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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze424.0ms (4.1%)

Memory

2.3MiB live, 159.5MiB 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)

sample1.4s (14%)

Memory

41.7MiB live, 1 490.5MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 775.0ms

ival-div: 455.0ms (58.7% of total)

ival-mult: 187.0ms (24.1% of total)

ival-add: 72.0ms (9.3% of total)

ival-sub: 47.0ms (6.1% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain200.0ms (1.9%)

Memory

-0.1MiB live, 199.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`
1	-	-	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
0	-	-	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`
0	-	-	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`t`
0	-	-	`z`
0	-	-	`(*.f64 z #s(literal 3 binary64))`
0	-	-	`(.f64 (.f64 z #s(literal 3 binary64)) y)`
0	-	-	`y`
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	13	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	underflow	36
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/o	1	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	29
`+.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	30
↳	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`	overflow	30
↳	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	overflow	47
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	14	0
-	1	241

Precision

0.9333333333333333

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	1	0	241

Precision?

0.9333333333333333

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 117 to 37 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 10.0ms (44.2% of total)

ival-mult: 7.0ms (31% of total)

ival-sub: 3.0ms (13.3% of total)

ival-add: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess243.0ms (2.4%)

Memory

-45.8MiB live, 129.8MiB 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 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(+.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)

simplify175.0ms (1.7%)

Memory

27.3MiB live, 109.0MiB 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 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
x
(/.f64 y (*.f64 z #s(literal 3 binary64)))
(/.f64 y (*.f64 #s(literal 3 binary64) z))
y
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
(/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y))
t
(.f64 (.f64 z #s(literal 3 binary64)) y)
(.f64 (.f64 #s(literal 3 binary64) z) y)

localize28.0ms (0.3%)

Memory

-22.6MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 y (*.f64 z #s(literal 3 binary64)))
accuracy	0.18359375	(.f64 (.f64 z #s(literal 3 binary64)) y)
accuracy	0.2578104358302058	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
accuracy	6.977766978486544	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))

Samples

22.0ms

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 (41.1% of total)

ival-mult: 3.0ms (30.8% of total)

ival-sub: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Memory

11.6MiB live, 48.2MiB 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 (- x (* 1/3 (/ y z))) (taylor 0 t) (#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 t) (#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 t) (#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 t) (#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 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 (-.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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 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 (-.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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 -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)) (* 1/3 y)) z) (taylor 0 z) (#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)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#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)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#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)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#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 0 z) (#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 (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#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 (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#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 (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#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 (* 1/3 (/ y z)) (taylor 0 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 0 z) (#s(alt (/.f64 y (.f64 z #s(literal 3 binary64))) (patch (/.f64 y (.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#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 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 (* -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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#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 (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#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 (* 1/3 (/ y z)) (taylor -inf y) (#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 y) (#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 y) (#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 y) (#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 (/ 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 -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 (- (* 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 (* -1/3 (/ y z)) (taylor 0 x) (#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 (- x (* 1/3 (/ y z))) (taylor 0 x) (#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 (- x (* 1/3 (/ y z))) (taylor 0 x) (#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 (- x (* 1/3 (/ y z))) (taylor 0 x) (#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 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 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#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 (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#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 (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#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 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 x (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
3.0ms	y	@	0	((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms	z	@	0	((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms	z	@	inf	((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms	z	@	-inf	((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))

simplify174.0ms (1.7%)

Memory

-7.6MiB live, 181.9MiB 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	1348
1	307	1262
2	876	1262
3	2799	1262
4	6352	1262
0	8213	1196

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

Calls

Call 1

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

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

rewrite265.0ms (2.6%)

Memory

-1.5MiB live, 319.7MiB 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 (.f64 (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))))
(.f64 (-.f64 (/.f64 (.f64 t t) (.f64 (.f64 y z) (.f64 #s(literal 9 binary64) (.f64 z y)))) (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 t (.f64 (*.f64 #s(literal 3 binary64) z) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(.f64 (.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)) x))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) x)))))
(.f64 (.f64 (neg.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z)))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (/.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 y z) (.f64 #s(literal 9 binary64) (.f64 z y))) (.f64 (.f64 #s(literal 3 binary64) z) y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (-.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))))
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(.f64 (.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))))
(.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))))
(.f64 (fma.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (-.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))) (.f64 (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (-.f64 (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))) #s(literal -1 binary64))
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(.f64 #s(literal 3 binary64) (.f64 y z))
(.f64 z (neg.f64 (.f64 #s(literal -3 binary64) y)))
(.f64 z (.f64 #s(literal 3 binary64) y))
(.f64 y (.f64 #s(literal 3 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -3 binary64) z) y)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) z) y) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 3 binary64) z) y) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal -3 binary64) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -3 binary64) z) y))

eval60.0ms (0.6%)

Memory: 46.8MiB live, 159.2MiB allocated
Compiler: Compiled 14 647 to 1 065 computations (92.7% saved)

prune128.0ms (1.2%)

Memory

-36.7MiB live, 162.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	534	14	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	535	14	549

Accuracy

100.0%

Counts

549 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
▶	94.9%	(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y))))
	95.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (.f64 (*.f64 #s(literal 3 binary64) z) y))))
▶	95.8%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
	94.6%	(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
	94.6%	(+.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) z) y))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	65.9%	(+.f64 #s(approx (- x (/ y (* z 3))) (.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	95.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
	61.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	64.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
	87.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x))
▶	66.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
	36.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
▶	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 448 to 292 computations (34.8% saved)

simplify178.0ms (1.7%)

Memory

20.6MiB live, 92.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 112×	`lower-fma.f32`
2 106×	`lower-fma.f64`
1 152×	`lower-*.f32`
1 142×	`lower-*.f64`
592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	204
0	53	199
1	106	191
2	201	191
3	341	191
4	739	191
5	1786	191
6	3616	191
7	3963	191
8	4171	191
9	4287	191
10	4291	191
11	4291	191
12	4339	191
13	4339	191
14	4339	191
15	4375	191
16	4539	191
17	4539	191
0	4539	185

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize303.0ms (2.9%)

Memory

-2.9MiB live, 196.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y))))
accuracy	0.18359375	(.f64 (.f64 #s(literal 3 binary64) z) y)
accuracy	0.34765625	(/.f64 #s(literal -1/3 binary64) z)
accuracy	6.977766978486544	(/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y))
accuracy	0	(*.f64 y z)
accuracy	0.171875	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
accuracy	0.3320291858302058	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
accuracy	6.986919100177096	(/.f64 t (*.f64 y z))
accuracy	0	(-.f64 y (/.f64 t y))
accuracy	0.26171875	(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
accuracy	2.6422679872809134	(/.f64 (-.f64 y (/.f64 t y)) z)
accuracy	19.03204285819091	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
accuracy	0	(/.f64 y z)
accuracy	0.30078125	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
accuracy	43.30020780044578	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
accuracy	0	(-.f64 y (/.f64 t y))
accuracy	0	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	2.7953518581217276	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))

Samples

225.0ms

256×

valid

Compiler

Compiled 194 to 35 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 54.0ms (62.3% of total)

ival-div: 17.0ms (19.6% of total)

const: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.8% of total)

ival-sub: 3.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.6%)

Memory

26.7MiB live, 135.3MiB allocated

Counts

20 → 672

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (/ t (* y z)) (* y z) (+ (* -1/3 (/ y z)) x) (+ (* (/ -1/3 z) y) (+ x (/ t (* (* 3 z) y)))) (+ x (/ t (* (* 3 z) y))) (/ -1/3 z) (/ t (* (* 3 z) y)) (* 3 z) (* (* 3 z) y))
7.0ms	y	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (/ t (* y z)) (* y z) (+ (* -1/3 (/ y z)) x) (+ (* (/ -1/3 z) y) (+ x (/ t (* (* 3 z) y)))) (+ x (/ t (* (* 3 z) y))) (/ -1/3 z) (/ t (* (* 3 z) y)) (* 3 z) (* (* 3 z) y))
3.0ms	z	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (/ t (* y z)) (* y z) (+ (* -1/3 (/ y z)) x) (+ (* (/ -1/3 z) y) (+ x (/ t (* (* 3 z) y)))) (+ x (/ t (* (* 3 z) y))) (/ -1/3 z) (/ t (* (* 3 z) y)) (* 3 z) (* (* 3 z) y))
3.0ms	y	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (/ t (* y z)) (* y z) (+ (* -1/3 (/ y z)) x) (+ (* (/ -1/3 z) y) (+ x (/ t (* (* 3 z) y)))) (+ x (/ t (* (* 3 z) y))) (/ -1/3 z) (/ t (* (* 3 z) y)) (* 3 z) (* (* 3 z) y))
3.0ms	z	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (/ t (* y z)) (* y z) (+ (* -1/3 (/ y z)) x) (+ (* (/ -1/3 z) y) (+ x (/ t (* (* 3 z) y)))) (+ x (/ t (* (* 3 z) y))) (/ -1/3 z) (/ t (* (* 3 z) y)) (* 3 z) (* (* 3 z) y))

simplify161.0ms (1.6%)

Memory

15.8MiB live, 212.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 130×	`lower-fma.f64`
6 130×	`lower-fma.f32`
4 414×	`lower-*.f64`
4 414×	`lower-*.f32`
1 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	5374
1	656	4778
2	1895	4772
3	6072	4772
0	8197	4521

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 637

Calls

Call 1

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

rewrite261.0ms (2.5%)

Memory

-35.0MiB live, 365.7MiB allocated

Rules

6 226×	`lower-fma.f32`
6 220×	`lower-fma.f64`
5 172×	`lower-/.f32`
5 158×	`lower-/.f64`
3 594×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	166
0	53	161
1	263	153
2	2628	153
0	8205	147

Stop Event

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

Counts

20 → 1 432

Calls

Call 1

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

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

eval366.0ms (3.5%)

Memory: 43.2MiB live, 663.3MiB allocated
Compiler: Compiled 53 044 to 2 919 computations (94.5% saved)

prune332.0ms (3.2%)

Memory

-51.3MiB live, 454.4MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	2 206	16	2 222
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	2 215	21	2 236

Accuracy

100.0%

Counts

2 236 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
✓	95.8%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
▶	64.5%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (.f64 #s(literal -1/3 binary64) (/.f64 t (.f64 z y)))))
	65.9%	(+.f64 #s(approx (- x (/ y (* z 3))) (.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	64.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
	61.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
	64.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64)))
	66.7%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
▶	66.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
	32.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
	66.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1/3 binary64) (/.f64 z (-.f64 y (/.f64 t y)))))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 z y))))
	87.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x))
	36.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
▶	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
	66.6%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
▶	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) z)))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 525 to 347 computations (33.9% saved)

simplify201.0ms (1.9%)

Memory

24.8MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 176×	`lower-fma.f32`
2 174×	`lower-fma.f64`
1 184×	`lower-*.f32`
1 172×	`lower-*.f64`
592×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	207
0	50	203
1	97	191
2	186	191
3	332	188
4	802	188
5	2210	188
6	3284	188
7	3712	188
8	3867	188
9	3901	188
10	3921	188
11	3944	188
12	3944	188
13	3964	188
14	3972	188
15	3972	188
16	4008	188
17	4148	188
18	4148	188
19	4148	188
0	4148	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (1.3%)

Memory

17.3MiB live, 137.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y (/.f64 t y))
accuracy	0.5131185838253817	(*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y)))
accuracy	2.7523831081217276	(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)
accuracy	19.03204285819091	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
accuracy	0	(*.f64 z y)
accuracy	0.265625	(.f64 #s(literal -1/3 binary64) (/.f64 t (.f64 z y)))
accuracy	6.986919100177096	(/.f64 t (*.f64 z y))
accuracy	29.51489173744453	#s(approx (/ (- y (/ t y)) (* 3 z)) (.f64 #s(literal -1/3 binary64) (/.f64 t (.f64 z y))))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.26953125	(.f64 (.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) z))
accuracy	0.3046875	(*.f64 #s(literal -1/3 binary64) y)
accuracy	43.30020780044578	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) z)))
accuracy	0.203125	(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
accuracy	0.34765625	(/.f64 #s(literal -1/3 binary64) z)
accuracy	43.30020780044578	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
accuracy	0	(/.f64 t y)
accuracy	0	(-.f64 y (/.f64 t y))
accuracy	0.34765625	(/.f64 #s(literal -1/3 binary64) z)
accuracy	2.6700717133265854	(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)

Samples

113.0ms

256×

valid

Compiler

Compiled 170 to 32 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 72.0ms (75.6% of total)

ival-div: 14.0ms (14.7% of total)

const: 4.0ms (4.2% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (0.9%)

Memory

-4.0MiB live, 73.8MiB allocated

Counts

18 → 564

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	t	@	0	((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (* (* -1/3 y) (/ 1 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 y) (/ 1 z) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (* -1/3 (/ t (* z y))) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* z y))
2.0ms	y	@	-inf	((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (* (* -1/3 y) (/ 1 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 y) (/ 1 z) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (* -1/3 (/ t (* z y))) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* z y))
2.0ms	z	@	-inf	((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (* (* -1/3 y) (/ 1 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 y) (/ 1 z) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (* -1/3 (/ t (* z y))) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* z y))
2.0ms	t	@	-inf	((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (* (* -1/3 y) (/ 1 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 y) (/ 1 z) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (* -1/3 (/ t (* z y))) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* z y))
2.0ms	t	@	inf	((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (* (* -1/3 y) (/ 1 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 y) (/ 1 z) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (* -1/3 (/ t (* z y))) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* z y))

simplify164.0ms (1.6%)

Memory

2.7MiB live, 156.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 910×	`lower-fma.f64`
9 910×	`lower-fma.f32`
4 220×	`lower-*.f64`
4 220×	`lower-*.f32`
1 770×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	4771
1	563	4259
2	1625	4243
3	5329	4183
0	8360	3992

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 541

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

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

rewrite235.0ms (2.3%)

Memory

18.4MiB live, 247.9MiB allocated

Rules

5 784×	`lower-/.f32`
5 774×	`lower-/.f64`
5 370×	`lower-fma.f32`
5 368×	`lower-fma.f64`
3 702×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	175
0	50	171
1	207	156
2	1836	156
0	8405	156

Stop Event

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

Counts

18 → 708

Calls

Call 1

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

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

eval165.0ms (1.6%)

Memory: 10.6MiB live, 389.5MiB allocated
Compiler: Compiled 23 845 to 1 713 computations (92.8% saved)

prune267.0ms (2.6%)

Memory

3.7MiB live, 477.8MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 364	7	1 371
Fresh	7	7	14
Picked	2	3	5
Done	0	2	2
Total	1 373	19	1 392

Accuracy

100.0%

Counts

1 392 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
✓	95.8%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
	64.9%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) z)))
▶	64.5%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y))))
	64.5%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (neg.f64 t) (.f64 (.f64 #s(literal 3 binary64) z) y))))
	61.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
	64.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
	66.6%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
▶	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64)))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
▶	36.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) z))
▶	32.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) z) y)))
▶	87.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x))
	36.5%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) z)))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 423 to 280 computations (33.8% saved)

simplify113.0ms (1.1%)

Memory

0.7MiB live, 160.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 t y) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64)))
cost-diff	0	(/.f64 #s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) z)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) z))
cost-diff	0	(*.f64 #s(literal -1/3 binary64) t)
cost-diff	0	(/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y))
cost-diff	0	#s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y)))
cost-diff	0	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 t (*.f64 z y))
cost-diff	0	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 #s(literal -3 binary64) z)
cost-diff	0	(/.f64 y (*.f64 #s(literal -3 binary64) z))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 z x))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x))
cost-diff	640	(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x)

Rules

7 092×	`lower-fma.f32`
7 090×	`lower-fma.f64`
3 650×	`lower-*.f32`
3 636×	`lower-*.f64`
1 624×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	273
0	60	273
1	116	261
2	256	261
3	532	261
4	1516	255
5	6247	255
0	8134	249

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.1%)

Memory

-13.6MiB live, 99.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5092123338253817	(*.f64 (/.f64 t y) #s(literal 1/3 binary64))
accuracy	2.7523831081217276	(/.f64 #s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) z)
accuracy	19.03204285819091	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) z))
accuracy	29.97332300271047	#s(approx (* -1/3 (- y (/ t y))) (*.f64 (/.f64 t y) #s(literal 1/3 binary64)))
accuracy	0	(*.f64 z y)
accuracy	0.328125	(*.f64 #s(literal -1/3 binary64) t)
accuracy	7.007395738254986	(/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y))
accuracy	29.51489173744453	#s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y)))
accuracy	0	(*.f64 z y)
accuracy	0.265625	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
accuracy	6.986919100177096	(/.f64 t (*.f64 z y))
accuracy	38.40261870258698	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
accuracy	0	(*.f64 #s(literal -3 binary64) z)
accuracy	0.18359375	(/.f64 y (*.f64 #s(literal -3 binary64) z))
accuracy	43.30020780044578	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
accuracy	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x))
accuracy	0.5516277478999612	(/.f64 #s(literal 1/3 binary64) (*.f64 z x))
accuracy	2.949259649185974	(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64))
accuracy	6.239723752954872	(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) x)

Samples

67.0ms

256×

valid

Compiler

Compiled 204 to 38 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 18.0ms (37.4% of total)

ival-div: 16.0ms (33.3% of total)

const: 7.0ms (14.6% of total)

ival-sub: 4.0ms (8.3% of total)

ival-add: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series72.0ms (0.7%)

Memory

-46.7MiB live, 85.0MiB allocated

Counts

19 → 660

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	((* (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) x) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) (/ 1/3 (* z x)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (- x (/ (- y (/ t y)) (* 3 z))) (* (/ t (* z y)) 1/3) (/ t (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (/ (* -1/3 t) (* z y)) (* -1/3 t) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* (/ t y) 1/3))
8.0ms	z	@	inf	((* (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) x) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) (/ 1/3 (* z x)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (- x (/ (- y (/ t y)) (* 3 z))) (* (/ t (* z y)) 1/3) (/ t (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (/ (* -1/3 t) (* z y)) (* -1/3 t) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* (/ t y) 1/3))
3.0ms	t	@	-inf	((* (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) x) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) (/ 1/3 (* z x)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (- x (/ (- y (/ t y)) (* 3 z))) (* (/ t (* z y)) 1/3) (/ t (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (/ (* -1/3 t) (* z y)) (* -1/3 t) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* (/ t y) 1/3))
3.0ms	t	@	inf	((* (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) x) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) (/ 1/3 (* z x)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (- x (/ (- y (/ t y)) (* 3 z))) (* (/ t (* z y)) 1/3) (/ t (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (/ (* -1/3 t) (* z y)) (* -1/3 t) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* (/ t y) 1/3))
3.0ms	z	@	0	((* (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) x) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ 1/3 (* z x)) (- (/ t y) y)) 1) (/ 1/3 (* z x)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (- x (/ (- y (/ t y)) (* 3 z))) (* (/ t (* z y)) 1/3) (/ t (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (/ (* -1/3 t) (* z y)) (* -1/3 t) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (* -1/3 (- y (/ t y))) z) (* -1/3 (- y (/ t y))) (* (/ t y) 1/3))

simplify187.0ms (1.8%)

Memory

40.5MiB live, 192.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 412×	`lower-fma.f64`
6 412×	`lower-fma.f32`
3 846×	`lower-*.f64`
3 846×	`lower-*.f32`
1 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	7168
1	701	6892
2	2116	6868
3	6068	5212
0	8307	4945

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 636

Calls

Call 1

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

rewrite197.0ms (1.9%)

Memory

-21.8MiB live, 321.3MiB allocated

Rules

5 316×	`lower-/.f32`
5 304×	`lower-/.f64`
5 112×	`lower-fma.f32`
5 110×	`lower-fma.f64`
4 198×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	234
0	60	234
1	251	222
2	2304	222
0	8753	218

Stop Event

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

Counts

19 → 469

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) (-.f64 (.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (-.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64)) x) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z)))))
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z)))))
(fma.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (*.f64 x z))) x))
(fma.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (*.f64 x z)))))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))) x))
(+.f64 (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal 1 binary64)) x))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))))))
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (*.f64 x z))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z)))) (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (*.f64 x z))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (*.f64 x z)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (*.f64 x z)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z)))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (*.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (*.f64 x z)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 x z))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (*.f64 x z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)) #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (*.f64 x z))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) (.f64 x z)))) (/.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (.f64 (.f64 x z) (.f64 x z)))) (fma.f64 (.f64 (.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 (.f64 x z) (.f64 x z)) (*.f64 x z))) #s(literal 1 binary64)))))
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eval311.0ms (3%)

Memory: 27.8MiB live, 274.2MiB allocated
Compiler: Compiled 15 041 to 1 178 computations (92.2% saved)

prune521.0ms (5%)

Memory

-26.2MiB live, 209.3MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 123	8	1 131
Fresh	3	6	9
Picked	2	3	5
Done	0	5	5
Total	1 128	22	1 150

Accuracy

100.0%

Counts

1 150 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
✓	95.8%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
	64.9%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) z)))
✓	64.5%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y))))
	61.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
	64.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
	39.8%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (.f64 t #s(literal 1/3 binary64)) (.f64 y z)))
	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) z) y)))
	66.6%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
✓	36.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
	36.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 y z))))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64)))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
✓	32.3%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) z) y)))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) z)))
	59.8%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) (fma.f64 (/.f64 y (*.f64 z x)) #s(literal -1/3 binary64) #s(literal 1 binary64))) x))
	30.8%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x))
✓	32.2%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 715 to 287 computations (59.9% saved)

regimes138.0ms (1.3%)

Memory

6.4MiB live, 122.6MiB allocated

Counts

46 → 2

Calls

Call 1

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

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

Calls

6 calls:

34.0ms	t
32.0ms	x
31.0ms	y
13.0ms	(*.f64 z #s(literal 3 binary64))
13.0ms	z

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`y`
98.4%	2	`z`
99.1%	2	`t`
99.8%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
98.4%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes102.0ms (1%)

Memory

-8.9MiB live, 122.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	x
19.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
16.0ms	(*.f64 z #s(literal 3 binary64))
11.0ms	z
11.0ms	t

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`y`
95.8%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
95.8%	1	`z`
95.8%	1	`(*.f64 z #s(literal 3 binary64))`
95.8%	1	`t`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes90.0ms (0.9%)

Memory

17.8MiB live, 54.4MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

37.0ms	y
11.0ms	(*.f64 z #s(literal 3 binary64))
10.0ms	x
10.0ms	z
10.0ms	t

Results

Accuracy	Segments	Branch
95.7%	1	`z`
95.7%	1	`(*.f64 z #s(literal 3 binary64))`
95.7%	1	`x`
95.7%	1	`y`
95.7%	1	`t`
95.7%	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)

regimes235.0ms (2.3%)

Memory

14.0MiB live, 87.5MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

109.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
86.0ms	(*.f64 z #s(literal 3 binary64))
10.0ms	z
9.0ms	x
9.0ms	t

Results

Accuracy	Segments	Branch
87.8%	4	`z`
87.8%	4	`(*.f64 z #s(literal 3 binary64))`
80.6%	3	`x`
90.6%	3	`y`
82.6%	5	`t`
85.2%	5	`(+.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)

regimes96.0ms (0.9%)

Memory

-33.8MiB live, 11.5MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

95.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.2%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.3%)

Memory

17.7MiB live, 55.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

8.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
5.0ms	z
5.0ms	(*.f64 z #s(literal 3 binary64))
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
71.7%	5	`t`
65.8%	3	`x`
67.1%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
61.2%	1	`z`
61.2%	1	`(*.f64 z #s(literal 3 binary64))`
77.5%	3	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
77.5%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes31.0ms (0.3%)

Memory

-6.8MiB live, 31.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	y
4.0ms	t
4.0ms	x
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
61.2%	1	`x`
61.2%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
61.2%	1	`t`
61.2%	1	`y`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes43.0ms (0.4%)

Memory

-0.6MiB live, 36.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

28.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
3.0ms	(*.f64 z #s(literal 3 binary64))
3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
45.7%	3	`x`
41.9%	5	`t`
47.7%	3	`z`
47.7%	3	`(*.f64 z #s(literal 3 binary64))`
41.8%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
48.1%	3	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.1%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes31.0ms (0.3%)

Memory

-30.9MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	t
1.0ms	(*.f64 z #s(literal 3 binary64))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
30.8%	1	`t`
30.8%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
30.8%	1	`x`
30.8%	1	`z`
30.8%	1	`(*.f64 z #s(literal 3 binary64))`
30.8%	1	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch11.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	-2.707974777890945e-48	-8.751689968464866e-50

Samples

6.0ms

96×

valid

Compiler

Compiled 226 to 156 computations (31% saved)

Precisions

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

ival-div: 1.0ms (28.4% of total)

ival-mult: 1.0ms (28.4% 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)

bsearch48.0ms (0.5%)

Memory

8.0MiB live, 43.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	27047331027.041332	46093968007.89521
39.0ms	-1.2618952783233737e+40	-1.7103184102306056e+30

Samples

14.0ms

224×

valid

Compiler

Compiled 400 to 270 computations (32.5% saved)

Precisions

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

ival-div: 3.0ms (35.3% of total)

ival-mult: 3.0ms (35.3% of total)

ival-sub: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	27047331027.041332	46093968007.89521
1.0ms	-1.2618952783233737e+40	-1.7103184102306056e+30

Compiler

Compiled 400 to 270 computations (32.5% saved)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	27047331027.041332	46093968007.89521
1.0ms	-1.2618952783233737e+40	-1.7103184102306056e+30

Compiler

Compiled 386 to 256 computations (33.7% saved)

bsearch65.0ms (0.6%)

Memory

10.6MiB live, 47.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	7.862425140186857e-112	1.3483863065557477e-107
13.0ms	-1.7500745938498485e-98	-3.8684656980868225e-101

Samples

53.0ms

256×

valid

Compiler

Compiled 422 to 290 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 40.0ms (85.4% of total)

ival-div: 4.0ms (8.5% of total)

ival-sub: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.862425140186857e-112	1.3483863065557477e-107
1.0ms	-1.7500745938498485e-98	-3.8684656980868225e-101

Compiler

Compiled 422 to 290 computations (31.3% saved)

bsearch75.0ms (0.7%)

Memory

2.4MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	27047331027.041332	46093968007.89521
70.0ms	-1.0323667382915314e+66	-7.665361954767562e+48

Samples

66.0ms

192×

valid

Compiler

Compiled 316 to 228 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.7% of total)

ival-mult: 2.0ms (28.5% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	27047331027.041332	46093968007.89521
1.0ms	-1.0323667382915314e+66	-7.665361954767562e+48

Compiler

Compiled 316 to 228 computations (27.8% saved)

simplify45.0ms (0.4%)

Memory

-23.8MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`unsub-neg_binary64`
254×	`distribute-lft-neg-in_binary64`
218×	`neg-mul-1_binary64`
148×	`cancel-sign-sub_binary64`
134×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	646
1	113	646
2	134	646
3	159	646
4	193	646
5	233	646
6	286	646
7	427	646
8	678	646
9	855	646
10	947	646
11	1031	646
12	1060	646
13	1085	646
14	1094	646

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal -4113761393303015/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) (-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) t) y) z))) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) (-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -5319270836513255/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 5923061480360627/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (.f64 t #s(literal 1/3 binary64)) (.f64 y z))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -5319270836513255/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 5923061480360627/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(if (<=.f64 y #s(literal -3800000000000000093120652670073247906119044931749985554268160 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (.f64 #s(literal -3 binary64) z))) (if (<=.f64 y #s(literal 42000000000 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))))
(if (<=.f64 y #s(literal -3800000000000000093120652670073247906119044931749985554268160 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(literal -1/3 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 42000000000 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x))

Outputs
(if (<=.f64 t #s(literal -4113761393303015/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))))
(if (<=.f64 t #s(literal -4113761393303015/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (fma.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 #s(literal 3 binary64) z))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) (-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (/.f64 (.f64 #s(literal -1/3 binary64) t) y) z))) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) (-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (/.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 z y)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -1220000000000000054658539787911168 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 38000000000 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -5319270836513255/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 5923061480360627/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (.f64 t #s(literal 1/3 binary64)) (.f64 y z))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -5319270836513255/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 5923061480360627/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 z y))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -5319270836513255/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 5923061480360627/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(if (<=.f64 y #s(literal -3800000000000000093120652670073247906119044931749985554268160 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (.f64 #s(literal -3 binary64) z))) (if (<=.f64 y #s(literal 42000000000 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))))
(if (<=.f64 y #s(literal -3800000000000000093120652670073247906119044931749985554268160 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 #s(literal -1/3 binary64) (/.f64 y z))) (if (<=.f64 y #s(literal 42000000000 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -3800000000000000093120652670073247906119044931749985554268160 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 y z) #s(literal -1/3 binary64))) (if (<=.f64 y #s(literal 42000000000 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) 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 #s(approx (+ ( (/ 1/3 (* z x)) (- (/ t y) y)) 1) #s(literal 1 binary64)) x))

soundness1.5s (14.1%)

Memory

5.6MiB live, 1 221.2MiB allocated

Rules

10 462×	`lower-fma.f64`
10 462×	`lower-fma.f32`
10 320×	`lower-fma.f64`
10 320×	`lower-fma.f32`
6 744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	166
0	53	161
1	263	153
2	2628	153
0	8205	147
0	43	234
0	60	234
1	251	222
2	2304	222
0	8753	218
0	11	42
0	17	42
1	69	42
2	861	38
0	9318	37
0	102	1348
1	307	1262
2	876	1262
3	2799	1262
4	6352	1262
0	8213	1196
0	220	5374
1	656	4778
2	1895	4772
3	6072	4772
0	8197	4521
0	236	7168
1	701	6892
2	2116	6868
3	6068	5212
0	8307	4945
0	35	175
0	50	171
1	207	156
2	1836	156
0	8405	156

Stop Event

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

Compiler

Compiled 770 to 348 computations (54.8% saved)

preprocess203.0ms (2%)

Memory: -26.2MiB live, 211.5MiB allocated
Compiler: Compiled 618 to 172 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze424.0ms (4.1%)

sample1.4s (14%)

explain200.0ms (1.9%)

preprocess243.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify175.0ms (1.7%)

localize28.0ms (0.3%)

series25.0ms (0.2%)

simplify174.0ms (1.7%)

rewrite265.0ms (2.6%)

eval60.0ms (0.6%)

prune128.0ms (1.2%)

simplify178.0ms (1.7%)

localize303.0ms (2.9%)

series64.0ms (0.6%)

simplify161.0ms (1.6%)

rewrite261.0ms (2.5%)

eval366.0ms (3.5%)

prune332.0ms (3.2%)

simplify201.0ms (1.9%)

localize132.0ms (1.3%)

series93.0ms (0.9%)

simplify164.0ms (1.6%)

rewrite235.0ms (2.3%)

eval165.0ms (1.6%)

prune267.0ms (2.6%)

simplify113.0ms (1.1%)

localize114.0ms (1.1%)

series72.0ms (0.7%)

simplify187.0ms (1.8%)

rewrite197.0ms (1.9%)

eval311.0ms (3%)

prune521.0ms (5%)

regimes138.0ms (1.3%)

regimes102.0ms (1%)

regimes90.0ms (0.9%)

regimes235.0ms (2.3%)

regimes96.0ms (0.9%)

regimes7.0ms (0.1%)

regimes36.0ms (0.3%)

regimes6.0ms (0.1%)

regimes31.0ms (0.3%)

regimes43.0ms (0.4%)

regimes2.0ms (0%)

regimes31.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch48.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch65.0ms (0.6%)

bsearch2.0ms (0%)

bsearch75.0ms (0.7%)

bsearch1.0ms (0%)

simplify45.0ms (0.4%)

soundness1.5s (14.1%)

preprocess203.0ms (2%)

end0.0ms (0%)

Profiling