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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze126.0ms (1.4%)

Memory

8.0MiB live, 311.8MiB 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)

sample1.3s (14.2%)

Memory

68.3MiB live, 1 797.4MiB allocated

Samples

818.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 450.0ms

ival-div: 200.0ms (44.5% of total)

ival-mult: 140.0ms (31.1% of total)

ival-sub: 62.0ms (13.8% of total)

ival-add: 34.0ms (7.6% of total)

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

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain196.0ms (2.1%)

Memory

-4.5MiB live, 266.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
21	1	(4.645984717727069e+35 3.1824253555315004e+226 -8.505425664035514e+293 1.762133577305863e+198)	-	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`
1	0	-	-	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`
0	0	-	-	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`t`
0	0	-	-	`z`
0	0	-	-	`(*.f64 z #s(literal 3 binary64))`
0	0	-	-	`(.f64 (.f64 z #s(literal 3 binary64)) y)`
0	0	-	-	`y`
0	0	-	-	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/u	11	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	underflow	27

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 7.0ms (32.6% of total)

ival-mult: 7.0ms (32.6% of total)

ival-add: 4.0ms (18.6% of total)

ival-sub: 2.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess238.0ms (2.6%)

Memory

-9.8MiB live, 85.3MiB 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 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify160.0ms (1.7%)

Memory

8.9MiB live, 81.8MiB 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)

localize50.0ms (0.5%)

Memory

-15.7MiB live, 100.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
accuracy	0.19921875	(.f64 (.f64 z #s(literal 3 binary64)) y)
accuracy	0.4139744120514647	(/.f64 y (*.f64 z #s(literal 3 binary64)))
accuracy	4.931058468991998	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))

Samples

43.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

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

ival-div: 3.0ms (32.2% of total)

ival-mult: 3.0ms (32.2% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

11.8MiB live, 48.1MiB 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>) () ())) ())
#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>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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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 (* 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
14.0ms	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	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))
2.0ms	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))
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))

simplify165.0ms (1.8%)

Memory

-0.1MiB live, 265.1MiB 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) (/.f64 y z) x) t) (/.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) (/.f64 y z) x) t) (/.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) (/.f64 y z) x) t) (/.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) (/.f64 y z) x) t) (/.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) (/.f64 y z) x) t) (/.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) (/.f64 y z) x) t) (/.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 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #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 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #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)

rewrite289.0ms (3.1%)

Memory

2.3MiB live, 335.8MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval103.0ms (1.1%)

Memory: 6.7MiB live, 159.0MiB allocated
Compiler: Compiled 13 304 to 1 076 computations (91.9% saved)

prune34.0ms (0.4%)

Memory

14.4MiB live, 52.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	539	9	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	540	9	549

Accuracy

100.0%

Counts

549 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
▶	96.1%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
	95.7%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 #s(literal 3 binary64) y) z)))
▶	96.1%	#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))
	65.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
	61.4%	#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))
	67.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 184 to 176 computations (4.3% saved)

simplify184.0ms (2%)

Memory

-7.1MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
cost-diff	0	(*.f64 y z)
cost-diff	896	(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	(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
cost-diff	0	#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))
cost-diff	-384	(/.f64 t (*.f64 z y))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
cost-diff	384	(.f64 (/.f64 t (.f64 z y)) #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: 3 (0.0ms)

Iter	Nodes	Cost
0	32	202
0	50	201
1	97	189
2	190	189
3	321	183
4	716	183
5	1775	183
6	3645	183
7	4015	183
8	4229	183
9	4345	183
10	4349	183
11	4349	183
12	4397	183
13	4397	183
14	4397	183
15	4433	183
16	4609	183
17	4609	183
0	4609	183

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

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

localize159.0ms (1.7%)

Memory

-14.4MiB live, 212.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.08203125	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
accuracy	0.1171875	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
accuracy	4.900163974961126	(/.f64 t (*.f64 y z))
accuracy	0	#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))
accuracy	0.00390625	(-.f64 y (/.f64 t y))
accuracy	0.13671875	(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
accuracy	2.4549072795727778	(/.f64 (-.f64 y (/.f64 t y)) z)
accuracy	0	(*.f64 z y)
accuracy	0.27734375	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
accuracy	4.900163974961126	(/.f64 t (*.f64 z y))
accuracy	39.83220377554891	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
accuracy	0	(/.f64 y z)
accuracy	0.23828125	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
accuracy	41.54028531112041	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.00390625	(-.f64 y (/.f64 t y))
accuracy	0.0078125	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
accuracy	2.783382181614885	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))

Samples

97.0ms

256×

valid

Compiler

Compiled 183 to 33 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

const: 33.0ms (46.6% of total)

ival-div: 17.0ms (24% of total)

ival-mult: 13.0ms (18.3% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1.1%)

Memory

-6.0MiB live, 154.9MiB allocated

Counts

19 → 660

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

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	y	@	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) (* (/ t (* z y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ (- y (/ t y)) z) -1/3) x) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (* y z) (+ (* -1/3 (/ y z)) x) (* 3 z) (/ t (* y z)))
5.0ms	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) (* (/ t (* z y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ (- y (/ t y)) z) -1/3) x) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (* y z) (+ (* -1/3 (/ y z)) x) (* 3 z) (/ t (* y z)))
4.0ms	t	@	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) (* (/ t (* z y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ (- y (/ t y)) z) -1/3) x) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (* y z) (+ (* -1/3 (/ y z)) x) (* 3 z) (/ t (* y z)))
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) (* (/ t (* z y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ (- y (/ t y)) z) -1/3) x) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (* y z) (+ (* -1/3 (/ y z)) x) (* 3 z) (/ t (* y z)))
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) (* (/ t (* z y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ (- y (/ t y)) z) -1/3) x) (/ (- y (/ t y)) z) (+ (* (/ t (* y z)) 1/3) (+ (* -1/3 (/ y z)) x)) (* y z) (+ (* -1/3 (/ y z)) x) (* 3 z) (/ t (* y z)))

simplify179.0ms (1.9%)

Memory

-5.0MiB live, 311.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 838×	`lower-fma.f64`
13 838×	`lower-fma.f32`
4 302×	`lower-*.f64`
4 302×	`lower-*.f32`
1 914×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	5440
1	604	4852
2	1725	4840
3	5369	4768
0	8634	4516

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 628

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

rewrite297.0ms (3.2%)

Memory

-9.6MiB live, 345.6MiB allocated

Rules

7 782×	`lower-fma.f32`
7 776×	`lower-fma.f64`
5 010×	`lower-/.f32`
5 000×	`lower-/.f64`
3 868×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	50	167
1	227	155
2	2295	149
0	9082	149

Stop Event

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

Counts

19 → 1 236

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

Outputs
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eval300.0ms (3.2%)

Memory: 17.8MiB live, 521.7MiB allocated
Compiler: Compiled 39 729 to 3 085 computations (92.2% saved)

prune86.0ms (0.9%)

Memory

12.8MiB live, 209.7MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 990	14	2 004
Fresh	4	0	4
Picked	2	3	5
Done	0	0	0
Total	1 996	17	2 013

Accuracy

100.0%

Counts

2 013 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.1%	(fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) #s(approx (+ ( -1/3 (/ y z)) x) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))))
✓	96.1%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
	63.7%	(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
	65.1%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (*.f64 (/.f64 y z) #s(literal 1/3 binary64))))
	63.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
	65.1%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
▶	67.1%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)))
	38.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) z) y))
▶	38.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 z y)))
	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
▶	35.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 259 to 285 computations (-10% saved)

simplify170.0ms (1.8%)

Memory

20.0MiB live, 92.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 t z)
cost-diff	0	(*.f64 (/.f64 t z) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
cost-diff	384	(/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y)
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) y)
cost-diff	0	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
cost-diff	128	(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
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 (/.f64 t y) y)
cost-diff	0	(/.f64 (-.f64 (/.f64 t y) y) z)
cost-diff	0	(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)))

Rules

2 112×	`lower-fma.f64`
2 112×	`lower-fma.f32`
1 152×	`lower-*.f32`
1 140×	`lower-*.f64`
600×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	201
0	54	199
1	101	183
2	193	183
3	372	183
4	745	183
5	1731	183
6	3096	183
7	3506	183
8	3685	183
9	3754	183
10	3759	183
11	3774	183
12	3846	183
13	3902	183
14	3914	183
15	3914	183
16	3914	183
17	3914	183
0	3914	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize171.0ms (1.8%)

Memory

-12.4MiB live, 182.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 t z)
accuracy	0.30078125	(*.f64 (/.f64 t z) #s(literal 1/3 binary64))
accuracy	5.902748353219322	(/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y)
accuracy	39.83220377554891	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.19921875	(.f64 (.f64 z #s(literal 3 binary64)) y)
accuracy	4.931058468991998	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
accuracy	39.83220377554891	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
accuracy	0	(neg.f64 y)
accuracy	0.19921875	(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
accuracy	0.37109375	(/.f64 #s(literal 1/3 binary64) z)
accuracy	41.54028531112041	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
accuracy	0	(*.f64 #s(literal -3 binary64) z)
accuracy	0.4139744120514647	(/.f64 y (*.f64 #s(literal -3 binary64) z))
accuracy	41.54028531112041	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
accuracy	0.00390625	(-.f64 (/.f64 t y) y)
accuracy	0.2578125	(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))
accuracy	2.4549072795727778	(/.f64 (-.f64 (/.f64 t y) y) z)
accuracy	19.236469848154595	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)))

Samples

108.0ms

256×

valid

Compiler

Compiled 164 to 31 computations (81.1% saved)

Precisions

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

ival-div: 27.0ms (56.2% of total)

ival-mult: 10.0ms (20.8% of total)

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

const: 3.0ms (6.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory

-26.7MiB live, 81.3MiB allocated

Counts

19 → 576

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (* (/ (- (/ t y) y) z) 1/3) (/ (- (/ t y) y) z) (- (/ t y) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ t (* (* z 3) y)) (* (* z 3) y) (* z 3) (/ (* (/ t z) 1/3) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ t z) 1/3) (/ t z))
3.0ms	z	@	0	((- x (/ (- y (/ t y)) (* 3 z))) (* (/ (- (/ t y) y) z) 1/3) (/ (- (/ t y) y) z) (- (/ t y) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ t (* (* z 3) y)) (* (* z 3) y) (* z 3) (/ (* (/ t z) 1/3) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ t z) 1/3) (/ t z))
3.0ms	z	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (* (/ (- (/ t y) y) z) 1/3) (/ (- (/ t y) y) z) (- (/ t y) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ t (* (* z 3) y)) (* (* z 3) y) (* z 3) (/ (* (/ t z) 1/3) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ t z) 1/3) (/ t z))
2.0ms	t	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (* (/ (- (/ t y) y) z) 1/3) (/ (- (/ t y) y) z) (- (/ t y) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ t (* (* z 3) y)) (* (* z 3) y) (* z 3) (/ (* (/ t z) 1/3) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ t z) 1/3) (/ t z))
2.0ms	t	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (* (/ (- (/ t y) y) z) 1/3) (/ (- (/ t y) y) z) (- (/ t y) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ t (* (* z 3) y)) (* (* z 3) y) (* z 3) (/ (* (/ t z) 1/3) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ t z) 1/3) (/ t z))

simplify183.0ms (2%)

Memory

27.6MiB live, 103.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 870×	`lower-fma.f64`
11 870×	`lower-fma.f32`
4 410×	`lower-*.f64`
4 410×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	4439
1	525	4292
2	1559	4276
3	5027	4216
0	8596	4031

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 556

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

rewrite437.0ms (4.7%)

Memory

-10.9MiB live, 223.3MiB allocated

Rules

7 478×	`lower-fma.f64`
7 478×	`lower-fma.f32`
5 044×	`lower-/.f32`
5 030×	`lower-/.f64`
4 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	180
0	54	178
1	212	162
2	1928	162
0	8311	157

Stop Event

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

Counts

19 → 705

Calls

Call 1

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

Outputs
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eval487.0ms (5.2%)

Memory: -14.7MiB live, 272.2MiB allocated
Compiler: Compiled 14 606 to 1 886 computations (87.1% saved)

prune142.0ms (1.5%)

Memory

22.2MiB live, 137.4MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 256	5	1 261
Fresh	4	5	9
Picked	2	3	5
Done	1	2	3
Total	1 263	15	1 278

Accuracy

100.0%

Counts

1 278 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.7%	(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
	65.1%	(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (*.f64 (/.f64 y z) #s(literal 1/3 binary64))))
▶	63.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
▶	65.1%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
▶	67.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
	58.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 (-.f64 t (.f64 y y)) y)) z) #s(literal 1/3 binary64)))
✓	38.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
✓	35.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
	35.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) y) z)))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
▶	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 208 to 229 computations (-10.1% saved)

simplify186.0ms (2%)

Memory

-11.9MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2 112×	`lower-fma.f32`
2 108×	`lower-fma.f64`
1 152×	`lower-*.f32`
1 144×	`lower-*.f64`
592×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	191
0	51	191
1	97	183
2	189	183
3	311	183
4	628	183
5	1489	183
6	3172	183
7	3556	183
8	3755	183
9	3844	183
10	3851	183
11	3851	183
12	3899	183
13	3927	183
14	3927	183
15	3927	183
16	3963	183
17	4113	183
18	4113	183
0	4113	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.1%)

Memory

14.8MiB live, 239.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.13671875	(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
accuracy	4.900163974961126	(/.f64 t (*.f64 z y))
accuracy	20.815371380514286	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
accuracy	0	(*.f64 z y)
accuracy	0.7458565151364778	(/.f64 #s(literal 1/3 binary64) (*.f64 z y))
accuracy	4.583778531652991	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))
accuracy	39.83220377554891	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))))
accuracy	0	(/.f64 y z)
accuracy	0.1171875	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
accuracy	22.313452613202166	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
accuracy	0.37109375	(/.f64 #s(literal -1/3 binary64) z)
accuracy	41.54028531112041	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 (/.f64 t y) y)
accuracy	2.783382181614885	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))
accuracy	19.236469848154595	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))

Samples

83.0ms

256×

valid

Compiler

Compiled 155 to 33 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 23.0ms (36.4% of total)

ival-div: 22.0ms (34.8% of total)

const: 10.0ms (15.8% of total)

ival-sub: 4.0ms (6.3% of total)

ival-add: 3.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.5%)

Memory

-5.8MiB live, 155.3MiB allocated

Counts

18 → 600

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	t	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- (/ t y) y) (* z 3)) (- (/ t y) y) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* -1/3 (/ y z)) x) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* t (/ 1/3 (* z y))) (/ 1/3 (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* (/ t (* z y)) 1/3) x) (/ t (* z y)) (* z 3))
3.0ms	y	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- (/ t y) y) (* z 3)) (- (/ t y) y) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* -1/3 (/ y z)) x) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* t (/ 1/3 (* z y))) (/ 1/3 (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* (/ t (* z y)) 1/3) x) (/ t (* z y)) (* z 3))
3.0ms	z	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- (/ t y) y) (* z 3)) (- (/ t y) y) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* -1/3 (/ y z)) x) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* t (/ 1/3 (* z y))) (/ 1/3 (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* (/ t (* z y)) 1/3) x) (/ t (* z y)) (* z 3))
2.0ms	z	@	inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- (/ t y) y) (* z 3)) (- (/ t y) y) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* -1/3 (/ y z)) x) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* t (/ 1/3 (* z y))) (/ 1/3 (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* (/ t (* z y)) 1/3) x) (/ t (* z y)) (* z 3))
2.0ms	y	@	-inf	((- x (/ (- y (/ t y)) (* 3 z))) (/ (- (/ t y) y) (* z 3)) (- (/ t y) y) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* -1/3 (/ y z)) x) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* t (/ 1/3 (* z y))) (/ 1/3 (* z y)) (* z y) (- x (/ (- y (/ t y)) (* 3 z))) (+ (* (/ t (* z y)) 1/3) x) (/ t (* z y)) (* z 3))

simplify152.0ms (1.6%)

Memory

3.2MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 090×	`lower-fma.f64`
10 090×	`lower-fma.f32`
4 112×	`lower-*.f64`
4 112×	`lower-*.f32`
2 062×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	4214
1	521	4211
2	1546	4205
3	5400	4205
0	8250	3957

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 568

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

rewrite171.0ms (1.8%)

Memory

-32.4MiB live, 283.4MiB allocated

Rules

8 020×	`lower-fma.f32`
8 016×	`lower-fma.f64`
5 064×	`lower-/.f32`
5 052×	`lower-/.f64`
3 820×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	168
0	51	168
1	227	160
2	2249	160
0	8453	155

Stop Event

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

Counts

18 → 647

Calls

Call 1

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

Outputs
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eval290.0ms (3.1%)

Memory: 33.4MiB live, 300.0MiB allocated
Compiler: Compiled 15 378 to 2 072 computations (86.5% saved)

prune115.0ms (1.2%)

Memory

11.7MiB live, 133.4MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 238	3	1 241
Fresh	2	3	5
Picked	1	4	5
Done	0	5	5
Total	1 241	15	1 256

Accuracy

100.0%

Counts

1 256 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.7%	(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
✓	63.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
	65.0%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x))
✓	67.2%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
	58.5%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(approx (- (/ t y) y) (/.f64 (-.f64 t (.f64 y y)) y)) (.f64 z #s(literal 3 binary64))))
	65.1%	#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))
✓	38.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
✓	35.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
	35.1%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) y) z)))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))))
✓	35.0%	#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Compiler

Compiled 417 to 242 computations (42% saved)

regimes107.0ms (1.1%)

Memory

-14.0MiB live, 108.0MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#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 #s(literal -1/3 binary64) z) y x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))
(-.f64 x #s(approx (/ (- y (/ t y)) (* 3 z)) (*.f64 (/.f64 y z) #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))))
#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))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) y) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 z y)))
#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))) (/.f64 (*.f64 (/.f64 t z) #s(literal 1/3 binary64)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) z) y))
#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 (/ t y)) (* 3 z))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#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 (/ t y)) (* 3 z))) (.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 (-.f64 t (.f64 y y)) y)) z) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(approx (- (/ t y) y) (/.f64 (-.f64 t (.f64 y y)) y)) (.f64 z #s(literal 3 binary64))))
(fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) #s(approx (+ ( -1/3 (/ y z)) x) (*.f64 #s(literal -1/3 binary64) (/.f64 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 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 #s(literal 3 binary64) y) z)))
(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.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	y
23.0ms	(*.f64 z #s(literal 3 binary64))
19.0ms	t
10.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
96.1%	1	`x`
96.1%	1	`y`
98.3%	2	`z`
99.9%	3	`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)))`
98.3%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes155.0ms (1.7%)

Memory

-16.5MiB live, 103.6MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

50.0ms	x
47.0ms	t
30.0ms	(*.f64 z #s(literal 3 binary64))
9.0ms	z
9.0ms	y

Results

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

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes142.0ms (1.5%)

Memory

15.4MiB live, 91.9MiB allocated

Counts

25 → 1

Calls

Call 1

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

57.0ms	y
52.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
8.0ms	(*.f64 z #s(literal 3 binary64))
8.0ms	x
8.0ms	z

Results

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

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes106.0ms (1.1%)

Memory

-4.6MiB live, 87.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

46.0ms	(*.f64 z #s(literal 3 binary64))
31.0ms	t
7.0ms	x
7.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
85.4%	3	`x`
85.5%	3	`z`
81.5%	3	`t`
83.4%	5	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
85.5%	3	`(*.f64 z #s(literal 3 binary64))`
90.6%	3	`y`

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes58.0ms (0.6%)

Memory

-5.3MiB live, 72.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

26.0ms	(*.f64 z #s(literal 3 binary64))
9.0ms	x
6.0ms	y
5.0ms	z
5.0ms	t

Results

Accuracy	Segments	Branch
65.1%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
71.8%	3	`t`
69.9%	3	`x`
65.1%	1	`z`
65.1%	1	`(*.f64 z #s(literal 3 binary64))`
78.1%	3	`y`

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
78.1%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.1%)

Memory

-28.2MiB live, 11.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
78.0%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes13.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	t

Results

Accuracy	Segments	Branch
65.1%	1	`x`
65.1%	1	`t`
65.1%	1	`y`

Compiler

Compiled 3 to 12 computations (-300% saved)

regimes92.0ms (1%)

Memory

-16.6MiB live, 65.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

6 calls:

47.0ms	t
30.0ms	y
4.0ms	(*.f64 z #s(literal 3 binary64))
4.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
65.1%	1	`x`
65.1%	1	`y`
65.1%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
65.1%	1	`z`
65.1%	1	`(*.f64 z #s(literal 3 binary64))`
65.1%	1	`t`

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes15.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
35.0%	1	`x`
35.0%	1	`y`
35.0%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
35.0%	1	`z`
35.0%	1	`(*.f64 z #s(literal 3 binary64))`
35.0%	1	`t`

Compiler

Compiled 22 to 33 computations (-50% saved)

regimes32.0ms (0.3%)

Memory

-21.9MiB live, 17.9MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#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)))

Calls

6 calls:

23.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
2.0ms	t
2.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
35.0%	1	`x`
35.0%	1	`z`
35.0%	1	`(*.f64 z #s(literal 3 binary64))`
35.0%	1	`t`
35.0%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
35.0%	1	`y`

Compiler

Compiled 22 to 33 computations (-50% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.9974311573973552e-134	-1.1264519029997614e-137

Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch65.0ms (0.7%)

Memory

17.8MiB live, 55.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.171318996542473e-5	13.715849541566818
48.0ms	-6.421471236656457e+25	-1664951855054.8352

Samples

50.0ms

304×

valid

Compiler

Compiled 331 to 388 computations (-17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 35.0ms (82.6% of total)

ival-div: 4.0ms (9.4% of total)

ival-sub: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

-14.7MiB live, 28.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.038250398425948e-77	3.5860172883117166e-75
6.0ms	-1.139467660824071e-39	-7.457289600676904e-40

Samples

14.0ms

176×

valid

Compiler

Compiled 194 to 238 computations (-22.7% saved)

Precisions

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

ival-mult: 6.0ms (62.6% of total)

ival-div: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% 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

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.038250398425948e-77	3.5860172883117166e-75
0.0ms	-1.139467660824071e-39	-7.457289600676904e-40

Compiler

Compiled 194 to 238 computations (-22.7% saved)

bsearch2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.038250398425948e-77	3.5860172883117166e-75
0.0ms	-1.139467660824071e-39	-7.457289600676904e-40

Compiler

Compiled 194 to 238 computations (-22.7% saved)

simplify81.0ms (0.9%)

Memory

-19.9MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Rules

244×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
200×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
184×	`neg-mul-1-binary64-*.f64-neg.f64`
128×	`neg-sub0-binary64--.f64-neg.f64`
122×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	426
1	89	426
2	110	426
3	133	426
4	166	426
5	206	426
6	268	426
7	410	426
8	642	426
9	772	426
10	852	426
11	892	426
12	933	426
13	942	426
14	959	426

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 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 -38000000000000000 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 6198106008766409/147573952589676412928 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 (/ t y)) ( 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) y) z))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 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))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))

Outputs
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 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 (.f64 #s(literal 3 binary64) z) #s(literal -8183476519740355/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672 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 -38000000000000000 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 6198106008766409/147573952589676412928 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 (/ t y)) ( 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -38000000000000000 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 6198106008766409/147573952589676412928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) x)) #s(approx (- x (/ (- y (/ t y)) ( 3 z))) (-.f64 x (/.f64 y (*.f64 #s(literal 3 binary64) z))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 #s(literal 3 binary64) z)))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 y (.f64 #s(literal 3 binary64) z)))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 #s(literal 3 binary64) z))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 #s(literal 3 binary64) y) z))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 #s(literal 3 binary64) z)))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (/.f64 t (.f64 (.f64 y #s(literal 3 binary64)) z))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 #s(literal 3 binary64) z))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 y #s(literal -4597486622597667/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (.f64 #s(literal 3 binary64) z)))) (if (<=.f64 y #s(literal 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376 binary64)) #s(approx (+ (- x (/ y ( z 3))) (/ t (* (* z 3) y))) (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y z)) t)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 #s(literal 3 binary64) z))))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (-.f64 x (/.f64 y (*.f64 #s(literal 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 (* 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(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)))

soundness1.5s (15.7%)

Memory

25.2MiB live, 985.6MiB allocated

Rules

13 838×	`lower-fma.f64`
13 838×	`lower-fma.f32`
10 462×	`lower-fma.f64`
10 462×	`lower-fma.f32`
10 320×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	50	167
1	227	155
2	2295	149
0	9082	149
0	11	42
0	17	42
1	69	42
2	861	38
0	9318	37
0	205	5440
1	604	4852
2	1725	4840
3	5369	4768
0	8634	4516
0	102	1348
1	307	1262
2	876	1262
3	2799	1262
4	6352	1262
0	8213	1196
0	36	168
0	51	168
1	227	160
2	2249	160
0	8453	155
0	38	180
0	54	178
1	212	162
2	1928	162
0	8311	157

Stop Event

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

Compiler

Compiled 678 to 399 computations (41.2% saved)

preprocess162.0ms (1.7%)

Memory: -10.7MiB live, 144.6MiB allocated
Compiler: Compiled 474 to 166 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	75	426
1	89	426
2	110	426
3	133	426
4	166	426
5	206	426
6	268	426
7	410	426
8	642	426
9	772	426
10	852	426
11	892	426
12	933	426
13	942	426
14	959	426

Iter	Nodes	Cost
0	75	426
1	89	426
2	110	426
3	133	426
4	166	426
5	206	426
6	268	426
7	410	426
8	642	426
9	772	426
10	852	426
11	892	426
12	933	426
13	942	426
14	959	426

start0.0ms (0%)

analyze126.0ms (1.4%)

sample1.3s (14.2%)

explain196.0ms (2.1%)

preprocess238.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify160.0ms (1.7%)

localize50.0ms (0.5%)

series33.0ms (0.4%)

simplify165.0ms (1.8%)

rewrite289.0ms (3.1%)

eval103.0ms (1.1%)

prune34.0ms (0.4%)

simplify184.0ms (2%)

localize159.0ms (1.7%)

series100.0ms (1.1%)

simplify179.0ms (1.9%)

rewrite297.0ms (3.2%)

eval300.0ms (3.2%)

prune86.0ms (0.9%)

simplify170.0ms (1.8%)

localize171.0ms (1.8%)

series73.0ms (0.8%)

simplify183.0ms (2%)

rewrite437.0ms (4.7%)

eval487.0ms (5.2%)

prune142.0ms (1.5%)

simplify186.0ms (2%)

localize103.0ms (1.1%)

series49.0ms (0.5%)

simplify152.0ms (1.6%)

rewrite171.0ms (1.8%)

eval290.0ms (3.1%)

prune115.0ms (1.2%)

regimes107.0ms (1.1%)

regimes155.0ms (1.7%)

regimes142.0ms (1.5%)

regimes106.0ms (1.1%)

regimes58.0ms (0.6%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes92.0ms (1%)

regimes15.0ms (0.2%)

regimes32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch65.0ms (0.7%)

bsearch23.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify81.0ms (0.9%)

soundness1.5s (15.7%)

preprocess162.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	75	426
1	89	426
2	110	426
3	133	426
4	166	426
5	206	426
6	268	426
7	410	426
8	642	426
9	772	426
10	852	426
11	892	426
12	933	426
13	942	426
14	959	426