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

analyze53.0ms (0.6%)

Memory

-25.3MiB live, 91.4MiB 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)

sample1.1s (13%)

Memory

-97.2MiB live, 1 217.9MiB allocated

Samples

666.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-mult: 142.0ms (38% of total)

ival-sub: 136.0ms (36.4% of total)

ival-div: 79.0ms (21.1% of total)

exact: 8.0ms (2.1% of total)

ival-true: 6.0ms (1.6% of total)

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

Bogosity

explain123.0ms (1.5%)

Memory

11.8MiB live, 176.3MiB 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

32.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 91 to 34 computations (62.6% saved)

Precisions

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

ival-mult: 7.0ms (43.8% of total)

ival-sub: 5.0ms (31.3% of total)

ival-div: 3.0ms (18.8% of total)

exact: 1.0ms (6.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess248.0ms (3%)

Memory

-5.6MiB live, 112.4MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify185.0ms (2.3%)

Memory

1.9MiB live, 38.8MiB 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)

localize90.0ms (1.1%)

Memory

-21.1MiB live, 23.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	0.00390625	(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
accuracy	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

84.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-mult: 3.0ms (38.5% of total)

ival-sub: 3.0ms (38.5% of total)

ival-div: 2.0ms (25.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB 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 (* 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 (+ 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	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	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	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify218.0ms (2.7%)

Memory

-10.1MiB live, 98.4MiB 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)

rewrite209.0ms (2.6%)

Memory

-1.8MiB live, 249.2MiB 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
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eval62.0ms (0.8%)

Memory: 1.4MiB live, 158.3MiB allocated
Compiler: Compiled 10 342 to 1 382 computations (86.6% saved)

prune55.0ms (0.7%)

Memory

27.1MiB live, 66.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	462	15	477
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	15	478

Accuracy

100.0%

Counts

478 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
	60.6%	(/.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))
	99.9%	(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z))) z)
▶	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
	70.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
	35.9%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
▶	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
	99.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	63.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	35.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
▶	66.4%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
▶	29.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 280 to 268 computations (4.3% saved)

simplify235.0ms (2.9%)

Memory

-22.0MiB live, 137.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 928×	`lower-fma.f32`
2 924×	`lower-fma.f64`
1 344×	`lower-*.f32`
1 336×	`lower-*.f64`
1 200×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	43	165
1	68	165
2	122	158
3	260	155
4	528	155
5	1229	155
6	3197	155
7	4941	155
8	5729	155
9	5885	155
10	5939	155
11	5951	155
12	6126	155
13	6538	155
14	6714	155
15	6714	155
16	6714	155
17	6746	155
18	6869	155
0	6869	150

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (0.9%)

Memory

-20.1MiB live, 150.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
accuracy	24.230354537456357	#s(approx (- (- x y) (* z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))
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	21.507802905498487	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
accuracy	0	(*.f64 #s(literal -4 binary64) y)
accuracy	0.02734375	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy	40.20821146346241	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	45.05086426387463	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 #s(literal -2 binary64) z)
accuracy	0.00390625	(fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z))
accuracy	0.02734375	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)

Samples

58.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 30.0ms (68.4% of total)

ival-div: 5.0ms (11.4% of total)

ival-sub: 4.0ms (9.1% of total)

ival-add: 3.0ms (6.8% of total)

exact: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

series35.0ms (0.4%)

Memory

5.9MiB live, 85.5MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (- x y) (* -2 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- -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 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
2.0ms	y	@	inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (- x y) (* -2 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- -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 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
2.0ms	z	@	-inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (- x y) (* -2 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- -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 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
2.0ms	z	@	inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (- x y) (* -2 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- -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 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))
2.0ms	z	@	0	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (- x y) (* -2 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (* (- -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 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (+ (* -1/2 z) x))

simplify160.0ms (2%)

Memory

11.5MiB live, 166.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 204×	`lower-fma.f64`
8 204×	`lower-fma.f32`
4 396×	`lower-*.f64`
4 396×	`lower-*.f32`
1 208×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	3183
1	630	3182
2	1866	3084
3	5476	3084
0	8344	2785

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 460

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

rewrite178.0ms (2.2%)

Memory

4.8MiB live, 194.0MiB allocated

Rules

6 514×	`lower-fma.f32`
6 510×	`lower-fma.f64`
4 346×	`lower-*.f32`
4 338×	`lower-*.f64`
3 770×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	43	148
1	155	148
2	1160	148
0	8351	141

Stop Event

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

Counts

16 → 347

Calls

Call 1

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

Outputs
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eval114.0ms (1.4%)

Memory: 31.7MiB live, 263.2MiB allocated
Compiler: Compiled 11 498 to 1 308 computations (88.6% saved)

prune30.0ms (0.4%)

Memory

-34.9MiB live, 89.5MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	802	5	807
Fresh	4	6	10
Picked	1	4	5
Done	0	0	0
Total	807	15	822

Accuracy

100.0%

Counts

822 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
	60.6%	(/.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))
✓	63.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (fma.f64 #s(literal -1/2 binary64) z x))) z)
	70.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
	94.4%	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y (*.f64 #s(literal -2 binary64) z))) z)
▶	35.9%	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64))) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	99.8%	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
▶	66.4%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	99.8%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	63.6%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
	35.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
▶	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	29.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 239 to 232 computations (2.9% saved)

simplify217.0ms (2.7%)

Memory

21.0MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
cost-diff	0	(/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
cost-diff	704	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
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 (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
cost-diff	0	(*.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64))) z)
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 x y)
cost-diff	0	(/.f64 #s(literal 4 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
cost-diff	0	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))

Rules

2 832×	`lower-fma.f32`
2 826×	`lower-fma.f64`
1 424×	`div-sub`
1 248×	`lower-*.f32`
1 244×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	164
0	49	162
1	82	161
2	138	157
3	333	151
4	691	151
5	1607	151
6	3387	151
7	5024	151
8	5354	151
9	5496	151
10	5715	151
11	5924	151
12	5967	151
13	6181	151
14	6278	151
15	6278	151
16	6278	151
17	6310	151
18	6421	151
0	6421	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (0.9%)

Memory

-15.4MiB live, 98.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
accuracy	0.03515625	(/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.13671875	(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
accuracy	0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 y z)
accuracy	21.507802905498487	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
accuracy	0	(*.f64 x #s(literal 4 binary64))
accuracy	0.02734375	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64))) z)
accuracy	42.137725253042184	#s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64)))
accuracy	0	(/.f64 #s(literal -4 binary64) z)
accuracy	0.1875	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
accuracy	39.636531730207174	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
accuracy	0.140625	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))

Samples

49.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 141 to 32 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.4% of total)

ival-div: 11.0ms (32.6% of total)

ival-add: 4.0ms (11.8% of total)

ival-sub: 3.0ms (8.9% of total)

exact: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

series42.0ms (0.5%)

Memory

23.9MiB live, 66.0MiB allocated

Counts

16 → 456

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* x 4) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
3.0ms	y	@	inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* x 4) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	y	@	-inf	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* x 4) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	y	@	0	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* x 4) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	z	@	0	((/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ -4 z) y) (/ -4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (- x y) 4) (* -2 z)) (* x 4) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ y z) -4) -2) (/ y z) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))

simplify279.0ms (3.4%)

Memory

15.2MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 674×	`lower-fma.f64`
11 674×	`lower-fma.f32`
5 788×	`lower-*.f64`
5 788×	`lower-*.f32`
3 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	4499
1	1111	4313
2	3296	4163
0	8272	3839

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 451

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

rewrite431.0ms (5.3%)

Memory

-21.2MiB live, 174.0MiB allocated

Rules

6 706×	`lower-fma.f32`
6 700×	`lower-fma.f64`
4 516×	`lower-/.f32`
4 504×	`lower-/.f64`
3 948×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	141
0	49	141
1	195	140
2	1488	140
0	8376	136

Stop Event

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

Counts

16 → 549

Calls

Call 1

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

Outputs
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eval342.0ms (4.2%)

Memory: 16.0MiB live, 204.5MiB allocated
Compiler: Compiled 18 111 to 2 184 computations (87.9% saved)

prune39.0ms (0.5%)

Memory

9.1MiB live, 94.3MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 055	4	1 059
Fresh	3	3	6
Picked	1	4	5
Done	1	3	4
Total	1 060	14	1 074

Accuracy

100.0%

Counts

1 074 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
▶	70.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	35.9%	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64))) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	70.4%	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))
▶	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
✓	66.4%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
	94.2%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal -2 binary64)))
	98.3%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
▶	63.6%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
▶	35.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
✓	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	29.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 182 to 186 computations (-2.2% saved)

simplify420.0ms (5.1%)

Memory

-15.0MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))
cost-diff	0	(/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))
cost-diff	384	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))
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 x z)
cost-diff	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (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) x)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)
cost-diff	704	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))

Rules

2 976×	`lower-fma.f32`
2 972×	`lower-fma.f64`
1 392×	`lower-*.f32`
1 386×	`lower-*.f64`
1 204×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	219
0	56	221
1	98	211
2	164	210
3	390	207
4	806	207
5	1868	207
6	3446	207
7	4193	207
8	4483	207
9	4639	207
10	4829	207
11	5046	207
12	5108	207
13	5284	207
14	5369	207
15	5369	207
16	5369	207
17	5369	207
18	5401	207
19	5512	207
0	5512	202

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize122.0ms (1.5%)

Memory

-22.0MiB live, 162.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.03515625	(/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))
accuracy	0.13671875	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))
accuracy	18.913966056659216	#s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))
accuracy	0	(-.f64 x y)
accuracy	0	(.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
accuracy	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
accuracy	18.913966056659216	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
accuracy	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
accuracy	23.276099801509336	#s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 4 binary64) z) x)
accuracy	41.05493824061679	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
accuracy	0.0390625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.13671875	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
accuracy	0.18359375	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)

Samples

99.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 175 to 33 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 54.0ms (66.1% of total)

ival-mult: 20.0ms (24.5% of total)

ival-add: 4.0ms (4.9% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series97.0ms (1.2%)

Memory

13.4MiB live, 97.8MiB allocated

Counts

18 → 576

Calls

Call 1

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

Outputs
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ z (- x y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y)))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (patch (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (patch (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (patch (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (patch (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 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) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<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) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<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) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<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) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<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 #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x 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 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x 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>) () ())) ())
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#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) x)) (patch #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 4 binary64) z) x) (patch (.f64 (/.f64 #s(literal 4 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) (patch #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (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 #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (+ (* (/ 4 z) (- x y)) -2) (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 (.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>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) (patch (/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x)) (taylor -inf x) (#s(alt (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) (patch #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) (patch #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) (patch #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) (patch #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	y	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
6.0ms	y	@	-inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	x	@	0	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	x	@	inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))
2.0ms	x	@	-inf	((/ 4 (* (/ 1 (+ (* -1/2 z) (- x y))) z)) (* (/ 1 (+ (* -1/2 z) (- x y))) z) (/ 1 (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)) (/ (* 4 (- (- x y) (* z 1/2))) z) (* (/ 4 z) x) (/ 4 z) (/ (+ (* (- x y) 4) (* -2 z)) z) (+ (* (/ 4 z) (- x y)) -2) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 4 (/ z (+ (* -1/2 z) (- x y)))) (/ z (+ (* -1/2 z) (- x y))) (+ (* -1/2 z) (- x y)))

simplify240.0ms (2.9%)

Memory

7.6MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 686×	`lower-fma.f64`
7 686×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
3 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	6441
1	1622	6252
2	4697	6064
0	8669	5597

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 567

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)
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(/ 1 (- x y))
(+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y)))
(+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))
(+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) 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))
(* 4 (/ x z))
(* 4 (/ x 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) 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)))
(- x y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ z (- x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- 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
(- (* -4 (/ (- x y) z)) 2)
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(* 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 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(/ z x)
(/ (+ z (* -1 (/ (* z (- (* -1/2 z) y)) x))) x)
(/ (- (+ z (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x)) x)
(/ (- (+ z (* -1 (/ (* z (pow (- (* -1/2 z) y) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x))) x)
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(* x (- (+ 1 (* -1/2 (/ z x))) (/ 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)))))
(/ z x)
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- y (* -1/2 z)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) x))) (* -1/2 z)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (- y (* -1/2 z)) (pow (- (* -1/2 z) y) 2)) x)) (* -1 (* (- y (* -1/2 z)) (- (* -1/2 z) y)))) x))) (* -1/2 z)) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) 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))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) 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)))
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)))
(* 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)))))
(/ z x)
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) 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 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ z (- x y))
(/.f64 z (-.f64 x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 4 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
(/ 1 (- x y))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 4 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(- 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) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 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)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #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)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 x #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 x #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 x)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 x #s(literal 4 binary64))) z)
(/ 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)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(- 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) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64))) z)
(/ z (- x y))
(/.f64 z (-.f64 x y))
(* z (+ (* 1/2 (/ z (pow (- x y) 2))) (/ 1 (- x y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
(* z (+ (* z (+ (* 1/4 (/ z (pow (- x y) 3))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) z)
(* z (+ (* z (+ (* z (+ (* 1/8 (/ z (pow (- x y) 4))) (* 1/4 (/ 1 (pow (- x y) 3))))) (* 1/2 (/ 1 (pow (- x y) 2))))) (/ 1 (- x y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 x y) #s(literal 4 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) z (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x y))) 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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ (- x y) z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) z) #s(literal -8 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))) z) #s(literal 2 binary64))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal -16 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) z) #s(literal -8 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))) z) #s(literal 2 binary64)))
(/ -2 z)
(/.f64 #s(literal -2 binary64) z)
(/ (- (* -4 (/ (- x y) z)) 2) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)) z)
(/ (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) z)
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) z) #s(literal -8 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))) z) #s(literal 2 binary64)) z)
(/ (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) z)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal -16 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) z) #s(literal -8 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))) z) #s(literal 2 binary64))) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(*.f64 (-.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #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 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* z (- (* 4 (/ (- x y) z)) 2))
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(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* x (+ (* -4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(/ z x)
(/.f64 z x)
(/ (+ z (* -1 (/ (* z (- (* -1/2 z) y)) x))) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z z) x)
(/ (- (+ z (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x)) x)
(/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) x) y)) x) z) x)
(/ (- (+ z (* -1 (/ (* z (pow (- (* -1/2 z) y) 3)) (pow x 3)))) (+ (* -1 (/ (* z (pow (- (* -1/2 z) y) 2)) (pow x 2))) (/ (* z (- (* -1/2 z) y)) x))) x)
(/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z (+.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) x) y)) x) (fma.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) x) #s(literal 3 binary64)) (neg.f64 z) z)) x)
x
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* x (- (+ 1 (* -1/2 (/ z x))) (/ y x)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(/ z x)
(/.f64 z x)
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z z) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) x) y)) x) z) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) z (/.f64 (.f64 z (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) x) #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)))) x)) x) z) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- y (* -1/2 z)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) x))) (* -1/2 z)) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) x) y)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (- y (* -1/2 z)) (pow (- (* -1/2 z) y) 2)) x)) (* -1 (* (- y (* -1/2 z)) (- (* -1/2 z) y)))) x))) (* -1/2 z)) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) x) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64))) x))) x)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal -2 binary64) x)) x)
(/ 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)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64) #s(literal -4 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64) #s(literal -4 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal 4 binary64) #s(literal -4 binary64)))
x
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal -1/2 binary64)) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) z)) x)
(/ z x)
(/.f64 z x)
(* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) z z) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 2)) x) (* z (- (* -1/2 z) y))) x))) x))
(/.f64 (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)) x) y)) x) z) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- (* -1/2 z) y) 3)) x) (* z (pow (- (* -1/2 z) y) 2))) x)) (* z (- (* -1/2 z) y))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z y) z (/.f64 (.f64 z (fma.f64 (/.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) y) #s(literal 3 binary64)) x) #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) #s(literal 2 binary64)))) x)) x) z) x)
x
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)
(* -1 (* x (- (* -1 (/ (- (* -1/2 z) y) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) y) x) x x)

rewrite240.0ms (2.9%)

Memory

-0.7MiB live, 319.3MiB allocated

Rules

5 074×	`lower-fma.f32`
5 070×	`lower-fma.f64`
4 636×	`lower-/.f32`
4 622×	`lower-/.f64`
3 860×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	192
0	56	194
1	221	184
2	1592	184
0	8486	181

Stop Event

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

Counts

18 → 532

Calls

Call 1

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

Outputs
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eval369.0ms (4.5%)

Memory: -17.0MiB live, 335.2MiB allocated
Compiler: Compiled 20 199 to 2 789 computations (86.2% saved)

prune59.0ms (0.7%)

Memory

29.0MiB live, 105.1MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	1 221	2	1 223
Fresh	2	0	2
Picked	1	4	5
Done	0	7	7
Total	1 224	13	1 237

Accuracy

100.0%

Counts

1 237 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
✓	70.6%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	35.9%	(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.f64 x #s(literal 4 binary64))) z)
✓	38.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	70.4%	(/.f64 #s(literal 4 binary64) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))
	70.4%	(/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
	96.9%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
✓	66.4%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	99.8%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
✓	63.6%	#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
✓	35.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
✓	38.0%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal -4 binary64) z) y))
✓	29.6%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 356 to 203 computations (43% saved)

regimes91.0ms (1.1%)

Memory

-13.2MiB live, 83.2MiB allocated

Counts

27 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) 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)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(/.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) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))
(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
(/.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 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
(/.f64 #s(literal 4 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #s(literal -2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y (*.f64 #s(literal -2 binary64) z))) z)
(/.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) z))) 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))

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

Calls

5 calls:

35.0ms	(-.f64 x y)
31.0ms	z
8.0ms	y
8.0ms	x
7.0ms	(/.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)

regimes34.0ms (0.4%)

Memory

-12.1MiB live, 60.4MiB allocated

Counts

16 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) 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)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
(/.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) (/.f64 z #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))))

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

Calls

5 calls:

10.0ms	(-.f64 x y)
8.0ms	y
6.0ms	x
5.0ms	z
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
99.8%	1	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes27.0ms (0.3%)

Memory

2.2MiB live, 39.0MiB allocated

Counts

12 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) 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)

Outputs

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

#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y 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:

8.0ms	y
5.0ms	x
4.0ms	z
4.0ms	(-.f64 x 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
86.5%	3	`x`
86.8%	3	`y`
86.6%	3	`z`
98.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
85.6%	4	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes42.0ms (0.5%)

Memory

3.2MiB live, 51.9MiB allocated

Counts

11 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) 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 (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))

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

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

Calls

4 calls:

29.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
84.5%	3	`x`
66.4%	1	`z`
86.4%	3	`y`
69.6%	2	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes14.0ms (0.2%)

Memory

-14.4MiB live, 22.9MiB allocated

Counts

9 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))))
#s(approx (/ (+ (* (- x y) 4) (* -2 z)) 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 (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (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

3 calls:

6.0ms	(-.f64 x y)
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
68.3%	3	`(-.f64 x y)`
68.6%	3	`x`
81.0%	3	`y`

Compiler

Compiled 5 to 10 computations (-100% saved)

regimes4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 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))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
(/.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)
(/.f64 #s(approx (+ (* (- x y) 4) (* -2 z)) (*.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:

3.0ms

Results

Accuracy	Segments	Branch
80.9%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

6 → 4

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

Outputs
(/.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) #s(literal -2 binary64))
(/.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)

Calls

5 calls:

3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(-.f64 x y)
2.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
53.8%	4	`(-.f64 x y)`
59.3%	5	`x`
52.7%	3	`z`
68.2%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
59.2%	4	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

4 → 4

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

Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))
#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) x))
(/.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
68.2%	4	`(/.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

3.0MiB live, 3.0MiB allocated

Counts

3 → 4

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))

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

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

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
68.1%	4	`(/.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)

regimes133.0ms (1.6%)

Memory

-32.8MiB live, 3.8MiB 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:

132.0ms

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

Results

Accuracy	Segments	Branch
64.2%	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)

regimes7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB 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:

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

Results

Accuracy	Segments	Branch
29.6%	1	`(-.f64 x y)`
29.6%	1	`z`
29.6%	1	`x`
29.6%	1	`y`
29.6%	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

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	29.071671859003548	35.93049461456115
0.0ms	-4282406048136389.5	-725416594102550.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch21.0ms (0.3%)

Memory

-5.0MiB live, 30.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.863484226292856e+130	9.76942130989447e+130
13.0ms	-6.053464688722079e-63	-9.2743983240565e-71

Samples

13.0ms

160×

valid

Compiler

Compiled 164 to 206 computations (-25.6% saved)

Precisions

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

ival-sub: 2.0ms (39.6% of total)

ival-mult: 2.0ms (39.6% of total)

ival-div: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Memory

-1.9MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.474630070879523e+167	2.3088342900249062e+178
15.0ms	-4.015502988651823e+111	-8.777628621827838e+101

Samples

18.0ms

320×

valid

Compiler

Compiled 294 to 376 computations (-27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40.4% of total)

ival-sub: 3.0ms (30.3% of total)

ival-div: 2.0ms (20.2% 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

5.1MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.474630070879523e+167	2.3088342900249062e+178
1.0ms	-4.015502988651823e+111	-8.777628621827838e+101

Compiler

Compiled 274 to 356 computations (-29.9% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2542658063728555e+53	2.6066882089375107e+57
0.0ms	-1.7388126435303364	29.071671859003548
0.0ms	-4282406048136389.5	-725416594102550.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2542658063728555e+53	2.6066882089375107e+57
0.0ms	-1.7388126435303364	29.071671859003548
0.0ms	-4282406048136389.5	-725416594102550.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.2542658063728555e+53	2.6066882089375107e+57
0.0ms	-1.7388126435303364	29.071671859003548
0.0ms	-4282406048136389.5	-725416594102550.0

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.7388126435303364	29.071671859003548
0.0ms	-487.367952066414	-2.0000171761037753

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify33.0ms (0.4%)

Memory

-16.6MiB live, 58.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-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	91	698
1	106	698
2	120	698
3	128	698
4	133	698
5	134	698

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 -4000000000000000 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 30 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y 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 -2037940770576765/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 90000000000000007843102429419300317433183618530018679196110939888988490598528516192152653788175075844402778860506139422707209469952 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 binary64)) #s(approx (/ (+ ( (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (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 -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 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 -4000000000000000 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 -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 199999999999999998644189734872325595292341688388812800 binary64)) (/.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))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.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 -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #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 -400 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 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z)) z)
(/.f64 (fma.f64 (-.f64 x y) #s(literal 4 binary64) (*.f64 z #s(literal -2 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 -4000000000000000 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 30 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y 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 -4000000000000000 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 30 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y 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 -2037940770576765/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 90000000000000007843102429419300317433183618530018679196110939888988490598528516192152653788175075844402778860506139422707209469952 binary64)) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))) #s(approx (/ (+ (* (- x y) 4) (* -2 z)) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 binary64)) #s(approx (/ (+ ( (- x y) 4) (* -2 z)) z) #s(approx (+ (* (/ 4 z) (- x y)) -2) (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 -20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 214999999999999993321898350062450399420358358023309723208657230879376914009918096333016139924477053092800921957818360192883887104789038355791642660381747247630220341018624 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 -4000000000000000 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 -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 199999999999999998644189734872325595292341688388812800 binary64)) (/.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))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -4000000000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) 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 199999999999999998644189734872325595292341688388812800 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal 4 binary64) x)) z) (/.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 -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.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 -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (/.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 -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #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 -4000000000000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) (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 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (.f64 (/.f64 #s(literal 4 binary64) z) x)) #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 -400 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 -400 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))

soundness1.2s (15.3%)

Memory

22.9MiB live, 808.9MiB allocated

Rules

11 674×	`lower-fma.f64`
11 674×	`lower-fma.f32`
9 634×	`lower-fma.f64`
9 634×	`lower-fma.f32`
8 204×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	3183
1	630	3182
2	1866	3084
3	5476	3084
0	8344	2785
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800
0	370	4499
1	1111	4313
2	3296	4163
0	8272	3839
0	10	33
0	15	33
1	60	33
2	470	33
3	6831	33
0	8009	30

Stop Event

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

Compiler

Compiled 577 to 273 computations (52.7% saved)

preprocess341.0ms (4.2%)

Memory: 11.9MiB live, 222.4MiB allocated
Compiler: Compiled 818 to 200 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze53.0ms (0.6%)

sample1.1s (13%)

explain123.0ms (1.5%)

preprocess248.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (2.3%)

localize90.0ms (1.1%)

series14.0ms (0.2%)

simplify218.0ms (2.7%)

rewrite209.0ms (2.6%)

eval62.0ms (0.8%)

prune55.0ms (0.7%)

simplify235.0ms (2.9%)

localize74.0ms (0.9%)

series35.0ms (0.4%)

simplify160.0ms (2%)

rewrite178.0ms (2.2%)

eval114.0ms (1.4%)

prune30.0ms (0.4%)

simplify217.0ms (2.7%)

localize70.0ms (0.9%)

series42.0ms (0.5%)

simplify279.0ms (3.4%)

rewrite431.0ms (5.3%)

eval342.0ms (4.2%)

prune39.0ms (0.5%)

simplify420.0ms (5.1%)

localize122.0ms (1.5%)

series97.0ms (1.2%)

simplify240.0ms (2.9%)

rewrite240.0ms (2.9%)

eval369.0ms (4.5%)

prune59.0ms (0.7%)

regimes91.0ms (1.1%)

regimes34.0ms (0.4%)

regimes27.0ms (0.3%)

regimes42.0ms (0.5%)

regimes14.0ms (0.2%)

regimes4.0ms (0%)

regimes14.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes133.0ms (1.6%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch21.0ms (0.3%)

bsearch37.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify33.0ms (0.4%)

soundness1.2s (15.3%)

preprocess341.0ms (4.2%)

end0.0ms (0%)

Profiling