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

analyze130.0ms (1.2%)

Memory

35.7MiB live, 294.2MiB 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 (9.7%)

Memory

51.8MiB live, 2 054.2MiB allocated

Samples

690.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

ival-div: 213.0ms (47.5% of total)

ival-mult: 122.0ms (27.2% of total)

ival-sub: 59.0ms (13.1% of total)

ival-add: 40.0ms (8.9% of total)

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

exact: 5.0ms (1.1% of total)

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

Bogosity

preprocess289.0ms (2.7%)

Memory

-13.9MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 112×	`accelerator-lowering-fma.f32`
2 112×	`accelerator-lowering-fma.f64`
1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`
1 100×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	222
1	209	210
2	609	210
3	1702	174
4	4679	168
5	7740	168
0	11	15
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)

explain165.0ms (1.6%)

Memory

-12.2MiB live, 224.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(5.112608053113803e+279 2.2016674278832478e-218 -1.5525886780507696e-106 -9.474346922546227e-262)	`(/.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	29
`+.f64`	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`	nan-rescue	1	0
↳	`(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))`	overflow	32
↳	`(/.f64 y (*.f64 z #s(literal 3 binary64)))`	overflow	32
↳	`(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))`	overflow	46
↳	`(.f64 (.f64 z #s(literal 3 binary64)) y)`	overflow	30

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 136 to 48 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (39.9% of total)

ival-mult: 7.0ms (34.9% of total)

ival-sub: 2.0ms (10% of total)

ival-add: 2.0ms (10% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(+.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)

simplify222.0ms (2.1%)

Memory

-65.8MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 112×	`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))
(/.f64 y (*.f64 z #s(literal 3 binary64)))
y
(* z 3)
(*.f64 z #s(literal 3 binary64))
z
3
#s(literal 3 binary64)
(/ t (* (* z 3) y))
(/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))
t
(* (* z 3) y)
(.f64 y (.f64 z #s(literal 3 binary64)))

localize44.0ms (0.4%)

Memory

4.7MiB live, 41.2MiB 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	99.6%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
✓	accuracy	94.0%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))

Samples

33.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 18.0ms (75.5% of total)

ival-mult: 3.0ms (12.6% of total)

ival-sub: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

-5.4MiB live, 31.3MiB allocated

Counts

6 → 180

Calls

Call 1

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

45 calls:

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

rewrite507.0ms (4.8%)

Memory

30.8MiB live, 776.1MiB 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	42
1	63	42
2	855	38
0	9307	37

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 350

Calls

Call 1

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

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

simplify376.0ms (3.6%)

Memory

-0.7MiB live, 625.7MiB 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	102	1412
1	307	1322
2	875	1322
3	2795	1262
4	6348	1262
0	8216	1196

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

eval67.0ms (0.6%)

Memory: 35.9MiB live, 185.5MiB allocated
Compiler: Compiled 14 513 to 1 072 computations (92.6% saved)

prune77.0ms (0.7%)

Memory

21.1MiB live, 208.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	542	15	557
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	15	558

Accuracy

100.0%

Counts

558 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (.f64 y (.f64 z #s(literal 3 binary64))))))
	95.8%	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
▶	96.9%	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
	96.5%	(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))))))
	65.2%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
▶	86.1%	(fma.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y)) x)
	62.8%	(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)
▶	34.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
▶	96.8%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
	96.1%	(+.f64 (-.f64 x (/.f64 (.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
	96.1%	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z y) #s(literal 3 binary64))))
	65.0%	(+.f64 x (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)))
	65.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
	33.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
▶	33.5%	x

Compiler

Compiled 430 to 290 computations (32.6% saved)

simplify298.0ms (2.8%)

Memory

10.5MiB live, 605.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 z x))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y))
✓	cost-diff	640	(fma.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y)) x)
✓	cost-diff	0	(/.f64 t y)
✓	cost-diff	0	(-.f64 y (/.f64 t y))
✓	cost-diff	0	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))
✓	cost-diff	128	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
✓	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	(/.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) x)

Rules

12 294×	`accelerator-lowering-fma.f32`
12 294×	`accelerator-lowering-fma.f64`
4 190×	`-lowering-.f32`
4 190×	`-lowering-.f64`
1 656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	124
1	56	124
2	167	124
3	503	124
4	1514	124
5	5417	124
0	8118	121

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize142.0ms (1.3%)

Memory

-44.3MiB live, 181.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 z x))
✓	accuracy	92.0%	(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y))
✓	accuracy	87.6%	(fma.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (-.f64 (/.f64 t y) y)) x)
✓	accuracy	100.0%	(-.f64 y (/.f64 t y))
✓	accuracy	100.0%	(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	96.7%	(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) t)
✓	accuracy	93.8%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) z)
✓	accuracy	96.9%	(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)

Samples

99.0ms

256×

valid

Compiler

Compiled 128 to 25 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 64.0ms (78.2% of total)

ival-div: 8.0ms (9.8% of total)

const: 4.0ms (4.9% of total)

ival-sub: 3.0ms (3.7% of total)

ival-add: 2.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series226.0ms (2.1%)

Memory

11.5MiB live, 52.8MiB allocated

Counts

15 → 444

Calls

Call 1

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

111 calls:

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

rewrite384.0ms (3.6%)

Memory

-24.2MiB live, 620.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 158×	`/-lowering-/.f32`
5 158×	`/-lowering-/.f64`
4 778×	`-lowering-.f32`
4 778×	`-lowering-.f64`
4 608×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
1	143	97
2	1428	97
0	8473	94

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 717

Calls

Call 1

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

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

simplify306.0ms (2.9%)

Memory

19.6MiB live, 537.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 576×	`accelerator-lowering-fma.f32`
6 576×	`accelerator-lowering-fma.f64`
4 602×	`-lowering-.f32`
4 602×	`-lowering-.f64`
2 086×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	3612
1	569	3576
2	1787	3345
3	6013	3174
0	8243	3057

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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

eval189.0ms (1.8%)

Memory: -1.0MiB live, 298.7MiB allocated
Compiler: Compiled 26 567 to 2 369 computations (91.1% saved)

prune182.0ms (1.7%)

Memory

-3.0MiB live, 292.2MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 307	14	1 321
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	1 317	19	1 336

Accuracy

100.0%

Counts

1 336 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
	82.9%	(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (.f64 (-.f64 (/.f64 t y) y) x) x)
▶	96.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y) x)
	65.2%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
	60.2%	(fma.f64 x (/.f64 (.f64 y #s(literal -1/3 binary64)) (.f64 z x)) x)
	60.3%	(fma.f64 x (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (neg.f64 y)) x)
	65.0%	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
	33.7%	(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
	37.1%	(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t z)) y)
	65.9%	(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)
✓	34.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	34.9%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
	65.2%	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
▶	37.2%	(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y))
	34.6%	(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z))
▶	65.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
▶	33.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
▶	34.9%	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))
✓	33.5%	x

Compiler

Compiled 434 to 302 computations (30.4% saved)

simplify152.0ms (1.4%)

Memory

18.7MiB live, 175.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 984×	`accelerator-lowering-fma.f32`
1 984×	`accelerator-lowering-fma.f64`
1 024×	`-lowering-.f32`
1 024×	`-lowering-.f64`
398×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	47	102
2	94	102
3	206	102
4	405	102
5	643	102
6	1028	102
7	1641	102
8	2386	102
9	2836	102
10	2956	102
11	2959	102
12	2959	102
13	2964	102
14	2976	102
15	3015	102
16	3015	102
0	3015	101

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize126.0ms (1.2%)

Memory

2.2MiB live, 154.7MiB 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	99.4%	(/.f64 #s(literal 1/3 binary64) z)
✓	accuracy	96.8%	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
✓	accuracy	100.0%	(/.f64 t z)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	92.0%	(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (*.f64 z y))
✓	accuracy	93.9%	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	accuracy	99.4%	(/.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	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64))
✓	accuracy	96.9%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y) x)

Samples

85.0ms

256×

valid

Compiler

Compiled 107 to 25 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

const: 36.0ms (58.5% of total)

ival-div: 12.0ms (19.5% of total)

ival-mult: 10.0ms (16.2% of total)

ival-sub: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% 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

-0.5MiB live, 37.1MiB allocated

Counts

15 → 360

Calls

Call 1

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

Outputs
#<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 (/ (- (/ 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 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 (/ 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 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 (/ 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 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 (* 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 (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t 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) 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 (/ 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)>

Calls

90 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(* (/ 1/3 z) (- (/ t y) y))
3.0ms	t	@	0	(/ t z)
0.0ms	z	@	inf	(/ 1/3 (* z y))
0.0ms	t	@	inf	(/ t z)
0.0ms	z	@	0	(* y (/ -1/3 z))

rewrite345.0ms (3.3%)

Memory

27.6MiB live, 729.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 872×	`accelerator-lowering-fma.f32`
6 872×	`accelerator-lowering-fma.f64`
5 348×	`-lowering-.f32`
5 348×	`-lowering-.f64`
3 600×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	109	73
2	786	73
0	8348	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 005

Calls

Call 1

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

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

simplify328.0ms (3.1%)

Memory

-49.8MiB live, 526.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 292×	`accelerator-lowering-fma.f32`
7 292×	`accelerator-lowering-fma.f64`
3 792×	`-lowering-.f32`
3 792×	`-lowering-.f64`
1 588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	2092
1	328	2089
2	977	2089
3	3008	2065
4	5847	2065
0	8232	2023

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval184.0ms (1.8%)

Memory: 23.7MiB live, 409.7MiB allocated
Compiler: Compiled 25 722 to 1 957 computations (92.4% saved)

prune182.0ms (1.7%)

Memory

0.6MiB live, 432.7MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 547	6	1 553
Fresh	3	9	12
Picked	1	4	5
Done	0	2	2
Total	1 551	21	1 572

Accuracy

100.0%

Counts

1 572 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
	82.9%	(fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 z x)) (.f64 (-.f64 (/.f64 t y) y) x) x)
	65.1%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (neg.f64 y) x)
▶	65.2%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
	65.0%	(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)
	37.2%	(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))
	33.7%	(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
	65.9%	(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)
✓	34.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	33.6%	(/.f64 y (*.f64 z #s(literal -3 binary64)))
▶	34.9%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
	33.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -3 binary64)) y))
	65.2%	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
▶	33.3%	(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
✓	37.2%	(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y))
▶	34.6%	(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z))
	33.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(literal -1/3 binary64)))
✓	65.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
✓	33.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	34.9%	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))
✓	33.5%	x

Compiler

Compiled 406 to 294 computations (27.6% saved)

simplify362.0ms (3.4%)

Memory

-10.2MiB live, 160.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	46	92
2	81	92
3	127	92
4	200	92
5	321	92
6	506	92
7	868	92
8	2029	92
9	3256	92
10	3660	92
11	3744	92
12	3787	92
13	3801	92
14	3821	92
15	4025	92
16	4113	92
17	4137	92
18	4313	92
19	4463	92
20	4463	92
21	4463	92
22	4588	92
23	4742	92
24	4742	92
0	4742	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize103.0ms (1%)

Memory

27.6MiB live, 110.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) z)
✓	accuracy	92.4%	(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 z #s(literal 3 binary64)) y)
✓	accuracy	94.0%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
✓	accuracy	99.4%	(/.f64 #s(literal -1/3 binary64) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.3%	(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) y)
✓	accuracy	99.5%	(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
✓	accuracy	96.9%	(/.f64 (-.f64 (/.f64 t y) y) z)

Samples

80.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 33.0ms (64.4% of total)

ival-mult: 8.0ms (15.6% of total)

const: 6.0ms (11.7% of total)

ival-add: 2.0ms (3.9% of total)

ival-sub: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.1%)

Memory

-26.0MiB live, 12.9MiB allocated

Counts

13 → 348

Calls

Call 1

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

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 (* -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 (/ 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 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 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 (/ 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 (/ 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 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)>

Calls

87 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(* (/ t y) (/ 1/3 z))
0.0ms	z	@	-inf	(/ (- (/ t y) y) z)
0.0ms	z	@	-inf	(/ y z)
0.0ms	y	@	-inf	(/ y z)
0.0ms	t	@	-inf	(/ (- (/ t y) y) z)

rewrite860.0ms (8.2%)

Memory

-31.2MiB live, 515.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 564×	`accelerator-lowering-fma.f32`
8 564×	`accelerator-lowering-fma.f64`
5 730×	`-lowering-.f32`
5 730×	`-lowering-.f64`
3 628×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	117	69
2	951	69
0	8519	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 686

Calls

Call 1

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

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

simplify446.0ms (4.2%)

Memory

24.8MiB live, 341.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 908×	`accelerator-lowering-fma.f32`
11 908×	`accelerator-lowering-fma.f64`
3 898×	`-lowering-.f32`
3 898×	`-lowering-.f64`
1 680×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2265
1	369	2178
2	1105	2084
3	3345	2072
4	6466	2072
0	8242	2006

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval239.0ms (2.3%)

Memory: 11.7MiB live, 250.0MiB allocated
Compiler: Compiled 15 198 to 1 601 computations (89.5% saved)

prune198.0ms (1.9%)

Memory

-9.8MiB live, 185.8MiB allocated

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1 074	5	1 079
Fresh	4	6	10
Picked	2	3	5
Done	0	6	6
Total	1 080	20	1 100

Accuracy

100.0%

Counts

1 100 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x)
	64.9%	(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
	65.0%	(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x)
	65.1%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) x)
	33.7%	(/.f64 (*.f64 y #s(literal -1/3 binary64)) z)
	65.9%	(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)
✓	34.9%	(/.f64 (.f64 #s(literal 1/3 binary64) t) (.f64 y z))
	33.6%	(/.f64 y (*.f64 z #s(literal -3 binary64)))
✓	34.9%	(/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y))
	33.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -3 binary64)) y))
	34.7%	(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 y t) z))
	33.6%	(/.f64 #s(literal -1/3 binary64) (/.f64 z y))
	65.2%	(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
✓	33.3%	(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
✓	37.2%	(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y))
	33.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y #s(literal -1/3 binary64)))
✓	65.9%	(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
✓	33.7%	(*.f64 y (/.f64 #s(literal -1/3 binary64) z))
✓	34.9%	(.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y)))
✓	33.5%	x

Compiler

Compiled 581 to 254 computations (56.3% saved)

regimes129.0ms (1.2%)

Memory

-18.8MiB live, 100.9MiB allocated

Counts

41 → 2

Calls

Call 1

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

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

Calls

6 calls:

53.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))
18.0ms	y
12.0ms	(*.f64 z #s(literal 3 binary64))
11.0ms	x
11.0ms	t

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
99.8%	2	`z`
96.9%	1	`t`
96.9%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
99.8%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes22.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`z`
99.8%	2	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes71.0ms (0.7%)

Memory

8.1MiB live, 85.7MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	t
14.0ms	z
10.0ms	(*.f64 z #s(literal 3 binary64))
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`t`
96.9%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
96.9%	1	`z`
96.9%	1	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes83.0ms (0.8%)

Memory

-4.7MiB live, 77.7MiB allocated

Counts

28 → 3

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(*.f64 z #s(literal 3 binary64))
22.0ms	y
8.0ms	x
8.0ms	z
8.0ms	t

Results

Accuracy	Segments	Branch
87.0%	3	`x`
90.8%	3	`y`
86.7%	4	`z`
85.8%	4	`t`
83.3%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
86.7%	4	`(*.f64 z #s(literal 3 binary64))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes41.0ms (0.4%)

Memory

-19.3MiB live, 17.6MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
90.8%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes28.0ms (0.3%)

Memory

33.2MiB live, 33.2MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
69.8%	2	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
76.3%	3	`t`
65.2%	1	`z`
65.2%	1	`(*.f64 z #s(literal 3 binary64))`
68.5%	3	`x`
78.1%	3	`y`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes18.0ms (0.2%)

Memory

-28.0MiB live, 11.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
78.1%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`x`
65.2%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
65.2%	1	`t`
65.2%	1	`y`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes40.0ms (0.4%)

Memory

-18.6MiB live, 20.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	t
2.0ms	(*.f64 z #s(literal 3 binary64))
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
54.3%	3	`x`
50.5%	3	`z`
50.5%	3	`(*.f64 z #s(literal 3 binary64))`
50.4%	3	`y`
41.5%	4	`t`
46.3%	3	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.5%	1	`t`
33.5%	1	`(+.f64 (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64)))) (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))`
33.5%	1	`y`
33.5%	1	`z`
33.5%	1	`(*.f64 z #s(literal 3 binary64))`
33.5%	1	`x`

Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6000155231146713e-122	2.4969876266979927e-116

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6000155231146713e-122	2.4969876266979927e-116

Compiler

Compiled 20 to 18 computations (10% saved)

bsearch79.0ms (0.7%)

Memory

-44.2MiB live, 47.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.4435314583723352e+36	1.969733236851976e+43
40.0ms	-1207927.5956579207	-1.295667144546635

Samples

44.0ms

288×

valid

Compiler

Compiled 481 to 351 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (37.6% of total)

ival-mult: 4.0ms (37.6% of total)

ival-sub: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch79.0ms (0.8%)

Memory

15.7MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	2.4435314583723352e+36	1.969733236851976e+43
14.0ms	-1207927.5956579207	-1.295667144546635

Samples

18.0ms

288×

valid

Compiler

Compiled 463 to 333 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (38% of total)

ival-mult: 4.0ms (38% of total)

ival-sub: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch57.0ms (0.5%)

Memory

8.2MiB live, 47.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.1578038948369033e-147	2.6395304090388983e-144
11.0ms	-3.3255469165260286e-69	-2.4166929483935778e-71

Samples

45.0ms

240×

valid

Compiler

Compiled 367 to 273 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 34.0ms (87% of total)

ival-mult: 3.0ms (7.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch71.0ms (0.7%)

Memory

-9.2MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.1578038948369033e-147	2.6395304090388983e-144
11.0ms	-3.3255469165260286e-69	-2.4166929483935778e-71

Samples

15.0ms

240×

valid

Compiler

Compiled 367 to 273 computations (25.6% saved)

Precisions

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

ival-div: 3.0ms (34.5% of total)

ival-mult: 3.0ms (34.5% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch64.0ms (0.6%)

Memory

10.8MiB live, 49.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.1553734220152558	1.3131923240096843
52.0ms	-1.1174738109024254e+76	-1.1626153507185752e+73

Samples

53.0ms

224×

valid

Compiler

Compiled 246 to 200 computations (18.7% saved)

Precisions

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

ival-div: 42.0ms (89% of total)

ival-mult: 3.0ms (6.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify49.0ms (0.5%)

Memory

-23.6MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	205
1	87	205
2	97	205
3	109	205
4	117	205
5	122	205
6	124	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
(if (<=.f64 y #s(literal -600000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) x) (if (<=.f64 y #s(literal 6799999999999999639134942748745924608 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -4400 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 55000000000000001595265292622605844480 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -6962525309737013/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 2671230065510023/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))
(if (<=.f64 y #s(literal -5128645875475925/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 2196735251241795/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(if (<=.f64 x #s(literal -110000000000000005980083816679096792578136661657114239668167301775277162496 binary64)) x (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) x))
x

Outputs
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (.f64 y (*.f64 z #s(literal 3 binary64)))))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (.f64 (*.f64 z #s(literal 3 binary64)) y)))))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 t (.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))
(if (<=.f64 (.f64 z #s(literal 3 binary64)) #s(literal 1162941958872971/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) (fma.f64 (/.f64 t (.f64 z y)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)
(if (<=.f64 y #s(literal -600000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) x) (if (<=.f64 y #s(literal 6799999999999999639134942748745924608 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -600000 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) x) (if (<=.f64 y #s(literal 6799999999999999639134942748745924608 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 z y)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -4400 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 55000000000000001595265292622605844480 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 y z)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -4400 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 55000000000000001595265292622605844480 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (.f64 z y)) x) (-.f64 x (/.f64 y (.f64 z #s(literal 3 binary64))))))
(if (<=.f64 y #s(literal -6962525309737013/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 2671230065510023/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) (/.f64 t (.f64 (.f64 z #s(literal 3 binary64)) y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))
(if (<=.f64 y #s(literal -5128645875475925/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (if (<=.f64 y #s(literal 2196735251241795/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (.f64 t (/.f64 #s(literal 1/3 binary64) (.f64 z y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)
(if (<=.f64 x #s(literal -110000000000000005980083816679096792578136661657114239668167301775277162496 binary64)) x (if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) x))
x

soundness1.4s (13%)

Memory

6.0MiB live, 963.7MiB 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`
8 564×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	63	42
2	855	38
0	9307	37
0	23	97
1	143	97
2	1428	97
0	8473	94
0	22	69
1	117	69
2	951	69
0	8519	67
0	102	1412
1	307	1322
2	875	1322
3	2795	1262
4	6348	1262
0	8216	1196
0	192	3612
1	569	3576
2	1787	3345
3	6013	3174
0	8243	3057

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

Compiler

Compiled 523 to 293 computations (44% saved)

preprocess104.0ms (1%)

Memory: 31.8MiB live, 195.1MiB allocated
Compiler: Compiled 494 to 180 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze130.0ms (1.2%)

sample1.0s (9.7%)

preprocess289.0ms (2.7%)

explain165.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify222.0ms (2.1%)

localize44.0ms (0.4%)

series19.0ms (0.2%)

rewrite507.0ms (4.8%)

simplify376.0ms (3.6%)

eval67.0ms (0.6%)

prune77.0ms (0.7%)

simplify298.0ms (2.8%)

localize142.0ms (1.3%)

series226.0ms (2.1%)

rewrite384.0ms (3.6%)

simplify306.0ms (2.9%)

eval189.0ms (1.8%)

prune182.0ms (1.7%)

simplify152.0ms (1.4%)

localize126.0ms (1.2%)

series18.0ms (0.2%)

rewrite345.0ms (3.3%)

simplify328.0ms (3.1%)

eval184.0ms (1.8%)

prune182.0ms (1.7%)

simplify362.0ms (3.4%)

localize103.0ms (1%)

series15.0ms (0.1%)

rewrite860.0ms (8.2%)

simplify446.0ms (4.2%)

eval239.0ms (2.3%)

prune198.0ms (1.9%)

regimes129.0ms (1.2%)

regimes22.0ms (0.2%)

regimes71.0ms (0.7%)

regimes83.0ms (0.8%)

regimes41.0ms (0.4%)

regimes28.0ms (0.3%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes40.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch79.0ms (0.7%)

bsearch79.0ms (0.8%)

bsearch57.0ms (0.5%)

bsearch71.0ms (0.7%)

bsearch64.0ms (0.6%)

simplify49.0ms (0.5%)

soundness1.4s (13%)

preprocess104.0ms (1%)

end0.0ms (0%)

Profiling