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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.0s (43.1%)

Memory

16.1MiB live, 1 187.8MiB allocated

Samples

685.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 149.0ms (41.5% of total)

ival-div: 146.0ms (40.6% of total)

ival-sub: 44.0ms (12.2% of total)

exact: 9.0ms (2.5% of total)

ival-true: 7.0ms (1.9% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain81.0ms (3.4%)

Memory

-5.7MiB live, 198.7MiB 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

34.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (56.6% of total)

ival-mult: 4.0ms (25.2% of total)

ival-sub: 2.0ms (12.6% of total)

exact: 1.0ms (6.3% of total)

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

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

preprocess53.0ms (2.2%)

Memory

-22.9MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Rules

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f32`
254×	`lower-*.f64`
172×	`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 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 9 to 9 computations (0% saved)

simplify18.0ms (0.8%)

Memory

30.6MiB live, 30.6MiB 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

352×	`lower-fma.f64`
352×	`lower-fma.f32`
256×	`lower-*.f32`
254×	`lower-*.f64`
88×	`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)

localize22.0ms (0.9%)

Memory

1.9MiB live, 41.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

16.0ms

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 (50.5% of total)

ival-mult: 2.0ms (25.3% of total)

ival-sub: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.6%)

Memory

-22.7MiB live, 22.6MiB 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 (* 1/8 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 (* 1/2 (* 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 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 (/.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 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 (/.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 (* 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 (* -1/8 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 (* 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 (* 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 (.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 (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* 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 (.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 (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* 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 (* -1/8 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 (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* 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 (.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 (* 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 (* 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 (.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 (* 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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
3.0ms	z	@	-inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	x	@	0	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	y	@	-inf	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms	z	@	0	((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))

simplify97.0ms (4.1%)

Memory

6.9MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 218×	`lower-fma.f64`
4 218×	`lower-fma.f32`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	508
1	123	508
2	350	508
3	859	508
4	1956	508
5	4016	508
6	6381	508
0	8111	481

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite132.0ms (5.6%)

Memory

22.3MiB live, 177.0MiB allocated

Rules

5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
4 784×	`lower-*.f32`
4 782×	`lower-*.f64`
3 460×	`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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval50.0ms (2.1%)

Memory: -25.1MiB live, 98.9MiB allocated
Compiler: Compiled 4 979 to 612 computations (87.7% saved)

prune5.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB 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 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
▶	55.3%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
▶	47.1%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

▶

100.0%

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

▶

55.3%

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

▶

47.1%

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

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify22.0ms (0.9%)

Memory

-19.9MiB live, 19.2MiB 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 x)
cost-diff	0	(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
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

352×	`lower-fma.f32`
350×	`lower-fma.f64`
256×	`lower-*.f32`
250×	`lower-*.f64`
100×	`distribute-lft-neg-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	21	63
1	31	63
2	51	63
3	62	63
4	87	63
5	133	63
6	223	63
7	370	61
8	535	61
9	576	61
10	609	61
11	610	61
0	610	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 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.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 y x) #s(literal 1/2 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.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 x)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize38.0ms (1.6%)

Memory

-11.9MiB live, 69.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	28.62666841361268	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	33.871978586201855	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

27.0ms

256×

valid

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.9% of total)

ival-div: 6.0ms (35.9% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* (* y x) 1/2) (* y x) (+ (* (* y x) 1/2) (* -1/8 z)))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* (* y x) 1/2) (* y x) (+ (* (* y x) 1/2) (* -1/8 z)))
1.0ms	z	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* (* y x) 1/2) (* y x) (+ (* (* y x) 1/2) (* -1/8 z)))
0.0ms	y	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* (* y x) 1/2) (* y x) (+ (* (* y x) 1/2) (* -1/8 z)))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (* (* y x) 1/2) (* y x) (+ (* (* y x) 1/2) (* -1/8 z)))

simplify109.0ms (4.6%)

Memory

2.2MiB live, 161.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 218×	`lower-fma.f64`
4 218×	`lower-fma.f32`
3 690×	`lower-*.f64`
3 690×	`lower-*.f32`
2 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1068
1	123	1068
2	350	1068
3	861	1068
4	1982	1068
5	4087	1068
6	6451	1068
0	8181	987

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite122.0ms (5.2%)

Memory

7.9MiB live, 245.2MiB allocated

Rules

7 298×	`lower-fma.f32`
7 296×	`lower-fma.f64`
5 702×	`lower-*.f32`
5 696×	`lower-*.f64`
2 552×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	47
0	21	47
1	88	45
2	686	45
0	8922	45

Stop Event

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

Counts

6 → 299

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval60.0ms (2.6%)

Memory: -8.9MiB live, 150.7MiB allocated
Compiler: Compiled 6 673 to 734 computations (89% saved)

prune21.0ms (0.9%)

Memory

8.8MiB live, 51.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	538	0	538
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	538	3	541

Accuracy

100.0%

Counts

541 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

55.3%

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

✓

47.1%

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

Compiler

Compiled 45 to 38 computations (15.6% saved)

regimes16.0ms (0.7%)

Memory

-5.6MiB live, 33.5MiB 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 y x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.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 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

3.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	(/.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)

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 23 to 33 computations (-43.5% saved)

regimes13.0ms (0.5%)

Memory

-11.8MiB live, 27.3MiB 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 y x) #s(literal 1/2 binary64)))

Outputs

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

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

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

Calls

7 calls:

3.0ms	z
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	x
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
73.0%	3	`x`
73.1%	3	`y`
75.0%	3	`z`
73.0%	5	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
80.4%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
80.4%	3	`(*.f64 x y)`
75.0%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes9.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB 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 z #s(literal 8 binary64))
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(*.f64 x y)
1.0ms	y
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
47.1%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
47.1%	1	`x`
47.1%	1	`y`
47.1%	1	`z`
47.1%	1	`(/.f64 z #s(literal 8 binary64))`
47.1%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
47.1%	1	`(*.f64 x y)`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.718192747888955e-35	5.0337660569800095e-30
0.0ms	-1.373476939409918e-5	-2.2096140054489794e-6

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify50.0ms (2.1%)

Memory

-22.1MiB live, 73.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	28	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x y) #s(literal -5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 x y) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))

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

Outputs
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 x y) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 x y) #s(literal -5902958103587057/590295810358705651712 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y))) (if (<=.f64 (.f64 x y) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x 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)))

soundness373.0ms (15.8%)

Memory

-9.6MiB live, 225.0MiB allocated

Rules

5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
4 784×	`lower-*.f32`
4 782×	`lower-*.f64`
4 218×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	56	20
2	486	20
0	8677	19
0	42	508
1	123	508
2	350	508
3	859	508
4	1956	508
5	4016	508
6	6381	508
0	8111	481

Stop Event

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

Compiler

Compiled 68 to 47 computations (30.9% saved)

preprocess30.0ms (1.3%)

Memory: 12.5MiB live, 50.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 146 to 100 computations (31.5% 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	17	63
0	21	63
1	31	63
2	51	63
3	62	63
4	87	63
5	133	63
6	223	63
7	370	61
8	535	61
9	576	61
10	609	61
11	610	61
0	610	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	17	63
0	21	63
1	31	63
2	51	63
3	62	63
4	87	63
5	133	63
6	223	63
7	370	61
8	535	61
9	576	61
10	609	61
11	610	61
0	610	61

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (43.1%)

explain81.0ms (3.4%)

preprocess53.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.8%)

localize22.0ms (0.9%)

series15.0ms (0.6%)

simplify97.0ms (4.1%)

rewrite132.0ms (5.6%)

eval50.0ms (2.1%)

prune5.0ms (0.2%)

simplify22.0ms (0.9%)

localize38.0ms (1.6%)

series9.0ms (0.4%)

simplify109.0ms (4.6%)

rewrite122.0ms (5.2%)

eval60.0ms (2.6%)

prune21.0ms (0.9%)

regimes16.0ms (0.7%)

regimes13.0ms (0.5%)

regimes9.0ms (0.4%)

bsearch1.0ms (0%)

simplify50.0ms (2.1%)

soundness373.0ms (15.8%)

preprocess30.0ms (1.3%)

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	17	63
0	21	63
1	31	63
2	51	63
3	62	63
4	87	63
5	133	63
6	223	63
7	370	61
8	535	61
9	576	61
10	609	61
11	610	61
0	610	61