+ (* z x) (neg z)) (*.f64 x z)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.2s (22%)

Memory

-21.2MiB live, 592.7MiB allocated

Rules

9 326×	`lower-fma.f64`
9 326×	`lower-fma.f32`
8 028×	`lower-fma.f32`
8 024×	`lower-fma.f64`
7 674×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1975
1	287	1705
2	836	1705
3	2265	1705
4	4870	1705
5	6879	1705
0	8076	1705
0	54	467
1	180	440
2	532	440
3	1344	440
4	4419	440
0	8070	440
0	8	20
0	12	20
1	45	20
2	311	20
3	3854	20
0	10409	19
0	21	89
0	31	85
1	128	85
2	737	75
0	8518	70

Stop Event

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

Compiler

Compiled 335 to 148 computations (55.8% saved)

preprocess131.0ms (2.4%)

Memory: 10.6MiB live, 94.3MiB allocated
Compiler: Compiled 372 to 114 computations (69.4% 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	21	103
0	31	99
1	50	99
2	60	94
3	87	94
4	145	94
5	275	94
6	477	94
7	649	94
8	681	94
9	683	94
0	683	94

Iter	Nodes	Cost
0	23	98
0	27	96
1	44	96
2	53	96
3	82	92
4	146	92
5	289	92
6	489	92
7	684	92
8	766	92
9	788	92
10	828	92
11	842	92
12	846	92
0	846	92

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	21	103
0	31	99
1	50	99
2	60	94
3	87	94
4	145	94
5	275	94
6	477	94
7	649	94
8	681	94
9	683	94
0	683	94

Iter	Nodes	Cost
0	23	98
0	27	96
1	44	96
2	53	96
3	82	92
4	146	92
5	289	92
6	489	92
7	684	92
8	766	92
9	788	92
10	828	92
11	842	92
12	846	92
0	846	92

start0.0ms (0%)

analyze0.0ms (0%)

sample663.0ms (12.1%)

explain125.0ms (2.3%)

preprocess89.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (1.1%)

localize40.0ms (0.7%)

series7.0ms (0.1%)

simplify216.0ms (4%)

rewrite370.0ms (6.8%)

eval76.0ms (1.4%)

prune55.0ms (1%)

simplify28.0ms (0.5%)

localize63.0ms (1.2%)

series18.0ms (0.3%)

simplify420.0ms (7.7%)

rewrite335.0ms (6.1%)

eval202.0ms (3.7%)

prune134.0ms (2.5%)

simplify41.0ms (0.8%)

localize50.0ms (0.9%)

series10.0ms (0.2%)

simplify232.0ms (4.2%)

rewrite417.0ms (7.6%)

eval54.0ms (1%)

prune49.0ms (0.9%)

regimes19.0ms (0.4%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0.1%)

regimes14.0ms (0.3%)

regimes2.0ms (0%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch34.0ms (0.6%)

bsearch170.0ms (3.1%)

bsearch23.0ms (0.4%)

bsearch48.0ms (0.9%)

bsearch1.0ms (0%)

simplify10.0ms (0.2%)

soundness1.2s (22%)

preprocess131.0ms (2.4%)

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	21	103
0	31	99
1	50	99
2	60	94
3	87	94
4	145	94
5	275	94
6	477	94
7	649	94
8	681	94
9	683	94
0	683	94

Iter	Nodes	Cost
0	23	98
0	27	96
1	44	96
2	53	96
3	82	92
4	146	92
5	289	92
6	489	92
7	684	92
8	766	92
9	788	92
10	828	92
11	842	92
12	846	92
0	846	92