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

analyze56.0ms (0.9%)

Memory

19.9MiB live, 95.5MiB 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 (17.5%)

Memory

-15.4MiB live, 1 508.8MiB allocated

Samples

705.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-sub: 197.0ms (42.2% of total)

ival-mult: 162.0ms (34.7% of total)

ival-div: 89.0ms (19.1% of total)

exact: 9.0ms (1.9% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain133.0ms (2.2%)

Memory

-14.0MiB live, 146.8MiB 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

33.0ms

512×

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 (42.7% of total)

ival-sub: 5.0ms (30.5% of total)

ival-div: 4.0ms (24.4% of total)

exact: 1.0ms (6.1% of total)

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

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

preprocess227.0ms (3.7%)

Memory

23.5MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

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: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

simplify189.0ms (3.1%)

Memory

9.0MiB live, 90.5MiB 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)

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)

localize26.0ms (0.4%)

Memory

-28.7MiB live, 47.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(*.f64 z #s(literal 1/2 binary64))
accuracy	0	(.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))))
accuracy	0.02734375	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Samples

17.0ms

256×

valid

Compiler

Compiled 40 to 12 computations (70% saved)

Precisions

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

ival-sub: 4.0ms (42.7% of total)

ival-mult: 3.0ms (32% of total)

ival-div: 2.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

31.9MiB live, 31.9MiB 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>) () ())) ())
#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 (* 1/2 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>) () ())) ())
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#s(alt (* 4 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) (patch (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4))) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) (patch (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify194.0ms (3.2%)

Memory

4.5MiB live, 204.2MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite164.0ms (2.7%)

Memory

-2.8MiB live, 265.7MiB allocated

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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eval60.0ms (1%)

Memory: 12.8MiB live, 176.4MiB allocated
Compiler: Compiled 10 342 to 1 382 computations (86.6% saved)

prune18.0ms (0.3%)

Memory

-28.7MiB live, 51.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

478 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
▶	35.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
	35.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	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)))
	70.8%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 4 binary64)))
▶	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 116 to 128 computations (-10.3% saved)

simplify191.0ms (3.1%)

Memory

16.2MiB live, 91.0MiB 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 (-.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))
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 x #s(literal 4 binary64))
cost-diff	0	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
cost-diff	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
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 (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	43	166
1	75	159
2	147	159
3	383	153
4	839	153
5	1811	153
6	3219	153
7	3824	153
8	3985	153
9	4013	153
10	4022	153
11	4027	153
12	4056	153
13	4216	153
14	4293	153
15	4293	153
16	4293	153
17	4293	153
0	4293	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (1.7%)

Memory

8.1MiB live, 166.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
accuracy	0.15625	(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
accuracy	0.171875	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z)
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	19.034038060557076	#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 x #s(literal 4 binary64))
accuracy	0.02734375	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
accuracy	43.496252493431	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
accuracy	39.85627509492263	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64)))
accuracy	0.109375	(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))

Samples

84.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 15.0ms (34.9% of total)

ival-div: 12.0ms (27.9% of total)

ival-add: 10.0ms (23.3% of total)

ival-sub: 4.0ms (9.3% of total)

exact: 1.0ms (2.3% of total)

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

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

series92.0ms (1.5%)

Memory

-12.9MiB live, 72.8MiB allocated

Counts

16 → 480

Calls

Call 1

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

Outputs
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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 (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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 (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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 (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) 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) #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 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x y)) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#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 #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>) () ())) ())
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#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 (/.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 (/ (+ (* -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 (/.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) (taylor -inf x) (#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 (/ (- (* -1 (/ (- y (* -1/2 z)) x)) 1) x)) (taylor -inf x) (#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 (/ (- (* -1 (/ (- (+ y (* -1 (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) x))) (* -1/2 z)) x)) 1) x)) (taylor -inf x) (#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 (/ (- (* -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)) (taylor -inf x) (#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 (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
6.0ms	z	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 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)))
5.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 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)))
3.0ms	y	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 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)))
3.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 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)))
2.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) (- x y)) -2) (/ 4 z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* x 4) (* (- -1/2 (/ y z)) 4) (/ (* 4 (- (- x y) (* z 1/2))) z) (- -1/2 (/ y z)) (/ y z) (/ 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)))

simplify168.0ms (2.7%)

Memory

16.4MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	5027
1	1565	4937
2	4649	4686
0	8658	4296

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 475

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 (/ (- 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 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* -1 (/ y z))
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ (- (* -1/2 z) y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ 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)
-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)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(/ -2 z)
(/ (- (* -4 (/ (- x y) z)) 2) z)
(/ (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) z)
(/ (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) z)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 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)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)
(/ -2 z)
(* -1 (/ (+ 2 (* 4 (/ (- x y) z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (- x y) 2) z)) (* 4 (- x y))) z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- x y) 3) z)) (* -8 (pow (- x y) 2))) z)) (* 4 (- x y))) z))) z))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* 4 (/ x z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
-1/2
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(- (* -1 (/ y z)) 1/2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 4 (/ (+ x (* -1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(+ (* -4 (/ y z)) (* 4 (/ (+ x (* -1/2 z)) z)))
(/ z (+ x (* -1/2 z)))
(+ (/ z (+ x (* -1/2 z))) (/ (* y z) (pow (+ x (* -1/2 z)) 2)))
(+ (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 3)) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(+ (* y (- (* y (- (/ (* y z) (pow (+ x (* -1/2 z)) 4)) (* -1 (/ z (pow (+ x (* -1/2 z)) 3))))) (* -1 (/ z (pow (+ x (* -1/2 z)) 2))))) (/ z (+ x (* -1/2 z))))
(/ 1 (+ x (* -1/2 z)))
(+ (/ 1 (+ x (* -1/2 z))) (/ y (pow (+ x (* -1/2 z)) 2)))
(+ (* y (+ (/ 1 (pow (+ x (* -1/2 z)) 2)) (/ y (pow (+ x (* -1/2 z)) 3)))) (/ 1 (+ x (* -1/2 z))))
(+ (* y (+ (* y (+ (/ 1 (pow (+ x (* -1/2 z)) 3)) (/ y (pow (+ x (* -1/2 z)) 4)))) (/ 1 (pow (+ x (* -1/2 z)) 2)))) (/ 1 (+ x (* -1/2 z))))
(+ x (* -1/2 z))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (+ (* -1 y) (* -1/2 z)))
(+ x (+ (* -1 y) (* -1/2 z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (* z (+ x (* -1/2 z))) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) (/ (* z (+ x (* -1/2 z))) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (* z (pow (+ x (* -1/2 z)) 3)) (pow y 3)))) (+ (/ (* z (+ x (* -1/2 z))) y) (/ (* z (pow (+ x (* -1/2 z)) 2)) (pow y 2)))) y)
(/ -1 y)
(/ (- (* -1 (/ (+ x (* -1/2 z)) y)) 1) y)
(/ (- (* -1 (/ (pow (+ x (* -1/2 z)) 2) (pow y 2))) (+ 1 (+ (* -1/2 (/ z y)) (/ x y)))) y)
(/ (- (* -1 (/ (pow (+ x (* -1/2 z)) 3) (pow y 3))) (+ 1 (+ (* -1/2 (/ z y)) (+ (/ x y) (/ (pow (+ x (* -1/2 z)) 2) (pow y 2)))))) y)
(* -1 y)
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* y (- (+ (* -1/2 (/ z y)) (/ x y)) 1))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ y z))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (/ z y))
(* -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))
(/ -1 y)
(* -1 (/ (+ 1 (+ (* -1/2 (/ z y)) (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* -1/2 z)) 2) y)) (+ x (* -1/2 z))) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* -1/2 z)) 3) y) (* -1 (pow (+ x (* -1/2 z)) 2))) y)) (+ x (* -1/2 z))) y))) y))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ x (* -1/2 z)) y)))))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* 4 (/ (- (* -1/2 z) y) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1/2 z) y) z)))
(/ z (- (* -1/2 z) y))
(+ (* -1 (/ (* x z) (pow (- (* -1/2 z) y) 2))) (/ z (- (* -1/2 z) y)))
(+ (* x (- (/ (* x z) (pow (- (* -1/2 z) y) 3)) (/ z (pow (- (* -1/2 z) y) 2)))) (/ z (- (* -1/2 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)))
(/ 1 (- (* -1/2 z) y))
(+ (* -1 (/ x (pow (- (* -1/2 z) y) 2))) (/ 1 (- (* -1/2 z) y)))
(+ (* x (- (/ x (pow (- (* -1/2 z) y) 3)) (/ 1 (pow (- (* -1/2 z) y) 2)))) (/ 1 (- (* -1/2 z) y)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* -1/2 z) y) 4))) (/ 1 (pow (- (* -1/2 z) y) 3)))) (/ 1 (pow (- (* -1/2 z) y) 2)))) (/ 1 (- (* -1/2 z) y)))
(- (* -1/2 z) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(- (+ x (* -1/2 z)) y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ 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)
(/ 1 x)
(/ (- (+ 1 (/ y x)) (* -1/2 (/ z x))) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) (pow x 2))) (/ y x))) (* -1/2 (/ z x))) x)
(/ (- (+ 1 (+ (/ y x) (/ (* (- y (* -1/2 z)) (pow (- (* -1/2 z) y) 2)) (pow x 3)))) (+ (* -1/2 (/ z x)) (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) (pow x 2)))) 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)))))
(* 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)))))
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)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(/ 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)))

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

rewrite193.0ms (3.2%)

Memory

7.8MiB live, 161.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	43	148
1	172	139
2	1300	139
0	8432	139

Stop Event

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

Counts

16 → 463

Calls

Call 1

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

Outputs
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eval223.0ms (3.7%)

Memory: 4.4MiB live, 288.2MiB allocated
Compiler: Compiled 17 819 to 2 475 computations (86.1% saved)

prune29.0ms (0.5%)

Memory

0.5MiB live, 73.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	996	3	999
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	999	8	1 007

Accuracy

100.0%

Counts

1 007 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)
✓	35.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
▶	35.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶	63.8%	(/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
▶	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
▶	70.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	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)))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 93 to 103 computations (-10.8% saved)

simplify225.0ms (3.7%)

Memory

-7.1MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	48	204
1	84	202
2	138	202
3	313	198
4	613	198
5	1367	198
6	2850	198
7	3579	198
8	3867	198
9	4038	198
10	4223	198
11	4437	198
12	4523	198
13	4937	198
14	5113	198
15	5113	198
16	5113	198
17	5145	198
18	5274	198
0	5274	187

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (1.1%)

Memory

8.3MiB live, 117.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y)))
accuracy	0.15625	(/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
accuracy	0.171875	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)
accuracy	23.16253914058387	#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	23.16253914058387	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))
accuracy	0	(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 y z)
accuracy	19.034038060557076	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 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	42.91901861264521	#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy	0	(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy	0	(/.f64 x z)
accuracy	18.62134519032013	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 160 to 28 computations (82.5% saved)

Precisions

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

ival-mult: 18.0ms (53.7% of total)

ival-div: 8.0ms (23.9% of total)

ival-sub: 3.0ms (9% of total)

ival-add: 3.0ms (9% of total)

exact: 1.0ms (3% of total)

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

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

series44.0ms (0.7%)

Memory

-11.0MiB live, 74.7MiB allocated

Counts

17 → 528

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (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 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -4 binary64) y) (patch (.f64 #s(literal -4 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#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 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #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 #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ x z)) (taylor 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 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (patch (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x y)) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) (patch #s(approx ( 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ y z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 y) (* -2 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 y) (* -2 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 y) (* -2 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 z) (* 4 (- x y))) z) (taylor 0 z) (#s(alt (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) (patch (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* 4 (- x y)) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 z) (* 4 (- x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (patch (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 z) (#s(alt #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (patch #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (patch #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (patch #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 z)) y) (taylor 0 z) (#s(alt #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) (patch #s(approx (- (- x y) (* z 1/2)) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (- x y) z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ z (- x y)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 (- x y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.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) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.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) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.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) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 z) (#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 (- (+ x (* -1/2 z)) y) (taylor 0 z) (#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 (- (+ x (* -1/2 z)) y) (taylor 0 z) (#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 (- (+ x (* -1/2 z)) y) (taylor 0 z) (#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>) () ())) ())
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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) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z))))) (taylor -inf x) (#s(alt #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (patch #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.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 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) (patch (/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 z) (/ (* z (- (* -1/2 z) y)) x)) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<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 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<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 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- y (* -1/2 z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (* (- y (* -1/2 z)) (- (* -1/2 z) y)) x))) (* -1/2 z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* -1/2 z) (- x y)) (-.f64 x y))) (patch (/.f64 #s(literal 1 binary64) #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
12.0ms	y	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 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)))
2.0ms	z	@	0	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 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)))
1.0ms	y	@	inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 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)))
1.0ms	z	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 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)))
1.0ms	x	@	-inf	((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ x z) 4) -2) (/ x z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ y z) -4) -2) (/ y z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (- (- x y) (* z 1/2)) (- x y) (/ 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)))

simplify173.0ms (2.8%)

Memory

-10.0MiB live, 243.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	5535
1	1560	5388
2	4509	5170
0	8369	4759

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 521

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 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)))
(* 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)
(* 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))))
(/ 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)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z))))
(- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2))))))
(/ -2 z)
(/ (- (* -4 (/ (- x y) z)) 2) z)
(/ (- (* -8 (/ (pow (- x y) 2) (pow z 2))) (+ 2 (* 4 (/ (- x y) z)))) z)
(/ (- (* -16 (/ (pow (- x y) 3) (pow z 3))) (+ 2 (+ (* 4 (/ (- x y) z)) (* 8 (/ (pow (- x y) 2) (pow z 2)))))) z)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* z (- (/ x z) (+ 1/2 (/ y z))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(- (* 4 (/ x z)) 2)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
-2
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (- x y) z)) 2)
-2
(- (* -4 (/ (- x y) z)) 2)
(- (* -1 (/ (- (* 8 (/ (pow (- x y) 2) z)) (* -4 (- x y))) z)) 2)
(- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow (- x y) 3) z)) (* 8 (pow (- x y) 2))) z)) (* -4 (- x y))) z)) 2)
(/ -2 z)
(* -1 (/ (+ 2 (* 4 (/ (- x y) z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (pow (- x y) 2) z)) (* 4 (- x y))) z))) z))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (- x y) 3) z)) (* -8 (pow (- x y) 2))) z)) (* 4 (- x y))) z))) z))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
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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 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)
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(/ (+ (* -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)
(/ (+ (* -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))
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(+ (* -2 z) (* 4 (- x y)))
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(+ (* -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)
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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 (/ y z))
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rewrite174.0ms (2.8%)

Memory

-18.1MiB live, 220.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	183
0	48	181
1	182	179
2	1230	179
0	8341	168

Stop Event

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

Counts

17 → 353

Calls

Call 1

Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 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 (.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 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z)
(/.f64 #s(literal 1 binary64) #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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eval124.0ms (2%)

Memory: 46.4MiB live, 197.8MiB allocated
Compiler: Compiled 12 957 to 1 733 computations (86.6% saved)

prune69.0ms (1.1%)

Memory

-19.3MiB live, 55.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	935	1	936
Fresh	0	0	0
Picked	1	4	5
Done	1	2	3
Total	937	7	944

Accuracy

100.0%

Counts

944 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	35.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	63.8%	(/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
▶	63.9%	(.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
✓	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	70.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 46 to 53 computations (-15.2% saved)

simplify60.0ms (1%)

Memory

-2.8MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
1	28	36
2	57	36
3	106	36
4	179	36
5	335	36
6	477	36
7	642	36
8	758	36
9	924	36
10	1286	36
11	1290	36
12	1304	36
13	1316	36
0	1316	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-2.3MiB live, 34.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 4 binary64) z)
accuracy	0	(-.f64 x y)
accuracy	0.17578125	(.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
accuracy	23.16253914058387	#s(approx (- (- x y) (* z 1/2)) (-.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-sub: 3.0ms (36.6% of total)

ival-mult: 3.0ms (36.6% of total)

ival-div: 2.0ms (24.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((* (/ 4 z) (- (- x y) (* z 1/2))) (/ 4 z) (- (- x y) (* z 1/2)) (- x y))
1.0ms	z	@	0	((* (/ 4 z) (- (- x y) (* z 1/2))) (/ 4 z) (- (- x y) (* z 1/2)) (- x y))
1.0ms	z	@	-inf	((* (/ 4 z) (- (- x y) (* z 1/2))) (/ 4 z) (- (- x y) (* z 1/2)) (- x y))
0.0ms	x	@	-inf	((* (/ 4 z) (- (- x y) (* z 1/2))) (/ 4 z) (- (- x y) (* z 1/2)) (- x y))
0.0ms	y	@	inf	((* (/ 4 z) (- (- x y) (* z 1/2))) (/ 4 z) (- (- x y) (* z 1/2)) (- x y))

simplify110.0ms (1.8%)

Memory

-21.5MiB live, 133.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	658
1	308	657
2	885	655
3	2631	653
4	6454	599
0	8358	542

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

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

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

rewrite143.0ms (2.3%)

Memory

17.5MiB live, 210.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	15	32
1	61	32
2	444	32
3	5948	32
0	8255	30

Stop Event

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

Counts

4 → 141

Calls

Call 1

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

Outputs
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eval28.0ms (0.5%)

Memory: 25.1MiB live, 62.7MiB allocated
Compiler: Compiled 3 570 to 545 computations (84.7% saved)

prune11.0ms (0.2%)

Memory

-22.0MiB live, 26.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	244	7	251

Accuracy

100.0%

Counts

251 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.1%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
✓	35.2%	(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓	63.8%	(/.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -1/2 z) (- x y)) (-.f64 x y))) z))
✓	63.9%	(.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))
✓	70.3%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))
✓	70.9%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓	37.7%	#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Compiler

Compiled 147 to 100 computations (32% saved)

regimes25.0ms (0.4%)

Memory

12.5MiB live, 51.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

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)

regimes20.0ms (0.3%)

Memory

-2.4MiB live, 36.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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:

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

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)

regimes19.0ms (0.3%)

Memory

-3.4MiB live, 35.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
91.6%	3	`x`
92.6%	3	`y`
87.8%	3	`z`
99.6%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
87.4%	3	`(-.f64 x y)`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.5%	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)

regimes38.0ms (0.6%)

Memory

-2.6MiB live, 45.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

32.0ms	y
3.0ms	x
3.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
90.9%	3	`x`
91.4%	3	`y`
74.4%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes7.0ms (0.1%)

Memory

-28.5MiB live, 10.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
70.9%	1	`x`
88.4%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(-.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
61.3%	3	`x`
72.5%	4	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
58.3%	3	`(-.f64 x y)`
62.2%	4	`z`
67.5%	6	`y`

Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#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)

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
69.8%	3	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes42.0ms (0.7%)

Memory

-26.7MiB live, 11.8MiB 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:

36.0ms	z
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y
1.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

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

Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	979434.0482443679	4477532014097925000.0
0.0ms	-1438387.1127374347	-2.0000002299505955

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	979434.0482443679	4477532014097925000.0
0.0ms	-1438387.1127374347	-2.0000002299505955

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch30.0ms (0.5%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.6412247755624144e+61	1.3735068559981066e+70
13.0ms	-1.1913219857293917e+89	-4.269061383924674e+83

Samples

16.0ms

288×

valid

Compiler

Compiled 266 to 340 computations (-27.8% saved)

Precisions

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

ival-sub: 3.0ms (33.2% of total)

ival-mult: 3.0ms (33.2% of total)

ival-div: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch182.0ms (3%)

Memory

-22.6MiB live, 15.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
172.0ms	7.257458479008499e+93	2.3407879615496478e+95
8.0ms	-1.1913219857293917e+89	-4.269061383924674e+83

Samples

172.0ms

192×

valid

Compiler

Compiled 222 to 288 computations (-29.7% saved)

Precisions

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

ival-sub: 2.0ms (32.9% of total)

ival-mult: 2.0ms (32.9% of total)

ival-div: 1.0ms (16.5% 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

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.257458479008499e+93	2.3407879615496478e+95
1.0ms	-1.1913219857293917e+89	-4.269061383924674e+83

Compiler

Compiled 222 to 288 computations (-29.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.991840158613781	979434.0482443679
0.0ms	-1438387.1127374347	-2.0000002299505955
0.0ms	-6.064928551720261e+55	-6.499151307267784e+44

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.991840158613781	979434.0482443679
0.0ms	-1438387.1127374347	-2.0000002299505955

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify73.0ms (1.2%)

Memory

1.7MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	541
1	81	541
2	95	541
3	103	541
4	108	541
5	109	541

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
#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 -1000000 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 1000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))))
(if (<=.f64 y #s(literal -84000000000000003989676938092914849575385955891441205959846894990417516662106139656192 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 45999999999999999099055916371364748938613639956111999744606208 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -224999999999999996390160080111282644533503809992521935886578454942817626793984124780544 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -224999999999999996390160080111282644533503809992521935886578454942817626793984124780544 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 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 -50000000000000004595141754071689119042017229857842266112 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 -1000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

Outputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z)
#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 -1000000 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 1000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 4 binary64) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1000000 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 1000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (/.f64 (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) #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 -1000000 binary64)) (.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y))) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal 1000000 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 4 binary64) z) #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1000000 binary64)) (.f64 #s(approx (- (- x y) ( z 1/2)) (-.f64 x y)) (/.f64 #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 1000000 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 (- (- x y) ( z 1/2)) (-.f64 x y)) (/.f64 #s(literal 4 binary64) z))))
(if (<=.f64 y #s(literal -84000000000000003989676938092914849575385955891441205959846894990417516662106139656192 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 45999999999999999099055916371364748938613639956111999744606208 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -224999999999999996390160080111282644533503809992521935886578454942817626793984124780544 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 x z) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 y #s(literal -224999999999999996390160080111282644533503809992521935886578454942817626793984124780544 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 y #s(literal 229999999999999997239648488057631300263959113783276177852409658326844822624292414646060203376640 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 -50000000000000004595141754071689119042017229857842266112 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 -1000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -50000000000000004595141754071689119042017229857842266112 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1000000 binary64)) (/.f64 #s(approx ( 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z))))
(if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (.f64 (-.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ ( 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness1.0s (16.7%)

Memory

25.8MiB live, 420.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	183
0	48	181
1	182	179
2	1230	179
0	8341	168
0	127	890
1	390	889
2	1127	887
3	3264	885
0	8225	800
0	505	5027
1	1565	4937
2	4649	4686
0	8658	4296

Stop Event

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

Compiler

Compiled 437 to 204 computations (53.3% saved)

preprocess224.0ms (3.7%)

Memory: -25.4MiB live, 217.0MiB allocated
Compiler: Compiled 670 to 168 computations (74.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze56.0ms (0.9%)

sample1.1s (17.5%)

explain133.0ms (2.2%)

preprocess227.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify189.0ms (3.1%)

localize26.0ms (0.4%)

series14.0ms (0.2%)

simplify194.0ms (3.2%)

rewrite164.0ms (2.7%)

eval60.0ms (1%)

prune18.0ms (0.3%)

simplify191.0ms (3.1%)

localize101.0ms (1.7%)

series92.0ms (1.5%)

simplify168.0ms (2.7%)

rewrite193.0ms (3.2%)

eval223.0ms (3.7%)

prune29.0ms (0.5%)

simplify225.0ms (3.7%)

localize68.0ms (1.1%)

series44.0ms (0.7%)

simplify173.0ms (2.8%)

rewrite174.0ms (2.8%)

eval124.0ms (2%)

prune69.0ms (1.1%)

simplify60.0ms (1%)

localize25.0ms (0.4%)

series7.0ms (0.1%)

simplify110.0ms (1.8%)

rewrite143.0ms (2.3%)

eval28.0ms (0.5%)

prune11.0ms (0.2%)

regimes25.0ms (0.4%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes3.0ms (0.1%)

regimes38.0ms (0.6%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes42.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch30.0ms (0.5%)

bsearch182.0ms (3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify73.0ms (1.2%)

soundness1.0s (16.7%)

preprocess224.0ms (3.7%)

end0.0ms (0%)

Profiling