Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 11 computations (0% saved)

sample1.0s (35.2%)

Memory

-77.7MiB live, 938.2MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-div: 207.0ms (58.3% of total)

ival-mult: 66.0ms (18.6% of total)

ival-sub: 65.0ms (18.3% of total)

exact: 9.0ms (2.5% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain87.0ms (3%)

Memory

-25.7MiB live, 140.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 66 to 31 computations (53% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 9.0ms (44.2% of total)

ival-div: 6.0ms (29.5% of total)

ival-mult: 4.0ms (19.6% of total)

exact: 1.0ms (4.9% of total)

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

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

preprocess54.0ms (1.9%)

Memory

28.5MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
128×	`lower-*.f32`
127×	`lower-*.f64`
86×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	87
1	76	84
2	153	81
3	332	81
4	616	81
5	1057	81
6	1210	81
7	1234	81
8	1234	81
0	9	9
0	13	9
1	18	9
2	31	9
3	40	9
4	64	9
5	108	9
6	189	9
7	312	9
8	447	9
9	514	9
10	549	9
11	550	9
0	550	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))

Symmetry

(sort x y)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify27.0ms (0.9%)

Memory

-10.2MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff	384	(/.f64 z #s(literal 8 binary64))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
128×	`lower-*.f32`
127×	`lower-*.f64`
44×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
z
#s(literal 8 binary64)

localize25.0ms (0.8%)

Memory

1.4MiB live, 39.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z #s(literal 8 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 4.0ms (51.7% of total)

ival-mult: 2.0ms (25.9% of total)

ival-sub: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-23.8MiB live, 14.5MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor 0 z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 z) (taylor -inf z) (#s(alt (/.f64 z #s(literal 8 binary64)) (patch (/.f64 z #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) (patch (-.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	y	@	0	(/ (* x y) 2)
1.0ms	x	@	inf	(/ (* x y) 2)
1.0ms	x	@	0	(/ (* x y) 2)
1.0ms	y	@	inf	(/ (* x y) 2)

simplify127.0ms (4.4%)

Memory

15.4MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 109×	`lower-fma.f64`
2 109×	`lower-fma.f32`
1 845×	`lower-*.f64`
1 845×	`lower-*.f32`
1 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* 1/8 z)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* 1/8 z)
(*.f64 z #s(literal 1/8 binary64))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 #s(literal -1/8 binary64) z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite271.0ms (9.3%)

Memory

12.8MiB live, 294.9MiB allocated

Rules

2 656×	`lower-fma.f64`
2 656×	`lower-fma.f32`
2 392×	`lower-*.f32`
2 391×	`lower-*.f64`
1 730×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19

Stop Event

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

Counts

4 → 221

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
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(-.f64 (/.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) z) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))))
(-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))) (neg.f64 (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) z) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 y x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal 1/8 binary64) z))))) (neg.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 y x) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 y (.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(.f64 x (.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval49.0ms (1.7%)

Memory: 3.9MiB live, 79.6MiB allocated
Compiler: Compiled 5 252 to 607 computations (88.4% saved)

prune44.0ms (1.5%)

Memory

-9.9MiB live, 115.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	314	3	317
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	315	3	318

Accuracy

100.0%

Counts

318 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
▶	51.6%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
▶	50.7%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

▶

100.0%

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

▶

51.6%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))

▶

50.7%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify23.0ms (0.8%)

Memory

-1.8MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Rules

176×	`lower-fma.f32`
175×	`lower-fma.f64`
128×	`lower-*.f32`
124×	`lower-*.f64`
50×	`distribute-lft-neg-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	18	63
0	24	63
1	38	63
2	53	63
3	62	63
4	87	63
5	133	63
6	223	63
7	368	61
8	525	61
9	566	61
10	599	61
11	600	61
0	600	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
y
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize79.0ms (2.7%)

Memory

10.1MiB live, 92.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
accuracy	0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0	(.f64 (.f64 x #s(literal 1/2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	30.995944549150423	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	31.562837131181478	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

65.0ms

256×

valid

Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 34.0ms (83.5% of total)

ival-div: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-19.6MiB live, 18.7MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/8 binary64) z) (patch (.f64 #s(literal -1/8 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (patch #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/2 binary64)) y) (patch (.f64 (.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) (* 1/8 z)) (taylor 0 y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) (patch #s(approx (- (/ ( x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1/8 (/ z y)) (* 1/2 x))) (taylor inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/8 (/ z x)) (* 1/2 y))) (taylor inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 z) (* 1/2 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ (* x y) z)) 1/8)) (taylor inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 z) (taylor -inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) (patch (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/2 binary64)) (patch (.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	y	@	0	(+ (* (* y 1/2) x) (* -1/8 z))
0.0ms	z	@	0	(* -1/8 z)
0.0ms	x	@	0	(* x 1/2)

simplify118.0ms (4%)

Memory

34.5MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 109×	`lower-fma.f64`
2 109×	`lower-fma.f32`
1 845×	`lower-*.f64`
1 845×	`lower-*.f32`
1 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1068
1	123	1068
2	350	1068
3	860	1068
4	1966	1068
5	4045	1068
6	6408	1068
0	8139	987

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* -1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 (* x y))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* -1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1/8 z)
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

Outputs
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 (* x y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1/8 z)
(*.f64 z #s(literal -1/8 binary64))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal -1/8 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

rewrite282.0ms (9.7%)

Memory

-25.6MiB live, 251.4MiB allocated

Rules

2 162×	`lower-/.f64`
2 162×	`lower-/.f32`
2 050×	`lower-*.f32`
2 046×	`lower-*.f64`
1 890×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	50
0	24	50
1	87	48
2	732	48
0	8923	48

Stop Event

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

Counts

7 → 201

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))))
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(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)))) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (neg.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64) (neg.f64 (.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 z #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal 8 binary64) z))) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z)) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal -16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) #s(literal -16 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) x) y))))))
(-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (neg.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (neg.f64 (/.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 z z) z)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))

eval45.0ms (1.5%)

Memory: 20.6MiB live, 93.1MiB allocated
Compiler: Compiled 5 354 to 518 computations (90.3% saved)

prune90.0ms (3.1%)

Memory

11.4MiB live, 93.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	400	0	400
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	400	3	403

Accuracy

100.0%

Counts

403 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

✓

51.6%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))

✓

50.7%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 57 to 35 computations (38.6% saved)

regimes18.0ms (0.6%)

Memory

0.0MiB live, 37.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

5.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	(*.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes26.0ms (0.9%)

Memory

-14.4MiB live, 23.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))

Calls

7 calls:

16.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
75.2%	3	`x`
76.9%	3	`y`
76.9%	3	`z`
66.4%	5	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
82.8%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
82.8%	3	`(*.f64 x y)`
76.9%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes12.0ms (0.4%)

Memory

-14.4MiB live, 22.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(/.f64 z #s(literal 8 binary64))

Results

Accuracy	Segments	Branch
50.7%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
50.7%	1	`x`
50.7%	1	`y`
50.7%	1	`z`
50.7%	1	`(/.f64 z #s(literal 8 binary64))`
50.7%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
50.7%	1	`(*.f64 x y)`

Compiler

Compiled 44 to 33 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.999688856721261e+59	7.312464208427726e+60
0.0ms	-3.3604889800133417e+37	-7.681601254191388e+30

Compiler

Compiled 15 to 15 computations (0% saved)

simplify6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	30	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))

(if (<=.f64 (*.f64 x y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (*.f64 x y) #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (.f64 x y) #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 (.f64 x y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 (.f64 x y) #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 x #s(literal 1/2 binary64)) y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))

soundness432.0ms (14.8%)

Memory

3.7MiB live, 213.3MiB allocated

Rules

2 656×	`lower-fma.f64`
2 656×	`lower-fma.f32`
2 392×	`lower-*.f32`
2 391×	`lower-*.f64`
2 109×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	861	508
4	1961	508
5	4019	508
6	6382	508
0	8114	481
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19

Stop Event

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

Compiler

Compiled 83 to 47 computations (43.4% saved)

preprocess57.0ms (2%)

Memory: -14.7MiB live, 59.6MiB allocated
Remove: (sort x y)
Compiler: Compiled 176 to 100 computations (43.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	18	63
0	24	63
1	38	63
2	53	63
3	62	63
4	87	63
5	133	63
6	223	63
7	368	61
8	525	61
9	566	61
10	599	61
11	600	61
0	600	61

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	18	63
0	24	63
1	38	63
2	53	63
3	62	63
4	87	63
5	133	63
6	223	63
7	368	61
8	525	61
9	566	61
10	599	61
11	600	61
0	600	61

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (35.2%)

explain87.0ms (3%)

preprocess54.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.9%)

localize25.0ms (0.8%)

series10.0ms (0.3%)

simplify127.0ms (4.4%)

rewrite271.0ms (9.3%)

eval49.0ms (1.7%)

prune44.0ms (1.5%)

simplify23.0ms (0.8%)

localize79.0ms (2.7%)

series10.0ms (0.3%)

simplify118.0ms (4%)

rewrite282.0ms (9.7%)

eval45.0ms (1.5%)

prune90.0ms (3.1%)

regimes18.0ms (0.6%)

regimes26.0ms (0.9%)

regimes12.0ms (0.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness432.0ms (14.8%)

preprocess57.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	31	25
3	40	25
4	64	25
5	108	25
6	189	25
7	312	25
8	447	25
9	514	25
10	549	25
11	550	25
0	550	24

Iter	Nodes	Cost
0	18	63
0	24	63
1	38	63
2	53	63
3	62	63
4	87	63
5	133	63
6	223	63
7	368	61
8	525	61
9	566	61
10	599	61
11	600	61
0	600	61