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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze133.0ms (0.1%)

Memory

-2.0MiB live, 240.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
25%	25%	74.9%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	7
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	11
76.6%	76.4%	23.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample889.0ms (0.8%)

Memory

43.8MiB live, 1 684.2MiB allocated

Samples

579.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult: 134.0ms (38.1% of total)

ival-div: 124.0ms (35.3% of total)

ival-sub: 43.0ms (12.2% of total)

ival-add: 36.0ms (10.2% of total)

ival-true: 7.0ms (2% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain132.0ms (0.1%)

Memory

31.7MiB live, 275.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	7	(-1967142348.147666 2.0503348847393553e-287 3.052843028510326e-36 -1.0637943355765275e-38)	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`
1	-	0	-	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
0	-	0	-	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`
0	-	0	-	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 z #s(literal 3 binary64))`
0	-	0	-	`(.f64 (.f64 z #s(literal 3 binary64)) y)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/u	9	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	underflow	30
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/o	2	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	35
`+.f64`	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`	nan-rescue	1	0
↳	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`	overflow	37
↳	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`	overflow	37
↳	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	overflow	43
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	35

Confusion

	Predicted +	Predicted -
+	12	4
-	0	240

Precision

1.0

Recall

0.75

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	4
-	0	0	240

Precision?

1.0

Recall?

0.75

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 9.0ms (34.7% of total)

ival-div: 7.0ms (27% of total)

ival-add: 6.0ms (23.2% of total)

ival-sub: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess245.0ms (0.2%)

Memory

-16.0MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 112×	`lower-fma.f64`
2 112×	`lower-fma.f32`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`
1 100×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	222
1	209	210
2	609	210
3	1702	174
4	4679	168
5	7740	168
0	11	15
0	17	15
1	30	15
2	69	15
3	139	15
4	327	15
5	736	13
6	2052	11
7	2750	11
8	3078	11
9	3329	11
10	3509	11
11	3525	11
12	3586	11
13	3702	11
14	3752	11
15	3764	11
16	3764	11
17	3764	11
18	3764	11
0	3764	10

Stop Event

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

Calls

Call 1

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

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

Samples

0.0ms	1×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 57 to 36 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify484.0ms (0.4%)

Memory

21.7MiB live, 738.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(/.f64 y (*.f64 z #s(literal 3 binary64)))
cost-diff	128	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
cost-diff	640	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Rules

2 112×	`lower-fma.f64`
2 112×	`lower-fma.f32`
1 152×	`lower-*.f32`
1 148×	`lower-*.f64`
722×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	17	47
1	30	47
2	69	47
3	139	47
4	327	47
5	736	45
6	2052	43
7	2750	43
8	3078	43
9	3329	43
10	3509	43
11	3525	43
12	3586	43
13	3702	43
14	3752	43
15	3764	43
16	3764	43
17	3764	43
18	3764	43
0	3764	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

Samples

109.0ms	2 933×	0	valid
1.0ms	4×	2	valid

Compiler

Compiled 20 173 to 19 711 computations (2.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 20.0ms (43.9% of total)

ival-div: 11.0ms (24.2% of total)

ival-add: 8.0ms (17.6% of total)

ival-sub: 2.0ms (4.4% of total)

ival-true: 2.0ms (4.4% of total)

exact: 2.0ms (4.4% of total)

ival-assert: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

localize34.0ms (0%)

Memory

-16.7MiB live, 62.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f64 (.f64 z #s(literal 3 binary64)) y)
accuracy	0.23828125	(/.f64 y (*.f64 z #s(literal 3 binary64)))
accuracy	0.2539041858302058	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
accuracy	4.7311181635851165	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))

Samples

21.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-div: 4.0ms (40.2% of total)

ival-mult: 4.0ms (40.2% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0%)

Memory

5.1MiB live, 43.6MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify8.3s (7.5%)

Memory

-324.4MiB live, 14 907.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 462×	`lower-fma.f64`
10 462×	`lower-fma.f32`
3 274×	`lower-*.f64`
3 274×	`lower-*.f32`
2 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1412
1	307	1322
2	875	1322
3	2795	1262
4	6348	1262
0	8216	1196

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

Calls

Call 1

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

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

Samples

3.5s	46 226×	0	valid
9.0ms	23×	2	valid

Compiler

Compiled 484 273 to 456 807 computations (5.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.1s

const: 765.0ms (36.5% of total)

ival-mult: 669.0ms (31.9% of total)

ival-div: 357.0ms (17% of total)

ival-add: 215.0ms (10.3% of total)

ival-true: 41.0ms (2% of total)

ival-assert: 22.0ms (1% of total)

exact: 17.0ms (0.8% of total)

ival-sub: 11.0ms (0.5% of total)

adjust: 1.0ms (0% of total)

rewrite293.0ms (0.3%)

Memory

-0.7MiB live, 481.9MiB allocated

Rules

10 320×	`lower-fma.f64`
10 320×	`lower-fma.f32`
6 744×	`lower-*.f32`
6 740×	`lower-*.f64`
4 744×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	17	42
1	69	42
2	861	38
0	9318	37

Stop Event

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

Counts

6 → 350

Calls

Call 1

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

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

eval64.0ms (0.1%)

Memory: -11.0MiB live, 144.6MiB allocated
Compiler: Compiled 14 647 to 1 072 computations (92.7% saved)

prune101.0ms (0.1%)

Memory

13.0MiB live, 217.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	536	12	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	537	12	549

Accuracy

100.0%

Counts

549 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
▶	96.1%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
	94.8%	(+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	94.4%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (.f64 y #s(literal 3 binary64))))
	72.4%	(+.f64 #s(approx (- x (/ y (* z 3))) (.f64 y (/.f64 #s(literal -1/3 binary64) z))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
▶	96.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
	64.8%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
	86.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y)) x))
	55.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y))
▶	35.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
	73.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
▶	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))

Compiler

Compiled 368 to 236 computations (35.9% saved)

simplify1.4s (1.2%)

Memory

27.6MiB live, 2 627.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 t (*.f64 y z))
cost-diff	512	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
cost-diff	0	(-.f64 (/.f64 t y) y)
cost-diff	0	(/.f64 #s(literal 1/3 binary64) z)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
cost-diff	0	(*.f64 y z)
cost-diff	0	(*.f64 #s(literal 1/3 binary64) t)
cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
cost-diff	0	(/.f64 #s(literal -1/3 binary64) z)
cost-diff	0	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
cost-diff	0	(/.f64 t y)
cost-diff	0	(-.f64 y (/.f64 t y))
cost-diff	0	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))
cost-diff	128	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))

Rules

2 112×	`lower-fma.f32`
2 106×	`lower-fma.f64`
1 152×	`lower-*.f32`
1 144×	`lower-*.f64`
592×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	196
0	53	195
1	99	183
2	197	183
3	353	177
4	749	177
5	1769	177
6	3579	177
7	3971	177
8	4123	177
9	4180	177
10	4183	177
11	4183	177
12	4231	177
13	4259	177
14	4259	177
15	4259	177
16	4295	177
17	4467	177
18	4467	177
0	4467	177

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
x
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
y
(/.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
(*.f64 #s(literal 1/3 binary64) t)
#s(literal 1/3 binary64)
t
(*.f64 y z)
y
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
(/.f64 #s(literal 1/3 binary64) z)
#s(literal 1/3 binary64)
z
(-.f64 (/.f64 t y) y)
(/.f64 t y)
t
y
x
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
(/.f64 t (*.f64 y z))
t
(*.f64 y z)
y
z
#s(literal 1/3 binary64)
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(/.f64 y z)
#s(literal -1/3 binary64)
x

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

Samples

478.0ms	12 114×	0	valid
6.0ms	31×	2	valid

Compiler

Compiled 76 677 to 73 745 computations (3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 60.0ms (27.6% of total)

const: 50.0ms (23% of total)

ival-mult: 43.0ms (19.8% of total)

ival-add: 31.0ms (14.3% of total)

ival-sub: 10.0ms (4.6% of total)

ival-true: 10.0ms (4.6% of total)

ival-assert: 5.0ms (2.3% of total)

exact: 4.0ms (1.8% of total)

ival-neg: 3.0ms (1.4% of total)

adjust: 1.0ms (0.5% of total)

localize106.0ms (0.1%)

Memory

9.4MiB live, 206.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.31925771870105574	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
accuracy	0.5168036507829341	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
accuracy	4.644337049944217	(/.f64 t (*.f64 y z))
accuracy	0	(-.f64 (/.f64 t y) y)
accuracy	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
accuracy	0.3828125	(/.f64 #s(literal 1/3 binary64) z)
accuracy	2.533430190196296	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
accuracy	0	(*.f64 y z)
accuracy	0.37109375	(*.f64 #s(literal 1/3 binary64) t)
accuracy	4.867823388172928	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
accuracy	39.62112931401945	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
accuracy	0.234375	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
accuracy	0.3828125	(/.f64 #s(literal -1/3 binary64) z)
accuracy	37.76513460867103	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
accuracy	0	(-.f64 y (/.f64 t y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
accuracy	2.586028056594298	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))

Samples

72.0ms

256×

valid

Compiler

Compiled 177 to 34 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 16.0ms (32.2% of total)

ival-mult: 13.0ms (26.2% of total)

ival-add: 8.0ms (16.1% of total)

const: 8.0ms (16.1% of total)

ival-sub: 5.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (0%)

Memory

7.6MiB live, 86.6MiB allocated

Counts

19 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(* 1/3 t)
3.0ms	z	@	-inf	(- x (/ (- y (/ t y)) (* z 3)))
1.0ms	t	@	inf	(- x (/ (- y (/ t y)) (* z 3)))
1.0ms	t	@	0	(- x (/ (- y (/ t y)) (* z 3)))
1.0ms	x	@	0	(- x (/ (- y (/ t y)) (* z 3)))

simplify27.0s (24.3%)

Memory

45.0MiB live, 47 003.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 204×	`lower-fma.f64`
8 204×	`lower-fma.f32`
4 080×	`lower-*.f64`
4 080×	`lower-*.f32`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	4852
1	600	4780
2	1705	4615
3	5608	4408
0	8255	4156

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 568

Calls

Call 1

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

Samples

12.1s	154 152×	0	valid
10.0ms	24×	2	valid

Compiler

Compiled 1 660 080 to 1 548 237 computations (6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.6s

ival-mult: 2.1s (27.6% of total)

const: 2.0s (26% of total)

ival-div: 1.7s (22.5% of total)

ival-add: 1.1s (14.5% of total)

ival-sub: 284.0ms (3.8% of total)

ival-neg: 187.0ms (2.5% of total)

ival-true: 135.0ms (1.8% of total)

ival-assert: 68.0ms (0.9% of total)

exact: 38.0ms (0.5% of total)

adjust: 1.0ms (0% of total)

rewrite324.0ms (0.3%)

Memory

39.5MiB live, 581.4MiB allocated

Rules

8 548×	`lower-fma.f32`
8 542×	`lower-fma.f64`
5 752×	`lower-/.f32`
5 738×	`lower-/.f64`
4 090×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	164
0	53	163
1	236	145
2	2762	145
0	9053	145

Stop Event

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

Counts

19 → 1 306

Calls

Call 1

Inputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))
(-.f64 y (/.f64 t y))
(/.f64 t y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 #s(literal -1/3 binary64) z)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
(*.f64 #s(literal 1/3 binary64) t)
(*.f64 y z)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
(/.f64 #s(literal 1/3 binary64) z)
(-.f64 (/.f64 t y) y)
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
(/.f64 t (*.f64 y z))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(*.f64 z #s(literal 3 binary64))

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

eval260.0ms (0.2%)

Memory: -8.5MiB live, 541.7MiB allocated
Compiler: Compiled 45 619 to 2 212 computations (95.2% saved)

prune275.0ms (0.2%)

Memory

-0.8MiB live, 601.5MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 928	17	1 945
Fresh	5	2	7
Picked	3	2	5
Done	0	0	0
Total	1 936	21	1 957

Accuracy

100.0%

Counts

1 957 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.4%	(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
▶	96.0%	(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)
✓	96.1%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
	57.5%	(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))))
▶	56.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
▶	64.5%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	40.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
	64.8%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z))
	37.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
▶	37.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))))
	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
	35.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))))
▶	40.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
	35.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))
	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 t #s(literal 1/3 binary64))))
	73.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
✓	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))

Compiler

Compiled 497 to 333 computations (33% saved)

simplify1.3s (1.2%)

Memory

37.8MiB live, 2 302.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 3 binary64))
cost-diff	0	(/.f64 t z)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
cost-diff	384	(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 t (*.f64 y z))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
cost-diff	0	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
cost-diff	0	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
cost-diff	0	(/.f64 t y)
cost-diff	0	(-.f64 (/.f64 t y) y)
cost-diff	0	(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))
cost-diff	320	(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)

Rules

2 112×	`lower-fma.f32`
2 106×	`lower-fma.f64`
1 194×	`div-sub`
1 152×	`lower-*.f32`
1 144×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	180
0	53	180
1	101	171
2	196	171
3	399	171
4	957	171
5	2453	171
6	3710	171
7	4221	171
8	4472	171
9	4821	171
10	5394	171
11	5430	171
12	5550	171
13	5550	171
14	5550	171
15	5586	171
16	5750	171
17	5750	171
0	5750	166

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))
#s(literal 1/3 binary64)
(-.f64 (/.f64 t y) y)
(/.f64 t y)
t
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(/.f64 y z)
y
z
#s(literal -1/3 binary64)
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
#s(literal -1/3 binary64)
(/.f64 y z)
y
z
x
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
#s(literal 1/3 binary64)
(/.f64 t (*.f64 y z))
t
(*.f64 y z)
y
z
x
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))
(/.f64 t z)
t
z
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)

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

Samples

449.0ms	11 144×	0	valid
5.0ms	28×	2	valid

Compiler

Compiled 68 232 to 66 364 computations (2.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-div: 52.0ms (27.8% of total)

ival-mult: 47.0ms (25.1% of total)

const: 36.0ms (19.3% of total)

ival-add: 26.0ms (13.9% of total)

ival-true: 9.0ms (4.8% of total)

ival-sub: 6.0ms (3.2% of total)

ival-assert: 5.0ms (2.7% of total)

exact: 4.0ms (2.1% of total)

adjust: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

localize110.0ms (0.1%)

Memory

-20.9MiB live, 255.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 t z)
accuracy	0	(*.f64 y #s(literal 3 binary64))
accuracy	5.523346658930922	(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))
accuracy	39.62112931401945	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
accuracy	0	(*.f64 y z)
accuracy	0.33321196495272826	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
accuracy	4.644337049944217	(/.f64 t (*.f64 y z))
accuracy	24.75023809242931	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
accuracy	0	(/.f64 y z)
accuracy	0.31925771870105574	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
accuracy	22.433914723814137	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
accuracy	0	(/.f64 y z)
accuracy	0.44425771870105574	(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
accuracy	37.76513460867103	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0	(-.f64 (/.f64 t y) y)
accuracy	0.5375299351598481	(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))
accuracy	2.513898940196296	(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)

Samples

73.0ms

256×

valid

Compiler

Compiled 155 to 36 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 19.0ms (36.5% of total)

ival-mult: 15.0ms (28.8% of total)

const: 8.0ms (15.4% of total)

ival-sub: 5.0ms (9.6% of total)

ival-add: 5.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0%)

Memory

24.3MiB live, 65.5MiB allocated

Counts

18 → 588

Calls

Call 1

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

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

Calls

147 calls:

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

simplify24.4s (21.9%)

Memory

43.5MiB live, 43 983.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 556×	`lower-fma.f64`
11 556×	`lower-fma.f32`
4 400×	`lower-*.f64`
4 400×	`lower-*.f32`
1 958×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	4080
1	588	4077
2	1671	4001
3	5718	4001
0	8728	3750

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 556

Calls

Call 1

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

Samples

11.1s	150 983×	0	valid
18.0ms	29×	2	valid

Compiler

Compiled 1 471 736 to 1 410 552 computations (4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.2s

ival-mult: 1.7s (27.9% of total)

ival-div: 1.6s (25.8% of total)

const: 1.6s (25.8% of total)

ival-add: 609.0ms (9.9% of total)

ival-sub: 313.0ms (5.1% of total)

ival-true: 129.0ms (2.1% of total)

ival-neg: 109.0ms (1.8% of total)

ival-assert: 67.0ms (1.1% of total)

exact: 40.0ms (0.6% of total)

adjust: 1.0ms (0% of total)

rewrite318.0ms (0.3%)

Memory

0.9MiB live, 547.8MiB allocated

Rules

10 592×	`lower-fma.f32`
10 586×	`lower-fma.f64`
5 610×	`lower-/.f32`
5 598×	`lower-/.f64`
4 452×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	155
0	53	154
1	238	146
2	2372	146
0	9422	141

Stop Event

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

Counts

18 → 722

Calls

Call 1

Inputs
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))
(-.f64 (/.f64 t y) y)
(/.f64 t y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(/.f64 y z)
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
(/.f64 t (*.f64 y z))
(*.f64 y z)
(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
(/.f64 t z)
(*.f64 y #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) z)

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

eval161.0ms (0.1%)

Memory: -13.4MiB live, 338.8MiB allocated
Compiler: Compiled 20 956 to 1 674 computations (92% saved)

prune218.0ms (0.2%)

Memory

-5.5MiB live, 437.6MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 326	3	1 329
Fresh	3	11	14
Picked	0	5	5
Done	0	2	2
Total	1 329	21	1 350

Accuracy

100.0%

Counts

1 350 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)
✓	96.1%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
	56.1%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 (.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 y z)) x))
	64.8%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
✓	56.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
✓	64.5%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	40.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
	72.6%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z))
▶	37.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
✓	37.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))))
▶	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
	35.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))))
✓	40.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
	35.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))
	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 t #s(literal 1/3 binary64))))
▶	73.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
▶	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
✓	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
▶	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))

Compiler

Compiled 435 to 292 computations (32.9% saved)

simplify1.2s (1.1%)

Memory

41.0MiB live, 2 295.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(/.f64 t (*.f64 z #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
cost-diff	384	(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
cost-diff	0	(.f64 y (.f64 z #s(literal -3 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
cost-diff	320	(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 y z))
cost-diff	0	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
cost-diff	0	(*.f64 z #s(literal -3 binary64))
cost-diff	0	(/.f64 y (*.f64 z #s(literal -3 binary64)))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
cost-diff	0	(-.f64 (/.f64 t y) y)
cost-diff	0	(/.f64 #s(literal 1/3 binary64) z)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))

Rules

2 112×	`lower-fma.f64`
2 112×	`lower-fma.f32`
1 152×	`lower-*.f32`
1 138×	`lower-*.f64`
624×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	219
0	49	213
1	84	213
2	183	213
3	377	193
4	766	193
5	2123	193
6	3520	193
7	3912	193
8	3990	193
9	4025	193
10	4042	193
11	4092	193
12	4434	193
13	4586	193
14	4586	193
15	4586	193
16	4622	193
17	4786	193
18	4786	193
0	4786	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
(/.f64 #s(literal 1/3 binary64) z)
#s(literal 1/3 binary64)
z
(-.f64 (/.f64 t y) y)
(/.f64 t y)
t
y
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
y
(*.f64 z #s(literal -3 binary64))
z
#s(literal -3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))
t
(/.f64 #s(literal 1/3 binary64) (*.f64 y z))
#s(literal 1/3 binary64)
(*.f64 y z)
y
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t)
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64))))
#s(literal -1 binary64)
(.f64 y (.f64 z #s(literal -3 binary64)))
y
(*.f64 z #s(literal -3 binary64))
z
#s(literal -3 binary64)
t
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
(/.f64 t (*.f64 z #s(literal 3 binary64)))
t
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
y

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

Samples

399.0ms	10 956×	0	valid
5.0ms	24×	2	valid

Compiler

Compiled 69 736 to 67 817 computations (2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 63.0ms (35.9% of total)

ival-div: 41.0ms (23.4% of total)

const: 23.0ms (13.1% of total)

ival-add: 22.0ms (12.5% of total)

ival-true: 9.0ms (5.1% of total)

ival-sub: 6.0ms (3.4% of total)

ival-assert: 5.0ms (2.8% of total)

exact: 5.0ms (2.8% of total)

adjust: 1.0ms (0.6% of total)

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

localize92.0ms (0.1%)

Memory

-3.7MiB live, 154.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.1875	(/.f64 t (*.f64 z #s(literal 3 binary64)))
accuracy	5.484284067942127	(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
accuracy	39.62112931401945	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
accuracy	0.14453125	(.f64 y (.f64 z #s(literal -3 binary64)))
accuracy	0.434113251789591	(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64))))
accuracy	5.304326455991419	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t)
accuracy	39.62112931401945	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
accuracy	0	(*.f64 y z)
accuracy	0.5083320017895909	(/.f64 #s(literal 1/3 binary64) (*.f64 y z))
accuracy	5.304326455991419	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))
accuracy	39.62112931401945	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
accuracy	0	(*.f64 z #s(literal -3 binary64))
accuracy	0.23828125	(/.f64 y (*.f64 z #s(literal -3 binary64)))
accuracy	37.76513460867103	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
accuracy	0	(-.f64 (/.f64 t y) y)
accuracy	0.3828125	(/.f64 #s(literal 1/3 binary64) z)
accuracy	2.578215556594298	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
accuracy	15.304599775112626	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))

Samples

59.0ms

256×

valid

Compiler

Compiled 179 to 30 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 16.0ms (41.7% of total)

ival-mult: 15.0ms (39.1% of total)

const: 4.0ms (10.4% of total)

ival-sub: 2.0ms (5.2% of total)

ival-add: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0%)

Memory

19.2MiB live, 57.5MiB allocated

Counts

19 → 588

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) (patch #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) (patch (.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) z) (patch (/.f64 #s(literal 1/3 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (.f64 z #s(literal -3 binary64)))) (patch #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 z #s(literal -3 binary64))) (patch (/.f64 y (.f64 z #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal -3 binary64)) (patch (.f64 z #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))) #<representation binary64>) () ())
#s(alt (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))) (patch (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 y z)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64)))) (patch (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64)))) t)) (patch #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64)))) t) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64)))) t) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 z #s(literal -3 binary64))) (patch (.f64 y (.f64 z #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 t (.f64 z #s(literal 3 binary64))) y) (patch (/.f64 (/.f64 t (.f64 z #s(literal 3 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (.f64 z #s(literal 3 binary64))) y)) (patch #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 t (.f64 z #s(literal 3 binary64))) (patch (/.f64 t (.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())

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

Calls

147 calls:

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

simplify39.6s (35.6%)

Memory

-262.3MiB live, 49 862.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 100×	`lower-fma.f64`
11 100×	`lower-fma.f32`
3 994×	`lower-*.f64`
3 994×	`lower-*.f32`
1 912×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	4904
1	398	4631
2	1177	4631
3	3799	4538
4	7404	4538
0	8078	4340

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 568

Calls

Call 1

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

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

Samples

13.7s	151 013×	0	valid
17.0ms	44×	2	valid

Compiler

Compiled 1 788 143 to 1 633 561 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.5s

ival-mult: 3.0s (34.9% of total)

const: 2.4s (28.5% of total)

ival-div: 1.8s (21.3% of total)

ival-add: 951.0ms (11.1% of total)

ival-true: 135.0ms (1.6% of total)

ival-assert: 69.0ms (0.8% of total)

ival-sub: 63.0ms (0.7% of total)

exact: 49.0ms (0.6% of total)

ival-neg: 30.0ms (0.4% of total)

adjust: 2.0ms (0% of total)

rewrite288.0ms (0.3%)

Memory

-0.6MiB live, 433.7MiB allocated

Rules

10 040×	`lower-fma.f64`
10 040×	`lower-fma.f32`
5 676×	`lower-/.f32`
5 662×	`lower-/.f64`
4 076×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	193
0	49	187
1	175	187
2	1683	167
0	8346	167

Stop Event

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

Counts

19 → 1 145

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
(/.f64 #s(literal 1/3 binary64) z)
(-.f64 (/.f64 t y) y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(*.f64 z #s(literal -3 binary64))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))
(/.f64 #s(literal 1/3 binary64) (*.f64 y z))
(*.f64 y z)
(/.f64 #s(literal -1 binary64) (.f64 y (.f64 z #s(literal -3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t)
(.f64 y (.f64 z #s(literal -3 binary64)))
(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
(/.f64 t (*.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))

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

eval227.0ms (0.2%)

Memory: 13.1MiB live, 434.1MiB allocated
Compiler: Compiled 21 709 to 1 568 computations (92.8% saved)

prune240.0ms (0.2%)

Memory

-5.5MiB live, 456.3MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1 737	2	1 739
Fresh	1	8	9
Picked	1	4	5
Done	2	5	7
Total	1 741	19	1 760

Accuracy

100.0%

Counts

1 760 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 (.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 y z)) x))
	64.8%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
✓	56.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
✓	64.5%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	40.9%	#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z))
✓	37.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
✓	37.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
	35.4%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))))
	73.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
✓	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
	35.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))))
✓	40.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
	35.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))
	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 t #s(literal 1/3 binary64))))
	62.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 (-.f64 t (.f64 y y)) y))))
✓	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
✓	40.9%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
✓	34.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))

Compiler

Compiled 582 to 245 computations (57.9% saved)

regimes70.0ms (0.1%)

Memory

-26.4MiB live, 131.4MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

12.0ms	x
12.0ms	z
12.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
11.0ms	(*.f64 z #s(literal 3 binary64))
10.0ms	y

Results

Accuracy	Segments	Branch
96.1%	1	`x`
99.4%	3	`y`
97.9%	2	`z`
98.3%	2	`t`
97.8%	2	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
97.9%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes33.0ms (0%)

Memory

31.0MiB live, 69.8MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))

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

Calls

3 calls:

11.0ms	(*.f64 z #s(literal 3 binary64))
10.0ms	t
10.0ms	z

Results

Accuracy	Segments	Branch
97.9%	2	`z`
97.9%	2	`(*.f64 z #s(literal 3 binary64))`
97.9%	2	`t`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes23.0ms (0%)

Memory

-33.8MiB live, 44.2MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))

(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))

Calls

2 calls:

10.0ms	z
9.0ms	(*.f64 z #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
97.9%	2	`z`
97.9%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes48.0ms (0%)

Memory

15.3MiB live, 95.2MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	z
9.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
9.0ms	y
9.0ms	t
9.0ms	(*.f64 z #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
96.1%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
96.1%	1	`y`
96.1%	1	`t`
96.1%	1	`z`
96.1%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes54.0ms (0%)

Memory

-14.2MiB live, 104.8MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	y
9.0ms	(*.f64 z #s(literal 3 binary64))
8.0ms	z
8.0ms	x
8.0ms	t

Results

Accuracy	Segments	Branch
96.0%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
96.0%	1	`x`
96.0%	1	`y`
96.0%	1	`z`
96.0%	1	`(*.f64 z #s(literal 3 binary64))`
96.0%	1	`t`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes45.0ms (0%)

Memory

15.0MiB live, 92.8MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))) t))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (*.f64 t #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 (.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 y z)) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)))

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))

#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x))

#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))

Calls

6 calls:

8.0ms	x
8.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
7.0ms	y
7.0ms	t
7.0ms	z

Results

Accuracy	Segments	Branch
85.9%	3	`x`
89.6%	3	`y`
84.1%	3	`z`
83.2%	4	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
84.1%	3	`(*.f64 z #s(literal 3 binary64))`
83.6%	3	`t`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes26.0ms (0%)

Memory

17.2MiB live, 56.3MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z)))

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))

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

#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))

Calls

6 calls:

5.0ms	(*.f64 z #s(literal 3 binary64))
4.0ms	y
4.0ms	x
4.0ms	t
4.0ms	z

Results

Accuracy	Segments	Branch
64.8%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
71.6%	3	`t`
64.8%	1	`z`
64.8%	1	`(*.f64 z #s(literal 3 binary64))`
64.8%	1	`x`
80.9%	3	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes7.0ms (0%)

Memory

-32.7MiB live, 9.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64)))

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))

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

#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.8%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))

Outputs

#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))

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

#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.3%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))

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

Calls

3 calls:

3.0ms	y
3.0ms	t
3.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Results

Accuracy	Segments	Branch
64.8%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
64.8%	1	`t`
64.8%	1	`y`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes15.0ms (0%)

Memory

-6.6MiB live, 32.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))

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

Calls

6 calls:

3.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
2.0ms	t
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
40.9%	1	`t`
40.9%	1	`x`
40.9%	1	`y`
40.9%	1	`z`
40.9%	1	`(*.f64 z #s(literal 3 binary64))`
40.9%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes13.0ms (0%)

Memory

-8.0MiB live, 31.1MiB allocated

Accuracy

Total -0.3b remaining (-0.8%)

Threshold costs -0.3b (-0.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

3.0ms	y
2.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	z
2.0ms	t
2.0ms	x

Results

Accuracy	Segments	Branch
40.9%	1	`z`
40.9%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
40.9%	1	`(*.f64 z #s(literal 3 binary64))`
40.9%	1	`y`
40.9%	1	`t`
40.9%	1	`x`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch4.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	2.0660384044325406e+26	3.573507442104689e+27

Samples

2.0ms

32×

valid

Compiler

Compiled 102 to 72 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0941721389325886e+73	4.3129907169905363e+80

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1625620882881933e-19	2.207220430243929e-17

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch25.0ms (0%)

Memory

8.7MiB live, 47.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.592685401121305e-70	1.6050030980608322e-65
10.0ms	-1.4658754233379846e+80	-4.957246979645866e+79

Samples

15.0ms

208×

valid

Compiler

Compiled 360 to 239 computations (33.6% saved)

Precisions

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

ival-mult: 4.0ms (43.8% of total)

ival-div: 3.0ms (32.9% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0%)

Memory

-21.9MiB live, 57.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6841602039914238e-96	2.9308467044517647e-95
17.0ms	-2.5575016144292665e-47	-1.4590330603335055e-56

Samples

21.0ms

256×

valid

Compiler

Compiled 422 to 290 computations (31.3% saved)

Precisions

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

ival-div: 4.0ms (40.1% of total)

ival-mult: 4.0ms (40.1% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6841602039914238e-96	2.9308467044517647e-95
1.0ms	-2.5575016144292665e-47	-1.4590330603335055e-56

Samples

6.0ms

96×

valid

Compiler

Compiled 422 to 290 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (27% of total)

ival-mult: 1.0ms (27% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.6841602039914238e-96	2.9308467044517647e-95
1.0ms	-2.5575016144292665e-47	-1.4590330603335055e-56

Compiler

Compiled 422 to 290 computations (31.3% saved)

simplify1.0s (0.9%)

Memory

-14.9MiB live, 1 857.5MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`distribute-lft-neg-in_binary64`
250×	`unsub-neg_binary64`
208×	`neg-mul-1_binary64`
144×	`cancel-sign-sub_binary64`
144×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	504
1	113	504
2	143	504
3	176	504
4	211	504
5	253	504
6	327	504
7	516	504
8	794	504
9	919	504
10	1001	504
11	1050	504
12	1064	504
13	1078	504
14	1082	504
15	1083	504

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1000000000000000013287555072 binary64)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x)) #s(approx (- x (/ (- y (/ t y)) ( z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 7815949715471317/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))

Outputs
(if (<=.f64 t #s(literal 1000000000000000013287555072 binary64)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 t #s(literal 1000000000000000013287555072 binary64)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (.f64 y #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 y (*.f64 z #s(literal 3 binary64))))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 y (*.f64 z #s(literal 3 binary64))))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x))
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x)) #s(approx (- x (/ (- y (/ t y)) ( z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 7815949715471317/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z)))) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)))

Samples

394.0ms	3 162×	0	valid
31.0ms	54×	2	valid

Compiler

Compiled 77 976 to 57 967 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-div: 83.0ms (27.1% of total)

const: 73.0ms (23.8% of total)

ival-mult: 66.0ms (21.5% of total)

ival-add: 30.0ms (9.8% of total)

ival-if: 18.0ms (5.9% of total)

ival-sub: 15.0ms (4.9% of total)

ival-<=: 11.0ms (3.6% of total)

adjust: 4.0ms (1.3% of total)

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

exact: 3.0ms (1% of total)

ival-assert: 2.0ms (0.7% of total)

soundness1.3s (1.2%)

Memory

38.6MiB live, 945.7MiB allocated

Rules

10 462×	`lower-fma.f64`
10 462×	`lower-fma.f32`
10 320×	`lower-fma.f64`
10 320×	`lower-fma.f32`
8 548×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	4852
1	600	4780
2	1705	4615
3	5608	4408
0	8255	4156
0	102	1412
1	307	1322
2	875	1322
3	2795	1262
4	6348	1262
0	8216	1196
0	33	164
0	53	163
1	236	145
2	2762	145
0	9053	145
0	11	42
0	17	42
1	69	42
2	861	38
0	9318	37

Stop Event

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

Compiler

Compiled 742 to 349 computations (53% saved)

preprocess114.0ms (0.1%)

Memory: -24.8MiB live, 215.2MiB allocated
Compiler: Compiled 600 to 182 computations (69.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze133.0ms (0.1%)

sample889.0ms (0.8%)

explain132.0ms (0.1%)

preprocess245.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify484.0ms (0.4%)

localize34.0ms (0%)

series22.0ms (0%)

simplify8.3s (7.5%)

rewrite293.0ms (0.3%)

eval64.0ms (0.1%)

prune101.0ms (0.1%)

simplify1.4s (1.2%)

localize106.0ms (0.1%)

series46.0ms (0%)

simplify27.0s (24.3%)

rewrite324.0ms (0.3%)

eval260.0ms (0.2%)

prune275.0ms (0.2%)

simplify1.3s (1.2%)

localize110.0ms (0.1%)

series28.0ms (0%)

simplify24.4s (21.9%)

rewrite318.0ms (0.3%)

eval161.0ms (0.1%)

prune218.0ms (0.2%)

simplify1.2s (1.1%)

localize92.0ms (0.1%)

series30.0ms (0%)

simplify39.6s (35.6%)

rewrite288.0ms (0.3%)

eval227.0ms (0.2%)

prune240.0ms (0.2%)

regimes70.0ms (0.1%)

regimes33.0ms (0%)

regimes23.0ms (0%)

regimes48.0ms (0%)

regimes54.0ms (0%)

regimes45.0ms (0%)

regimes26.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0%)

regimes15.0ms (0%)

regimes13.0ms (0%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0%)

bsearch33.0ms (0%)

bsearch12.0ms (0%)

bsearch2.0ms (0%)

simplify1.0s (0.9%)

soundness1.3s (1.2%)

preprocess114.0ms (0.1%)

end0.0ms (0%)

Profiling