Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

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

sample1.1s (11.1%)

Memory

44.9MiB live, 1 301.0MiB allocated

Samples

901.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 174.0ms (59.8% of total)

ival-sub: 105.0ms (36.1% of total)

ival-true: 5.0ms (1.7% of total)

exact: 4.0ms (1.4% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain82.0ms (0.8%)

Memory

-29.7MiB live, 173.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 binary64))`
-	-	`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

23.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (63.2% of total)

ival-sub: 2.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (0.6%)

Memory

-10.5MiB live, 83.4MiB allocated

Algorithm

1×	egg-herbie

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
174×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	69	63
2	165	63
3	407	63
4	772	63
5	970	63
6	1030	63
7	1030	63
0	7	7
0	10	7
1	16	7
2	28	7
3	36	7
4	63	7
5	106	7
6	190	7
7	312	7
8	404	7
9	429	7
10	437	7
0	437	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Symmetry

(sort x y)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.2%)

Memory

-1.3MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) y)
cost-diff	0	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
224×	`lower-*.f32`
220×	`lower-*.f64`
98×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
z

localize17.0ms (0.2%)

Memory

39.6MiB live, 39.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
accuracy	0.21875	(.f64 (.f64 x #s(literal 3 binary64)) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (64.3% of total)

ival-sub: 1.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Memory

-30.9MiB live, 14.3MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 x #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) (patch (-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 3 binary64)) y) (patch (.f64 (.f64 x #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x 3)
1.0ms	y	@	0	(- (* (* x 3) y) z)
1.0ms	y	@	inf	(- (* (* x 3) y) z)
0.0ms	x	@	inf	(- (* (* x 3) y) z)
0.0ms	x	@	0	(- (* (* x 3) y) z)

simplify162.0ms (1.6%)

Memory

3.1MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 582×	`lower-fma.f64`
3 582×	`lower-fma.f32`
2 750×	`lower-*.f64`
2 750×	`lower-*.f32`
1 560×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* x (+ (* -1 (/ z x)) (* 3 y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* x (+ (* -3 y) (/ z x))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* y (+ (* -1 (/ z y)) (* 3 x)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* y (+ (* -3 x) (/ z y))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* z (- (* 3 (/ (* x y) z)) 1))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(-.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z)
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 (* x y))
(.f64 x (.f64 #s(literal 3 binary64) y))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite412.0ms (4%)

Memory

-10.6MiB live, 577.3MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
4 312×	`lower-*.f32`
4 308×	`lower-*.f64`
3 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15

Stop Event

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

Counts

3 → 256

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(.f64 (.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (neg.f64 (/.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 #s(literal 3 binary64) (.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (.f64 z z) (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (neg.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))) (neg.f64 (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 19683 binary64))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z z (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))) (.f64 (.f64 z z) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 x (.f64 (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))) (.f64 (.f64 z z) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 19683 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))) (.f64 (.f64 z z) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z z))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))))) (fma.f64 z (-.f64 z (.f64 #s(literal 3 binary64) (.f64 x y))) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (-.f64 (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))))))
(.f64 (/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 (.f64 x x) (.f64 y y)) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))) (.f64 (.f64 z z) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x y) z) (.f64 (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (.f64 z z))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (*.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 0 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 (.f64 y y) #s(literal 9 binary64)) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) y)
(.f64 y (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) y) x)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 #s(literal 3 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 x #s(literal 3 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (.f64 x y))))
(.f64 (exp.f64 (log.f64 (.f64 x y))) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

eval39.0ms (0.4%)

Memory: 25.1MiB live, 119.9MiB allocated
Compiler: Compiled 15 517 to 700 computations (95.5% saved)

prune58.0ms (0.6%)

Memory

-27.6MiB live, 159.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	320	8	328
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	8	329

Accuracy

100.0%

Counts

329 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
▶	99.8%	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
	34.0%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z z)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
▶	40.6%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
▶	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
	50.1%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
▶	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 252 to 154 computations (38.9% saved)

simplify243.0ms (2.4%)

Memory

39.2MiB live, 564.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))
cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x y)))
cost-diff	320	(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
cost-diff	0	(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
cost-diff	0	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
cost-diff	192	(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64))
cost-diff	1984	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(literal 3 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

Rules

10 556×	`lower-fma.f32`
10 550×	`lower-fma.f64`
5 536×	`lower-*.f32`
5 514×	`lower-*.f64`
4 170×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	56	194
1	110	194
2	320	192
3	1371	192
4	3011	192
5	7842	192
0	8165	192

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(neg.f64 z)
z
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 0 binary64)
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
z
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x y)))
x
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
y
(/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(*.f64 #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
z
(neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))
(/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(*.f64 z z)

Outputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(.f64 x (.f64 y #s(literal 3 binary64)))
(*.f64 x y)
x
y
#s(literal 3 binary64)
z
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
z
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
(neg.f64 z)
z
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 x (.f64 y #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64))
(.f64 (.f64 x y) (.f64 x (.f64 y #s(literal 9 binary64))))
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(.f64 (.f64 x y) (.f64 x (.f64 y #s(literal 9 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 y y)
y
#s(literal 0 binary64)
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x y)
z
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(-.f64 (/.f64 (.f64 (.f64 x y) (.f64 x (.f64 y #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x y)))
(.f64 x (.f64 x (*.f64 y #s(literal 3 binary64))))
x
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 x (.f64 y #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x y)
y
(/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) z)
(fma.f64 x (*.f64 y #s(literal 3 binary64)) z)
z
(neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))
(/.f64 (.f64 z z) (-.f64 (.f64 x (*.f64 y #s(literal -3 binary64))) z))
(/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))
(*.f64 z z)

localize476.0ms (4.6%)

Memory

0.6MiB live, 192.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	7.292863149576432	(/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
accuracy	10.293992825280798	(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
accuracy	20.234734717957743	(/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
accuracy	0.11129630115753779	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	0.22265625	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	15.550605155131109	(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
accuracy	32.86331089745974	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0	(neg.f64 z)
accuracy	0.109375	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	31.626766576732415	#s(approx (- (* (* x 3) y) z) (neg.f64 z))
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
accuracy	0.22265625	(.f64 (.f64 x y) #s(literal 3 binary64))

Samples

75.0ms

256×

valid

Compiler

Compiled 227 to 33 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 41.0ms (71.5% of total)

ival-sub: 6.0ms (10.5% of total)

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

ival-add: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

-15.8MiB live, 78.1MiB allocated

Counts

17 → 456

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (neg.f64 z)) (patch #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z)) (patch (fma.f64 (.f64 x #s(literal 3 binary64)) y (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 3 binary64)) (patch (.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) (patch (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (patch (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z) (patch (-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (patch (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (patch (fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (patch (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (patch (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (patch (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) (patch (-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x y) #s(literal 3 binary64)) (patch (.f64 (.f64 x y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (patch (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (patch (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (patch (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))
3.0ms	x	@	inf	(* (* x x) 9)
2.0ms	x	@	0	(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))
1.0ms	x	@	0	(- (* (* (* x x) 9) (* y y)) 0)
1.0ms	x	@	inf	(+ (* (* x (* 3 (* x y))) (/ (* 3 y) (+ (* 3 (* x y)) z))) (neg (/ (* z z) (+ (* 3 (* x y)) z))))

simplify224.0ms (2.2%)

Memory

16.6MiB live, 386.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 762×	`lower-fma.f64`
6 762×	`lower-fma.f32`
4 716×	`lower-*.f64`
4 716×	`lower-*.f32`
2 256×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	4412
1	1770	4253
2	6026	4148
0	8153	4021

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 452

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (* 9 (/ (pow y 2) z)))))) z)
(- (* x (+ (* 3 y) (* x (+ (* -9 (/ (pow y 2) z)) (+ (* 9 (/ (pow y 2) z)) (* x (+ (* -27 (/ (pow y 3) (pow z 2))) (* 27 (/ (pow y 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))
(* x (+ (* -1 (/ z x)) (+ (* -1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 4) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 3) (pow y 2)))) (* 3 y)))))))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) x)))))
(* -1 (* x (+ (* -3 y) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow y 3))) (* 1/27 (/ (pow z 4) (pow y 3)))) (pow x 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) x)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (* 9 (/ (pow x 2) z)))))) z)
(- (* y (+ (* 3 x) (* y (+ (* -9 (/ (pow x 2) z)) (+ (* 9 (/ (pow x 2) z)) (* y (+ (* -27 (/ (pow x 3) (pow z 2))) (* 27 (/ (pow x 3) (pow z 2)))))))))) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))
(* y (+ (* -1 (/ z y)) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 4)))) (+ (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 3)))) (* 3 x)))))))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))))) y)))))
(* -1 (* y (+ (* -3 x) (* -1 (/ (+ (* -1 z) (+ (* -1 (/ (+ (* -1/27 (/ (pow z 4) (pow x 3))) (* 1/27 (/ (pow z 4) (pow x 3)))) (pow y 3))) (+ (* -1/9 (/ (pow z 3) (* (pow x 2) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) (pow y 2))))))) y)))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))))) 1))
(* z (- (+ (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (* 3 (/ (* x y) z)) (+ (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 27 (/ (* (pow x 3) (pow y 3)) (pow z 3))))))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -9 (* (pow x 2) (pow y 2))) (+ (* -1 (/ (+ (* -27 (* (pow x 3) (pow y 3))) (* 27 (* (pow x 3) (pow y 3)))) z)) (* 9 (* (pow x 2) (pow y 2))))) z)) (* 3 (* x y))) z)))))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* (pow x 2) y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 1/3 (/ (pow z 2) (* x y)))
(* (pow z 2) (+ (* -1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y)))))
z
(* z (+ 1 (* -3 (/ (* x y) z))))
(* z (- (+ 1 (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))) (* 3 (/ (* x y) z))))
(* z (- (+ 1 (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3)))) (+ (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* 3 (/ (* x y) z)))))
z
(* -1 (* z (- (* 3 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* 9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* 9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z)) 1)))
z
(+ z (* -3 (* x y)))
(+ z (* x (- (* 9 (/ (* x (pow y 2)) z)) (* 3 y))))
(+ z (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 2))) (* -9 (/ (pow y 2) z)))) (* 3 y))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* x (pow y 2)))) (* 1/3 (/ (pow z 2) y))) x)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/3 (/ (pow z 2) y))) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 3) (pow y 4)))) (* 1/3 (/ (pow z 2) y))) (+ (* -1/27 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 1/9 (/ (pow z 3) (* x (pow y 2)))))) x)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) y)) (* 1/9 (/ (pow z 3) (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* x (pow y 3)))) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* x (pow y 4)))) (* 1/27 (/ (pow z 4) (pow y 3)))) x)) (* 1/9 (/ (pow z 3) (pow y 2)))) x)) (* -1/3 (/ (pow z 2) y))) x))
z
(+ z (* -3 (* x y)))
(+ z (* y (- (* 9 (/ (* (pow x 2) y) z)) (* 3 x))))
(+ z (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 2))) (* -9 (/ (pow x 2) z)))) (* 3 x))))
(* 1/3 (/ (pow z 2) (* x y)))
(/ (+ (* -1/9 (/ (pow z 3) (* (pow x 2) y))) (* 1/3 (/ (pow z 2) x))) y)
(/ (- (+ (* 1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/3 (/ (pow z 2) x))) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (- (+ (* -1/81 (/ (pow z 5) (* (pow x 4) (pow y 3)))) (* 1/3 (/ (pow z 2) x))) (+ (* -1/27 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 1/9 (/ (pow z 3) (* (pow x 2) y))))) y)
(* 1/3 (/ (pow z 2) (* x y)))
(* -1 (/ (+ (* -1/3 (/ (pow z 2) x)) (* 1/9 (/ (pow z 3) (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 1/27 (/ (pow z 4) (* (pow x 3) y))) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ (pow z 5) (* (pow x 4) y))) (* 1/27 (/ (pow z 4) (pow x 3)))) y)) (* 1/9 (/ (pow z 3) (pow x 2)))) y)) (* -1/3 (/ (pow z 2) x))) y))
(* 3 (/ y z))
(* y (+ (* -9 (/ (* x y) (pow z 2))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* 27 (/ (* (pow x 2) y) (pow z 3))))) (* 3 (/ 1 z))))
(* y (+ (* y (+ (* -9 (/ x (pow z 2))) (* y (+ (* -81 (/ (* (pow x 3) y) (pow z 4))) (* 27 (/ (pow x 2) (pow z 3))))))) (* 3 (/ 1 z))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(- (+ (* 1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 1/3 (/ z (* (pow x 2) y))))
(- (+ (* -1/27 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -1/9 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ z (* (pow x 2) y)))))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* -1 (/ (- (* -1/9 (/ (pow z 2) (* (pow x 3) y))) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/27 (/ (pow z 3) (* (pow x 4) y))) (* -1/9 (/ (pow z 2) (pow x 3)))) y)) (* -1/3 (/ z (pow x 2)))) y)) (/ 1 x))
(* 3 (/ y z))
(+ (* -9 (/ (* x (pow y 2)) (pow z 2))) (* 3 (/ y z)))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* 27 (/ (* x (pow y 3)) (pow z 3))))))
(+ (* 3 (/ y z)) (* x (+ (* -9 (/ (pow y 2) (pow z 2))) (* x (+ (* -81 (/ (* x (pow y 4)) (pow z 4))) (* 27 (/ (pow y 3) (pow z 3))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (/ z (* x y)))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) x)
(/ (+ 1 (+ (* -1/3 (/ z (* x y))) (+ (* -1/27 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (* 1/9 (/ (pow z 2) (* (pow x 2) (pow y 2))))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ z (* x y))) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1/3 (/ z y)) (* 1/9 (/ (pow z 2) (* x (pow y 2))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (/ (pow z 2) (pow y 2))) (* 1/27 (/ (pow z 3) (* x (pow y 3))))) x)) (* -1/3 (/ z y))) x)) 1) x))
(/ 1 x)
(+ (* -1/3 (/ z (* (pow x 2) y))) (/ 1 x))
(+ (* z (- (* 1/9 (/ z (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(+ (* z (- (* z (+ (* -1/27 (/ z (* (pow x 4) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 3) (pow y 2)))))) (* 1/3 (/ 1 (* (pow x 2) y))))) (/ 1 x))
(* 3 (/ y z))
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (* 3 y)) z)
(/ (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2))))) z)
(/ (+ (* -81 (/ (* (pow x 3) (pow y 4)) (pow z 3))) (+ (* -9 (/ (* x (pow y 2)) z)) (+ (* 3 y) (* 27 (/ (* (pow x 2) (pow y 3)) (pow z 2)))))) z)
(* 3 (/ y z))
(* -1 (/ (+ (* -3 y) (* 9 (/ (* x (pow y 2)) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* 27 (/ (* (pow x 2) (pow y 3)) z))) z))) z))
(* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* -9 (* x (pow y 2))) (* -1 (/ (+ (* -27 (* (pow x 2) (pow y 3))) (* 81 (/ (* (pow x 3) (pow y 4)) z))) z))) z))) z))

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
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(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
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(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
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(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
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(*.f64 y (fma.f64 #s(literal 3 binary64) x (/.f64 z (neg.f64 y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) z) #s(literal -1 binary64)))
(* -1 z)
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(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
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(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
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(neg.f64 (.f64 z (fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 y z) #s(literal 1 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
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(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
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(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
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(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
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(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
(* 9 (* (pow x 2) (pow y 2)))
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(* 9 (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y)))
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rewrite522.0ms (5.1%)

Memory

10.7MiB live, 717.3MiB allocated

Rules

7 898×	`lower-fma.f32`
7 892×	`lower-fma.f64`
4 626×	`lower-*.f32`
4 604×	`lower-*.f64`
4 332×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
0	56	131
1	219	131
2	1752	123
0	9224	123

Stop Event

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

Counts

17 → 1 801

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(.f64 (.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
(neg.f64 z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(*.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))
(.f64 x (.f64 #s(literal 3 binary64) (*.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 x x) #s(literal 9 binary64))
(/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))

Outputs
(+.f64 (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64))))
(+.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (neg.f64 z))
(+.f64 (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z)
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (.f64 z z))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (.f64 z z))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))))))
(-.f64 (+.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) #s(literal 0 binary64)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(-.f64 (fma.f64 x (*.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z)))) (/.f64 (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (neg.f64 (.f64 z z))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64))) (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z)))) (/.f64 (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64)))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (+.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))))) (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (+.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))))))
(-.f64 (/.f64 (.f64 z z) (-.f64 (neg.f64 z) (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 (neg.f64 z) (.f64 x (*.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (-.f64 (neg.f64 (.f64 z z)) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (-.f64 (neg.f64 (.f64 z z)) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 x (/.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (.f64 (/.f64 y (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 x (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 z #s(literal -1 binary64) (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 z (neg.f64 (/.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(fma.f64 z (/.f64 z (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (neg.f64 z) (/.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 x y) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 x (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 x (.f64 x (.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (neg.f64 z))
(fma.f64 (.f64 y #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 x (.f64 x (.f64 y #s(literal 3 binary64))))) (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 x (.f64 x (.f64 y #s(literal 3 binary64)))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (.f64 z z) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 #s(literal -1 binary64) z (.f64 x (.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 z z) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (/.f64 (.f64 (.f64 x (.f64 y #s(literal 3 binary64))) (.f64 y #s(literal 3 binary64))) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) x (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (/.f64 y (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) x) (.f64 x (.f64 y #s(literal 3 binary64))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (.f64 x #s(literal 3 binary64))) (.f64 x y) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z))) (-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(fma.f64 (/.f64 (neg.f64 (.f64 z z)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (-.f64 z (.f64 x (.f64 y #s(literal 3 binary64)))))) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(fma.f64 (/.f64 (neg.f64 (.f64 z z)) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z))) (-.f64 (.f64 x (.f64 y #s(literal 3 binary64))) z) (/.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (fma.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z))) (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (neg.f64 (.f64 z (.f64 x (.f64 y #s(literal 3 binary64))))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 z (/.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (*.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(.f64 (/.f64 z (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) z)
(.f64 (/.f64 (.f64 z z) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (-.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(.f64 (/.f64 (.f64 z z) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z))) (-.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) z))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (*.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(neg.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(neg.f64 (/.f64 (.f64 y #s(literal -3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (.f64 y #s(literal 3 binary64)) z))
(/.f64 (.f64 y #s(literal -3 binary64)) (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y #s(literal -3 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))
(/.f64 (neg.f64 (neg.f64 (.f64 y #s(literal -3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (neg.f64 z)))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z)))
(pow.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x (.f64 y #s(literal 3 binary64)) z) (.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 y (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z))))
(.f64 y (/.f64 #s(literal 3 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(.f64 #s(literal 3 binary64) (/.f64 y (fma.f64 x (.f64 y #s(literal 3 binary64)) z)))
(.f64 (.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 (.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal -3 binary64)) (neg.f64 z))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 x (*.f64 y #s(literal 3 binary64)) z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (*.f64 y #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 x (.f64 y #s(literal 3 binary64)) z)) #s(literal 3 binary64))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27 binary64)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z (-.f64 z (.f64 x (*.f64 y #s(literal 3 binary64)))))))
(.f64 (/.f64 (.f64 y #s(literal 3 binary64)) (-.f64 (.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64)))) (.f64 z z))) (-.f64 (.f64 x (*.f64 y #s(literal 3 binary64))) z))

eval536.0ms (5.2%)

Memory: -3.8MiB live, 596.5MiB allocated
Compiler: Compiled 91 682 to 4 268 computations (95.3% saved)

prune490.0ms (4.8%)

Memory

-20.6MiB live, 795.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 407	4	2 411
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	2 410	9	2 419

Accuracy

100.0%

Counts

2 419 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
	56.9%	(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 y #s(literal 3 binary64)))) y) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x y))) z)
▶	61.6%	(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
▶	50.2%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
▶	50.1%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 214 to 136 computations (36.4% saved)

simplify228.0ms (2.2%)

Memory

17.6MiB live, 426.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
cost-diff	640	(.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
cost-diff	1344	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
cost-diff	0	(.f64 (.f64 x y) (*.f64 x y))
cost-diff	0	(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
cost-diff	0	(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
cost-diff	1984	(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))
cost-diff	0	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 x (.f64 #s(literal 3 binary64) y))
cost-diff	0	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x y))
cost-diff	0	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))

Rules

4 920×	`lower-*.f32`
4 900×	`lower-*.f64`
4 424×	`lower-fma.f32`
4 422×	`lower-fma.f64`
2 682×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	215
0	59	169
1	124	169
2	445	165
3	2478	165
4	6161	165
0	8189	164

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
(.f64 (.f64 x y) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
z
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
y
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
#s(literal 1/3 binary64)
(*.f64 x y)
(neg.f64 z)
z

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x #s(literal -3 binary64)) z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
z
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(.f64 #s(literal 3 binary64) (.f64 x y))
x
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (* (* x 3) y) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
(*.f64 x y)
x
y
(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (.f64 x y))
(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
(.f64 x (.f64 #s(literal 9 binary64) (.f64 y (.f64 x y))))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (.f64 y (*.f64 x y)))
(*.f64 x y)
x
y
#s(literal 9 binary64)
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(literal 3 binary64)
z
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x (*.f64 x y)))
y
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 #s(literal 9 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
#s(literal 1/3 binary64)
(*.f64 x y)
(neg.f64 z)
z

localize110.0ms (1.1%)

Memory

46.2MiB live, 275.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.5196282370968845	(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
accuracy	8.301159242590607	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
accuracy	10.398859771055807	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
accuracy	12.9484947744527	(.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
accuracy	0.109375	(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
accuracy	0.21322250976844204	(.f64 (.f64 x y) (*.f64 x y))
accuracy	0.22265625	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	32.86331089745974	(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
accuracy	0	(*.f64 x y)
accuracy	0.22265625	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	31.79999350594623	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.2421875	(.f64 x (.f64 #s(literal 3 binary64) y))
accuracy	31.79999350594623	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
accuracy	0.00390625	(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
accuracy	0.22265625	(.f64 #s(literal 3 binary64) (.f64 x y))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
accuracy	0.3750969870968845	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))

Samples

64.0ms

256×

valid

Compiler

Compiled 206 to 37 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (54.7% of total)

ival-div: 7.0ms (16.7% of total)

ival-sub: 5.0ms (11.9% of total)

const: 4.0ms (9.5% of total)

ival-add: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

-55.8MiB live, 75.7MiB allocated

Counts

18 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) (patch (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) (.f64 x y)) (patch (.f64 #s(literal 3 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (patch #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 #s(literal 3 binary64) y)) (patch (.f64 x (.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) y) (patch (.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y))) (patch #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) (patch (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z) (patch (-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (patch (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) (.f64 x y)) (patch (.f64 (.f64 x y) (.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y))) (neg.f64 z)) (patch (fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y))) (patch (.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* -3 (/ (* x y) (pow z 2))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)) #<representation binary64>) () ())) ())
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#s(alt (* 9 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf y) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor 0 x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (* (pow x 2) y)) (taylor -inf x) (#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 (* x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 x y)) #<representation binary64>) () ())) ())

Calls

123 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(/ 1 (- (* 3 (* x y)) z))
8.0ms	x	@	0	(/ 1 (/ 1 (- (* 3 (* x y)) z)))
0.0ms	x	@	inf	(/ 1/3 (* x y))
0.0ms	y	@	inf	(/ 1/3 (* x y))
0.0ms	x	@	inf	(/ 1 (- (* 3 (* x y)) z))

simplify332.0ms (3.2%)

Memory

-5.8MiB live, 410.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 350×	`lower-fma.f64`
6 350×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 814×	`lower-*.f32`
4 726×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	3753
1	793	3663
2	2465	3623
3	7222	3622
0	8334	3565

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(/ -1 z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(/ 1/3 (* x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/ 1/3 (* x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* 1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(/ 1/3 (* x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(/ -1 z)
(/ (- (* -3 (/ (* x y) z)) 1) z)
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z)
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 27 (/ (* (pow x 3) (pow y 3)) z)) (* -9 (* (pow x 2) (pow y 2)))) z)) (* 3 (* x y))) z))) z))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* 9 (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))
(/ 1/3 (* x y))

Outputs
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z)
(- (* x (- (* -9 (/ (* x (pow y 2)) (pow z 3))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(fma.f64 x (/.f64 (.f64 x (.f64 #s(literal -9 binary64) (.f64 y y))) (.f64 z (.f64 z z))) (/.f64 (fma.f64 x (/.f64 (.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z))
(- (* x (- (* x (- (* -27 (/ (* x (pow y 3)) (pow z 4))) (* 9 (/ (pow y 2) (pow z 3))))) (* 3 (/ y (pow z 2))))) (/ 1 z))
(fma.f64 x (.f64 x (fma.f64 (.f64 x (.f64 y (.f64 y y))) (/.f64 #s(literal -27 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 (.f64 #s(literal -9 binary64) (.f64 y y)) (.f64 z (.f64 z z))))) (/.f64 (fma.f64 x (/.f64 (.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* 1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x)
(fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* 1/3 (/ 1 y))) (* -1/9 (/ z (* x (pow y 2))))) x)
(/.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) x))) y)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (* 1/3 (/ 1 y))) (+ (* -1/9 (/ z (* x (pow y 2)))) (* -1/27 (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 y y))) (fma.f64 #s(literal 1/27 binary64) (/.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) y)))) x)
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (/ (- (* -1/9 (/ z (* x (pow y 2)))) (* 1/3 (/ 1 y))) x))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* x (pow y 3)))) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) x))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* x (pow y 4)))) (* 1/27 (/ (pow z 2) (pow y 3)))) x)) (* -1/9 (/ z (pow y 2)))) x)) (* 1/3 (/ 1 y))) x))
(neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x (pow.f64 y #s(literal 4 binary64))))) (fma.f64 #s(literal -1/27 binary64) (/.f64 (.f64 z z) (.f64 x (.f64 y (.f64 y y)))) (/.f64 (.f64 z #s(literal -1/9 binary64)) (.f64 y y)))) (.f64 x x)) (/.f64 #s(literal -1/3 binary64) (.f64 x y))))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -3 (/ (* x y) (pow z 2))) (/ 1 z))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z)
(- (* y (- (* -9 (/ (* (pow x 2) y) (pow z 3))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (*.f64 x x)) z))) z)) z)
(- (* y (- (* y (- (* -27 (/ (* (pow x 3) y) (pow z 4))) (* 9 (/ (pow x 2) (pow z 3))))) (* 3 (/ x (pow z 2))))) (/ 1 z))
(fma.f64 y (.f64 y (fma.f64 #s(literal -9 binary64) (/.f64 (.f64 x x) (.f64 z (.f64 z z))) (/.f64 (.f64 y (.f64 #s(literal -27 binary64) (.f64 x (.f64 x x)))) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (fma.f64 x (/.f64 (.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ (+ (* 1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y)
(fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/ (- (+ (* 1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))) (* 1/3 (/ 1 x))) (* -1/9 (/ z (* (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) x))) y)
(/ (- (+ (* 1/81 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (* 1/3 (/ 1 x))) (+ (* -1/9 (/ z (* (pow x 2) y))) (* -1/27 (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 1/27 binary64) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x y))) (fma.f64 #s(literal 1/81 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/3 binary64) x)))) y)
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (/ (- (* -1/9 (/ z (* (pow x 2) y))) (* 1/3 (/ 1 x))) y))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(* -1 (/ (- (* -1 (/ (- (* 1/27 (/ (pow z 2) (* (pow x 3) y))) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 y (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/9 binary64) (/.f64 z (.f64 x (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) x))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/81 (/ (pow z 3) (* (pow x 4) y))) (* 1/27 (/ (pow z 2) (pow x 3)))) y)) (* -1/9 (/ z (pow x 2)))) y)) (* 1/3 (/ 1 x))) y))
(neg.f64 (+.f64 (/.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal -1/81 binary64) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/27 binary64) (/.f64 (.f64 z z) (.f64 y (.f64 x (.f64 x x)))) (.f64 #s(literal -1/9 binary64) (/.f64 z (.f64 x x))))) (.f64 y y)) (/.f64 #s(literal -1/3 binary64) (.f64 x y))))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(+ (* 1/9 (/ z (* (pow x 2) (pow y 2)))) (* 1/3 (/ 1 (* x y))))
(fma.f64 z (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y)))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(+ (* z (+ (* 1/27 (/ z (* (pow x 3) (pow y 3)))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(fma.f64 z (fma.f64 z (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(+ (* z (+ (* z (+ (* 1/81 (/ z (* (pow x 4) (pow y 4)))) (* 1/27 (/ 1 (* (pow x 3) (pow y 3)))))) (* 1/9 (/ 1 (* (pow x 2) (pow y 2)))))) (* 1/3 (/ 1 (* x y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal 1/81 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/9 binary64) (.f64 y (.f64 x (.f64 x y))))) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -3 (/ (* x y) z)) 1) z)
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z)
(/ (- (* -9 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ 1 (* 3 (/ (* x y) z)))) z)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (*.f64 x x)) z))) z)) z)
(/ (- (* -27 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ 1 (+ (* 3 (/ (* x y) z)) (* 9 (/ (* (pow x 2) (pow y 2)) (pow z 2)))))) z)
(/.f64 (+.f64 (/.f64 (fma.f64 x (.f64 y #s(literal -3 binary64)) (.f64 (.f64 y y) (/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) z))) z) (fma.f64 #s(literal -27 binary64) (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x)))) (.f64 z (.f64 z z))) #s(literal -1 binary64))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (+ 1 (* 3 (/ (* x y) z))) z))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -3 binary64)) z) #s(literal -1 binary64)) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -9 (/ (* (pow x 2) (pow y 2)) z)) (* 3 (* x y))) z))) z))
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(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* 9 (* (pow x 2) (pow y 2)))
(.f64 y (.f64 y (.f64 #s(literal 9 binary64) (.f64 x x))))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 x (*.f64 x y)))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(neg.f64 (*.f64 y (fma.f64 x #s(literal -3 binary64) (/.f64 z y))))
(* -1 z)
(neg.f64 z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(- (* 3 (* x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(neg.f64 (*.f64 x (fma.f64 y #s(literal -3 binary64) (/.f64 z x))))
(* 3 (* x y))
(.f64 #s(literal 3 binary64) (.f64 x y))
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(+ (* -1 z) (* 3 (* x y)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(* -1 z)
(neg.f64 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* z (- (* 3 (/ (* x y) z)) 1))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (* (pow x 2) y))
(.f64 y (.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))
(/ 1/3 (* x y))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))

rewrite846.0ms (8.2%)

Memory

17.5MiB live, 682.1MiB allocated

Rules

7 122×	`lower-fma.f32`
7 120×	`lower-fma.f64`
4 904×	`lower-*.f32`
4 884×	`lower-*.f64`
2 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	170
0	59	120
1	232	120
2	2103	120
0	9069	120

Stop Event

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

Counts

18 → 3 380

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(.f64 #s(literal 3 binary64) (.f64 x y))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
(.f64 x (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(*.f64 x y)
(/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64))
(.f64 (.f64 x y) (*.f64 x y))
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
(.f64 y (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x y))

Outputs
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (neg.f64 z) (.f64 #s(literal 3 binary64) (.f64 x y)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 #s(literal 3 binary64) (*.f64 x y)) z)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 #s(literal 3 binary64) (.f64 x y))))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (+.f64 #s(literal 0 binary64) z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 y (.f64 x (.f64 y #s(literal 9 binary64)))) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 x (.f64 y (.f64 x (.f64 y #s(literal 9 binary64)))) (.f64 z (fma.f64 #s(literal 3 binary64) (.f64 x y) z)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y)))) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z)))
(-.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x y)) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x y)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (.f64 x y) (.f64 #s(literal 1 binary64) (neg.f64 z)))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 3 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) x)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 y y)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 x x)) (.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 x (.f64 x #s(literal 9 binary64)))) (*.f64 y y))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 x (.f64 (*.f64 x #s(literal 9 binary64)) y))) y)
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 x y)) (.f64 x (*.f64 y #s(literal 9 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 9 binary64))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x y)))
(.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 y (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 (.f64 x y) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 (.f64 #s(literal 3 binary64) x) (/.f64 y (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 (.f64 #s(literal 3 binary64) y) (/.f64 x (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (.f64 y y))))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x y)) (/.f64 (.f64 x y) (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 y y)) (/.f64 (.f64 x y) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 x y) (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 3 binary64) (*.f64 y y)))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 (.f64 x y) (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (.f64 x y) (.f64 y y)) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y))) (/.f64 (*.f64 x y) y))
(.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 x (*.f64 y y)))
(.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 x (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) y) (*.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 y y)) (/.f64 x (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 x (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y))) (/.f64 (*.f64 #s(literal 3 binary64) y) y))
(.f64 (/.f64 y (.f64 y y)) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 y y)))
(.f64 (/.f64 y (.f64 x x)) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 y (.f64 x (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) x) (*.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 y y)) (/.f64 y (.f64 x (*.f64 x #s(literal 9 binary64)))))
(.f64 (/.f64 y (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y))) (/.f64 (*.f64 #s(literal 3 binary64) x) y))
(.f64 (/.f64 (.f64 x y) (.f64 x x)) (/.f64 #s(literal 3 binary64) (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 (.f64 x y) (.f64 x (.f64 (*.f64 x #s(literal 9 binary64)) y))) (/.f64 #s(literal 3 binary64) y))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x x)) (/.f64 y (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 (*.f64 x #s(literal 9 binary64)) y))) (/.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x x)) (/.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 (*.f64 x #s(literal 9 binary64)) y))) (/.f64 x y))
(.f64 (/.f64 y (.f64 x y)) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 x y) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 3 binary64) (.f64 x (.f64 y (.f64 x y)))) (/.f64 (*.f64 x y) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 x y) #s(literal 9 binary64)) (/.f64 #s(literal 3 binary64) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 x (.f64 x y)) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 x #s(literal 9 binary64)) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x (.f64 y (*.f64 x y)))) (/.f64 x #s(literal 9 binary64)))
(.f64 (/.f64 x (.f64 x (.f64 y (.f64 x y)))) (/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) #s(literal 9 binary64)) (/.f64 x (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 y #s(literal 9 binary64)) (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x (.f64 y (*.f64 x y)))) (/.f64 y #s(literal 9 binary64)))
(.f64 (/.f64 y (.f64 x (.f64 y (.f64 x y)))) (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (/.f64 y (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (.f64 x y) (.f64 x y)) (/.f64 #s(literal 3 binary64) (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) x) (.f64 x y)) (/.f64 y (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 x y)) (/.f64 x (.f64 x (*.f64 y #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 729 binary64)))) (.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 x y)))) #s(literal 81 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) (.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) #s(literal 81 binary64))) (.f64 x (.f64 x (.f64 #s(literal 9 binary64) (*.f64 y y)))))

eval801.0ms (7.8%)

Memory: 32.6MiB live, 1 479.7MiB allocated
Compiler: Compiled 119 563 to 6 205 computations (94.8% saved)

prune816.0ms (8%)

Memory

27.0MiB live, 1 370.4MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	4 668	6	4 674
Fresh	1	0	1
Picked	3	2	5
Done	0	3	3
Total	4 672	11	4 683

Accuracy

100.0%

Counts

4 683 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
▶	86.3%	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
▶	91.7%	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
	21.2%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y))) (.f64 x y)))
▶	50.1%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
▶	50.1%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
✓	50.2%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	50.1%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 210 to 136 computations (35.2% saved)

simplify220.0ms (2.1%)

Memory

11.5MiB live, 299.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
cost-diff	0	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
cost-diff	0	(.f64 z (.f64 x y))
cost-diff	0	(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
cost-diff	1024	(/.f64 (.f64 z (.f64 x y)) z)
cost-diff	0	(/.f64 x #s(literal 1/3 binary64))
cost-diff	0	(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) y)
cost-diff	0	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
cost-diff	0	(/.f64 (*.f64 x y) z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
cost-diff	896	(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))

Rules

5 354×	`lower-*.f32`
5 336×	`lower-*.f64`
3 164×	`lower-fma.f32`
3 158×	`lower-fma.f64`
2 544×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	237
0	66	217
1	131	217
2	348	191
3	1427	179
4	4215	179
0	8249	179

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
z
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal -1 binary64)
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
y
(/.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
#s(literal 3 binary64)
(/.f64 (.f64 z (.f64 x y)) z)
(.f64 z (.f64 x y))
z
(*.f64 x y)
x
y
(neg.f64 z)
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
y
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(neg.f64 z)
z

Outputs
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
z
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
#s(literal -1 binary64)
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 #s(literal 3 binary64) (.f64 x y)))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(.f64 #s(literal 3 binary64) (.f64 x y))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (/.f64 (*.f64 x y) #s(literal 1/3 binary64)))
(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
y
(/.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)
#s(literal 3 binary64)
(/.f64 (.f64 z (.f64 x y)) z)
(*.f64 x y)
(.f64 z (.f64 x y))
(.f64 y (.f64 x z))
z
(*.f64 x y)
x
y
(neg.f64 z)
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
(fma.f64 x (.f64 #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (.f64 x (.f64 y #s(literal 9 binary64)))) (neg.f64 z))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
y
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(*.f64 x x)
x
#s(literal 9 binary64)
#s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(neg.f64 z)
z

localize523.0ms (5.1%)

Memory

-66.6MiB live, 365.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07259750976844202	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	0.24609375	(/.f64 #s(literal 1/3 binary64) x)
accuracy	4.393629649341338	(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
accuracy	6.524156518461085	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
accuracy	0	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
accuracy	0.0703125	(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
accuracy	3.3763245788381266	(.f64 z (.f64 x y))
accuracy	6.871857219263295	(/.f64 (.f64 z (.f64 x y)) z)
accuracy	0.09375	(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
accuracy	0.171875	(/.f64 x #s(literal 1/3 binary64))
accuracy	20.127228760748807	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0.09375	(.f64 (.f64 #s(literal 3 binary64) x) y)
accuracy	20.127228760748807	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
accuracy	0	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
accuracy	0.0625	(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
accuracy	2.908319649126798	(/.f64 (*.f64 x y) z)
accuracy	3.8128758082904115	(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))

Samples

96.0ms	87×	5	exit
72.0ms	169×	0	valid

Compiler

Compiled 200 to 42 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 45.0ms (35% of total)

ival-mult: 36.0ms (28% of total)

adjust: 19.0ms (14.8% of total)

const: 17.0ms (13.2% of total)

ival-sub: 5.0ms (3.9% of total)

ival-add: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series58.0ms (0.6%)

Memory

-1.3MiB live, 87.2MiB allocated

Counts

19 → 528

Calls

Call 1

Inputs
#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x y) z) (patch (/.f64 (.f64 x y) z) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) (patch #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) x) y) (patch (.f64 (.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) x) (patch (.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 y (/.f64 x #s(literal 1/3 binary64)))) (patch #s(approx (- (/ (- ( (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 x #s(literal 1/3 binary64))) (patch (.f64 y (/.f64 x #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 1/3 binary64)) (patch (/.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z (.f64 x y)) z) (patch (/.f64 (.f64 z (.f64 x y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)) (patch (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 z (.f64 x y)) (patch (.f64 z (.f64 x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z)) (patch (fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (patch (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 3 (* x y)) (taylor 0 z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 3 (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -3 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* 3 (* x y))) (taylor 0 y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ z y)) (* 3 x))) (taylor inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -3 x) (/ z y)))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) (patch (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 3 (* x y)) z) (taylor 0 x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ z x)) (* 3 y))) (taylor inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 y) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) (patch #s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())

Calls

132 calls:

Time	Variable		Point	Expression
25.0ms	z	@	inf	(/ (* x y) z)
5.0ms	z	@	0	(/ (* x y) z)
1.0ms	z	@	0	(* z (+ (* 3 (/ (* x y) z)) -1))
1.0ms	z	@	inf	(* z (+ (* 3 (/ (* x y) z)) -1))
1.0ms	z	@	-inf	(* z (+ (* 3 (/ (* x y) z)) -1))

simplify197.0ms (1.9%)

Memory

38.5MiB live, 360.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 850×	`lower-fma.f64`
4 850×	`lower-fma.f32`
3 300×	`lower-*.f64`
3 300×	`lower-*.f32`
1 980×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2916
1	190	2916
2	539	2916
3	1268	2916
4	3048	2916
5	4975	2916
6	7424	2916
0	8130	2889

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
-1
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(* 3 (/ (* x y) z))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* x (- (* 3 (/ y z)) (/ 1 x)))
(* 3 (/ (* x y) z))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
(* -1 (* x (+ (* -3 (/ y z)) (/ 1 x))))
-1
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(* 3 (/ (* x y) z))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* y (- (* 3 (/ x z)) (/ 1 y)))
(* 3 (/ (* x y) z))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(* -1 (* y (+ (* -3 (/ x z)) (/ 1 y))))
(* 3 (/ (* x y) z))
(/ (+ (* -1 z) (* 3 (* x y))) z)
(/ (+ (* -1 z) (* 3 (* x y))) z)
(/ (+ (* -1 z) (* 3 (* x y))) z)
-1
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
-1
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(- (* 3 (/ (* x y) z)) 1)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* y (+ (* -1 (/ z y)) (* 3 x)))
(* 3 (* x y))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 (* y (+ (* -3 x) (/ z y))))
(* -1 z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(- (* 3 (* x y)) z)
(* 3 (* x y))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* x (+ (* -1 (/ z x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* -1 (* x (+ (* -3 y) (/ z x))))
(* 3 (* x y))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(+ (* -1 z) (* 3 (* x y)))
(* -1 z)
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* z (- (* 3 (/ (* x y) z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -3 (/ (* x y) z)))))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (* (pow x 2) y))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)

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

rewrite375.0ms (3.7%)

Memory

-26.5MiB live, 421.2MiB allocated

Rules

9 432×	`lower-fma.f32`
9 426×	`lower-fma.f64`
4 820×	`lower-*.f32`
4 802×	`lower-*.f64`
3 964×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	196
0	66	182
1	251	182
2	1922	178
0	9027	178

Stop Event

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

Counts

19 → 445

Calls

Call 1

Inputs
(.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
(/.f64 (*.f64 x y) z)
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(.f64 (.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) x)
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
(*.f64 y (/.f64 x #s(literal 1/3 binary64)))
(/.f64 x #s(literal 1/3 binary64))
(/.f64 (.f64 z (.f64 x y)) z)
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z))
(.f64 z (.f64 x y))
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
(.f64 y (.f64 (*.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(/.f64 #s(literal 1/3 binary64) x)

Outputs
(+.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z))
(+.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) (neg.f64 z))
(-.f64 #s(literal 0 binary64) (-.f64 z (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z)))
(-.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) z)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (-.f64 (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z) (neg.f64 z))) (/.f64 (.f64 z z) (-.f64 (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z) (neg.f64 z))))
(-.f64 (fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) z)) (/.f64 (.f64 z z) (fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) z)))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (fma.f64 z z (.f64 (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (fma.f64 z z (.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) z)))))
(-.f64 (/.f64 (.f64 z z) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z))))
(fma.f64 z #s(literal -1 binary64) (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z))
(fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) (neg.f64 z))
(fma.f64 #s(literal 3 binary64) (.f64 z (/.f64 (.f64 x y) z)) (neg.f64 z))
(fma.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal 3 binary64) z) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z))
(fma.f64 (.f64 z (.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (neg.f64 z))
(fma.f64 (.f64 z (/.f64 (.f64 x y) z)) #s(literal 3 binary64) (neg.f64 z))
(fma.f64 (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) z (neg.f64 z))
(fma.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) (/.f64 #s(literal 1 binary64) z) (neg.f64 z))
(fma.f64 (.f64 #s(literal 3 binary64) z) (/.f64 (.f64 x y) z) (neg.f64 z))
(fma.f64 (.f64 z #s(literal 3 binary64)) (/.f64 (.f64 x y) z) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z))) (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z) (neg.f64 z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z))) (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z) (neg.f64 z)) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (*.f64 z z))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z)))) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z)))) (fma.f64 z z (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 (.f64 z (/.f64 (.f64 x y) z)) (*.f64 #s(literal 3 binary64) (neg.f64 z))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 z z)) (-.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) (neg.f64 z)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 z z)) (fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) z))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) z)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 z z (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 (.f64 z (/.f64 (.f64 x y) z)) (*.f64 #s(literal 3 binary64) (neg.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 z z))) (neg.f64 (-.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z)) (.f64 z z))) (neg.f64 (fma.f64 z (/.f64 (.f64 x (.f64 #s(literal 3 binary64) y)) z) z)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) #s(literal -27 binary64)) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (.f64 z (.f64 z z))) (fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (fma.f64 z z (.f64 (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z) z))))
(/.f64 (-.f64 (.f64 z z) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (.f64 z z))) (-.f64 (neg.f64 z) (/.f64 (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))) z)))
(/.f64 (.f64 z (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) #s(literal -1 binary64))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64)))))
(/.f64 (.f64 z (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 27 binary64) (/.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (.f64 z (.f64 z z))) #s(literal -1 binary64)) z) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 x y) z) #s(literal -3 binary64)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (.f64 y y))) (.f64 z z)) #s(literal -1 binary64)) z) (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x y) z) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 z (.f64 z (.f64 x y))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (/.f64 z (.f64 z (.f64 x y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) z (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) z))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (neg.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 #s(literal 3 binary64) (neg.f64 (.f64 z (.f64 x y)))))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 (neg.f64 (.f64 z (.f64 x y))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 z (.f64 z (.f64 x y))) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 3 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 z (*.f64 x y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) z (.f64 (+.f64 #s(literal 0 binary64) z) (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))))) (.f64 (+.f64 #s(literal 0 binary64) z) z))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))))) (.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) z) (.f64 #s(literal 3 binary64) (neg.f64 (.f64 z (.f64 x y)))))) (.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (neg.f64 z) (.f64 (+.f64 #s(literal 0 binary64) z) (.f64 (neg.f64 (.f64 z (.f64 x y))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 z)))
(/.f64 (fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 (/.f64 z (.f64 z (.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (.f64 (/.f64 z (.f64 z (.f64 x y))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 #s(literal 3 binary64) (+.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z (.f64 z (.f64 x y))) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (/.f64 z (.f64 z (*.f64 x y))) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (.f64 (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z) (.f64 (/.f64 z (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (/.f64 z (.f64 z (.f64 x (*.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (fma.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 z (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (.f64 z (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 0 binary64) z) (.f64 z (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 z (+.f64 #s(literal 0 binary64) z)))
(/.f64 (fma.f64 (neg.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (.f64 (neg.f64 z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 (neg.f64 (.f64 z (.f64 x (.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 0 binary64) z) (.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (neg.f64 z) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 (.f64 z (.f64 x y)))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))) (.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))))) (.f64 (neg.f64 z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 (.f64 z (.f64 x y)))) (+.f64 #s(literal 0 binary64) z) (.f64 (neg.f64 z) (-.f64 #s(literal 0 binary64) (.f64 z z)))) (.f64 (neg.f64 z) (+.f64 #s(literal 0 binary64) z)))
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(pow.f64 (/.f64 (fma.f64 y (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (neg.f64 (neg.f64 z))) (fma.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) (.f64 #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (neg.f64 (*.f64 z z)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 729 binary64))) (.f64 #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (.f64 #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x))))))))
(.f64 (fma.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) (.f64 #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 x y) (.f64 x #s(literal 9 binary64))) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) #s(approx (* y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)))) (neg.f64 (neg.f64 z)))))
(.f64 x (.f64 (*.f64 x #s(literal 9 binary64)) y))
(.f64 y (.f64 x (*.f64 x #s(literal 9 binary64))))
(.f64 (.f64 x y) (*.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 #s(literal 9 binary64) y))
(.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) y)
(.f64 (.f64 y (*.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 y #s(literal 9 binary64)) (*.f64 x x))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/3 binary64))

eval112.0ms (1.1%)

Memory: 10.7MiB live, 201.7MiB allocated
Compiler: Compiled 17 027 to 947 computations (94.4% saved)

prune160.0ms (1.6%)

Memory

-4.6MiB live, 183.9MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	972	1	973
Fresh	1	0	1
Picked	0	5	5
Done	0	5	5
Total	973	11	984

Accuracy

100.0%

Counts

984 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
✓	99.8%	(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
	78.0%	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 z x) y) z) (neg.f64 z)))
✓	86.3%	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
✓	91.7%	#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
✓	50.1%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
✓	50.1%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
✓	50.2%	#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
✓	50.1%	#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
✓	50.6%	#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Compiler

Compiled 371 to 156 computations (58% saved)

regimes47.0ms (0.5%)

Memory

0.0MiB live, 53.8MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (neg.f64 z))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 y (/.f64 x #s(literal 1/3 binary64))))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (.f64 z (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) z) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 z (.f64 x y)) z) (neg.f64 z)))
#s(approx (/ 1 (/ 1 (- (* 3 (* x y)) z))) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 z x) y) z) (neg.f64 z)))
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) #s(approx ( y (/ 1/3 (* x y))) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3 binary64) (.f64 x y)) z)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (/.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 x (.f64 (.f64 x #s(literal 9 binary64)) y))) (.f64 x y)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(fma.f64 (.f64 y (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 y (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) (neg.f64 z))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) #s(literal 0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x y))) z)
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 y #s(literal 3 binary64)))) y) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (*.f64 x y))) z)
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 y y)) (.f64 z z)) (fma.f64 #s(literal 3 binary64) (.f64 x y) z))
(fma.f64 (.f64 x (.f64 #s(literal 3 binary64) (.f64 x y))) (/.f64 (.f64 #s(literal 3 binary64) y) (fma.f64 #s(literal 3 binary64) (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 #s(literal 3 binary64) (*.f64 x y) z))))

Outputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)

Calls

6 calls:

17.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
6.0ms	z
6.0ms	(*.f64 x #s(literal 3 binary64))
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes43.0ms (0.4%)

Memory

-17.6MiB live, 27.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Outputs
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Calls

6 calls:

31.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes13.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))
#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 #s(literal 3 binary64) x) y))

Outputs

#s(approx (- (* (* x 3) y) z) (*.f64 x (*.f64 #s(literal 3 binary64) y)))

#s(approx (- (* (* x 3) y) z) (neg.f64 z))

#s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (*.f64 #s(literal 3 binary64) (*.f64 x y)))

Calls

6 calls:

2.0ms	z
2.0ms	(*.f64 x #s(literal 3 binary64))
2.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
74.4%	3	`x`
73.4%	3	`y`
75.7%	3	`z`
63.2%	3	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
80.7%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`
74.4%	3	`(*.f64 x #s(literal 3 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))

Outputs
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))
#s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))

Calls

1 calls:

1.0ms

(*.f64 (*.f64 x #s(literal 3 binary64)) y)

Results

Accuracy	Segments	Branch
80.6%	3	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-24.5MiB live, 18.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Outputs
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Calls

6 calls:

4.0ms	x
1.0ms	y
1.0ms	(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
1.0ms	(*.f64 x #s(literal 3 binary64))
1.0ms	z

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)`
50.6%	1	`y`
50.6%	1	`x`
50.6%	1	`(*.f64 x #s(literal 3 binary64))`
50.6%	1	`z`
50.6%	1	`(.f64 (.f64 x #s(literal 3 binary64)) y)`

Compiler

Compiled 36 to 27 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4698658189166438e+95	2.1164869057400863e+97
0.0ms	-4.738412247676485e-25	-3.385872161808774e-30

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4698658189166438e+95	2.1164869057400863e+97
0.0ms	-4.738412247676485e-25	-3.385872161808774e-30

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	140
1	50	140
2	54	140
3	55	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

Outputs
(-.f64 (.f64 (.f64 x y) #s(literal 3 binary64)) z)
(-.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) z)
(-.f64 (.f64 y (.f64 x #s(literal 3 binary64))) z)
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 #s(literal 3 binary64) (.f64 x y)))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64)))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (/ (- (* (* (* x x) 9) (* y y)) 0) (* 3 (* x y))) z) (.f64 (.f64 x y) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y))) (if (<=.f64 (.f64 (.f64 x #s(literal 3 binary64)) y) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 #s(literal 3 binary64) y)))))
(if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal -8711228593176025/21778071482940061661655974875633165533184 binary64)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64)))) (if (<=.f64 (.f64 y (.f64 x #s(literal 3 binary64))) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (- (* (* x 3) y) z) (neg.f64 z)) #s(approx (- (* (* x 3) y) z) (.f64 x (.f64 y #s(literal 3 binary64))))))
#s(approx (- (* (* x 3) y) z) (neg.f64 z))

soundness721.0ms (7%)

Memory

5.2MiB live, 475.2MiB allocated

Rules

10 502×	`lower-fma.f64`
10 502×	`lower-fma.f32`
6 762×	`lower-fma.f64`
6 762×	`lower-fma.f32`
4 716×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	118	378
2	331	378
3	833	378
4	2352	378
5	4041	378
6	5990	378
7	7425	378
8	7937	378
0	8002	378
0	7	15
0	10	15
1	28	15
2	184	15
3	1862	15
0	8723	15
0	570	4412
1	1770	4253
2	6026	4148
0	8153	4021

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

Compiler

Compiled 167 to 77 computations (53.9% saved)

preprocess41.0ms (0.4%)

Memory: 16.6MiB live, 106.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 244 to 98 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (11.1%)

explain82.0ms (0.8%)

preprocess57.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize17.0ms (0.2%)

series25.0ms (0.2%)

simplify162.0ms (1.6%)

rewrite412.0ms (4%)

eval39.0ms (0.4%)

prune58.0ms (0.6%)

simplify243.0ms (2.4%)

localize476.0ms (4.6%)

series51.0ms (0.5%)

simplify224.0ms (2.2%)

rewrite522.0ms (5.1%)

eval536.0ms (5.2%)

prune490.0ms (4.8%)

simplify228.0ms (2.2%)

localize110.0ms (1.1%)

series45.0ms (0.4%)

simplify332.0ms (3.2%)

rewrite846.0ms (8.2%)

eval801.0ms (7.8%)

prune816.0ms (8%)

simplify220.0ms (2.1%)

localize523.0ms (5.1%)

series58.0ms (0.6%)

simplify197.0ms (1.9%)

rewrite375.0ms (3.7%)

eval112.0ms (1.1%)

prune160.0ms (1.6%)

regimes47.0ms (0.5%)

regimes43.0ms (0.4%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness721.0ms (7%)

preprocess41.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	16	19
2	28	19
3	36	19
4	63	19
5	106	19
6	190	19
7	312	19
8	404	19
9	429	19
10	437	19
0	437	19