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

analyze134.0ms (1.2%)

Memory

-23.2MiB live, 298.1MiB 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)

sample1.0s (9.4%)

Memory

55.8MiB live, 1 740.8MiB allocated

Samples

745.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 245.0ms (52.2% of total)

ival-div: 127.0ms (27.1% of total)

ival-sub: 47.0ms (10% of total)

ival-add: 37.0ms (7.9% of total)

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

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess308.0ms (2.8%)

Memory

-20.1MiB live, 192.5MiB allocated

Algorithm

2×	egg-herbie

Rules

2 112×	`accelerator-lowering-fma.f32`
2 112×	`accelerator-lowering-fma.f64`
1 162×	`sub-neg`
1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	237
1	211	225
2	616	225
3	1722	185
4	4748	179
5	7798	179
0	11	15
1	24	15
2	63	15
3	133	15
4	321	15
5	724	13
6	2025	11
7	2718	11
8	3059	11
9	3310	11
10	3490	11
11	3506	11
12	3581	11
13	3697	11
14	3747	11
15	3759	11
16	3759	11
17	3759	11
18	3759	11
0	3759	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain140.0ms (1.3%)

Memory

18.0MiB live, 324.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
26	-	2	(-8.699800210668747e+291 -1.749253427908154e-285 1.64645489984904e-33 2.1048573038875867e-138)	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`
1	-	0	-	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
0	-	0	-	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`
0	-	0	-	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`(*.f64 z #s(literal 3 binary64))`
0	-	0	-	`(.f64 (.f64 z #s(literal 3 binary64)) y)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/u	9	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	underflow	22
`/.f64`	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	n/o	1	0
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	37
`+.f64`	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`	nan-rescue	1	0
↳	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`	overflow	37
↳	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`	overflow	37
↳	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	overflow	39
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	11	1
-	0	244

Precision

1.0

Recall

0.9166666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	1
-	0	0	244

Precision?

1.0

Recall?

0.9166666666666666

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

46.0ms

512×

valid

Compiler

Compiled 136 to 48 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.5% of total)

ival-div: 8.0ms (31.6% of total)

ival-sub: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify254.0ms (2.3%)

Memory

8.6MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
✓	cost-diff	0	(/.f64 y (*.f64 z #s(literal 3 binary64)))
✓	cost-diff	192	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
✓	cost-diff	768	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Rules

2 112×	`accelerator-lowering-fma.f32`
2 112×	`accelerator-lowering-fma.f64`
1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`
724×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	24	47
2	63	47
3	133	47
4	321	47
5	724	45
6	2025	43
7	2718	43
8	3059	43
9	3310	43
10	3490	43
11	3506	43
12	3581	43
13	3697	43
14	3747	43
15	3759	43
16	3759	43
17	3759	43
18	3759	43
0	3759	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.3%)

Memory

-9.2MiB live, 66.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 z #s(literal 3 binary64)) y)
✓	accuracy	99.7%	(/.f64 y (*.f64 z #s(literal 3 binary64)))
✓	accuracy	99.7%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
✓	accuracy	91.0%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))

Samples

19.0ms

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: 4.0ms (42.3% of total)

ival-mult: 3.0ms (31.8% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-3.6MiB live, 33.7MiB allocated

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y)))>
#<alt (- x (/ y (* z 3)))>
#<alt (/ y (* z 3))>
#<alt (/ t (* (* z 3) y))>
#<alt (* (* z 3) y)>

Outputs
#<alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt x>
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))>
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))>
#<alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)>
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)>
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)>
#<alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)>
#<alt x>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))>
#<alt (- x (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))>
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))>
#<alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1/3 (/ y z))>
#<alt (- x (* 1/3 (/ y z)))>
#<alt (- x (* 1/3 (/ y z)))>
#<alt (- x (* 1/3 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1/3 (/ y z))>
#<alt (/ (- (* x z) (* 1/3 y)) z)>
#<alt (/ (- (* x z) (* 1/3 y)) z)>
#<alt (/ (- (* x z) (* 1/3 y)) z)>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ y z))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>

Calls

42 calls:

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

rewrite583.0ms (5.4%)

Memory

11.3MiB live, 874.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 320×	`accelerator-lowering-fma.f32`
10 320×	`accelerator-lowering-fma.f64`
6 744×	`-lowering-.f32`
6 744×	`-lowering-.f64`
4 744×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	63	39
2	855	35
0	9307	34

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 335

Calls

Call 1

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

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

simplify374.0ms (3.5%)

Memory

2.3MiB live, 673.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 462×	`accelerator-lowering-fma.f32`
10 462×	`accelerator-lowering-fma.f64`
3 274×	`-lowering-.f32`
3 274×	`-lowering-.f64`
2 252×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1376
1	305	1286
2	875	1286
3	2797	1226
4	6358	1226
0	8243	1160

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval61.0ms (0.6%)

Memory: 2.7MiB live, 151.7MiB allocated
Compiler: Compiled 13 839 to 972 computations (93% saved)

prune69.0ms (0.6%)

Memory

-14.0MiB live, 180.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	489	14	503
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	14	504

Accuracy

100.0%

Counts

504 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
	95.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal 3 binary64)))) t (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
▶	61.5%	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) #s(literal 0 binary64))
	71.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
	34.4%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
▶	86.5%	(fma.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
	97.2%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
▶	29.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))
	97.3%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
	95.9%	(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
	95.9%	(+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	65.5%	(+.f64 x (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
▶	38.4%	x

Compiler

Compiled 414 to 284 computations (31.4% saved)

simplify220.0ms (2%)

Memory

15.2MiB live, 482.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (-.f64 (/.f64 t y) y) #s(literal 1 binary64))
✓	cost-diff	768	(fma.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) y)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) z)
✓	cost-diff	0	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) t)
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
✓	cost-diff	0	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	1280	(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))

Rules

4 178×	`accelerator-lowering-fma.f32`
4 178×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 758×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	141
1	76	137
2	189	129
3	529	129
4	2084	129
5	4279	129
6	6660	129
0	8146	125

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ t (* z 3)) (/ 1 y)) (+ (* (/ y z) -1/3) x))
(/ t (* z 3))
t
(* z 3)
z
3
(/ 1 y)
1
y
(+ (* (/ y z) -1/3) x)
(/ y z)
-1/3
x
x
(/ (* 1/3 t) (* y z))
(* 1/3 t)
1/3
t
(* y z)
y
z
(+ (* (/ 1/3 z) (- (/ t y) y)) 0)
(/ 1/3 z)
1/3
z
(- (/ t y) y)
(/ t y)
t
y
0
(+ (* x (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)) 0)
x
(+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)
(/ 1/3 (+ (* z x) 0))
1/3
(+ (* z x) 0)
z
0
(- (/ t y) y)
(/ t y)
t
y
1

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

localize162.0ms (1.5%)

Memory

17.4MiB live, 174.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64)))
✓	accuracy	95.9%	(fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (-.f64 (/.f64 t y) y) #s(literal 1 binary64))
✓	accuracy	89.6%	(fma.f64 x (fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (-.f64 (/.f64 t y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) z)
✓	accuracy	97.1%	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) t)
✓	accuracy	90.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
✓	accuracy	99.7%	(/.f64 t (*.f64 z #s(literal 3 binary64)))
✓	accuracy	98.2%	(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))

Samples

80.0ms

256×

valid

Compiler

Compiled 142 to 34 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 34.0ms (56.9% of total)

ival-div: 11.0ms (18.4% of total)

const: 7.0ms (11.7% of total)

ival-add: 6.0ms (10% of total)

ival-sub: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.4%)

Memory

-21.7MiB live, 69.4MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#<alt (+ (* (/ t (* z 3)) (/ 1 y)) (+ (* (/ y z) -1/3) x))>
#<alt (* z 3)>
#<alt (/ 1 y)>
#<alt (+ (* (/ y z) -1/3) x)>
#<alt (/ (* 1/3 t) (* y z))>
#<alt (* 1/3 t)>
#<alt (* y z)>
#<alt (+ (* (/ 1/3 z) (- (/ t y) y)) 0)>
#<alt (/ 1/3 z)>
#<alt (- (/ t y) y)>
#<alt (/ t y)>
#<alt (+ (* x (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)) 0)>
#<alt (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)>
#<alt (/ 1/3 (+ (* z x) 0))>
#<alt (+ (* z x) 0)>
#<alt (/ t (* z 3))>

Outputs
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (/ (+ (* -1/3 y) (* 1/3 (/ t y))) z)>
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)>
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)>
#<alt (/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z)>
#<alt x>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt x>
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))>
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))>
#<alt (+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))>
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))>
#<alt (* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1)))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1/3 (/ y z))>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* -1/3 (/ y z))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* 1/3 t)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* -1/3 (/ y z))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (/ 1/3 z)>
#<alt (* -1 y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (/ t y)>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (/ t y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (* -1 y)>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (+ (* 1/3 (/ t (* y z))) (* x (+ 1 (* -1/3 (/ y (* x z))))))>
#<alt (+ (* 1/3 (/ t (* y z))) (* x (+ 1 (* -1/3 (/ y (* x z))))))>
#<alt (+ (* 1/3 (/ t (* y z))) (* x (+ 1 (* -1/3 (/ y (* x z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)))>
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)))>
#<alt (* t (+ (* 1/3 (/ 1 (* y z))) (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* -1 (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (* x (+ 1 (* -1/3 (/ y (* x z))))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))>
#<alt (/ (+ z (* 1/3 (/ (- (/ t y) y) x))) z)>
#<alt (/ (+ z (* 1/3 (/ (- (/ t y) y) x))) z)>
#<alt (/ (+ z (* 1/3 (/ (- (/ t y) y) x))) z)>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (* 1/3 (/ (- (/ t y) y) (* x z)))>
#<alt (/ (+ x (* 1/3 (/ (- (/ t y) y) z))) x)>
#<alt (/ (+ x (* 1/3 (/ (- (/ t y) y) z))) x)>
#<alt (/ (+ x (* 1/3 (/ (- (/ t y) y) z))) x)>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))>
#<alt (+ 1 (* -1/3 (/ y (* x z))))>
#<alt (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))>
#<alt (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))>
#<alt (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))>
#<alt (* 1/3 (/ t (* x (* y z))))>
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (+ (/ 1 t) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (+ (/ 1 t) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* t (+ (* -1/3 (/ y (* t (* x z)))) (+ (/ 1 t) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* 1/3 (/ t (* x (* y z))))>
#<alt (* -1 (* t (- (* -1 (/ (+ 1 (* -1/3 (/ y (* x z)))) t)) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ 1 (* -1/3 (/ y (* x z)))) t)) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ 1 (* -1/3 (/ y (* x z)))) t)) (* 1/3 (/ 1 (* x (* y z)))))))>
#<alt (* 1/3 (/ t (* x (* y z))))>
#<alt (/ (+ y (* 1/3 (/ t (* x z)))) y)>
#<alt (/ (+ (* 1/3 (/ t (* x z))) (* y (+ 1 (* -1/3 (/ y (* x z)))))) y)>
#<alt (/ (+ (* 1/3 (/ t (* x z))) (* y (+ 1 (* -1/3 (/ y (* x z)))))) y)>
#<alt (* -1/3 (/ y (* x z)))>
#<alt (* y (- (/ 1 y) (* 1/3 (/ 1 (* x z)))))>
#<alt (* y (- (+ (* 1/3 (/ t (* x (* (pow y 2) z)))) (/ 1 y)) (* 1/3 (/ 1 (* x z)))))>
#<alt (* y (- (+ (* 1/3 (/ t (* x (* (pow y 2) z)))) (/ 1 y)) (* 1/3 (/ 1 (* x z)))))>
#<alt (* -1/3 (/ y (* x z)))>
#<alt (* -1 (* y (- (* 1/3 (/ 1 (* x z))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/3 (/ t (* x (* y z))))) y)) (* 1/3 (/ 1 (* x z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ 1 (* 1/3 (/ t (* x (* y z))))) y)) (* 1/3 (/ 1 (* x z))))))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (/ 1/3 (* x z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>
#<alt (* 1/3 (/ t z))>

Calls

111 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	(/ t (* z 3))
6.0ms	t	@	0	(+ (* (/ 1/3 z) (- (/ t y) y)) 0)
4.0ms	t	@	inf	(/ t (* z 3))
1.0ms	x	@	0	(+ (* x (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)) 0)
1.0ms	z	@	0	(+ (* x (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)) 0)

rewrite428.0ms (4%)

Memory

-2.4MiB live, 813.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 070×	`/-lowering-/.f32`
5 070×	`/-lowering-/.f64`
4 266×	`accelerator-lowering-fma.f32`
4 266×	`accelerator-lowering-fma.f64`
3 100×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	102
1	205	102
2	2232	102
0	8393	97

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 743

Calls

Call 1

Inputs
(+ (* (/ t (* z 3)) (/ 1 y)) (+ (* (/ y z) -1/3) x))
(* z 3)
(/ 1 y)
(+ (* (/ y z) -1/3) x)
(/ (* 1/3 t) (* y z))
(* 1/3 t)
(* y z)
(+ (* (/ 1/3 z) (- (/ t y) y)) 0)
(/ 1/3 z)
(- (/ t y) y)
(/ t y)
(+ (* x (+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)) 0)
(+ (* (/ 1/3 (+ (* z x) 0)) (- (/ t y) y)) 1)
(/ 1/3 (+ (* z x) 0))
(+ (* z x) 0)
(/ t (* z 3))

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

simplify392.0ms (3.6%)

Memory

5.5MiB live, 739.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 372×	`accelerator-lowering-fma.f32`
8 372×	`accelerator-lowering-fma.f64`
4 542×	`-lowering-.f32`
4 542×	`-lowering-.f64`
2 508×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	3320
1	577	3317
2	1758	3013
3	5915	3013
0	8346	2866

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval185.0ms (1.7%)

Memory: 44.9MiB live, 429.0MiB allocated
Compiler: Compiled 27 600 to 2 078 computations (92.5% saved)

prune229.0ms (2.1%)

Memory

-14.9MiB live, 300.0MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 276	12	1 288
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1 284	18	1 302

Accuracy

100.0%

Counts

1 302 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.7%	(fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 (/.f64 t y) y) x) x)
	71.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
	34.4%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
	80.9%	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) x) z) z) #s(literal 0 binary64))
	28.5%	(fma.f64 x (/.f64 (.f64 #s(literal -1/3 binary64) y) (.f64 x z)) #s(literal 0 binary64))
▶	97.2%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
	71.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
	33.3%	(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
▶	61.6%	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))
▶	31.1%	(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) t) z)
	61.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)
✓	29.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	30.0%	(/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y)))
	65.5%	(+.f64 x (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
▶	30.0%	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
	29.6%	(.f64 t (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 z y))))
▶	34.4%	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
✓	38.4%	x

Compiler

Compiled 418 to 294 computations (29.7% saved)

simplify243.0ms (2.2%)

Memory

17.7MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 z #s(literal 3 binary64))
✓	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	-64	(*.f64 (/.f64 #s(literal 1/3 binary64) y) t)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) y)
✓	cost-diff	320	(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) t) z)
✓	cost-diff	-64	(*.f64 z y)
✓	cost-diff	-64	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 t (*.f64 z y))
✓	cost-diff	-64	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 (/.f64 t y) y)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 t y) y) z)
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)

Rules

2 112×	`accelerator-lowering-fma.f32`
2 112×	`accelerator-lowering-fma.f64`
1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`
662×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	48	104
2	96	104
3	154	104
4	262	104
5	412	104
6	707	104
7	1336	104
8	3082	104
9	3813	104
10	3991	104
11	4014	104
12	4034	104
13	4041	104
14	4061	104
15	4193	104
16	4249	104
17	4249	104
18	4249	104
19	4285	104
20	4429	104
21	4429	104
22	4429	104
0	4429	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (0.8%)

Memory

-12.2MiB live, 165.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	97.1%	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) t)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	93.5%	(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) t) z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.6%	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
✓	accuracy	91.0%	(/.f64 t (*.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.6%	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.8%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
✓	accuracy	97.3%	(/.f64 (-.f64 (/.f64 t y) y) z)

Samples

59.0ms

256×

valid

Compiler

Compiled 105 to 24 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 13.0ms (41.4% of total)

ival-mult: 8.0ms (25.5% of total)

const: 7.0ms (22.3% of total)

ival-sub: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-2.1MiB live, 36.6MiB allocated

Counts

14 → 396

Calls

Call 1

Inputs
#<alt (+ (* 1/3 (/ (- (/ t y) y) z)) x)>
#<alt (/ (- (/ t y) y) z)>
#<alt (- (/ t y) y)>
#<alt (/ t y)>
#<alt (/ y z)>
#<alt (* -1/3 (/ y z))>
#<alt (/ t (* z y))>
#<alt (* (/ t (* z y)) 1/3)>
#<alt (* z y)>
#<alt (/ (* (/ 1/3 y) t) z)>
#<alt (/ 1/3 y)>
#<alt (* (/ 1/3 y) t)>
#<alt (/ (- (/ t y) y) (* z 3))>
#<alt (* z 3)>

Outputs
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (/ y z))>
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))>
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))>
#<alt (+ (* -1 (/ y z)) (/ t (* y z)))>
#<alt (/ t (* y z))>
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))>
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))>
#<alt (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))>
#<alt (/ t (* y z))>
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))>
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))>
#<alt (* -1 (* t (- (/ y (* t z)) (/ 1 (* y z)))))>
#<alt (/ t (* y z))>
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)>
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)>
#<alt (/ (+ (* -1 (/ (pow y 2) z)) (/ t z)) y)>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))>
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))>
#<alt (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))))>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (/ (- (/ t y) y) z)>
#<alt (* -1 y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (/ t y)>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (/ t y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (* -1 y)>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ t y)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (/ t (* y z))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* 1/3 (/ t y))>
#<alt (* -1/3 (/ y z))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	t	@	0	(* (/ 1/3 y) t)
2.0ms	y	@	0	(/ 1/3 y)
0.0ms	t	@	-inf	(/ t (* z y))
0.0ms	t	@	-inf	(* (/ 1/3 y) t)
0.0ms	y	@	-inf	(/ y z)

rewrite475.0ms (4.4%)

Memory

-2.3MiB live, 893.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 318×	`accelerator-lowering-fma.f32`
7 318×	`accelerator-lowering-fma.f64`
5 114×	`-lowering-.f32`
5 114×	`-lowering-.f64`
3 354×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	76
1	112	76
2	872	76
0	8924	75

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 065

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) x)
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
(+.f64 (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 z z)) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (+.f64 x (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z)))) (/.f64 y (*.f64 z #s(literal -3 binary64))))
(-.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64))))
(-.f64 (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z))) (-.f64 (/.f64 y (*.f64 z #s(literal 3 binary64))) x))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 z z)) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal -3 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 z z)) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal -3 binary64))))))
(-.f64 (+.f64 x (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z)))) (/.f64 y (*.f64 z #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 t (.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal 1/3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 t (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 t (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 t (*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1 binary64) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 t (*.f64 y (-.f64 #s(literal 0 binary64) z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 y (/.f64 t y)) (neg.f64 (/.f64 #s(literal 1/3 binary64) z)) x)
(fma.f64 (-.f64 y (/.f64 t y)) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 t y)) (/.f64 #s(literal -1 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 3 binary64) (.f64 y z)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1/3 binary64) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal -1 binary64) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (.f64 (/.f64 #s(literal -1 binary64) (.f64 y z)) #s(literal 1/3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 z (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))))) x)
(fma.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t)) (.f64 z #s(literal 3 binary64)))) x)
(fma.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 t t) (*.f64 y y)) (fma.f64 y y t))) (/.f64 #s(literal 1/3 binary64) z)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t z) #s(literal 3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 y (/.f64 t y))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) (.f64 #s(literal 1/3 binary64) t) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 z (+.f64 y (/.f64 t y))))) x)
(fma.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) x)
(fma.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (/.f64 #s(literal 1/3 binary64) z)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal 1 binary64) (.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64))) x)
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (/.f64 t (.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (fma.f64 (/.f64 t y) (.f64 z #s(literal 3 binary64)) (.f64 (.f64 z #s(literal -3 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z z) #s(literal 9 binary64))) x)
(fma.f64 (.f64 t #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) (.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 #s(literal -1/3 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)) (neg.f64 (/.f64 #s(literal 1/3 binary64) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (/.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 t (.f64 y z)) (/.f64 t (.f64 y z))) #s(literal 1/9 binary64) (.f64 (/.f64 y (.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y z) (/.f64 t (.f64 #s(literal 3 binary64) (.f64 y z))))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) x)
(fma.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 t y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (.f64 (.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/3 binary64) z) (+.f64 y (/.f64 t y)))) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 t z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(fma.f64 (/.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 t t) (*.f64 y y)) (fma.f64 y y t))) x)
(fma.f64 (/.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) x)
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(*.f64 (-.f64 y (/.f64 t y)) (neg.f64 (/.f64 #s(literal 1/3 binary64) z)))
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(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 y (/.f64 t y))) #s(literal -1 binary64)))
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(.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y (/.f64 t y)) (.f64 z #s(literal 3 binary64)))))
(.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (/.f64 #s(literal 1/3 binary64) z)))
(.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal -3 binary64))))
(.f64 (fma.f64 (/.f64 t y) (.f64 z #s(literal 3 binary64)) (.f64 (.f64 z #s(literal -3 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) #s(literal 9 binary64))))
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(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)))
(.f64 (.f64 (.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (+.f64 y (/.f64 t y)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))) (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))))
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(.f64 (/.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64)))
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(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))))
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(.f64 (/.f64 (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t)) (.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))))
(.f64 (/.f64 (+.f64 y (/.f64 t y)) (.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (+.f64 y (/.f64 t y))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) z))
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(.f64 (.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -3 binary64)))
(neg.f64 (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z))
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -3 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) z))

simplify346.0ms (3.2%)

Memory

-17.5MiB live, 695.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 824×	`accelerator-lowering-fma.f32`
7 824×	`accelerator-lowering-fma.f64`
4 004×	`-lowering-.f32`
4 004×	`-lowering-.f64`
2 350×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	2585
1	389	2498
2	1168	2410
3	3525	2386
4	6791	2386
0	8147	2344

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

eval197.0ms (1.8%)

Memory: -8.3MiB live, 350.7MiB allocated
Compiler: Compiled 24 998 to 2 397 computations (90.4% saved)

prune245.0ms (2.3%)

Memory

32.7MiB live, 385.3MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 577	9	1 586
Fresh	7	4	11
Picked	1	4	5
Done	0	2	2
Total	1 585	19	1 604

Accuracy

100.0%

Counts

1 604 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) x)
	71.3%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
	65.9%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 t y) z) x)
	65.4%	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
▶	71.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
	34.5%	(/.f64 (/.f64 y z) #s(literal -3 binary64))
	33.3%	(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
✓	61.6%	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))
✓	31.1%	(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) t) z)
	34.5%	(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
✓	29.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	34.5%	(/.f64 y (*.f64 z #s(literal -3 binary64)))
▶	30.0%	(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
	30.0%	(/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y)))
✓	30.0%	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
▶	34.4%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
▶	29.7%	(.f64 t (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 3 binary64)))))
✓	34.4%	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
✓	38.4%	x

Compiler

Compiled 344 to 250 computations (27.3% saved)

simplify245.0ms (2.3%)

Memory

-19.2MiB live, 154.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	-64	(.f64 y (.f64 z #s(literal 3 binary64)))
✓	cost-diff	-64	(.f64 t (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 3 binary64)))))
✓	cost-diff	384	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal 3 binary64))))
✓	cost-diff	-64	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	-64	(.f64 y (.f64 z #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
✓	cost-diff	-64	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) z)
✓	cost-diff	0	(-.f64 (/.f64 t y) y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	320	(/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64))
✓	cost-diff	384	(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) x)

Rules

2 112×	`accelerator-lowering-fma.f32`
2 112×	`accelerator-lowering-fma.f64`
1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`
854×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	55	107
2	112	104
3	275	104
4	673	104
5	1354	104
6	2615	104
7	3643	104
8	4078	104
9	4245	104
10	4256	104
11	4256	104
12	4268	104
13	4268	104
14	4268	104
15	4304	104
16	4470	104
17	4470	104
0	4470	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize339.0ms (3.1%)

Memory

2.0MiB live, 119.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 y (.f64 z #s(literal 3 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal 3 binary64))))
✓	accuracy	90.5%	(.f64 t (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 3 binary64)))))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 y (.f64 z #s(literal 3 binary64)))
✓	accuracy	91.0%	(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.8%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	accuracy	99.5%	(/.f64 #s(literal -1/3 binary64) z)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64))
✓	accuracy	97.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) x)

Samples

148.0ms

256×

valid

Compiler

Compiled 110 to 27 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

const: 105.0ms (80.9% of total)

ival-div: 12.0ms (9.2% of total)

ival-mult: 8.0ms (6.2% of total)

ival-add: 2.0ms (1.5% of total)

ival-sub: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

13 → 336

Calls

Call 1

Inputs
#<alt (+ (* (/ -1 z) (/ (- (/ t y) y) -3)) x)>
#<alt (/ (- (/ t y) y) -3)>
#<alt (/ -1 z)>
#<alt (- (/ t y) y)>
#<alt (/ -1/3 z)>
#<alt (* y (/ -1/3 z))>
#<alt (+ (* -1/3 (/ y z)) x)>
#<alt (/ y z)>
#<alt (/ t (* y (* z 3)))>
#<alt (* y (* z 3))>
#<alt (* z 3)>
#<alt (/ 1 (* y (* z 3)))>
#<alt (* t (/ 1 (* y (* z 3))))>

Outputs
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt (/ (+ (* 1/3 (- (/ t y) y)) (* x z)) z)>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (/ (+ (* 1/3 (/ t z)) (* x y)) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))>
#<alt (* 1/3 (/ (- (/ t y) y) z))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt (+ x (* 1/3 (/ (- (/ t y) y) z)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1)))>
#<alt (* 1/3 y)>
#<alt (+ (* -1/3 (/ t y)) (* 1/3 y))>
#<alt (+ (* -1/3 (/ t y)) (* 1/3 y))>
#<alt (+ (* -1/3 (/ t y)) (* 1/3 y))>
#<alt (* -1/3 (/ t y))>
#<alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))>
#<alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))>
#<alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))>
#<alt (* -1/3 (/ t y))>
#<alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))>
#<alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))>
#<alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))>
#<alt (* -1/3 (/ t y))>
#<alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)>
#<alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)>
#<alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)>
#<alt (* 1/3 y)>
#<alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))>
#<alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))>
#<alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))>
#<alt (* 1/3 y)>
#<alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))>
#<alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))>
#<alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (* -1 y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (- (/ t y) y)>
#<alt (/ t y)>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (* t (+ (* -1 (/ y t)) (/ 1 y)))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (* -1 (* t (- (/ y t) (/ 1 y))))>
#<alt (/ t y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (/ (+ t (* -1 (pow y 2))) y)>
#<alt (* -1 y)>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* y (- (/ t (pow y 2)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ t (pow y 2))))))>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (/ -1/3 z)>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1/3 (/ y z))>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* -1/3 (/ y z))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* y (- (/ x y) (* 1/3 (/ 1 z))))>
#<alt (* -1/3 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))>
#<alt (* -1/3 (/ y z))>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt (/ (+ (* -1/3 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt x>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (* -1/3 (/ y z))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt (+ x (* -1/3 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1/3 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 (* y z))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (/ 1/3 (* y z))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>
#<alt (* 1/3 (/ t (* y z)))>

Calls

84 calls:

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

rewrite939.0ms (8.7%)

Memory

-34.1MiB live, 502.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 408×	`accelerator-lowering-fma.f32`
6 408×	`accelerator-lowering-fma.f64`
5 024×	`-lowering-.f32`
5 024×	`-lowering-.f64`
3 424×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	131	74
2	1048	71
0	8656	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 590

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) x)
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64)))) (/.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (+.f64 x (.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) x)
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) x)
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
(fma.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64)) #s(literal -1 binary64) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y (/.f64 t y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 y y)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 y (/.f64 t y))) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) (-.f64 y (/.f64 t y)) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (+.f64 y (/.f64 t y))) x)
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) z) x)
(fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -3 binary64)) (-.f64 (/.f64 t y) y) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 y (.f64 y y))) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 y y)) (fma.f64 y y t))) x)
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 (.f64 t t) (.f64 y y)) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) x)
(fma.f64 (.f64 (.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1/3 binary64)) (-.f64 (/.f64 t y) y) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y (/.f64 t y)) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 #s(literal -27 binary64) (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64))) (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (.f64 x x)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y (/.f64 t y)) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 #s(literal -27 binary64) (.f64 z (.f64 z z)))))) (fma.f64 x (+.f64 x (.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64))) (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (.f64 z z))) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (-.f64 #s(literal 0 binary64) x)))) (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y (/.f64 t y)) (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) (.f64 #s(literal -27 binary64) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal -1/3 binary64))) (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y)) (.f64 #s(literal 9 binary64) (*.f64 z z))))))
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(.f64 (/.f64 t (.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 3 binary64))) (/.f64 t z))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) z) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
(.f64 (/.f64 t (.f64 z #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 z y)) (/.f64 t #s(literal -3 binary64)))
(.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -3 binary64)))))
(.f64 (/.f64 t (.f64 y (-.f64 #s(literal 0 binary64) z))) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 y (.f64 #s(literal 3 binary64) (/.f64 z t))) #s(literal -1/2 binary64)) (pow.f64 (.f64 y (*.f64 #s(literal 3 binary64) (/.f64 z t))) #s(literal -1/2 binary64)))
(.f64 (.f64 t (pow.f64 (.f64 z (.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 3 binary64) y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 t z)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y))) #s(literal 1/3 binary64))
(.f64 (.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))

simplify436.0ms (4%)

Memory

5.2MiB live, 672.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 540×	`accelerator-lowering-fma.f32`
9 540×	`accelerator-lowering-fma.f64`
3 830×	`-lowering-.f32`
3 830×	`-lowering-.f64`
1 678×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	2084
1	378	2081
2	1074	2051
3	3267	2027
4	6000	2027
0	8213	1958

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval137.0ms (1.3%)

Memory: 47.6MiB live, 337.0MiB allocated
Compiler: Compiled 14 553 to 1 549 computations (89.4% saved)

prune380.0ms (3.5%)

Memory

-81.4MiB live, 274.1MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1 003	4	1 007
Fresh	2	6	8
Picked	1	4	5
Done	0	6	6
Total	1 006	20	1 026

Accuracy

100.0%

Counts

1 026 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
	71.3%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64)) x)
	65.9%	(fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 t y) z) x)
	65.4%	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
✓	71.3%	(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
	34.5%	(/.f64 (/.f64 y z) #s(literal -3 binary64))
	33.3%	(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)
✓	61.6%	(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))
✓	31.1%	(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) t) z)
	34.5%	(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
✓	29.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	34.5%	(/.f64 y (*.f64 z #s(literal -3 binary64)))
	30.0%	(/.f64 t (.f64 (.f64 z y) #s(literal 3 binary64)))
✓	30.0%	(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
✓	30.0%	(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
	34.5%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))
✓	34.4%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	29.7%	(.f64 t (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal 3 binary64)))))
✓	34.4%	(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
✓	38.4%	x

Compiler

Compiled 581 to 259 computations (55.4% saved)

regimes85.0ms (0.8%)

Memory

2.3MiB live, 192.0MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	t
16.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
14.0ms	(*.f64 z #s(literal 3 binary64))
12.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`
98.0%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
98.0%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes69.0ms (0.6%)

Memory

23.2MiB live, 182.8MiB allocated

Counts

38 → 2

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	t
11.0ms	z
11.0ms	x
11.0ms	(*.f64 z #s(literal 3 binary64))
11.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
98.9%	2	`z`
97.3%	1	`t`
97.3%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
98.9%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes59.0ms (0.5%)

Memory

6.1MiB live, 165.3MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`t`
97.3%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
97.3%	1	`z`
97.3%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes64.0ms (0.6%)

Memory

-10.0MiB live, 156.9MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
10.0ms	z
9.0ms	y
9.0ms	(*.f64 z #s(literal 3 binary64))
9.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`t`
97.2%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
97.2%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes52.0ms (0.5%)

Memory

-19.9MiB live, 138.4MiB allocated

Counts

26 → 3

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	x
9.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
9.0ms	y
9.0ms	(*.f64 z #s(literal 3 binary64))
8.0ms	z

Results

Accuracy	Segments	Branch
85.0%	3	`x`
93.7%	3	`y`
89.1%	3	`z`
79.9%	3	`t`
90.2%	4	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
89.1%	3	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.3%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-23.2MiB live, 16.4MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))
(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
(/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y)))
(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
(/.f64 t (.f64 (.f64 z y) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
(/.f64 (/.f64 y z) #s(literal -3 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
93.3%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes36.0ms (0.3%)

Memory

4.6MiB live, 82.8MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))
(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
(/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y)))
(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
(/.f64 t (.f64 (.f64 z y) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
(/.f64 (/.f64 y z) #s(literal -3 binary64))

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

Calls

6 calls:

7.0ms	t
6.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
5.0ms	x
5.0ms	(*.f64 z #s(literal 3 binary64))
5.0ms	z

Results

Accuracy	Segments	Branch
74.4%	2	`t`
71.3%	1	`x`
71.3%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
71.3%	1	`z`
71.3%	1	`(*.f64 z #s(literal 3 binary64))`
77.7%	3	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes5.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))
(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))
(/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.7%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))
(.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.7%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-19.4MiB live, 20.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
(/.f64 y (*.f64 z #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) #s(literal 0 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -3 binary64))))

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

Calls

2 calls:

4.0ms	t
4.0ms	y

Results

Accuracy	Segments	Branch
71.3%	1	`t`
71.3%	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.1%)

Memory

6.1MiB live, 45.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
57.0%	3	`x`
59.5%	3	`z`
59.5%	3	`(*.f64 z #s(literal 3 binary64))`
56.9%	3	`y`
53.4%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
41.6%	2	`t`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes4.0ms (0%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	z

Results

Accuracy	Segments	Branch
59.4%	3	`z`
59.4%	3	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory

-22.2MiB live, 18.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	z

Results

Accuracy	Segments	Branch
59.4%	3	`z`
59.4%	3	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory

-12.3MiB live, 26.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

2.0ms	t
1.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
1.0ms	(*.f64 z #s(literal 3 binary64))
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
38.4%	1	`t`
38.4%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
38.4%	1	`y`
38.4%	1	`x`
38.4%	1	`z`
38.4%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.566648543664749e-197	5.400007581202385e-196

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch22.0ms (0.2%)

Memory

33.7MiB live, 33.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.035041479626091e+40	5.017870923640233e+40
14.0ms	-1.5709135624822933e+23	-2170023319952304.3

Samples

13.0ms

208×

valid

Compiler

Compiled 334 to 239 computations (28.4% saved)

Precisions

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

ival-div: 3.0ms (40.2% of total)

ival-mult: 3.0ms (40.2% of total)

ival-sub: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

-25.5MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.035041479626091e+40	5.017870923640233e+40
15.0ms	-1.5709135624822933e+23	-2170023319952304.3

Samples

15.0ms

208×

valid

Compiler

Compiled 347 to 252 computations (27.4% saved)

Precisions

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

ival-div: 3.0ms (34.8% of total)

ival-mult: 3.0ms (34.8% of total)

ival-add: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

-37.7MiB live, 44.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.035041479626091e+40	5.017870923640233e+40
14.0ms	-1.5709135624822933e+23	-2170023319952304.3

Samples

18.0ms

208×

valid

Compiler

Compiled 334 to 239 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.3% of total)

ival-div: 3.0ms (23.7% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

10.1MiB live, 48.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3738522502445027e-113	7.933625318496152e-113
8.0ms	-7.287853881925661e-157	-1.8465416513605085e-157

Samples

13.0ms

176×

valid

Compiler

Compiled 275 to 205 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (31.3% of total)

ival-mult: 2.0ms (31.3% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-6.0MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3738522502445027e-113	7.933625318496152e-113
8.0ms	-7.287853881925661e-157	-1.8465416513605085e-157

Samples

12.0ms

176×

valid

Compiler

Compiled 275 to 205 computations (25.5% saved)

Precisions

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

ival-div: 3.0ms (40.7% of total)

ival-sub: 2.0ms (27.1% of total)

ival-mult: 2.0ms (27.1% of total)

ival-add: 1.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

3.0MiB live, 41.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3738522502445027e-113	7.933625318496152e-113
8.0ms	-7.287853881925661e-157	-1.8465416513605085e-157

Samples

11.0ms

176×

valid

Compiler

Compiled 275 to 205 computations (25.5% saved)

Precisions

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

ival-div: 2.0ms (31.8% of total)

ival-mult: 2.0ms (31.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.158421161102444e-52	1.349754159238504e-46
0.0ms	-5.4581027413450635e+54	-1.0680208808941133e+47

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.158421161102444e-52	1.349754159238504e-46
0.0ms	-9.738924477254354e+46	-7.844599516359616e+46

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.158421161102444e-52	1.349754159238504e-46
0.0ms	-5.4581027413450635e+54	-1.0680208808941133e+47

Compiler

Compiled 20 to 18 computations (10% saved)

simplify47.0ms (0.4%)

Memory

3.8MiB live, 86.5MiB allocated

Algorithm

1×	egg-herbie

Rules

264×	`distribute-lft-neg-in_binary64`
210×	`unsub-neg_binary64`
196×	`neg-mul-1_binary64`
144×	`neg-sub0_binary64`
126×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	283
1	134	283
2	156	283
3	179	283
4	209	283
5	253	283
6	324	283
7	484	283
8	710	283
9	862	283
10	953	283
11	996	283
12	1024	283
13	1027	283

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 z #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
(if (<=.f64 y #s(literal -70000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 34999999999999999249862370072569072058368 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 t y) z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -6500000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 31999999999999998070693323891301714755584 binary64)) (+.f64 x (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -5000000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 39000000000000000822087764980925548462080 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -2705176266112081/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -7729075046034517/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -8965727053400039/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (/.f64 y (*.f64 z #s(literal -3 binary64))) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -79999999999999999451185522875761703581273554944 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) x))
x

Outputs
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (.f64 z #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (.f64 z #s(literal 3 binary64)))) (+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x)
(if (<=.f64 y #s(literal -70000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 34999999999999999249862370072569072058368 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 t y) z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -6500000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 31999999999999998070693323891301714755584 binary64)) (+.f64 x (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -5000000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 39000000000000000822087764980925548462080 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -5000000000000000000 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (if (<=.f64 y #s(literal 39000000000000000822087764980925548462080 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -2705176266112081/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -2705176266112081/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 6585090523536935/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -7729075046034517/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 t (.f64 #s(literal 3 binary64) (.f64 z y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -8965727053400039/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(if (<=.f64 y #s(literal -8965727053400039/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (if (<=.f64 y #s(literal 4332296397063773/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 z y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (/.f64 y (*.f64 z #s(literal -3 binary64))) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -79999999999999999451185522875761703581273554944 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) x))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal -5000000000000000051175335102042755748152194067662372864 binary64)) x (if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)) x))
x

soundness1.4s (12.8%)

Memory

15.2MiB live, 1 091.1MiB allocated

Rules

10 462×	`accelerator-lowering-fma.f32`
10 462×	`accelerator-lowering-fma.f64`
10 320×	`accelerator-lowering-fma.f32`
10 320×	`accelerator-lowering-fma.f64`
8 372×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1376
1	305	1286
2	875	1286
3	2797	1226
4	6358	1226
0	8243	1160
0	11	39
1	63	39
2	855	35
0	9307	34
0	32	102
1	205	102
2	2232	102
0	8393	97
0	22	76
1	112	76
2	872	76
0	8924	75
0	205	3320
1	577	3317
2	1758	3013
3	5915	3013
0	8346	2866
0	134	2585
1	389	2498
2	1168	2410
3	3525	2386
4	6791	2386
0	8147	2344

Stop Event

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

Compiler

Compiled 844 to 476 computations (43.6% saved)

preprocess86.0ms (0.8%)

Memory: 3.1MiB live, 200.2MiB allocated
Compiler: Compiled 680 to 230 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.2%)

sample1.0s (9.4%)

preprocess308.0ms (2.8%)

explain140.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify254.0ms (2.3%)

localize33.0ms (0.3%)

series17.0ms (0.2%)

rewrite583.0ms (5.4%)

simplify374.0ms (3.5%)

eval61.0ms (0.6%)

prune69.0ms (0.6%)

simplify220.0ms (2%)

localize162.0ms (1.5%)

series44.0ms (0.4%)

rewrite428.0ms (4%)

simplify392.0ms (3.6%)

eval185.0ms (1.7%)

prune229.0ms (2.1%)

simplify243.0ms (2.2%)

localize83.0ms (0.8%)

series18.0ms (0.2%)

rewrite475.0ms (4.4%)

simplify346.0ms (3.2%)

eval197.0ms (1.8%)

prune245.0ms (2.3%)

simplify245.0ms (2.3%)

localize339.0ms (3.1%)

series8.0ms (0.1%)

rewrite939.0ms (8.7%)

simplify436.0ms (4%)

eval137.0ms (1.3%)

prune380.0ms (3.5%)

regimes85.0ms (0.8%)

regimes69.0ms (0.6%)

regimes59.0ms (0.5%)

regimes64.0ms (0.6%)

regimes52.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes36.0ms (0.3%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify47.0ms (0.4%)

soundness1.4s (12.8%)

preprocess86.0ms (0.8%)

end0.0ms (0%)

Profiling