Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (13.4%)

Memory

27.2MiB live, 863.8MiB allocated

Samples

723.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-mult: 231.0ms (63.7% of total)

ival-sub: 80.0ms (22.1% of total)

ival-add: 38.0ms (10.5% of total)

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

exact: 5.0ms (1.4% of total)

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

Bogosity

explain114.0ms (1.5%)

Memory

-17.9MiB live, 180.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`(-.f64 y x)`
-	-	`(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)`
-	-	`(*.f64 (-.f64 y x) #s(literal 6 binary64))`
-	-	`y`
-	-	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
-	-	`z`
-	-	`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

27.0ms	450×	0	valid
4.0ms	18×	3	valid
3.0ms	28×	1	valid
2.0ms	16×	2	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.9% of total)

ival-sub: 6.0ms (31.7% of total)

ival-add: 3.0ms (15.8% of total)

adjust: 2.0ms (10.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess158.0ms (2%)

Memory

9.0MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 296×	`lower-fma.f64`
1 296×	`lower-fma.f32`
752×	`distribute-lft-in`
718×	`distribute-rgt-in`
594×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	90
1	91	81
2	278	81
3	850	81
4	2945	81
5	3789	81
6	4191	81
7	4239	81
8	4246	81
9	4246	81
10	4342	81
11	4382	81
12	4382	81
0	8	9
0	12	9
1	19	9
2	37	9
3	85	9
4	203	9
5	322	9
6	453	9
7	699	9
8	1009	9
9	1286	9
10	1363	9
11	1371	9
12	1371	9
0	1371	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify53.0ms (0.7%)

Memory

-20.5MiB live, 60.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) #s(literal 6 binary64))
cost-diff	0	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
cost-diff	128	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Rules

1 296×	`lower-fma.f64`
1 296×	`lower-fma.f32`
560×	`lower-*.f32`
556×	`lower-*.f64`
244×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	19	28
2	37	28
3	85	28
4	203	28
5	322	28
6	453	28
7	699	28
8	1009	28
9	1286	28
10	1363	28
11	1371	28
12	1371	28
0	1371	27

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
x
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
#s(literal 6 binary64)
z

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
x
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(.f64 z (.f64 #s(literal 6 binary64) (-.f64 y x)))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(-.f64 y x)
y
#s(literal 6 binary64)
z

localize23.0ms (0.3%)

Memory

16.8MiB live, 53.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.010097509768442016	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
accuracy	0.15625	(*.f64 (-.f64 y x) #s(literal 6 binary64))
accuracy	0.19921875	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)

Samples

13.0ms	225×	0	valid
2.0ms	9×	3	valid
2.0ms	14×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (49.2% of total)

ival-sub: 2.0ms (24.6% of total)

adjust: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z))))) (taylor -inf z) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor -inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor -inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor -inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor -inf z) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x z))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x z)) (* 6 (* y z)))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x z)) (* 6 (* y z)))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -6 (* x z)) (* 6 (* y z)))) (taylor 0 y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor 0 y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z))) (taylor inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 6 (* -6 (/ x y)))) (taylor inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 6 (* -6 (/ x y)))) (taylor inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 6 (* -6 (/ x y)))) (taylor inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y))))) (taylor -inf y) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor -inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 (/ x y)) 6))) (taylor -inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 (/ x y)) 6))) (taylor -inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 6 (/ x y)) 6))) (taylor -inf y) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z)))) (taylor 0 x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 (* x z)) (* 6 (* y z))) (taylor 0 x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor 0 x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -6 x) (* 6 y)) (taylor 0 x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -6 z))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x))))) (taylor inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -6 z) (* 6 (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -6 z) (* 6 (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -6 z) (* 6 (/ (* y z) x)))) (taylor inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ y x)) 6)) (taylor inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch (+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x))
1.0ms	y	@	0	((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x))
1.0ms	z	@	inf	((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x))
1.0ms	z	@	0	((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x))
1.0ms	y	@	inf	((+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (- y x))

simplify204.0ms (2.6%)

Memory

-44.6MiB live, 219.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 500×	`lower-fma.f64`
10 500×	`lower-fma.f32`
2 932×	`lower-*.f64`
2 932×	`lower-*.f32`
1 400×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	741
1	311	741
2	914	705
3	2615	705
4	5179	705
5	7484	705
0	8013	675

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

Inputs
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

Outputs
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ x (* -6 (* x z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite156.0ms (2%)

Memory

12.3MiB live, 236.0MiB allocated

Rules

4 752×	`lower-*.f32`
4 748×	`lower-*.f64`
4 494×	`lower-fma.f64`
4 494×	`lower-fma.f32`
2 470×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	42	24
2	318	24
3	4203	24
0	8252	23

Stop Event

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

Counts

4 → 245

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)

Outputs
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eval45.0ms (0.6%)

Memory: -3.0MiB live, 115.2MiB allocated
Compiler: Compiled 7 150 to 951 computations (86.7% saved)

prune13.0ms (0.2%)

Memory

3.0MiB live, 40.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	353	8	361
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	354	8	362

Accuracy

100.0%

Counts

362 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
▶	99.8%	(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
▶	69.5%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))
▶	71.9%	(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
	59.6%	(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
	59.6%	#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
▶	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
▶	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))

Compiler

Compiled 144 to 132 computations (8.3% saved)

simplify105.0ms (1.4%)

Memory

34.7MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z)
cost-diff	128	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))))
cost-diff	1152	(/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))
cost-diff	0	(*.f64 y #s(literal 6 binary64))
cost-diff	0	#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
cost-diff	0	(.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)
cost-diff	128	(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) z)
cost-diff	0	(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) #s(literal 6 binary64))
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 #s(literal 6 binary64) (-.f64 y x))
cost-diff	0	(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)

Rules

4 184×	`lower-fma.f32`
4 180×	`lower-fma.f64`
4 034×	`lower-*.f32`
4 014×	`lower-*.f64`
1 658×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	52	182
1	89	182
2	143	182
3	442	182
4	1235	176
5	2558	174
6	5416	174
0	8273	173

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(*.f64 #s(literal 6 binary64) (-.f64 y x))
#s(literal 6 binary64)
(-.f64 y x)
y
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
(.f64 (.f64 y z) #s(literal 6 binary64))
(*.f64 y z)
y
z
#s(literal 6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
#s(literal 6 binary64)
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
x
(.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
(*.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
z
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))
x
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))
(+.f64 y x)
y
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(neg.f64 x)
(*.f64 y y)
#s(literal 6 binary64)
z

Outputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(fma.f64 (*.f64 (-.f64 x y) z) #s(literal -6 binary64) x)
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
#s(literal 6 binary64)
(-.f64 y x)
y
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z y) #s(literal 6 binary64)))
(.f64 (.f64 y z) #s(literal 6 binary64))
(.f64 (.f64 z y) #s(literal 6 binary64))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(-.f64 y x)
y
x
z
#s(literal 6 binary64)
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
x
(.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
(*.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
z
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))
(fma.f64 (*.f64 (-.f64 x y) z) #s(literal -6 binary64) x)
x
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z)
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))))
(*.f64 (-.f64 y x) #s(literal 6 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (-.f64 y x))
(+.f64 y x)
(+.f64 x y)
y
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(neg.f64 x)
(*.f64 y y)
#s(literal 6 binary64)
z

localize166.0ms (2.1%)

Memory

-30.2MiB live, 222.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.19921875	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z)
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))))
accuracy	2.503878726055602	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	28.12717536704625	(/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))
accuracy	0	(*.f64 y #s(literal 6 binary64))
accuracy	0.010097509768442016	(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
accuracy	0.19921875	(.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)
accuracy	32.86451500290353	#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
accuracy	0	(-.f64 y x)
accuracy	0.01171875	(*.f64 (-.f64 y x) z)
accuracy	0.21875	(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
accuracy	20.59061713336887	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
accuracy	0	(*.f64 y z)
accuracy	0.26953125	(.f64 (.f64 y z) #s(literal 6 binary64))
accuracy	37.79355550899461	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
accuracy	0	(-.f64 y x)
accuracy	0.12034123016428752	(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
accuracy	0.15625	(*.f64 #s(literal 6 binary64) (-.f64 y x))

Samples

71.0ms	190×	0	valid
16.0ms	26×	2	valid
12.0ms	19×	3	valid
7.0ms	21×	1	valid

Compiler

Compiled 198 to 29 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 22.0ms (38.1% of total)

ival-add: 18.0ms (31.2% of total)

adjust: 9.0ms (15.6% of total)

ival-div: 5.0ms (8.7% of total)

ival-sub: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory

16.4MiB live, 128.8MiB allocated

Counts

18 → 528

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 6 binary64) (-.f64 y x)) (patch (.f64 #s(literal 6 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) (patch (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y x) z) (patch (.f64 (-.f64 y x) z) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z)) (patch (+.f64 x (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z) #<representation binary64>) () ())
#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 6 binary64)) (patch (.f64 y #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))) (patch (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) (patch (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) (patch (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) (patch (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) (patch (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (.f64 (-.f64 y x) z) (patch (.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (.f64 (-.f64 y x) z) (patch (.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (.f64 (-.f64 y x) z) (patch (.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (.f64 (-.f64 y x) z) (patch (.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 x (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z)) (patch (+.f64 x (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z)) (patch (+.f64 x (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z)) (patch (+.f64 x (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z)) (patch (+.f64 x (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))) (taylor 0 z) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) (patch (fma.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y z) #s(literal 6 binary64)) (patch (.f64 (.f64 y z) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) (patch (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (.f64 y y)) (patch (fma.f64 (neg.f64 x) x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (- y x) (+ x (* (* (- y x) 6) z)) (* (* y z) 6) (* y z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (- y x) z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* y 6) (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6)) (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) (+ x (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z)) (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z) (+ (* (neg x) x) (* y y)))
5.0ms	y	@	-inf	((+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (- y x) (+ x (* (* (- y x) 6) z)) (* (* y z) 6) (* y z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (- y x) z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* y 6) (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6)) (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) (+ x (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z)) (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z) (+ (* (neg x) x) (* y y)))
4.0ms	z	@	0	((+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (- y x) (+ x (* (* (- y x) 6) z)) (* (* y z) 6) (* y z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (- y x) z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* y 6) (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6)) (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) (+ x (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z)) (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z) (+ (* (neg x) x) (* y y)))
3.0ms	y	@	0	((+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (- y x) (+ x (* (* (- y x) 6) z)) (* (* y z) 6) (* y z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (- y x) z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* y 6) (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6)) (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) (+ x (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z)) (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z) (+ (* (neg x) x) (* y y)))
2.0ms	z	@	-inf	((+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (- y x) (+ x (* (* (- y x) 6) z)) (* (* y z) 6) (* y z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (- y x) z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* y 6) (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6)) (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) (+ x (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z)) (* (/ 1 (/ (+ y x) (* (+ (* (neg x) x) (* y y)) 6))) z) (+ (* (neg x) x) (* y y)))

simplify318.0ms (4.1%)

Memory

7.9MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 040×	`lower-fma.f64`
9 040×	`lower-fma.f32`
4 668×	`lower-*.f64`
4 668×	`lower-*.f32`
1 866×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	3920
1	810	3864
2	2293	3739
3	5453	3675
0	8268	3497

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 520

Calls

Call 1

Inputs
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
x
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))))
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))))
(+ x (* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z)))
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z)))
(* z (+ (* 6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (/ x z)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (/ (+ (* -1 (pow x 2)) (pow y 2)) (+ x y))) (* -1 (/ x z)))))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(* 6 (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -1 x)
(- y x)
(- y x)
(- y x)
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(/ -1/6 x)
(- (* -1/6 (/ y (pow x 2))) (* 1/6 (/ 1 x)))
(- (* y (- (* -1/6 (/ y (pow x 3))) (* 1/6 (/ 1 (pow x 2))))) (* 1/6 (/ 1 x)))
(- (* y (- (* y (- (* -1/6 (/ y (pow x 4))) (* 1/6 (/ 1 (pow x 3))))) (* 1/6 (/ 1 (pow x 2))))) (* 1/6 (/ 1 x)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y z)
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(/ 1/6 y)
(/ (+ 1/6 (* 1/6 (/ x y))) y)
(/ (+ 1/6 (+ (* 1/6 (/ x y)) (* 1/6 (/ (pow x 2) (pow y 2))))) y)
(/ (+ 1/6 (+ (* 1/6 (/ x y)) (+ (* 1/6 (/ (pow x 2) (pow y 2))) (* 1/6 (/ (pow x 3) (pow y 3)))))) y)
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* 6 (* y z))
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Outputs
x
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(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(*.f64 (+.f64 y x) (-.f64 y x))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(*.f64 (+.f64 y x) (-.f64 y x))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(*.f64 (+.f64 y x) (-.f64 y x))

rewrite196.0ms (2.5%)

Memory

-13.2MiB live, 193.3MiB allocated

Rules

8 034×	`lower-fma.f32`
8 030×	`lower-fma.f64`
4 436×	`lower-*.f32`
4 416×	`lower-*.f64`
3 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	52	142
1	177	136
2	1289	136
0	8371	135

Stop Event

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

Counts

18 → 980

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(-.f64 y x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
(.f64 (.f64 y z) #s(literal 6 binary64))
(*.f64 y z)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(*.f64 (-.f64 y x) z)
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
(.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
(*.f64 y #s(literal 6 binary64))
(/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal 6 binary64))))
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z)
(fma.f64 (neg.f64 x) x (*.f64 y y))

Outputs
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#<batchref>
#<batchref>

eval278.0ms (3.6%)

Memory: -0.2MiB live, 460.4MiB allocated
Compiler: Compiled 29 471 to 3 143 computations (89.3% saved)

prune74.0ms (1%)

Memory

-6.2MiB live, 125.9MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 587	8	1 595
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	1 592	11	1 603

Accuracy

100.0%

Counts

1 603 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
	71.9%	(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
▶	59.6%	(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
	59.6%	#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
	67.6%	#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (-.f64 y x) (/.f64 z #s(literal 1/6 binary64))))
✓	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
▶	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
▶	40.9%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
✓	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
▶	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))

Compiler

Compiled 142 to 147 computations (-3.5% saved)

simplify58.0ms (0.7%)

Memory

20.1MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) #s(literal 6 binary64))
cost-diff	0	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
cost-diff	0	(*.f64 #s(literal -6 binary64) x)
cost-diff	0	#s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x))
cost-diff	0	(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
cost-diff	0	(*.f64 z #s(literal 6 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 6 binary64)) y)
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
cost-diff	0	(*.f64 z x)
cost-diff	0	(.f64 (.f64 z x) #s(literal -6 binary64))
cost-diff	0	#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
cost-diff	0	(*.f64 z #s(literal 6 binary64))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)

Rules

1 408×	`lower-fma.f32`
1 404×	`lower-fma.f64`
624×	`lower-*.f32`
610×	`lower-*.f64`
256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	154
0	40	151
1	63	151
2	94	151
3	151	151
4	230	151
5	302	151
6	463	151
7	757	151
8	1184	151
9	1388	151
10	1500	151
11	1621	151
12	1624	151
13	1626	151
14	1626	151
0	1626	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(-.f64 y x)
y
x
(*.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
(.f64 (.f64 z x) #s(literal -6 binary64))
(*.f64 z x)
z
x
#s(literal -6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
(.f64 (.f64 z #s(literal 6 binary64)) y)
(*.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
y
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
#s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
x
#s(literal 6 binary64)
z

Outputs
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(fma.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) z) x)
(-.f64 y x)
y
x
(*.f64 z #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) z)
z
#s(literal 6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) x) z)))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) x) z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(.f64 (.f64 #s(literal -6 binary64) x) z)
(*.f64 z x)
z
x
#s(literal -6 binary64)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 #s(literal 6 binary64) z) y))
(.f64 (.f64 z #s(literal 6 binary64)) y)
(.f64 (.f64 #s(literal 6 binary64) z) y)
(*.f64 z #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) z)
z
#s(literal 6 binary64)
y
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
#s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(-.f64 y x)
y
x
#s(literal 6 binary64)
z

localize121.0ms (1.5%)

Memory

-15.3MiB live, 142.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.15625	(*.f64 (-.f64 y x) #s(literal 6 binary64))
accuracy	0.19921875	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
accuracy	20.59061713336887	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
accuracy	0	(*.f64 #s(literal -6 binary64) x)
accuracy	0.12034123016428752	(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
accuracy	31.762095840441553	#s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x))
accuracy	0	(*.f64 z #s(literal 6 binary64))
accuracy	0.234375	(.f64 (.f64 z #s(literal 6 binary64)) y)
accuracy	37.79355550899461	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
accuracy	0	(*.f64 z x)
accuracy	0.23046875	(.f64 (.f64 z x) #s(literal -6 binary64))
accuracy	20.59061713336887	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
accuracy	30.33139507834696	#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
accuracy	0	(-.f64 y x)
accuracy	0	(*.f64 z #s(literal 6 binary64))
accuracy	0.125	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)

Samples

32.0ms	225×	0	valid
5.0ms	8×	2	valid
5.0ms	9×	3	valid
4.0ms	14×	1	valid

Compiler

Compiled 116 to 23 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 19.0ms (70.1% of total)

ival-add: 4.0ms (14.7% of total)

adjust: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-9.2MiB live, 28.9MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 6 binary64)) (patch (.f64 z #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 6 binary64)) y) (patch (.f64 (.f64 z #s(literal 6 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())
#s(alt #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (patch (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 6 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 6 binary64)) (patch (.f64 z #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 6 binary64)) (patch (.f64 z #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 6 binary64)) (patch (.f64 z #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 6 binary64)) (patch (.f64 z #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 6 binary64)) y) (patch (.f64 (.f64 z #s(literal 6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 6 binary64)) y) (patch (.f64 (.f64 z #s(literal 6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 6 binary64)) y) (patch (.f64 (.f64 z #s(literal 6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 6 binary64)) y) (patch (.f64 (.f64 z #s(literal 6 binary64)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 z x) #s(literal -6 binary64)) (patch (.f64 (.f64 z x) #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (patch (fma.f64 #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) (patch (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt (.f64 (-.f64 y x) #s(literal 6 binary64)) (patch (.f64 (-.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* z x) -6) (* z x) (+ x (* (* (- y x) 6) z)) (* (* z 6) y) (+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6))
1.0ms	z	@	inf	((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* z x) -6) (* z x) (+ x (* (* (- y x) 6) z)) (* (* z 6) y) (+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6))
1.0ms	z	@	0	((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* z x) -6) (* z x) (+ x (* (* (- y x) 6) z)) (* (* z 6) y) (+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6))
1.0ms	x	@	-inf	((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* z x) -6) (* z x) (+ x (* (* (- y x) 6) z)) (* (* z 6) y) (+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6))
1.0ms	x	@	inf	((+ (* (- y x) (* z 6)) x) (- y x) (* z 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* z x) -6) (* z x) (+ x (* (* (- y x) 6) z)) (* (* z 6) y) (+ (* (* 6 (- y x)) z) x) (* 6 (- y x)) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6))

simplify160.0ms (2.1%)

Memory

33.7MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
2 900×	`lower-*.f64`
2 900×	`lower-*.f32`
1 344×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	2685
1	311	2685
2	914	2613
3	2605	2613
4	5163	2613
5	7473	2613
0	8055	2463

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 412

Calls

Call 1

Inputs
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -1 x)
(- y x)
(- y x)
(- y x)
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))

Outputs
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 z)
(*.f64 z #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ x (* -6 (* x z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(+ x (* -6 (* x z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(+ x (* -6 (* x z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(* 6 (* y z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(+ x (* -6 (* x z)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
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(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))

rewrite215.0ms (2.8%)

Memory

19.3MiB live, 244.8MiB allocated

Rules

10 268×	`lower-fma.f32`
10 264×	`lower-fma.f64`
5 878×	`lower-*.f32`
5 864×	`lower-*.f64`
3 052×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
0	40	128
1	111	128
2	639	128
0	8434	128

Stop Event

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

Counts

15 → 385

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(-.f64 y x)
(*.f64 z #s(literal 6 binary64))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
(.f64 (.f64 z x) #s(literal -6 binary64))
(*.f64 z x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
#s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(*.f64 (-.f64 y x) #s(literal 6 binary64))

Outputs
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eval367.0ms (4.7%)

Memory: -39.3MiB live, 305.9MiB allocated
Compiler: Compiled 16 233 to 1 407 computations (91.3% saved)

prune89.0ms (1.1%)

Memory

0.2MiB live, 84.4MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	901	4	905
Fresh	1	3	4
Picked	1	4	5
Done	0	2	2
Total	903	13	916

Accuracy

100.0%

Counts

916 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
	59.6%	(fma.f64 #s(approx (- y x) (neg.f64 x)) (*.f64 z #s(literal 6 binary64)) x)
▶	71.9%	(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
▶	59.6%	#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
	67.6%	#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (-.f64 y x) (/.f64 z #s(literal 1/6 binary64))))
✓	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
✓	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
✓	40.9%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
✓	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
▶	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
▶	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
✓	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
▶	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

Compiler

Compiled 143 to 151 computations (-5.6% saved)

simplify236.0ms (3%)

Memory

-0.7MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z x)
cost-diff	0	(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
cost-diff	0	#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
cost-diff	0	(*.f64 y #s(literal 6 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 6 binary64)) z)
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
cost-diff	0	(*.f64 #s(literal -6 binary64) x)
cost-diff	0	#s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x))
cost-diff	0	(.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
cost-diff	0	(*.f64 #s(literal -6 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal -6 binary64) z) x)
cost-diff	0	#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))
cost-diff	0	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
cost-diff	0	(*.f64 y #s(literal 6 binary64))
cost-diff	0	#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)

Rules

1 456×	`lower-fma.f32`
1 452×	`lower-fma.f64`
672×	`lower-*.f32`
658×	`lower-*.f64`
274×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	176
0	41	176
1	69	176
2	97	176
3	156	176
4	238	176
5	309	176
6	516	176
7	804	176
8	1225	176
9	1416	176
10	1546	176
11	1718	176
12	1725	176
13	1729	176
14	1732	176
15	1734	176
0	1734	172

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
(*.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
z
x
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))
(.f64 (.f64 #s(literal -6 binary64) z) x)
(*.f64 #s(literal -6 binary64) z)
#s(literal -6 binary64)
z
x
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
(.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)
#s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
(.f64 (.f64 y #s(literal 6 binary64)) z)
(*.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
z
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(*.f64 z x)
z
x
#s(literal -6 binary64)

Outputs
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
(fma.f64 z #s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y)) x)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
#s(approx (* (- y x) 6) (*.f64 #s(literal 6 binary64) y))
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) y)
y
#s(literal 6 binary64)
z
x
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64)))
(.f64 (.f64 #s(literal -6 binary64) z) x)
(.f64 (.f64 z x) #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) z)
#s(literal -6 binary64)
z
x
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
(.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)
#s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
z
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 z (.f64 #s(literal 6 binary64) y)))
(.f64 (.f64 y #s(literal 6 binary64)) z)
(.f64 z (.f64 #s(literal 6 binary64) y))
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) y)
y
#s(literal 6 binary64)
z
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)
(*.f64 z x)
z
x
#s(literal -6 binary64)

localize82.0ms (1%)

Memory

-10.9MiB live, 107.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	0.11556625976844201	(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
accuracy	25.805168413049866	#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
accuracy	0	(*.f64 y #s(literal 6 binary64))
accuracy	0.19921875	(.f64 (.f64 y #s(literal 6 binary64)) z)
accuracy	37.79355550899461	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
accuracy	0	(*.f64 #s(literal -6 binary64) x)
accuracy	0.19921875	(.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)
accuracy	20.59061713336887	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
accuracy	31.762095840441553	#s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x))
accuracy	0	(*.f64 #s(literal -6 binary64) z)
accuracy	0.25	(.f64 (.f64 #s(literal -6 binary64) z) x)
accuracy	20.59061713336887	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
accuracy	30.33139507834696	#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))
accuracy	0	(*.f64 y #s(literal 6 binary64))
accuracy	0.12034123016428752	(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
accuracy	32.86451500290353	#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))

Samples

51.0ms	225×	0	valid
5.0ms	9×	3	valid
4.0ms	14×	1	valid
3.0ms	8×	2	valid

Compiler

Compiled 119 to 25 computations (79% saved)

Precisions

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

ival-mult: 32.0ms (78.4% of total)

ival-add: 5.0ms (12.3% of total)

adjust: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

16.4MiB live, 55.5MiB allocated

Counts

16 → 432

Calls

Call 1

Inputs
#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())
#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 6 binary64)) (patch (.f64 y #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -6 binary64) z) (patch (.f64 #s(literal -6 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* (- y x) 6) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y #s(literal 6 binary64)) z) (patch (.f64 (.f64 y #s(literal 6 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor 0 z) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 z) (taylor 0 z) (#s(alt (.f64 #s(literal -6 binary64) z) (patch (.f64 #s(literal -6 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -6 z) (taylor 0 z) (#s(alt (.f64 #s(literal -6 binary64) z) (patch (.f64 #s(literal -6 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -6 z) (taylor 0 z) (#s(alt (.f64 #s(literal -6 binary64) z) (patch (.f64 #s(literal -6 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -6 z) (taylor 0 z) (#s(alt (.f64 #s(literal -6 binary64) z) (patch (.f64 #s(literal -6 binary64) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor 0 z) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 6 binary64)) z) (patch (.f64 (.f64 y #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 6 binary64)) z) (patch (.f64 (.f64 y #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 6 binary64)) z) (patch (.f64 (.f64 y #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 6 (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y #s(literal 6 binary64)) z) (patch (.f64 (.f64 y #s(literal 6 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 6 (* z (- y x)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -6 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 6 (- y x)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 (* z (- y x))) (taylor inf z) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
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#s(alt (* x z) (taylor inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) (patch (fma.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) (patch #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) (patch #s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) (patch #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal -6 binary64) z) x) (patch (.f64 (.f64 #s(literal -6 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (patch #s(approx (+ x ( (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -6 (* x z)) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z)))) (taylor -inf x) (#s(alt (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z) (patch (.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 6 (* -6 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) 6) (.f64 #s(literal -6 binary64) x)) (patch #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -6 binary64) x) (patch (.f64 #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) (patch #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (patch #s(approx (+ ( (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 6 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z x) #s(literal -6 binary64) x) (patch (fma.f64 (.f64 z x) #s(literal -6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 z x) (patch (.f64 z x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((+ (* (* (- y x) 6) z) x) (* (- y x) 6) (* y 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* -6 z) x) (* -6 z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* y 6) z) (+ (* (- y x) (* z 6)) x) (+ (* (* z x) -6) x) (* z x))
1.0ms	z	@	inf	((+ (* (* (- y x) 6) z) x) (* (- y x) 6) (* y 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* -6 z) x) (* -6 z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* y 6) z) (+ (* (- y x) (* z 6)) x) (+ (* (* z x) -6) x) (* z x))
1.0ms	z	@	0	((+ (* (* (- y x) 6) z) x) (* (- y x) 6) (* y 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* -6 z) x) (* -6 z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* y 6) z) (+ (* (- y x) (* z 6)) x) (+ (* (* z x) -6) x) (* z x))
1.0ms	x	@	-inf	((+ (* (* (- y x) 6) z) x) (* (- y x) 6) (* y 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* -6 z) x) (* -6 z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* y 6) z) (+ (* (- y x) (* z 6)) x) (+ (* (* z x) -6) x) (* z x))
1.0ms	x	@	inf	((+ (* (* (- y x) 6) z) x) (* (- y x) 6) (* y 6) (+ x (* (* (- y x) 6) z)) (* (* (- y x) z) 6) (* (* -6 z) x) (* -6 z) (+ x (* (* (- y x) 6) z)) (* (* (- y x) 6) z) (* (- y x) 6) (* -6 x) (+ x (* (* (- y x) 6) z)) (* (* y 6) z) (+ (* (- y x) (* z 6)) x) (+ (* (* z x) -6) x) (* z x))

simplify150.0ms (1.9%)

Memory

1.4MiB live, 169.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 402×	`lower-fma.f64`
11 402×	`lower-fma.f32`
3 380×	`lower-*.f64`
3 380×	`lower-*.f32`
1 338×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	2816
1	287	2816
2	831	2744
3	2126	2744
4	5278	2744
0	8059	2573

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

Inputs
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
x
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* -6 (* x z))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -6 (* x z))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* x z)
(* x z)
(* x z)
(* x z)
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
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(* 6 y)
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
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(* y (+ 6 (* -6 (/ x y))))
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
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Outputs
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* 6 (* z (- y x)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 z)
(*.f64 #s(literal -6 binary64) z)
(* -6 z)
(*.f64 #s(literal -6 binary64) z)
(* -6 z)
(*.f64 #s(literal -6 binary64) z)
(* -6 z)
(*.f64 #s(literal -6 binary64) z)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
x
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
x
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(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x z)
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(*.f64 z x)
(* x z)
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(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* z (+ (* -6 x) (/ x z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* z (+ (* -6 x) (/ x z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* z (+ (* -6 x) (/ x z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x z)
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(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(* -6 z)
(*.f64 #s(literal -6 binary64) z)
(* -6 z)
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(* -6 z)
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(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
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(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
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(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x (+ 1 (* -6 z)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -6 (* x z))
(.f64 (.f64 z x) #s(literal -6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 (-.f64 x y) #s(literal -6 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 (*.f64 #s(literal -6 binary64) z) x x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite233.0ms (3%)

Memory

15.4MiB live, 196.7MiB allocated

Rules

13 512×	`lower-fma.f32`
13 508×	`lower-fma.f64`
6 846×	`lower-*.f32`
6 832×	`lower-*.f64`
2 960×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	157
0	41	157
1	127	157
2	785	157
0	8412	153

Stop Event

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

Counts

16 → 146

Calls

Call 1

Inputs
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
#s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64)))
(*.f64 y #s(literal 6 binary64))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x))
(.f64 (.f64 #s(literal -6 binary64) z) x)
(*.f64 #s(literal -6 binary64) z)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
(.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z)
#s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
(.f64 (.f64 y #s(literal 6 binary64)) z)
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 (*.f64 z x) #s(literal -6 binary64) x)
(*.f64 z x)

Outputs
#<batchref>
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eval94.0ms (1.2%)

Memory: -25.2MiB live, 190.0MiB allocated
Compiler: Compiled 6 628 to 528 computations (92% saved)

prune49.0ms (0.6%)

Memory

-0.5MiB live, 112.1MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	585	1	586
Fresh	1	1	2
Picked	0	5	5
Done	0	6	6
Total	586	13	599

Accuracy

100.0%

Counts

599 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
✓	71.9%	(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
✓	59.6%	#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
	59.6%	#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
	67.6%	#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (-.f64 y x) (/.f64 z #s(literal 1/6 binary64))))
✓	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
✓	67.7%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
✓	40.9%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
✓	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
✓	40.8%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
✓	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
✓	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
✓	28.1%	#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

Compiler

Compiled 265 to 165 computations (37.7% saved)

regimes37.0ms (0.5%)

Memory

6.2MiB live, 56.9MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
(fma.f64 #s(approx (- y x) (neg.f64 x)) (*.f64 z #s(literal 6 binary64)) x)
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (-.f64 y x) (/.f64 z #s(literal 1/6 binary64))))
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 6 binary64)))) z))

Outputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)

Calls

4 calls:

15.0ms	z
7.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes24.0ms (0.3%)

Memory

-0.7MiB live, 37.9MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
(+.f64 x (.f64 #s(approx ( (- y x) 6) (*.f64 y #s(literal 6 binary64))) z))
(fma.f64 #s(approx (- y x) (neg.f64 x)) (*.f64 z #s(literal 6 binary64)) x)

Outputs

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z))

(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64)))

Calls

4 calls:

7.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
6.0ms	y
5.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
88.2%	3	`x`
85.7%	3	`y`
98.3%	3	`z`
86.0%	4	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Outputs

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z))

(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes217.0ms (2.8%)

Memory

-25.5MiB live, 13.1MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)
(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)

Outputs

#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))

(fma.f64 #s(approx (* (- y x) 6) (*.f64 y #s(literal 6 binary64))) z x)

#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Calls

2 calls:

212.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
88.2%	3	`x`
83.0%	4	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes17.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)

Outputs

(fma.f64 #s(approx (* 6 (- y x)) (*.f64 #s(literal -6 binary64) x)) z x)

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 y #s(literal 6 binary64)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Calls

4 calls:

4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Results

Accuracy	Segments	Branch
69.0%	4	`z`
59.6%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
74.2%	3	`y`
79.7%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))
#s(approx (+ (* (- y x) (* z 6)) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Outputs

#s(approx (+ (* (- y x) (* z 6)) x) (*.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 y #s(literal 6 binary64)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

-31.1MiB live, 7.5MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))
#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))
#s(approx (+ (* (* 6 (- y x)) z) x) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Outputs

#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 y #s(literal 6 binary64)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
79.7%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y))

Outputs

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 z #s(literal 6 binary64)) y))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

Calls

4 calls:

3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Results

Accuracy	Segments	Branch
44.4%	2	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
51.7%	4	`z`
53.8%	3	`y`
56.4%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 y z) #s(literal 6 binary64)))

Outputs

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 (*.f64 y #s(literal 6 binary64)) z))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.4%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-23.6MiB live, 14.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (*.f64 (*.f64 #s(literal -6 binary64) z) x)))

#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (*.f64 (*.f64 z x) #s(literal -6 binary64))))

#s(approx (+ x (* (* (- y x) 6) z)) (*.f64 #s(approx (* (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

Outputs
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))

Calls

4 calls:

5.0ms	x
2.0ms	y
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
2.0ms	z

Results

Accuracy	Segments	Branch
28.1%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
28.1%	1	`z`
28.1%	1	`y`
28.1%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (*.f64 (*.f64 #s(literal -6 binary64) z) x)))

#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (*.f64 (*.f64 z x) #s(literal -6 binary64))))

Outputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Results

Accuracy	Segments	Branch
28.1%	1	`x`
28.1%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
28.1%	1	`y`
28.1%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

Outputs
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
1.0ms	y

Results

Accuracy	Segments	Branch
28.1%	1	`x`
28.1%	1	`z`
28.1%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
28.1%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.4%)

Memory

-28.1MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2380918201001936e-18	0.1861644473552414
14.0ms	-2.8813169837595085	-3.904319037687223e-10

Samples

15.0ms

320×

valid

Compiler

Compiled 312 to 354 computations (-13.5% saved)

Precisions

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

ival-mult: 4.0ms (53.2% of total)

ival-sub: 2.0ms (26.6% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2380918201001936e-18	0.1861644473552414
1.0ms	-2.8813169837595085	-3.904319037687223e-10

Compiler

Compiled 312 to 354 computations (-13.5% saved)

bsearch26.0ms (0.3%)

Memory

-1.0MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	40153917574836056.0	1089354935324391800.0
13.0ms	-60623143870730.336	-2696.736003289145

Samples

12.0ms

272×

valid

Compiler

Compiled 250 to 296 computations (-18.4% saved)

Precisions

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

ival-mult: 3.0ms (47.7% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

3.7MiB live, 46.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.4974321811187004e-39	1.2533887962536737e-26
13.0ms	-1.8591654446466908e-103	-2.48582809401243e-120

Samples

18.0ms

320×

valid

Compiler

Compiled 272 to 334 computations (-22.8% saved)

Precisions

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

ival-add: 5.0ms (47.2% of total)

ival-mult: 4.0ms (37.7% of total)

ival-sub: 2.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.4974321811187004e-39	1.2533887962536737e-26
1.0ms	-1.8591654446466908e-103	-2.48582809401243e-120

Compiler

Compiled 272 to 344 computations (-26.5% saved)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.4974321811187004e-39	1.2533887962536737e-26
1.0ms	-1.8591654446466908e-103	-2.48582809401243e-120

Compiler

Compiled 272 to 334 computations (-22.8% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	40153917574836056.0	1089354935324391800.0
1.0ms	-60623143870730.336	-2696.736003289145

Compiler

Compiled 233 to 303 computations (-30% saved)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	40153917574836056.0	1089354935324391800.0
1.0ms	-60623143870730.336	-2696.736003289145

Compiler

Compiled 233 to 303 computations (-30% saved)

simplify28.0ms (0.4%)

Memory

11.5MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	526
1	100	526
2	104	526
3	106	526
4	107	526

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))))
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))))
(if (<=.f64 x #s(literal -17500000000000 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) (fma.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -18000000000000 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))))
(if (<=.f64 x #s(literal -18000000000000 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

Outputs
(fma.f64 (*.f64 #s(literal 6 binary64) (-.f64 y x)) z x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z x)
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))))
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64)))))
(if (<=.f64 z #s(literal -5944751508129055/36028797018963968 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 #s(approx (* (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))))
(if (<=.f64 x #s(literal -17500000000000 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) (fma.f64 #s(approx ( (- y x) 6) (.f64 y #s(literal 6 binary64))) z x) #s(approx (+ x ( (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 #s(approx (* 6 (- y x)) (.f64 #s(literal -6 binary64) x)) z x) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ (* (- y x) (* z 6)) x) (.f64 (fma.f64 #s(literal -6 binary64) z #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -8779649585495489/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (.f64 z x) #s(literal -6 binary64) x)) (if (<=.f64 x #s(literal 5172172450422375/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (fma.f64 (*.f64 z x) #s(literal -6 binary64) x))))
(if (<=.f64 x #s(literal -18000000000000 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 z #s(literal 6 binary64)) y)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))))
(if (<=.f64 x #s(literal -18000000000000 binary64)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (.f64 #s(literal -6 binary64) x)) z)) (if (<=.f64 x #s(literal 290000000000000000 binary64)) #s(approx (+ x ( (* (- y x) 6) z)) (.f64 (.f64 y #s(literal 6 binary64)) z)) #s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))))
#s(approx (+ x (* (* (- y x) 6) z)) (.f64 #s(approx ( (- y x) 6) (*.f64 #s(literal -6 binary64) x)) z))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 z x) #s(literal -6 binary64))))
#s(approx (+ x (* (* (- y x) 6) z)) #s(approx (* (* (- y x) z) 6) (.f64 (.f64 #s(literal -6 binary64) z) x)))

soundness2.2s (27.6%)

Memory

-34.1MiB live, 1 124.5MiB allocated

Rules

13 512×	`lower-fma.f32`
13 508×	`lower-fma.f64`
10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
10 500×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	157
0	41	157
1	127	157
2	785	157
0	8412	153
0	97	2685
1	311	2685
2	914	2613
3	2605	2613
4	5163	2613
5	7473	2613
0	8055	2463
0	265	3920
1	810	3864
2	2293	3739
3	5453	3675
0	8268	3497
0	8	24
0	12	24
1	42	24
2	318	24
3	4203	24
0	8252	23
0	31	175
0	52	142
1	177	136
2	1289	136
0	8371	135
0	27	131
0	40	128
1	111	128
2	639	128
0	8434	128
0	97	741
1	311	741
2	914	705
3	2615	705
4	5179	705
5	7484	705
0	8013	675

Stop Event

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

Compiler

Compiled 624 to 399 computations (36.1% saved)

preprocess253.0ms (3.2%)

Memory: 14.2MiB live, 97.5MiB allocated
Compiler: Compiled 556 to 170 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (13.4%)

explain114.0ms (1.5%)

preprocess158.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.7%)

localize23.0ms (0.3%)

series9.0ms (0.1%)

simplify204.0ms (2.6%)

rewrite156.0ms (2%)

eval45.0ms (0.6%)

prune13.0ms (0.2%)

simplify105.0ms (1.4%)

localize166.0ms (2.1%)

series49.0ms (0.6%)

simplify318.0ms (4.1%)

rewrite196.0ms (2.5%)

eval278.0ms (3.6%)

prune74.0ms (1%)

simplify58.0ms (0.7%)

localize121.0ms (1.5%)

series31.0ms (0.4%)

simplify160.0ms (2.1%)

rewrite215.0ms (2.8%)

eval367.0ms (4.7%)

prune89.0ms (1.1%)

simplify236.0ms (3%)

localize82.0ms (1%)

series23.0ms (0.3%)

simplify150.0ms (1.9%)

rewrite233.0ms (3%)

eval94.0ms (1.2%)

prune49.0ms (0.6%)

regimes37.0ms (0.5%)

regimes24.0ms (0.3%)

regimes5.0ms (0.1%)

regimes217.0ms (2.8%)

regimes17.0ms (0.2%)

regimes4.0ms (0.1%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch2.0ms (0%)

bsearch26.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify28.0ms (0.4%)

soundness2.2s (27.6%)

preprocess253.0ms (3.2%)

end0.0ms (0%)

Profiling