Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze71.0ms (1%)

Memory

-13.2MiB live, 63.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.3s (17.9%)

Memory

-115.3MiB live, 1 219.9MiB allocated

Samples

656.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-mult: 146.0ms (44% of total)

ival-sub: 110.0ms (33.2% of total)

ival-div: 58.0ms (17.5% of total)

exact: 8.0ms (2.4% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain98.0ms (1.4%)

Memory

-8.8MiB live, 186.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`z`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
-	-	`y`
-	-	`(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))`
-	-	`(*.f64 z #s(literal 1/2 binary64))`
-	-	`(-.f64 x y)`
-	-	`#s(literal 1/2 binary64)`
-	-	`(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

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

ival-sub: 8.0ms (41.1% of total)

ival-mult: 6.0ms (30.8% of total)

ival-div: 3.0ms (15.4% of total)

exact: 1.0ms (5.1% of total)

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

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

preprocess259.0ms (3.6%)

Memory

2.4MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	109
1	126	101
2	405	99
3	1525	81
4	5505	81
0	10	11
0	15	11
1	28	11
2	68	11
3	169	9
4	409	9
5	976	9
6	2577	9
7	4574	9
8	4888	9
9	4898	9
10	4907	9
11	4907	9
12	5219	9
13	5428	9
14	5444	9
15	5444	9
16	5444	9
17	5476	9
18	5583	9
0	5583	8

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify183.0ms (2.6%)

Memory

8.2MiB live, 84.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
cost-diff	128	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff	320	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 156×	`div-sub`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	15	38
1	28	38
2	68	38
3	169	36
4	409	36
5	976	36
6	2577	36
7	4574	36
8	4888	36
9	4898	36
10	4907	36
11	4907	36
12	5219	36
13	5428	36
14	5444	36
15	5444	36
16	5444	36
17	5476	36
18	5583	36
0	5583	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)

localize49.0ms (0.7%)

Memory

-15.6MiB live, 63.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.01171875	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

21.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 8.0ms (59.3% of total)

ival-mult: 3.0ms (22.2% of total)

ival-div: 2.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #<representation:binary64>) () ())
#s(alt (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) #<representation:binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())
#s(alt (.f64 z #s(literal 1/2 binary64)) (patch (.f64 z #s(literal 1/2 binary64)) #<representation:binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	y	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify162.0ms (2.3%)

Memory

-7.1MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
3 970×	`lower-*.f64`
3 970×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 139

Calls

Call 1

Inputs
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 1/2 z)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))

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

rewrite361.0ms (5.1%)

Memory

9.7MiB live, 199.3MiB allocated

Rules

4 820×	`lower-fma.f64`
4 820×	`lower-fma.f32`
4 390×	`lower-*.f32`
4 386×	`lower-*.f64`
3 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30

Stop Event

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

Counts

5 → 338

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(.f64 #s(literal -4 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z) #s(literal 4 binary64))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z)))
(.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) z) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) z))
(pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)) z)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (+.f64 (hypot.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) (.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) z)) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y)) (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) z)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) z)) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y))))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) (neg.f64 z))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64))) (.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) z))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) (neg.f64 z)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (*.f64 #s(literal -1/2 binary64) z) (-.f64 x y))) z))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (.f64 (+.f64 (hypot.f64 x (fma.f64 #s(literal 1/2 binary64) z y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z y) x)) z))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y))) z))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) #s(literal 4 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) z (hypot.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 x y)))) z))
(/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 z z) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 x y)) z))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (hypot.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 y x (hypot.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 y x) (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 y x) (fma.f64 (.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 y x (hypot.f64 y x)) (+.f64 (hypot.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (hypot.f64 y x) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))

eval265.0ms (3.7%)

Memory: -7.1MiB live, 125.2MiB allocated
Compiler: Compiled 10 074 to 1 387 computations (86.2% saved)

prune13.0ms (0.2%)

Memory

2.4MiB live, 40.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	469	8	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	8	478

Accuracy

100.0%

Counts

478 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
▶	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
▶	31.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	71.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	31.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
	66.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
▶	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 104 to 120 computations (-15.4% saved)

simplify222.0ms (3.1%)

Memory

6.1MiB live, 86.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
cost-diff	0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
cost-diff	0	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
cost-diff	0	(*.f64 #s(literal -4 binary64) y)
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) z x)
cost-diff	0	#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
cost-diff	0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
cost-diff	0	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)

Rules

3 072×	`lower-fma.f32`
3 068×	`lower-fma.f64`
2 150×	`div-sub`
1 488×	`lower-*.f32`
1 482×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	175
0	40	175
1	66	175
2	109	165
3	210	163
4	427	163
5	1069	163
6	2851	163
7	4901	163
8	5760	163
9	5980	163
10	6249	163
11	6545	163
12	6631	163
13	7099	163
14	7299	163
15	7299	163
16	7299	163
17	7331	163
18	7450	163
0	7450	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
#s(literal -1/2 binary64)
z
x
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
x
y
z

Outputs
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
(.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
#s(literal -1/2 binary64)
z
x
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
(.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) (/.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
(.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)
x
y
z

localize98.0ms (1.4%)

Memory

0.8MiB live, 121.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
accuracy	0.01171875	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
accuracy	23.429587898533732	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.09994125976844202	(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy	17.936806626849574	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	44.33271217548248	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	39.88319710042153	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) z x)
accuracy	0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
accuracy	0.01171875	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
accuracy	18.412613089762182	#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))

Samples

48.0ms

256×

valid

Compiler

Compiled 135 to 21 computations (84.4% saved)

Precisions

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

ival-mult: 7.0ms (41.9% of total)

ival-div: 4.0ms (23.9% of total)

ival-sub: 3.0ms (17.9% of total)

ival-add: 2.0ms (12% of total)

exact: 1.0ms (6% of total)

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

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

series26.0ms (0.4%)

Memory

9.1MiB live, 46.6MiB allocated

Counts

15 → 456

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #<representation:binary64>) () ())
#s(alt #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (patch #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) z x) (patch (fma.f64 #s(literal -1/2 binary64) z x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation:binary64>) () ())
#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) (patch (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) z) (patch (/.f64 #s(literal 4 binary64) z) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #<representation:binary64>) () ())
#s(alt #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (patch #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #<representation:binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y))
1.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y))
1.0ms	x	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y))

simplify228.0ms (3.2%)

Memory

-17.4MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 164×	`lower-fma.f64`
10 164×	`lower-fma.f32`
4 252×	`lower-*.f64`
4 252×	`lower-*.f32`
2 276×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	3407
1	454	3405
2	1315	3359
3	3727	3349
4	7725	3079
0	8561	2760

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 446

Calls

Call 1

Inputs
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
x
(+ x (* -1/2 z))
(+ x (* -1/2 z))
(+ x (* -1/2 z))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -1/2 z)
(* z (- (/ x z) 1/2))
(* z (- (/ x z) 1/2))
(* z (- (/ x z) 1/2))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
(* -1 (* z (+ 1/2 (* -1 (/ x z)))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -1 y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1/2 z)
(+ x (* -1/2 z))
(+ x (* -1/2 z))
(+ x (* -1/2 z))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* x (+ 1 (* -1/2 (/ z x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* x (+ 1 (* -1/2 (/ z x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
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(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
x
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* -1 (* x (- (* 1/2 (/ z x)) 1)))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))

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

rewrite403.0ms (5.6%)

Memory

22.3MiB live, 250.1MiB allocated

Rules

5 124×	`lower-fma.f32`
5 120×	`lower-fma.f64`
4 686×	`lower-*.f32`
4 680×	`lower-*.f64`
3 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
0	40	159
1	141	159
2	931	159
0	8362	149

Stop Event

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

Counts

15 → 267

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(fma.f64 #s(literal -1/2 binary64) z x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(-.f64 x y)

Outputs
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(.f64 (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z)))
(.f64 (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z) #s(literal 4 binary64))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal 4 binary64) z)))
(.f64 (.f64 #s(literal -4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(literal -4 binary64) (/.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z))
(.f64 (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64)))
(.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z))
(pow.f64 (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 z #s(literal -1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(/.f64 (.f64 #s(literal -4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) (neg.f64 z))
(/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) z)
(/.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z))))
(neg.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) (/.f64 #s(literal -4 binary64) z)))
(neg.f64 (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))) #s(literal 4 binary64))
(.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) #s(literal -4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)))
(.f64 #s(literal -4 binary64) (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(.f64 (.f64 #s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))))
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x)))
(neg.f64 (.f64 #s(literal -4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))))
#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
(.f64 (fma.f64 x x (.f64 #s(literal -1/4 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal -1/2 binary64) z))))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (*.f64 #s(literal -1/2 binary64) z) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z x))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (.f64 #s(literal -1/2 binary64) z) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (.f64 #s(literal -1/2 binary64) z) x)))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/4 binary64) (.f64 z z)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 4 binary64)) (.f64 (.f64 x x) (hypot.f64 x (.f64 #s(literal -1/2 binary64) z)))) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (*.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) x) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (*.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) x) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/4 binary64) (.f64 z z))) (-.f64 x (*.f64 #s(literal -1/2 binary64) z)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(literal -1/2 binary64) z)) (fma.f64 x x (.f64 #s(literal -1/4 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(literal -1/2 binary64) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (*.f64 #s(literal -1/2 binary64) z) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal -1/2 binary64) z) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 z z) (.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal -1/2 binary64) z) x) (.f64 (*.f64 #s(literal -1/2 binary64) z) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/2 binary64) z))
(fma.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(fma.f64 (neg.f64 z) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) z x)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 z) x)
(fma.f64 z #s(literal -1/2 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) z))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/2 binary64) z))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal -1/2 binary64) z))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) z))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1/2 binary64) z) x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) z) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(.f64 (pow.f64 (/.f64 z #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) (neg.f64 z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) z))))
(neg.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) (/.f64 #s(literal -4 binary64) z)))
(neg.f64 (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) z)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (/.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 z #s(literal 1/4 binary64)) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))) #s(literal 4 binary64))
(.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #s(literal -4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal -4 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)))
(.f64 (.f64 #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64))
(.f64 #s(literal -4 binary64) (neg.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))))
(.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))))
(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
(neg.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal -4 binary64)))
#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (hypot.f64 x y) (.f64 y x)))))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 x (neg.f64 y))))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (hypot.f64 x y) (.f64 y x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (*.f64 y x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (hypot.f64 x y) (*.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 x y) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (hypot.f64 y x))) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3/2 binary64)))) (+.f64 (hypot.f64 x y) (.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (.f64 (+.f64 (hypot.f64 x y) (.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 x y) (*.f64 y x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (hypot.f64 x y) (*.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x (neg.f64 y)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (hypot.f64 x y) (*.f64 y x)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 x y) (*.f64 y x))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (hypot.f64 x y) (*.f64 y x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 (hypot.f64 x y) (.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))))
(-.f64 x y)
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (hypot.f64 x y) (.f64 y x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval195.0ms (2.7%)

Memory: -0.6MiB live, 83.0MiB allocated
Compiler: Compiled 8 661 to 1 082 computations (87.5% saved)

prune111.0ms (1.6%)

Memory

9.4MiB live, 45.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	712	1	713
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	714	7	721

Accuracy

100.0%

Counts

721 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
▶	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	31.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	72.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶	31.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
▶	66.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 43 to 51 computations (-18.6% saved)

simplify186.0ms (2.6%)

Memory

3.8MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(literal -4 binary64) z)
cost-diff	0	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
cost-diff	128	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))

Rules

2 784×	`lower-fma.f32`
2 782×	`lower-fma.f64`
1 600×	`div-sub`
1 200×	`lower-*.f32`
1 194×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	36	131
1	59	131
2	112	131
3	231	125
4	496	125
5	1168	125
6	3015	125
7	5040	125
8	5951	125
9	5995	125
10	6004	125
11	6005	125
12	6061	125
13	6417	125
14	6569	125
15	6569	125
16	6569	125
17	6601	125
18	6715	125
0	6715	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
#s(literal -1/2 binary64)
(/.f64 y z)
y
z
#s(literal 4 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
z

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
#s(literal -1/2 binary64)
(/.f64 y z)
y
z
#s(literal 4 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 #s(literal -4 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 x z)
x
z
#s(literal 4 binary64)
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
z

localize84.0ms (1.2%)

Memory

-35.6MiB live, 50.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.01171875	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
accuracy	41.49930436643996	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
accuracy	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x z)
accuracy	17.936806626849574	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	43.958764228720874	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
accuracy	0	(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
accuracy	21.266297255728823	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 105 to 24 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 17.0ms (58.5% of total)

ival-div: 7.0ms (24.1% of total)

ival-sub: 4.0ms (13.8% of total)

ival-add: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series29.0ms (0.4%)

Memory

9.1MiB live, 45.3MiB allocated

Counts

13 → 348

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) (patch (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) (patch (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #<representation:binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -4 binary64) z) y) (patch (.f64 (/.f64 #s(literal -4 binary64) z) y) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -4 binary64) z) (patch (/.f64 #s(literal -4 binary64) z) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation:binary64>) () ())
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#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation:binary64>) () ())
#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 x #s(literal 4 binary64)) (patch (.f64 x #s(literal 4 binary64)) #<representation:binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4))
2.0ms	z	@	-inf	((* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4))
2.0ms	z	@	0	((* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4))
2.0ms	z	@	inf	((* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4))
1.0ms	y	@	inf	((* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4))

simplify154.0ms (2.2%)

Memory

18.0MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 426×	`lower-fma.f64`
6 426×	`lower-fma.f32`
3 756×	`lower-*.f64`
3 756×	`lower-*.f32`
1 216×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	2493
1	313	2493
2	868	2413
3	2094	2369
4	5257	2153
0	8223	1972

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -1 (/ y z))
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ x z))
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
(+ (* -2 z) (* 4 (- x y)))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)

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

rewrite207.0ms (2.9%)

Memory

-10.4MiB live, 303.6MiB allocated

Rules

7 558×	`lower-fma.f32`
7 556×	`lower-fma.f64`
5 562×	`lower-*.f32`
5 556×	`lower-*.f64`
3 788×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
0	36	117
1	137	117
2	958	117
0	8758	110

Stop Event

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

Counts

13 → 271

Calls

Call 1

Inputs
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
(-.f64 #s(literal -1/2 binary64) (/.f64 y z))
(/.f64 y z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 #s(literal -4 binary64) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)) (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) (.f64 (/.f64 #s(literal -4 binary64) z) y))) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -4 binary64) z) y)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)) (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal -4 binary64) z) y) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y z) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(literal -1/4 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(+.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) z) y) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 4 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (neg.f64 y) z) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) (+.f64 (/.f64 y z) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal -1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 y z))))
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(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 x) z) #s(literal -2 binary64))
(fma.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 (/.f64 x z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x z) #s(literal -4 binary64) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 x z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (neg.f64 z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z))
(.f64 (neg.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) z))
(.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))) (neg.f64 z))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (neg.f64 z))))
(neg.f64 (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) (neg.f64 z)))
(exp.f64 (.f64 (log.f64 (/.f64 z #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))))
(.f64 #s(literal 1 binary64) #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))))
(.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(neg.f64 (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) x)

eval71.0ms (1%)

Memory: 21.2MiB live, 216.2MiB allocated
Compiler: Compiled 6 854 to 955 computations (86.1% saved)

prune66.0ms (0.9%)

Memory

-22.8MiB live, 123.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	618	1	619
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	619	7	626

Accuracy

100.0%

Counts

626 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	31.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	66.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	72.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	31.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 42 to 50 computations (-19% saved)

simplify322.0ms (4.5%)

Memory

-32.9MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

Rules

2 736×	`lower-fma.f32`
2 734×	`lower-fma.f64`
1 568×	`div-sub`
1 152×	`lower-*.f64`
1 152×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
0	18	31
1	35	31
2	79	31
3	178	29
4	418	29
5	1058	29
6	2645	29
7	4677	29
8	5431	29
9	5450	29
10	5458	29
11	5458	29
12	5794	29
13	5963	29
14	5963	29
15	5963	29
16	5963	29
17	5995	29
18	6122	29
0	6122	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 y z)
y
z
#s(literal -4 binary64)
#s(literal -2 binary64)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 y z)
y
z
#s(literal -4 binary64)
#s(literal -2 binary64)

localize40.0ms (0.6%)

Memory

28.4MiB live, 106.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 y z)
accuracy	21.266297255728823	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 27 to 17 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (37.7% of total)

ival-div: 3.0ms (22.6% of total)

ival-sub: 2.0ms (15.1% of total)

ival-add: 1.0ms (7.5% of total)

exact: 1.0ms (7.5% of total)

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

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

series7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 84

Calls

Call 1

Inputs

#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation:binary64>) () ())

#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation:binary64>) () ())

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))
1.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z))

simplify370.0ms (5.2%)

Memory

0.3MiB live, 278.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 356×	`lower-fma.f64`
14 356×	`lower-fma.f32`
4 056×	`lower-*.f64`
4 056×	`lower-*.f32`
2 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	566
1	178	566
2	465	564
3	1171	564
4	2893	510
0	8456	463

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))

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

rewrite198.0ms (2.8%)

Memory

-11.1MiB live, 226.4MiB allocated

Rules

5 974×	`lower-fma.f32`
5 972×	`lower-fma.f64`
5 512×	`lower-*.f64`
5 512×	`lower-*.f32`
3 880×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
0	18	27
1	84	27
2	659	27
0	8468	26

Stop Event

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

Counts

3 → 81

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 y z)

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (.f64 #s(literal 8 binary64) (/.f64 y z)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 9 binary64)) #s(literal -512 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 512 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (*.f64 #s(literal 8 binary64) (/.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 9 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 512 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z))) (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64))) (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal -8 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 8 binary64) (/.f64 y z)))))))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 (*.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -4 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) z) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 #s(literal -4 binary64) (/.f64 y z)))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval44.0ms (0.6%)

Memory: -11.2MiB live, 38.1MiB allocated
Compiler: Compiled 2 205 to 344 computations (84.4% saved)

prune9.0ms (0.1%)

Memory

-15.8MiB live, 22.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	165	7	172

Accuracy

100.0%

Counts

172 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	36.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	31.3%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	66.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	72.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	31.2%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 119 to 92 computations (22.7% saved)

regimes21.0ms (0.3%)

Memory

35.7MiB live, 35.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Calls

5 calls:

4.0ms	z
4.0ms	(-.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes31.0ms (0.4%)

Memory

-9.5MiB live, 27.5MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)

Outputs

(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

(/.f64 (*.f64 #s(literal 4 binary64) #s(approx (- (- x y) (* z 1/2)) (-.f64 x y))) z)

Calls

5 calls:

4.0ms	z
4.0ms	(-.f64 x y)
4.0ms	x
4.0ms	y
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
89.6%	3	`x`
88.8%	3	`y`
85.7%	3	`z`
99.2%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
85.1%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes26.0ms (0.4%)

Memory

-18.1MiB live, 17.2MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))

Outputs

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

Calls

3 calls:

19.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
88.8%	3	`y`
87.6%	3	`x`
77.5%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes12.0ms (0.2%)

Memory

26.4MiB live, 26.4MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Calls

4 calls:

3.0ms	z
3.0ms	y
3.0ms	(-.f64 x y)
3.0ms	x

Results

Accuracy	Segments	Branch
72.0%	1	`(-.f64 x y)`
72.0%	1	`z`
72.0%	1	`x`
84.4%	3	`y`

Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

-25.6MiB live, 18.0MiB allocated

Counts

4 → 5

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)

Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)

Calls

5 calls:

6.0ms	y
2.0ms	z
2.0ms	(-.f64 x y)
2.0ms	x
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
64.5%	4	`x`
61.0%	4	`z`
56.3%	3	`(-.f64 x y)`
76.5%	5	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
61.7%	6	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Outputs

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)

Calls

1 calls:

2.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
65.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

Outputs

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))

Calls

1 calls:

1.0ms

(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
65.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes10.0ms (0.1%)

Memory

-18.9MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Calls

5 calls:

4.0ms	(-.f64 x y)
1.0ms	z
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
37.7%	1	`(-.f64 x y)`
37.7%	1	`y`
37.7%	1	`z`
37.7%	1	`x`
37.7%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.91189597859913	7631323570.856082
0.0ms	-112147378165596.17	-468039106.94357115

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch31.0ms (0.4%)

Memory

19.3MiB live, 54.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.5165136809819557e+95	9.094668718833936e+105
10.0ms	-3.871901285850477e+135	-1.7812497157804777e+134

Samples

17.0ms

272×

valid

Compiler

Compiled 252 to 322 computations (-27.8% saved)

Precisions

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

ival-sub: 3.0ms (35.6% of total)

ival-mult: 3.0ms (35.6% of total)

ival-div: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Memory

-13.2MiB live, 72.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	6.484267017565259e+170	9.325487500173254e+184
16.0ms	-2.0668293217336762e+215	-5.567273394610695e+206

Samples

19.0ms

304×

valid

Compiler

Compiled 261 to 339 computations (-29.9% saved)

Precisions

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

ival-mult: 4.0ms (42.1% of total)

ival-sub: 3.0ms (31.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.484267017565259e+170	9.325487500173254e+184
1.0ms	-2.0668293217336762e+215	-5.567273394610695e+206

Compiler

Compiled 261 to 339 computations (-29.9% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.996432505528559e+162	2.9094229765199167e+169
0.0ms	-1.9986147523966244	1.91189597859913
0.0ms	-112147378165596.17	-468039106.94357115
0.0ms	-4.626272694295771e+266	-2.4335514412861615e+264

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9986147523966244	1.91189597859913
0.0ms	-112147378165596.17	-468039106.94357115

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.9986147523966244	1.91189597859913
0.0ms	-112147378165596.17	-468039106.94357115

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify34.0ms (0.5%)

Memory

-1.5MiB live, 73.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	549
1	86	549
2	100	549
3	108	549
4	113	549
5	114	549

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 y #s(literal -199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 340000000000000021695806325609494990332958831004933837205402168312713558749946618194837855272960 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -640000000000000010634262702627208537783057127675882495048196159697474500392086720848476882363300456047911810629638140756403074495537877548683515295917877473728814727948829100397741959793170086794680489476096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 719999999999999992602980070842732983629879150447377075838516293838724598794398957455790641689650012368681373812493218532483928745138417772422858559730394443896904218574848 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -640000000000000010634262702627208537783057127675882495048196159697474500392086720848476882363300456047911810629638140756403074495537877548683515295917877473728814727948829100397741959793170086794680489476096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 719999999999999992602980070842732983629879150447377075838516293838724598794398957455790641689650012368681373812493218532483928745138417772422858559730394443896904218574848 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z)
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -100000000000000 binary64)) (/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #s(literal 4 binary64)) z)))
(if (<=.f64 y #s(literal -199999999999999984296407299341398630015099654745944923008750222099696603215320648945714523230290178856098728915675690981064839861895168 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 340000000000000021695806325609494990332958831004933837205402168312713558749946618194837855272960 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -640000000000000010634262702627208537783057127675882495048196159697474500392086720848476882363300456047911810629638140756403074495537877548683515295917877473728814727948829100397741959793170086794680489476096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 719999999999999992602980070842732983629879150447377075838516293838724598794398957455790641689650012368681373812493218532483928745138417772422858559730394443896904218574848 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -640000000000000010634262702627208537783057127675882495048196159697474500392086720848476882363300456047911810629638140756403074495537877548683515295917877473728814727948829100397741959793170086794680489476096 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 719999999999999992602980070842732983629879150447377075838516293838724598794398957455790641689650012368681373812493218532483928745138417772422858559730394443896904218574848 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal 9999999999999999378499396381163974664505251594389679853757253159226858588823650024928554969640430609348999796218942130031825270939086493357629899207015514012385280 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -100000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -100000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness989.0ms (13.9%)

Memory

9.6MiB live, 564.3MiB allocated

Rules

9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
7 558×	`lower-fma.f32`
7 556×	`lower-fma.f64`
5 562×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	117
0	36	117
1	137	117
2	958	117
0	8758	110
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800
0	28	159
0	40	159
1	141	159
2	931	159
0	8362	149

Stop Event

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

Compiler

Compiled 407 to 188 computations (53.8% saved)

preprocess100.0ms (1.4%)

Memory: 15.8MiB live, 128.2MiB allocated
Compiler: Compiled 674 to 178 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (1%)

sample1.3s (17.9%)

explain98.0ms (1.4%)

preprocess259.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (2.6%)

localize49.0ms (0.7%)

series14.0ms (0.2%)

simplify162.0ms (2.3%)

rewrite361.0ms (5.1%)

eval265.0ms (3.7%)

prune13.0ms (0.2%)

simplify222.0ms (3.1%)

localize98.0ms (1.4%)

series26.0ms (0.4%)

simplify228.0ms (3.2%)

rewrite403.0ms (5.6%)

eval195.0ms (2.7%)

prune111.0ms (1.6%)

simplify186.0ms (2.6%)

localize84.0ms (1.2%)

series29.0ms (0.4%)

simplify154.0ms (2.2%)

rewrite207.0ms (2.9%)

eval71.0ms (1%)

prune66.0ms (0.9%)

simplify322.0ms (4.5%)

localize40.0ms (0.6%)

series7.0ms (0.1%)

simplify370.0ms (5.2%)

rewrite198.0ms (2.8%)

eval44.0ms (0.6%)

prune9.0ms (0.1%)

regimes21.0ms (0.3%)

regimes31.0ms (0.4%)

regimes26.0ms (0.4%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch31.0ms (0.4%)

bsearch38.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify34.0ms (0.5%)

soundness989.0ms (13.9%)

preprocess100.0ms (1.4%)

end0.0ms (0%)

Profiling