Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample725.0ms (8.6%)

Memory

57.5MiB live, 917.9MiB allocated

Samples

503.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 146.0ms (73.5% of total)

ival-sub: 40.0ms (20.2% of total)

ival-true: 5.0ms (2.5% of total)

exact: 4.0ms (2% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain233.0ms (2.8%)

Memory

-36.1MiB live, 83.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	5	0

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (81.8% of total)

ival-sub: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (0.7%)

Memory

-0.3MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
256×	`lower-*.f32`
252×	`lower-*.f64`
190×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	90	65
2	186	63
3	504	63
4	831	63
5	1056	63
6	1065	63
0	7	7
0	10	7
1	19	7
2	36	7
3	74	7
4	194	7
5	251	7
6	303	7
7	401	7
8	461	7
9	549	7
10	563	7
0	563	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

(sort y z)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
256×	`lower-*.f32`
252×	`lower-*.f64`
98×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (0.7%)

Memory

4.3MiB live, 40.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0	(*.f64 y z)
accuracy	1.2804106161626403	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

57.0ms

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 (64.8% of total)

ival-sub: 1.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

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

#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())

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

Calls

21 calls:

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

simplify170.0ms (2%)

Memory

-34.8MiB live, 94.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 896×	`lower-fma.f64`
4 896×	`lower-fma.f32`
2 692×	`lower-*.f64`
2 692×	`lower-*.f32`
1 144×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	416
1	136	416
2	293	416
3	486	416
4	1991	416
5	5001	416
6	6511	416
7	7249	416
8	7453	416
9	7559	416
10	7639	416
0	8020	416

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite298.0ms (3.5%)

Memory

34.6MiB live, 376.2MiB allocated

Rules

22 928×	`lower-fma.f64`
22 928×	`lower-fma.f32`
3 886×	`lower-*.f32`
3 882×	`lower-*.f64`
3 016×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Counts

3 → 618

Calls

Call 1

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

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

eval93.0ms (1.1%)

Memory: 22.0MiB live, 243.3MiB allocated
Compiler: Compiled 27 373 to 1 648 computations (94% saved)

prune254.0ms (3%)

Memory

-10.0MiB live, 326.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	692	8	700
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	693	8	701

Accuracy

100.0%

Counts

701 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.4%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
▶	95.3%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	76.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 1 binary64))) x) (fma.f64 z y #s(literal -1 binary64)))
▶	98.0%	(-.f64 x (.f64 (.f64 z y) x))
▶	69.0%	(.f64 x (/.f64 (neg.f64 (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 z y #s(literal 1 binary64))))
▶	72.1%	(.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
	49.9%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))
▶	50.0%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 218 to 132 computations (39.4% saved)

simplify168.0ms (2%)

Memory

-11.6MiB live, 100.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z y #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))))
cost-diff	0	(.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
cost-diff	0	(fma.f64 (.f64 (.f64 z z) y) y #s(literal -1 binary64))
cost-diff	0	(neg.f64 (fma.f64 (.f64 (.f64 z z) y) y #s(literal -1 binary64)))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	1728	(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) x)
cost-diff	0	(-.f64 x (.f64 (.f64 z y) x))

Rules

7 108×	`lower-fma.f32`
7 100×	`lower-fma.f64`
2 776×	`lower-*.f32`
2 758×	`lower-*.f64`
1 298×	`lower--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	201
0	50	192
1	103	192
2	236	192
3	621	192
4	1561	192
5	3062	183
6	5929	183
7	7204	183
0	8157	183

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.7%)

Memory

-7.9MiB live, 187.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	1.2686918661626403	(.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z y #s(literal -1 binary64))) (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
accuracy	6.15991825821711	(.f64 (.f64 z z) y)
accuracy	6.840277915567269	(/.f64 y (fma.f64 z y #s(literal 1 binary64)))
accuracy	10.237440368420064	(.f64 (.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))
accuracy	1.2804106161626403	(.f64 x (/.f64 (neg.f64 (fma.f64 (.f64 (*.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	2.6006919339375165	(fma.f64 (.f64 (.f64 z z) y) y #s(literal -1 binary64))
accuracy	6.15991825821711	(.f64 (.f64 z z) y)
accuracy	16.387457653063837	(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) y) y #s(literal -1 binary64))) (fma.f64 z y #s(literal 1 binary64)))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	3.0055922534684294	(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy	1.2804106161626403	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	32.169638285945275	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(-.f64 x (.f64 (.f64 z y) x))
accuracy	3.8122423689997356	(.f64 (.f64 z y) x)

Samples

80.0ms

256×

valid

Compiler

Compiled 216 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-neg: 20.0ms (39.4% of total)

ival-mult: 17.0ms (33.5% of total)

ival-div: 5.0ms (9.8% of total)

ival-add: 4.0ms (7.9% of total)

ival-sub: 3.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.6%)

Memory

1.3MiB live, 60.2MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) (* x y))) (taylor inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y))))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y))))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y))))) (taylor -inf z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* x z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* x z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (* x z))) (taylor inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z))))) (taylor -inf y) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (* x z)) (/ x y))) (taylor inf y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf y) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* y (pow z 2)) (taylor -inf y) (#s(alt (.f64 (.f64 z z) y) (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (* (pow y 3) z)) (pow y 2))) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* (pow y 4) z) (pow y 3))) (pow y 2))) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (- (* -1 (* (pow y 5) z)) (* -1 (pow y 4)))) (pow y 3))) (pow y 2))) (taylor 0 z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (- y (/ 1 z))) (taylor inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 (* y (pow z 2)))) (/ 1 z))) (taylor inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 (* y (pow z 2)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))))) (taylor inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (/ 1 z)))) (taylor -inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (/ 1 (* y z)) 1) z))))) (taylor -inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z))))) (taylor -inf z) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* y (pow z 3))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* y (- (* y (pow z 4)) (pow z 3))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (* y (pow z 5))) (* -1 (pow z 4)))) (pow z 3))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- z (/ 1 y))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ z (/ 1 (* (pow y 2) z))) (/ 1 y))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ z (/ 1 (* (pow y 2) z))) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))))) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (/ 1 (* y z)) 1) y))))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y))))) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (* y z)))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (pow z 2)) z)))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))) (taylor 0 y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 z) (/ 1 (* y (pow z 2)))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) (taylor inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 z) (/ 1 (* y (pow z 2)))) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z)) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 3)) (/ 1 (* y (pow z 4)))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) (taylor -inf y) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* (pow y 2) z))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (- (* (pow y 3) z) (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 (* y z))) z) (taylor inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) z) (taylor inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) z) (taylor inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 z) (taylor -inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* y z)) 1) z)) (taylor -inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z)) (taylor -inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) 1) z)) (taylor -inf z) (#s(alt (/.f64 y (fma.f64 z y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 z y #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

129 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(* x (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)))
3.0ms	x	@	-inf	(* x (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)))
2.0ms	x	@	0	(* x (- (/ -1 (+ (* z y) -1)) (* (* (* z z) y) (/ y (+ (* z y) 1)))))
1.0ms	x	@	0	(* x (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)))
1.0ms	z	@	0	(* (* z y) x)

simplify196.0ms (2.3%)

Memory

-2.2MiB live, 221.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 126×	`lower-fma.f64`
5 126×	`lower-fma.f32`
4 864×	`lower-*.f64`
4 864×	`lower-*.f32`
2 680×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	4302
1	1543	4205
2	4630	4178
0	8116	4034

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

Calls

Call 1

Inputs
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* -1 (* x (* y z)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x 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))
(* x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* y (- (/ 1 y) z))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 y y) z) z)
(* (pow z 2) (+ (* -1 (* (pow y 3) z)) (pow y 2)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (neg.f64 z) z) y) z (*.f64 z z)) y) y)
(* (pow z 2) (+ (* z (- (* (pow y 4) z) (pow y 3))) (pow y 2)))
(.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 y) y) y (.f64 (pow.f64 y #s(literal 4 binary64)) z)) z (.f64 y y)) (*.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (* (pow y 5) z)) (* -1 (pow y 4)))) (pow y 3))) (pow y 2)))
(.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 y) y) y (.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) (neg.f64 z) (pow.f64 y #s(literal 4 binary64))) z)) z (.f64 y y)) (*.f64 z z))
(* y z)
(*.f64 z y)
(* z (- y (/ 1 z)))
(fma.f64 z y #s(literal -1 binary64))
(* z (- (+ y (/ 1 (* y (pow z 2)))) (/ 1 z)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) y) z #s(literal -1 binary64))
(* z (- (+ y (/ 1 (* y (pow z 2)))) (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3))))))
(.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) z) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) y) y))) z)
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(fma.f64 z y #s(literal -1 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (/ 1 (* y z)) 1) z)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) y) z #s(literal -1 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z)))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) y) z)) z) y) z)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 y y) z) z)
(* (pow y 2) (+ (* -1 (* y (pow z 3))) (pow z 2)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (neg.f64 z) z) y) z (*.f64 z z)) y) y)
(* (pow y 2) (+ (* y (- (* y (pow z 4)) (pow z 3))) (pow z 2)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 z) z) z (.f64 (pow.f64 z #s(literal 4 binary64)) y)) y (*.f64 z z)) y) y)
(* (pow y 2) (+ (* y (- (* y (- (* -1 (* y (pow z 5))) (* -1 (pow z 4)))) (pow z 3))) (pow z 2)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) y (.f64 (.f64 (neg.f64 z) z) z)) y (.f64 z z)) (*.f64 y y))
(* y z)
(*.f64 z y)
(* y (- z (/ 1 y)))
(fma.f64 z y #s(literal -1 binary64))
(* y (- (+ z (/ 1 (* (pow y 2) z))) (/ 1 y)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) z)) z) y #s(literal -1 binary64))
(* y (- (+ z (/ 1 (* (pow y 2) z))) (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) y) z) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) z) y) z))) y)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(fma.f64 z y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (/ 1 (* y z)) 1) y)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) z)) z) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y)) 1) y)))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) y) z)) y) z) y)
y
(* y (+ 1 (* -1 (* y z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) y)
(* y (+ 1 (* y (- (* y (pow z 2)) z))))
(.f64 (fma.f64 (fma.f64 (.f64 z z) y (neg.f64 z)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (neg.f64 z) z) y) z (.f64 z z)) y (neg.f64 z)) y #s(literal 1 binary64)) y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(- (/ 1 z) (/ 1 (* y (pow z 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) z))
(- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 y y))))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(- (/ 1 z) (/ 1 (* y (pow z 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(+ (* -1 (/ (- (/ 1 (pow z 2)) (/ 1 (* y (pow z 3)))) y)) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) y) y))))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow z 3)) (/ 1 (* y (pow z 4)))) y)) (/ 1 (pow z 2))) y)) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) z) y)) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 (pow.f64 z #s(literal 4 binary64)) y))))) y))
y
(+ y (* -1 (* (pow y 2) z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) y)
(+ y (* z (- (* (pow y 3) z) (pow y 2))))
(fma.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 (*.f64 y y) z) y)) z y)
(+ y (* z (- (* z (- (* -1 (* (pow y 4) z)) (* -1 (pow y 3)))) (pow y 2))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) z (.f64 (.f64 y y) y)) z (*.f64 (neg.f64 y) y)) z y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (- 1 (/ 1 (* y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (/ 1 (* y z))) z)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) y) z) #s(literal 1 binary64)) z)
(/ (- (+ 1 (/ 1 (* (pow y 2) (pow z 2)))) (+ (/ 1 (* y z)) (/ 1 (* (pow y 3) (pow z 3))))) z)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) y) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 z z) z) y) (.f64 y y)))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (/ 1 (* y z)) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))) z)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z)) 1) z))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)) y) z) #s(literal 1 binary64)) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z)) 1) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 y y) z) y) z)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) z)))) z) #s(literal 1 binary64)) z)

rewrite276.0ms (3.3%)

Memory

-7.2MiB live, 420.7MiB allocated

Rules

8 878×	`lower-fma.f32`
8 870×	`lower-fma.f64`
4 864×	`lower-/.f32`
4 858×	`lower-/.f64`
4 366×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	164
0	50	155
1	203	137
2	1553	137
0	8339	137

Stop Event

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

Counts

19 → 1 027

Calls

Call 1

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

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

eval234.0ms (2.8%)

Memory: 36.8MiB live, 448.5MiB allocated
Compiler: Compiled 43 984 to 3 534 computations (92% saved)

prune346.0ms (4.1%)

Memory

-42.4MiB live, 410.8MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 553	6	1 559
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 557	10	1 567

Accuracy

100.0%

Counts

1 567 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(fma.f64 (*.f64 z x) (neg.f64 y) x)
▶	81.4%	(fma.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))) z x)
✓	95.3%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	76.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 1 binary64))) x) (fma.f64 z y #s(literal -1 binary64)))
✓	98.0%	(-.f64 x (.f64 (.f64 z y) x))
▶	22.5%	(.f64 x (/.f64 (neg.f64 #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))) (fma.f64 z y #s(literal 1 binary64))))
	71.7%	(.f64 x (-.f64 #s(approx (/ -1 (+ ( z y) -1)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 z z) y) (/.f64 y (fma.f64 z y #s(literal 1 binary64))))))
▶	49.9%	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z)))
✓	50.0%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	85.5%	#s(approx (- x (* (* z y) x)) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z))

Compiler

Compiled 243 to 141 computations (42% saved)

simplify182.0ms (2.2%)

Memory

7.4MiB live, 88.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))
cost-diff	0	(neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z)))
cost-diff	0	(/.f64 (neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (neg.f64 #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))) z x)
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff	192	(+.f64 #s(literal 0 binary64) y)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y (/.f64 x z))
cost-diff	0	#s(approx (- x (* (* z y) x)) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z))
cost-diff	704	(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z))
cost-diff	0	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 z x)
cost-diff	0	(fma.f64 (*.f64 z x) (neg.f64 y) x)

Rules

7 368×	`lower-fma.f32`
7 360×	`lower-fma.f64`
3 464×	`lower-*.f32`
3 446×	`lower-*.f64`
1 760×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	262
0	64	240
1	140	238
2	331	234
3	769	234
4	1347	232
5	3554	214
6	5095	214
7	7217	214
0	8121	210

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.6%)

Memory

24.2MiB live, 137.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.403068562928164	(.f64 (.f64 (*.f64 y y) z) z)
accuracy	8.716178331365636	(.f64 (.f64 y y) z)
accuracy	16.387457653063837	(/.f64 (neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy	30.767195222314818	#s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y y) z) z))
accuracy	0	(*.f64 y y)
accuracy	0	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y)))
accuracy	3.0055922534684294	(fma.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) y))) z x)
accuracy	28.72997667801175	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- x (* (* z y) x)) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z))
accuracy	0.5039007452111204	(fma.f64 (neg.f64 x) y (/.f64 x z))
accuracy	8.755240710761779	(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
accuracy	0	(*.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	1.2804106161626403	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z)))
accuracy	31.068653016332718	#s(approx (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z))
accuracy	0	(*.f64 z x)
accuracy	0	(neg.f64 y)
accuracy	4.238963418794905	(fma.f64 (*.f64 z x) (neg.f64 y) x)

Samples

100.0ms

256×

valid

Compiler

Compiled 221 to 38 computations (82.8% saved)

Precisions

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

ival-mult: 25.0ms (60.4% of total)

ival-add: 6.0ms (14.5% of total)

ival-div: 5.0ms (12.1% of total)

ival-neg: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.8%)

Memory

9.7MiB live, 49.8MiB allocated

Counts

22 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
37.0ms	z	@	-inf	(* (+ (* (neg x) y) (/ x z)) z)
5.0ms	z	@	0	(* (+ (* (neg x) y) (/ x z)) z)
1.0ms	x	@	0	(* (+ (* (neg x) y) (/ x z)) z)
1.0ms	x	@	inf	(* (+ (* (neg x) y) (/ x z)) z)
0.0ms	x	@	-inf	(* (+ (* (neg x) y) (/ x z)) z)

simplify264.0ms (3.1%)

Memory

-11.4MiB live, 152.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 262×	`lower-fma.f64`
5 262×	`lower-fma.f32`
3 270×	`lower-*.f64`
3 270×	`lower-*.f32`
2 176×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	3398
1	305	3212
2	747	3212
3	1710	3212
4	4241	3212
5	7072	3212
0	8155	3170

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 516

Calls

Call 1

Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
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(* x z)
(* x z)
(* x z)
(* -1 y)
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(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* y (+ (* -1 z) (/ 1 y)))
(* -1 (* y z))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* x (* z (- y (/ 1 z)))))
(* -1 (* x (* z (- y (/ 1 z)))))
(* -1 (* x (* z (- y (/ 1 z)))))
(* -1 (* x (* z (- y (/ 1 z)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* x (- 1 (* y z)))
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(* x (- 1 (* y z)))
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(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* -1 (* x (* y z)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* x (+ (* -1 y) (/ 1 z)))
(* -1 (* x (- y (/ 1 z))))
(* -1 (* x (- y (/ 1 z))))
(* -1 (* x (- y (/ 1 z))))
(* -1 (* x (- y (/ 1 z))))
(/ x z)
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x (* y z))))
(* y (+ (* -1 x) (/ x (* y z))))
(* y (+ (* -1 x) (/ x (* y z))))
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(* -1 (* y (+ x (* -1 (/ x (* y z))))))
(* -1 (* y (+ x (* -1 (/ x (* y z))))))
(* -1 (* y (+ x (* -1 (/ x (* y z))))))
(/ x z)
(/ (+ x (* -1 (* x (* y z)))) z)
(/ (+ x (* -1 (* x (* y z)))) z)
(/ (+ x (* -1 (* x (* y z)))) z)
(* -1 (* x y))
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(* -1 (* x y))
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(+ (* -1 (* x y)) (/ x z))
(* -1 x)
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(* -1 y)
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(* -1 y)
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(* -1 y)
(* -1 y)
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(* -1 y)
y
y
y
y
y
y
y
y
y
y
y
y
(* -1 (pow y 2))
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(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* x (+ 1 (* -1 (* y z))))
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(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
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(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
(/ (* x (- 1 (* (pow y 2) (pow z 2)))) (+ 1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
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(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
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(* -1 (* y z))
(* y (+ (* -1 z) (/ 1 y)))
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(* y (+ (* -1 z) (/ 1 y)))
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(* -1 (* y (- z (/ 1 y))))
(* -1 (* y (- z (/ 1 y))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ 1 (pow z 2)) (pow y 2)))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow z 2)))
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(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(* (pow y 2) (pow z 2))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow y 2) (pow z 2))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
(* (pow z 2) (- (pow y 2) (/ 1 (pow z 2))))
-1
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(- (* (pow y 2) (pow z 2)) 1)
(* (pow y 2) (pow z 2))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* (pow y 2) (- (pow z 2) (/ 1 (pow y 2))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
(* (pow y 2) z)
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(* (pow y 2) z)
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(* (pow y 2) z)
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(* (pow y 2) (pow z 2))
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(* (pow y 2) (pow z 2))
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) z)
(.f64 (.f64 y y) z)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)

rewrite447.0ms (5.3%)

Memory

-6.1MiB live, 225.9MiB allocated

Rules

6 806×	`lower-fma.f32`
6 798×	`lower-fma.f64`
4 034×	`lower-/.f32`
4 028×	`lower-/.f64`
3 818×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	233
0	64	213
1	259	171
2	2049	171
0	8368	171

Stop Event

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

Counts

22 → 958

Calls

Call 1

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

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

eval422.0ms (5%)

Memory: 3.4MiB live, 433.7MiB allocated
Compiler: Compiled 31 865 to 3 702 computations (88.4% saved)

prune419.0ms (5%)

Memory

17.7MiB live, 415.4MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 617	5	1 622
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	1 620	12	1 632

Accuracy

100.0%

Counts

1 632 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y) z x)
▶	95.3%	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) z x)
✓	93.4%	(fma.f64 (*.f64 z x) (neg.f64 y) x)
✓	95.3%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	76.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 1 binary64))) x) (fma.f64 z y #s(literal -1 binary64)))
✓	98.0%	(-.f64 x (.f64 (.f64 z y) x))
▶	29.4%	(.f64 x (/.f64 (neg.f64 #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))) (fma.f64 z y #s(literal 1 binary64))))
▶	49.9%	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
✓	49.9%	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z)))
✓	50.0%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	85.5%	#s(approx (- x (* (* z y) x)) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z))
▶	48.4%	#s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))

Compiler

Compiled 234 to 140 computations (40.2% saved)

simplify174.0ms (2.1%)

Memory

3.6MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))
cost-diff	0	(neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z)))
cost-diff	0	(/.f64 (neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (neg.f64 #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
cost-diff	320	(*.f64 #s(literal 1 binary64) z)
cost-diff	960	(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y) z x)
cost-diff	1024	(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (+ (* (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y))
cost-diff	0	(.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z)
cost-diff	0	#s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) z x)
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) y))

Rules

6 216×	`lower-fma.f32`
6 212×	`lower-fma.f64`
3 468×	`lower-*.f32`
3 448×	`lower-*.f64`
2 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	286
0	67	273
1	138	268
2	330	263
3	779	260
4	1606	242
5	3869	242
6	6069	242
0	8354	238

Stop Event

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

Calls

Call 1

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

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

localize413.0ms (4.9%)

Memory

-11.9MiB live, 254.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.2804106161626403	(.f64 x (/.f64 (neg.f64 #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy	3.403068562928164	(.f64 (.f64 (*.f64 y z) y) z)
accuracy	16.387457653063837	(/.f64 (neg.f64 #s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy	30.767195222314818	#s(approx (+ (* (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 y z) y) z))
accuracy	0	(*.f64 #s(literal 1 binary64) z)
accuracy	0.2109375	(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))
accuracy	1.2804106161626403	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
accuracy	31.068653016332718	#s(approx (/ (neg (+ (* (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(neg.f64 y)
accuracy	3.0055922534684294	(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y) z x)
accuracy	9.870544107408573	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	11.557500465543571	(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))
accuracy	8.755240710761779	(.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z)
accuracy	29.9236408999148	#s(approx (+ (* (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.1796875	(/.f64 x (/.f64 #s(literal -1 binary64) y))
accuracy	3.0055922534684294	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) z x)

Samples

249.0ms

256×

valid

Compiler

Compiled 221 to 38 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 141.0ms (87.4% of total)

ival-div: 10.0ms (6.2% of total)

ival-add: 5.0ms (3.1% of total)

ival-neg: 3.0ms (1.9% of total)

ival-sub: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

-4.7MiB live, 72.9MiB allocated

Counts

22 → 552

Calls

Call 1

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

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

Calls

138 calls:

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

simplify132.0ms (1.6%)

Memory

-20.7MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 290×	`lower-fma.f64`
5 290×	`lower-fma.f32`
3 302×	`lower-*.f64`
3 302×	`lower-*.f32`
1 946×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	3362
1	310	3332
2	758	3332
3	1730	3332
4	4279	3332
5	7123	3332
0	8031	3290

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 528

Calls

Call 1

Inputs
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* x (* y z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* -1 (* x (* y z)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* x (* z (+ (* -1 y) (/ 1 z))))
(* x (* z (+ (* -1 y) (/ 1 z))))
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Outputs
(* -1 (* x y))
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(*.f64 (neg.f64 x) y)
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(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)

rewrite177.0ms (2.1%)

Memory

4.3MiB live, 366.0MiB allocated

Rules

6 284×	`lower-fma.f32`
6 278×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 688×	`lower-*.f64`
4 326×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	252
0	67	245
1	251	198
2	1722	198
0	8135	198

Stop Event

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

Counts

22 → 464

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 y x))
(*.f64 x (neg.f64 y))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y x) (.f64 y x) (.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y x) (.f64 y x) (.f64 #s(literal 0 binary64) (*.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(neg.f64 (*.f64 (neg.f64 y) (neg.f64 x)))
(neg.f64 (*.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 y) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (fma.f64 z y #s(literal 1 binary64))) (/.f64 (-.f64 x (.f64 (.f64 z y) x)) x))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(.f64 (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (*.f64 (neg.f64 x) y) z))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)) (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (*.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (*.f64 z y) x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 z y) x)) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 z y) x)) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 z y) x)) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 z y) x)) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (.f64 (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x)) (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)))) (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x))) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 z y) x)))) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x)))) (neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 x) y) z))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x)))) (neg.f64 (*.f64 (fma.f64 z y #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x)))) (neg.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x))) (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))
(/.f64 (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (.f64 z y) x))) (*.f64 (fma.f64 z y #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x))) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x)) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))) (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))) (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)) (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (*.f64 z y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (*.f64 z y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) y) z (neg.f64 x)) (.f64 (-.f64 x (.f64 (.f64 z y) x)) (fma.f64 (*.f64 (neg.f64 x) y) z (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 z y) x) z) (.f64 y x) (.f64 x (-.f64 x (.f64 (.f64 (neg.f64 x) y) z)))) (.f64 (fma.f64 (.f64 (.f64 z y) x) (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) x) (-.f64 x (.f64 (*.f64 z y) x))))))
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eval316.0ms (3.7%)

Memory: 0.5MiB live, 313.4MiB allocated
Compiler: Compiled 15 188 to 1 380 computations (90.9% saved)

prune688.0ms (8.1%)

Memory

18.4MiB live, 346.4MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 012	3	1 015
Fresh	0	1	1
Picked	3	2	5
Done	0	6	6
Total	1 015	12	1 027

Accuracy

100.0%

Counts

1 027 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.0%	(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) y) z x)
	93.3%	(fma.f64 (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64) x)
✓	93.4%	(fma.f64 (*.f64 z x) (neg.f64 y) x)
✓	95.3%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
	76.7%	(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 z y) (*.f64 z y) #s(literal 1 binary64))) x) (fma.f64 z y #s(literal -1 binary64)))
	28.7%	(/.f64 (.f64 (neg.f64 x) #s(approx (+ ( (* (* z z) y) y) -1) (.f64 (.f64 (*.f64 z y) y) z))) (fma.f64 z y #s(literal 1 binary64)))
✓	98.0%	(-.f64 x (.f64 (.f64 z y) x))
	49.9%	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
✓	49.9%	(.f64 x #s(approx (/ (neg (+ ( (* (* z z) y) y) -1)) (+ (* z y) 1)) (*.f64 (neg.f64 y) z)))
✓	50.0%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	85.5%	#s(approx (- x (* (* z y) x)) (*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z))
✓	48.4%	#s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))

Compiler

Compiled 400 to 171 computations (57.3% saved)

regimes127.0ms (1.5%)

Memory

-4.1MiB live, 73.8MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs
(-.f64 x (.f64 (.f64 z y) x))

Calls

6 calls:

84.0ms	(*.f64 y z)
14.0ms	z
7.0ms	x
7.0ms	y
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
98.0%	1	`(*.f64 y z)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes36.0ms (0.4%)

Memory

-11.0MiB live, 28.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(*.f64 y z)
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
98.0%	1	`z`
98.0%	1	`(*.f64 y z)`
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes41.0ms (0.5%)

Memory

-13.3MiB live, 26.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.4%	3	`z`
96.2%	3	`(*.f64 y z)`
58.6%	4	`x`
77.8%	3	`y`
86.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
96.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes3.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.7%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
94.7%	3	`(*.f64 y z)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`
50.0%	1	`z`
50.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
50.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
50.0%	1	`(*.f64 y z)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000495929227	75127.24689122505
0.0ms	-707712.7061848383	0.9996946604540988

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	0.00030533954590112786	707713.7061848383
0.0ms	-75126.24689122505	-4.959292271884004e-8

Compiler

Compiled 13 to 13 computations (0% saved)

simplify10.0ms (0.1%)

Memory

-19.3MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	139
1	69	139
2	92	139
3	104	139
4	109	139
5	110	139

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 z y) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -500000 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(if (<=.f64 (.f64 y z) #s(literal -50000 binary64)) #s(approx (- x ( (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (.f64 (neg.f64 x) y)) z)) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(-.f64 x (.f64 (.f64 z y) x))
(-.f64 x (.f64 (.f64 y z) x))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -500000 binary64)) (.f64 x #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z))) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -500000 binary64)) (.f64 #s(approx (- 1 (* y z)) (.f64 (neg.f64 y) z)) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 2 binary64)) (.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( y z)) (*.f64 (neg.f64 y) z)) x)))
(if (<=.f64 (.f64 y z) #s(literal -50000 binary64)) #s(approx (- x ( (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (.f64 (neg.f64 x) y)) z)) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))))
(if (<=.f64 (.f64 y z) #s(literal -50000 binary64)) #s(approx (- x ( (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (.f64 (neg.f64 x) y)) z)) (if (<=.f64 (.f64 y z) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x) #s(approx (- x (* (* z y) x)) (.f64 #s(approx (+ ( (neg x) y) (/ x z)) (*.f64 (neg.f64 x) y)) z))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)

soundness972.0ms (11.5%)

Memory

22.0MiB live, 535.4MiB allocated

Rules

22 928×	`lower-fma.f64`
22 928×	`lower-fma.f32`
5 262×	`lower-fma.f64`
5 262×	`lower-fma.f32`
5 126×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13
0	43	416
1	136	416
2	293	416
3	486	416
4	1991	416
5	5001	416
6	6511	416
7	7249	416
8	7453	416
9	7559	416
10	7639	416
0	8020	416
0	97	3398
1	305	3212
2	747	3212
3	1710	3212
4	4241	3212
5	7072	3212
0	8155	3170
0	481	4302
1	1543	4205
2	4630	4178
0	8116	4034

Stop Event

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

Compiler

Compiled 177 to 83 computations (53.1% saved)

preprocess51.0ms (0.6%)

Memory

11.1MiB live, 126.9MiB allocated

Remove

(sort y z)

(negabs x)

Compiler

Compiled 354 to 166 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

start0.0ms (0%)

analyze0.0ms (0%)

sample725.0ms (8.6%)

explain233.0ms (2.8%)

preprocess60.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.2%)

localize63.0ms (0.7%)

series7.0ms (0.1%)

simplify170.0ms (2%)

rewrite298.0ms (3.5%)

eval93.0ms (1.1%)

prune254.0ms (3%)

simplify168.0ms (2%)

localize145.0ms (1.7%)

series53.0ms (0.6%)

simplify196.0ms (2.3%)

rewrite276.0ms (3.3%)

eval234.0ms (2.8%)

prune346.0ms (4.1%)

simplify182.0ms (2.2%)

localize135.0ms (1.6%)

series67.0ms (0.8%)

simplify264.0ms (3.1%)

rewrite447.0ms (5.3%)

eval422.0ms (5%)

prune419.0ms (5%)

simplify174.0ms (2.1%)

localize413.0ms (4.9%)

series25.0ms (0.3%)

simplify132.0ms (1.6%)

rewrite177.0ms (2.1%)

eval316.0ms (3.7%)

prune688.0ms (8.1%)

regimes127.0ms (1.5%)

regimes36.0ms (0.4%)

regimes41.0ms (0.5%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness972.0ms (11.5%)

preprocess51.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19