Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (12.3%)

Memory

23.1MiB live, 973.6MiB allocated

Samples

1000.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-mult: 509.0ms (84.1% of total)

ival-sub: 47.0ms (7.8% of total)

ival-add: 35.0ms (5.8% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess92.0ms (0.9%)

Memory

5.6MiB live, 87.9MiB allocated

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
392×	`distribute-rgt-in`
378×	`unsub-neg`
312×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	99
1	82	90
2	190	90
3	555	75
4	1194	71
5	1997	70
6	2358	70
7	2398	70
8	2402	70
9	2402	70
0	8	9
1	15	9
2	25	9
3	48	9
4	103	8
5	151	7
6	242	7
7	394	7
8	554	7
9	626	7
10	628	7
0	628	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* (- 1 x) z))

Outputs
(+ (* x y) (* (- 1 x) z))
(fma.f64 x (-.f64 y z) z)

Call 2

Inputs
(+ (* x y) (* (- 1 x) z))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(+ (* x (neg y)) (* (- 1 x) z))
(+ (* x y) (* (- 1 x) (neg z)))
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(neg (+ (* x y) (* (- 1 x) (neg z))))
(+ (* y x) (* (- 1 y) z))
(+ (* z y) (* (- 1 z) x))
(+ (* x z) (* (- 1 x) y))

Outputs
(+ (* x y) (* (- 1 x) z))
(+ z (* x (- y z)))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(+ z (* x (- z y)))
(+ (* x (neg y)) (* (- 1 x) z))
(- z (* x (+ y z)))
(+ (* x y) (* (- 1 x) (neg z)))
(- (* x (+ y z)) z)
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(- (* x (- y z)) z)
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(- (* x (+ y z)) z)
(neg (+ (* x y) (* (- 1 x) (neg z))))
(- z (* x (+ y z)))
(+ (* y x) (* (- 1 y) z))
(+ z (* y (- x z)))
(+ (* z y) (* (- 1 z) x))
(+ x (* z (- y x)))
(+ (* x z) (* (- 1 x) y))
(+ y (* x (- z y)))

explain98.0ms (1%)

Memory

11.8MiB live, 132.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	28

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (63.7% of total)

ival-sub: 3.0ms (17.4% of total)

ival-add: 2.0ms (11.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0%)

Memory

-37.8MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify34.0ms (0.4%)

Memory

17.6MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	576	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x y) (* (- 1 x) z))
(* x y)
x
y
(* (- 1 x) z)
(- 1 x)
1
z

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

localize25.0ms (0.3%)

Memory

7.3MiB live, 44.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.4%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

13.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 3.0ms (49.5% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* z (- 1 x))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* z (- 1 x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- 1 x))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	x	@	inf	(* x y)
0.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	z	@	-inf	(+ (* x y) (* (- 1 x) z))

rewrite748.0ms (7.7%)

Memory

4.3MiB live, 714.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 772×	`-lowering-.f32`
6 772×	`-lowering-.f64`
6 392×	`accelerator-lowering-fma.f32`
6 392×	`accelerator-lowering-fma.f64`
3 490×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	40	20
2	310	20
3	3844	20
0	11249	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 317

Calls

Call 1

Inputs
(+ (* x y) (* (- 1 x) z))
(- 1 x)
(* x y)
(* (- 1 x) z)

Outputs
(+.f64 (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(+.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 x y)))
(+.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y)))))
(+.f64 (fma.f64 x y z) (neg.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))))
(fma.f64 x y (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x (*.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 x y)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 x y)))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y)))))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 z (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 x y))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (.f64 y #s(literal 1 binary64)) x (.f64 z (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y)))) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y)))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 z z)))) (fma.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 x (.f64 y y)))) (neg.f64 (/.f64 (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 x y)))))
(fma.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x y))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 z (.f64 z z) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (fma.f64 z z (-.f64 (.f64 (.f64 x z) (.f64 x z)) (.f64 z (neg.f64 (*.f64 x z))))))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 x z) (.f64 x z))) (-.f64 z (neg.f64 (*.f64 x z))))
(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (*.f64 x x))) z) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) z) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (fma.f64 x x x))))
(/.f64 (exp.f64 (log.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))))) (exp.f64 (log1p.f64 x)))
(pow.f64 (*.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64))
(*.f64 z (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) z))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 z (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) z)
(.f64 (.f64 z (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log1p.f64 x)))

simplify324.0ms (3.3%)

Memory

-45.2MiB live, 383.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
2 438×	`-lowering-.f32`
2 438×	`-lowering-.f64`
1 490×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	471
1	192	442
2	558	442
3	1393	442
4	3892	442
5	6309	442
0	8028	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval50.0ms (0.5%)

Memory: 3.6MiB live, 119.4MiB allocated
Compiler: Compiled 11 654 to 1 109 computations (90.5% saved)

prune51.0ms (0.5%)

Memory

28.3MiB live, 149.8MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	408	6	414

Accuracy

100.0%

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	46.3%	(fma.f64 x y #s(literal 0 binary64))
✓	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	72.1%	(+.f64 (*.f64 x y) z)
▶	29.4%	(.f64 (.f64 (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))))
▶	28.0%	z

Compiler

Compiled 134 to 68 computations (49.3% saved)

simplify663.0ms (6.8%)

Memory

15.9MiB live, 965.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 z (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	192	(fma.f64 x y (*.f64 z (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	384	(-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
✓	cost-diff	2560	(.f64 (.f64 (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	192	(+.f64 (*.f64 x y) z)
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 x (-.f64 y z) z)

Rules

22 280×	`accelerator-lowering-fma.f32`
22 280×	`accelerator-lowering-fma.f64`
5 164×	`-lowering-.f32`
5 164×	`-lowering-.f64`
1 826×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	147
1	46	107
2	128	97
3	535	91
4	2079	91
5	5936	91
0	8372	82

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize102.0ms (1%)

Memory

-25.2MiB live, 91.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(fma.f64 x y (*.f64 z (+.f64 x #s(literal 1 binary64))))
✓	accuracy	98.1%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y)))
✓	accuracy	98.0%	(-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))
✓	accuracy	44.3%	(.f64 (.f64 (fma.f64 x y (.f64 z (+.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(fma.f64 x (-.f64 y z) z)

Samples

60.0ms

256×

valid

Compiler

Compiled 124 to 20 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (45% of total)

ival-add: 5.0ms (28.1% of total)

ival-sub: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

10 → 312

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (* x (- y z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x (+ y z)))>
#<alt (+ z (* x (+ y z)))>
#<alt (+ z (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* z (+ 1 x))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 x))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* x y))>
#<alt (- (* z (+ 1 x)) (* x y))>
#<alt (- (* z (+ 1 x)) (* x y))>
#<alt (- (* z (+ 1 x)) (* x y))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 (+ x (* -1 (/ (* x y) z)))))>
#<alt (* z (+ 1 (+ x (* -1 (/ (* x y) z)))))>
#<alt (* z (+ 1 (+ x (* -1 (/ (* x y) z)))))>
#<alt (* z (+ 1 x))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))>
#<alt z>
#<alt (+ z (* x (- z y)))>
#<alt (+ z (* x (- z y)))>
#<alt (+ z (* x (- z y)))>
#<alt (* x (- z y))>
#<alt (* x (- (+ z (/ z x)) y))>
#<alt (* x (- (+ z (/ z x)) y))>
#<alt (* x (- (+ z (/ z x)) y))>
#<alt (* -1 (* x (- (* -1 z) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))>
#<alt (* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))>
#<alt (* z (+ 1 x))>
#<alt (+ (* -1 (* x y)) (* z (+ 1 x)))>
#<alt (+ (* -1 (* x y)) (* z (+ 1 x)))>
#<alt (+ (* -1 (* x y)) (* z (+ 1 x)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ (* z (+ 1 x)) y) x))>
#<alt (* y (- (/ (* z (+ 1 x)) y) x))>
#<alt (* y (- (/ (* z (+ 1 x)) y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))>
#<alt z>
#<alt (+ z (* x (+ y z)))>
#<alt (+ z (* x (+ y z)))>
#<alt (+ z (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* x (+ y (+ z (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))>
#<alt (* z (+ 1 x))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* y (+ x (/ (* z (+ 1 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (+ (* x y) (* z (+ 1 x)))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 (+ x (/ (* x y) z))))>
#<alt (* z (+ 1 x))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt (* z (+ 1 x))>
#<alt z>
#<alt (+ z (* x z))>
#<alt (+ z (* x z))>
#<alt (+ z (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ z x)))>
#<alt (* x (+ z (/ z x)))>
#<alt (* x (+ z (/ z x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))>
#<alt (/ -1 (* x y))>
#<alt (- (* -1 (* z (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (- (* z (- (* -1 (/ (* z (* (+ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (- (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 x) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2)))) (/ (* (+ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))>
#<alt (/ 1 (* z (+ 1 x)))>
#<alt (/ (+ (/ 1 (+ 1 x)) (/ (* x y) (* z (pow (+ 1 x) 2)))) z)>
#<alt (/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))) (* -1 (/ (* x y) (* z (pow (+ 1 x) 2))))) z)>
#<alt (/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 x) 4)))) (+ (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))))) z)>
#<alt (/ 1 (* z (+ 1 x)))>
#<alt (* -1 (/ (- (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (* z (pow (+ 1 x) 3))) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* z (pow (+ 1 x) 4)))) (/ (* (pow x 2) (pow y 2)) (pow (+ 1 x) 3))) z)) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))>
#<alt (/ 1 z)>
#<alt (+ (* x (- (/ y (pow z 2)) (/ 1 z))) (/ 1 z))>
#<alt (+ (* x (- (+ (* -1 (/ (* x (* (- z y) (- (/ y (pow z 2)) (/ 1 z)))) z)) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))>
#<alt (+ (* x (- (+ (* x (- (/ (* x (* (pow (- z y) 2) (- (/ y (pow z 2)) (/ 1 z)))) (pow z 2)) (/ (* (- z y) (- (/ y (pow z 2)) (/ 1 z))) z))) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))>
#<alt (/ 1 (* x (- z y)))>
#<alt (/ (+ (* -1 (/ z (* x (pow (- z y) 2)))) (/ 1 (- z y))) x)>
#<alt (/ (- (+ (/ 1 (- z y)) (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (- z y) 4)))) (/ 1 (- z y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2))))) x)>
#<alt (/ -1 (* x (- (* -1 z) (* -1 y))))>
#<alt (* -1 (/ (+ (/ 1 (- (* -1 z) (* -1 y))) (/ z (* x (pow (- (* -1 z) (* -1 y)) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (- (* -1 z) (* -1 y)) 3)))) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (- (* -1 z) (* -1 y)) 4))) (* -1 (/ (pow z 2) (pow (- (* -1 z) (* -1 y)) 3)))) x)) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))>
#<alt (/ 1 (* z (+ 1 x)))>
#<alt (+ (/ 1 (* z (+ 1 x))) (/ (* x y) (* (pow z 2) (pow (+ 1 x) 2))))>
#<alt (+ (* y (- (/ (* (pow x 2) y) (* (pow z 3) (pow (+ 1 x) 3))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))>
#<alt (+ (* y (- (* y (- (/ (* (pow x 3) y) (* (pow z 4) (pow (+ 1 x) 4))) (* -1 (/ (pow x 2) (* (pow z 3) (pow (+ 1 x) 3)))))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))>
#<alt (/ -1 (* x y))>
#<alt (/ (- (* -1 (/ (* z (+ 1 x)) (* (pow x 2) y))) (/ 1 x)) y)>
#<alt (/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))) (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y)))) y)>
#<alt (/ (- (* -1 (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (+ (/ (* z (+ 1 x)) (* (pow x 2) y)) (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))))) y)>
#<alt (/ -1 (* x y))>
#<alt (* -1 (/ (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) y))) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) y)) (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (pow x 3)))) y)) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))>

Calls

78 calls:

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

rewrite620.0ms (6.4%)

Memory

-4.9MiB live, 1 036.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 086×	`accelerator-lowering-fma.f32`
9 086×	`accelerator-lowering-fma.f64`
4 676×	`/-lowering-/.f32`
4 676×	`/-lowering-/.f64`
3 834×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	128	64
2	1252	64
0	8625	55

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 507

Calls

Call 1

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

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

simplify449.0ms (4.6%)

Memory

18.0MiB live, 770.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 568×	`accelerator-lowering-fma.f32`
6 568×	`accelerator-lowering-fma.f64`
5 648×	`-lowering-.f32`
5 648×	`-lowering-.f64`
2 082×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	2869
1	1231	2769
2	4321	2730
0	8159	2563

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
z
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(* x (- y z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* x (- y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(+ z (* -1 (* x z)))
(+ z (+ (* -1 (* x z)) (* x y)))
(+ z (+ (* -1 (* x z)) (* x y)))
(+ z (+ (* -1 (* x z)) (* x y)))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x (+ y z)))
(+ z (* x (+ y z)))
(+ z (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (/ z x))))
(* x (+ y (+ z (/ z x))))
(* x (+ y (+ z (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* z (+ 1 x))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(* x y)
(* y (+ x (/ (* z (+ 1 x)) y)))
(* y (+ x (/ (* z (+ 1 x)) y)))
(* y (+ x (/ (* z (+ 1 x)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* x y)
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(* z (+ 1 x))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 x))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* x y))
(- (* z (+ 1 x)) (* x y))
(- (* z (+ 1 x)) (* x y))
(- (* z (+ 1 x)) (* x y))
(* z (+ 1 x))
(* z (+ 1 (+ x (* -1 (/ (* x y) z)))))
(* z (+ 1 (+ x (* -1 (/ (* x y) z)))))
(* z (+ 1 (+ x (* -1 (/ (* x y) z)))))
(* z (+ 1 x))
(* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (+ 1 x)) (/ (* x y) z))))
z
(+ z (* x (- z y)))
(+ z (* x (- z y)))
(+ z (* x (- z y)))
(* x (- z y))
(* x (- (+ z (/ z x)) y))
(* x (- (+ z (/ z x)) y))
(* x (- (+ z (/ z x)) y))
(* -1 (* x (- (* -1 z) (* -1 y))))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ z x))) (* -1 y))))
(* z (+ 1 x))
(+ (* -1 (* x y)) (* z (+ 1 x)))
(+ (* -1 (* x y)) (* z (+ 1 x)))
(+ (* -1 (* x y)) (* z (+ 1 x)))
(* -1 (* x y))
(* y (- (/ (* z (+ 1 x)) y) x))
(* y (- (/ (* z (+ 1 x)) y) x))
(* y (- (/ (* z (+ 1 x)) y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (* z (+ 1 x)) y)) (* -1 x))))
z
(+ z (* x (+ y z)))
(+ z (* x (+ y z)))
(+ z (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (/ z x))))
(* x (+ y (+ z (/ z x))))
(* x (+ y (+ z (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ z x))))))
(* z (+ 1 x))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(* x y)
(* y (+ x (/ (* z (+ 1 x)) y)))
(* y (+ x (/ (* z (+ 1 x)) y)))
(* y (+ x (/ (* z (+ 1 x)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (+ 1 x)) y)))))
(* x y)
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(+ (* x y) (* z (+ 1 x)))
(* z (+ 1 x))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 (+ x (/ (* x y) z))))
(* z (+ 1 x))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 x)) (* -1 (/ (* x y) z)))))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
(* z (+ 1 x))
z
(+ z (* x z))
(+ z (* x z))
(+ z (* x z))
(* x z)
(* x (+ z (/ z x)))
(* x (+ z (/ z x)))
(* x (+ z (/ z x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ z x)))))
(/ -1 (* x y))
(- (* -1 (* z (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(- (* z (- (* -1 (/ (* z (* (+ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* x y))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(- (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 x) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (* (pow x 2) (pow y 2)))) (/ (* (+ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2))))) (* x y)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(/ 1 (* z (+ 1 x)))
(/ (+ (/ 1 (+ 1 x)) (/ (* x y) (* z (pow (+ 1 x) 2)))) z)
(/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))) (* -1 (/ (* x y) (* z (pow (+ 1 x) 2))))) z)
(/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 x) 4)))) (+ (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))))) z)
(/ 1 (* z (+ 1 x)))
(* -1 (/ (- (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (* z (pow (+ 1 x) 3))) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* z (pow (+ 1 x) 4)))) (/ (* (pow x 2) (pow y 2)) (pow (+ 1 x) 3))) z)) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))
(/ 1 z)
(+ (* x (- (/ y (pow z 2)) (/ 1 z))) (/ 1 z))
(+ (* x (- (+ (* -1 (/ (* x (* (- z y) (- (/ y (pow z 2)) (/ 1 z)))) z)) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))
(+ (* x (- (+ (* x (- (/ (* x (* (pow (- z y) 2) (- (/ y (pow z 2)) (/ 1 z)))) (pow z 2)) (/ (* (- z y) (- (/ y (pow z 2)) (/ 1 z))) z))) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))
(/ 1 (* x (- z y)))
(/ (+ (* -1 (/ z (* x (pow (- z y) 2)))) (/ 1 (- z y))) x)
(/ (- (+ (/ 1 (- z y)) (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2)))) x)
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (- z y) 4)))) (/ 1 (- z y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2))))) x)
(/ -1 (* x (- (* -1 z) (* -1 y))))
(* -1 (/ (+ (/ 1 (- (* -1 z) (* -1 y))) (/ z (* x (pow (- (* -1 z) (* -1 y)) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (- (* -1 z) (* -1 y)) 3)))) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (- (* -1 z) (* -1 y)) 4))) (* -1 (/ (pow z 2) (pow (- (* -1 z) (* -1 y)) 3)))) x)) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))
(/ 1 (* z (+ 1 x)))
(+ (/ 1 (* z (+ 1 x))) (/ (* x y) (* (pow z 2) (pow (+ 1 x) 2))))
(+ (* y (- (/ (* (pow x 2) y) (* (pow z 3) (pow (+ 1 x) 3))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))
(+ (* y (- (* y (- (/ (* (pow x 3) y) (* (pow z 4) (pow (+ 1 x) 4))) (* -1 (/ (pow x 2) (* (pow z 3) (pow (+ 1 x) 3)))))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))
(/ -1 (* x y))
(/ (- (* -1 (/ (* z (+ 1 x)) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))) (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y)))) y)
(/ (- (* -1 (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (+ (/ (* z (+ 1 x)) (* (pow x 2) y)) (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) y))) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) y)) (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (pow x 3)))) y)) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))

Outputs
z
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(+ z (* x (- y z)))
(fma.f64 x (-.f64 y z) z)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- (+ y (/ z x)) z))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(* x (- (+ y (/ z x)) z))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(* x (- (+ y (/ z x)) z))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(+ z (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(+ (* x y) (* z (+ 1 (* -1 x))))
(fma.f64 x (-.f64 y z) z)
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(*.f64 z (fma.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
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(/.f64 (fma.f64 x (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) z)
(/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))) (* -1 (/ (* x y) (* z (pow (+ 1 x) 2))))) z)
(/.f64 (fma.f64 x (/.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z))) (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 z x z) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) z)
(/ (- (+ (/ 1 (+ 1 x)) (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ 1 x) 4)))) (+ (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ 1 x) 3)))))) z)
(/.f64 (fma.f64 x (.f64 (.f64 x x) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z z) (.f64 z (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))))) (fma.f64 x (/.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z))) (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 z x z) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))) z)
(/ 1 (* z (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 z x z))
(* -1 (/ (- (* -1 (/ (* x y) (* z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x))) z))
(/.f64 (fma.f64 x (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) z)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) (* z (pow (+ 1 x) 3))) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))
(/.f64 (fma.f64 x (/.f64 y (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z))) (fma.f64 (.f64 y y) (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 z x z) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) (* z (pow (+ 1 x) 4)))) (/ (* (pow x 2) (pow y 2)) (pow (+ 1 x) 3))) z)) (* -1 (/ (* x y) (pow (+ 1 x) 2)))) z)) (/ 1 (+ 1 x))) z))
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (.f64 z z)) (/.f64 (.f64 x y) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* x (- (/ y (pow z 2)) (/ 1 z))) (/ 1 z))
(fma.f64 x (+.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(+ (* x (- (+ (* -1 (/ (* x (* (- z y) (- (/ y (pow z 2)) (/ 1 z)))) z)) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))
(fma.f64 x (+.f64 (fma.f64 (.f64 x (-.f64 y z)) (/.f64 (+.f64 (/.f64 y (.f64 z z)) (/.f64 #s(literal -1 binary64) z)) z) (/.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(+ (* x (- (+ (* x (- (/ (* x (* (pow (- z y) 2) (- (/ y (pow z 2)) (/ 1 z)))) (pow z 2)) (/ (* (- z y) (- (/ y (pow z 2)) (/ 1 z))) z))) (/ y (pow z 2))) (/ 1 z))) (/ 1 z))
(fma.f64 x (+.f64 (fma.f64 x (fma.f64 x (/.f64 (.f64 (+.f64 (/.f64 y (.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (.f64 (-.f64 z y) (-.f64 z y))) (.f64 z z)) (/.f64 (.f64 (-.f64 y z) (+.f64 (/.f64 y (.f64 z z)) (/.f64 #s(literal -1 binary64) z))) z)) (/.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z))
(/ 1 (* x (- z y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))
(/ (+ (* -1 (/ z (* x (pow (- z y) 2)))) (/ 1 (- z y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 z y))) (/.f64 z (.f64 x (.f64 x (.f64 (-.f64 z y) (-.f64 z y))))))
(/ (- (+ (/ 1 (- z y)) (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2)))) x)
(/.f64 (+.f64 (/.f64 z (.f64 x (.f64 (-.f64 z y) (-.f64 y z)))) (fma.f64 z (/.f64 z (.f64 (.f64 x x) (.f64 (-.f64 z y) (.f64 (-.f64 z y) (-.f64 z y))))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) x)
(/ (- (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow (- z y) 4)))) (/ 1 (- z y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) (pow (- z y) 3)))) (/ z (* x (pow (- z y) 2))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (/.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x x) (.f64 x (pow.f64 (-.f64 z y) #s(literal 4 binary64)))))) (fma.f64 z (/.f64 z (.f64 (.f64 x x) (.f64 (-.f64 z y) (.f64 (-.f64 z y) (-.f64 z y))))) (/.f64 z (.f64 x (*.f64 (-.f64 z y) (-.f64 y z)))))) x)
(/ -1 (* x (- (* -1 z) (* -1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y z)))
(* -1 (/ (+ (/ 1 (- (* -1 z) (* -1 y))) (/ z (* x (pow (- (* -1 z) (* -1 y)) 2)))) x))
(/.f64 (+.f64 (/.f64 z (.f64 x (.f64 (-.f64 z y) (-.f64 y z)))) (/.f64 #s(literal -1 binary64) (-.f64 y z))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (- (* -1 z) (* -1 y)) 3)))) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))
(/.f64 (+.f64 (fma.f64 z (/.f64 z (.f64 (.f64 x x) (.f64 (-.f64 z y) (.f64 (-.f64 z y) (-.f64 z y))))) (/.f64 z (.f64 x (.f64 (-.f64 z y) (-.f64 y z))))) (/.f64 #s(literal -1 binary64) (-.f64 y z))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (- (* -1 z) (* -1 y)) 4))) (* -1 (/ (pow z 2) (pow (- (* -1 z) (* -1 y)) 3)))) x)) (/ z (pow (- (* -1 z) (* -1 y)) 2))) x)) (/ 1 (- (* -1 z) (* -1 y)))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 z (.f64 (-.f64 z y) (-.f64 y z))) (/.f64 (fma.f64 z (/.f64 z (.f64 (-.f64 z y) (.f64 (-.f64 z y) (-.f64 y z)))) (/.f64 (.f64 z (.f64 z z)) (.f64 x (pow.f64 (-.f64 y z) #s(literal 4 binary64))))) x)) x) (/.f64 #s(literal -1 binary64) (-.f64 y z))) x)
(/ 1 (* z (+ 1 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 z x z))
(+ (/ 1 (* z (+ 1 x))) (/ (* x y) (* (pow z 2) (pow (+ 1 x) 2))))
(fma.f64 x (/.f64 y (*.f64 (fma.f64 z x z) (fma.f64 z x z))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)))
(+ (* y (- (/ (* (pow x 2) y) (* (pow z 3) (pow (+ 1 x) 3))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))
(fma.f64 y (fma.f64 x (.f64 x (/.f64 y (.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 z x z) (fma.f64 z x z)))))) (/.f64 x (*.f64 (fma.f64 z x z) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)))
(+ (* y (- (* y (- (/ (* (pow x 3) y) (* (pow z 4) (pow (+ 1 x) 4))) (* -1 (/ (pow x 2) (* (pow z 3) (pow (+ 1 x) 3)))))) (* -1 (/ x (* (pow z 2) (pow (+ 1 x) 2)))))) (/ 1 (* z (+ 1 x))))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 (.f64 x (.f64 x x)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 z x z) (fma.f64 z x z)))))) (/.f64 x (.f64 (fma.f64 z x z) (fma.f64 z x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ (- (* -1 (/ (* z (+ 1 x)) (* (pow x 2) y))) (/ 1 x)) y)
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 z (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x)) y)
(/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))) (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y)))) y)
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 z (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (.f64 (fma.f64 z x z) (fma.f64 z x z)) (.f64 (.f64 y y) (.f64 x (*.f64 x x))))) y)
(/ (- (* -1 (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (+ (/ (* z (+ 1 x)) (* (pow x 2) y)) (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (.f64 z (.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (fma.f64 z x z) (fma.f64 z x z)))) (.f64 (.f64 y y) (.f64 y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 z (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (.f64 (fma.f64 z x z) (fma.f64 z x z)) (.f64 (.f64 y y) (.f64 x (*.f64 x x)))))) y)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(* -1 (/ (+ (/ 1 x) (/ (* z (+ 1 x)) (* (pow x 2) y))) y))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 z (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (* (pow x 3) y))) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 z (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (.f64 (fma.f64 z x z) (fma.f64 z x z)) (.f64 (.f64 y y) (.f64 x (*.f64 x x))))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (+ 1 x) 3)) (* (pow x 4) y)) (* -1 (/ (* (pow z 2) (pow (+ 1 x) 2)) (pow x 3)))) y)) (/ (* z (+ 1 x)) (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) x)) (.f64 x x)) (+.f64 (/.f64 (.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 z x z) (fma.f64 z x z)))) (.f64 y (.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 z x z) (fma.f64 z x z)) (.f64 x (.f64 x (*.f64 x y)))))) y) (/.f64 #s(literal -1 binary64) x)) y)

eval717.0ms (7.4%)

Memory: -152.1MiB live, 808.0MiB allocated
Compiler: Compiled 116 175 to 5 752 computations (95% saved)

prune550.0ms (5.6%)

Memory

-3.4MiB live, 949.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	2 713	5	2 718
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	2 716	8	2 724

Accuracy

100.0%

Counts

2 724 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(fma.f64 y x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
▶	91.4%	(fma.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))) z)
✓	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	56.3%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	46.3%	(*.f64 y x)
▶	73.9%	(*.f64 x (-.f64 y z))
✓	28.0%	z

Compiler

Compiled 109 to 70 computations (35.8% saved)

simplify409.0ms (4.2%)

Memory

-5.1MiB live, 385.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	-64	(*.f64 x (-.f64 y z))
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	cost-diff	0	(fma.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))) z)
✓	cost-diff	1024	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))

Rules

7 346×	`accelerator-lowering-fma.f32`
7 346×	`accelerator-lowering-fma.f64`
3 342×	`-lowering-.f32`
3 342×	`-lowering-.f64`
1 912×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	32	69
2	73	69
3	174	69
4	483	57
5	1202	57
6	2028	57
7	4073	57
8	5545	57
9	6450	57
10	6678	57
11	6765	57
12	6883	57
13	7656	57
0	8055	55

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize91.0ms (0.9%)

Memory

11.3MiB live, 86.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 z y))
✓	accuracy	100.0%	(fma.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))) z)
✓	accuracy	88.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))

Samples

75.0ms

256×

valid

Compiler

Compiled 65 to 17 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 36.0ms (81.2% of total)

ival-sub: 3.0ms (6.8% of total)

ival-div: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series135.0ms (1.4%)

Memory

-18.5MiB live, 20.4MiB allocated

Counts

10 → 264

Calls

Call 1

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

Outputs
#<alt (* -1 z)>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt z>
#<alt (+ z (* x (* y (- 1 (/ z y)))))>
#<alt (+ z (* x (* y (- 1 (/ z y)))))>
#<alt (+ z (* x (* y (- 1 (/ z y)))))>
#<alt (* x (* y (- 1 (/ z y))))>
#<alt (* x (+ (* y (- 1 (/ z y))) (/ z x)))>
#<alt (* x (+ (* y (- 1 (/ z y))) (/ z x)))>
#<alt (* x (+ (* y (- 1 (/ z y))) (/ z x)))>
#<alt (* x (* y (- 1 (/ z y))))>
#<alt (* -1 (* x (+ (* -1 (* y (- 1 (/ z y)))) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (- 1 (/ z y)))) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (- 1 (/ z y)))) (* -1 (/ z x)))))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (+ z (+ (* -1 (* x z)) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 x))))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (- x 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* z (- (/ 1 z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 z))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- y z) y)>
#<alt (/ (- y z) y)>
#<alt (/ (- y z) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>

Calls

66 calls:

Time	Variable		Point	Expression
123.0ms	y	@	0	(+ (* y x) z)
2.0ms	x	@	inf	(+ (* x (* y (- 1 (/ z y)))) z)
1.0ms	x	@	0	(+ (* x (* y (- 1 (/ z y)))) z)
0.0ms	y	@	-inf	(* y (- 1 (/ z y)))
0.0ms	y	@	-inf	(+ (* x (* y (- 1 (/ z y)))) z)

rewrite851.0ms (8.7%)

Memory

-5.0MiB live, 477.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 602×	`accelerator-lowering-fma.f32`
4 602×	`accelerator-lowering-fma.f64`
3 954×	`-lowering-.f32`
3 954×	`-lowering-.f64`
3 734×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	93	50
2	774	50
0	8887	48

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 373

Calls

Call 1

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

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

simplify327.0ms (3.4%)

Memory

11.3MiB live, 532.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 240×	`accelerator-lowering-fma.f32`
8 240×	`accelerator-lowering-fma.f64`
3 214×	`-lowering-.f32`
3 214×	`-lowering-.f64`
1 522×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1330
1	363	1306
2	1050	1070
3	2706	1070
4	4655	1070
5	7353	1070
0	8135	1016

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval76.0ms (0.8%)

Memory: -7.9MiB live, 188.9MiB allocated
Compiler: Compiled 11 297 to 1 183 computations (89.5% saved)

prune59.0ms (0.6%)

Memory

-8.6MiB live, 159.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	636	1	637
Fresh	0	0	0
Picked	1	4	5
Done	1	2	3
Total	638	7	645

Accuracy

100.0%

Counts

645 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(fma.f64 y x (*.f64 z (-.f64 #s(literal 0 binary64) x)))
✓	72.1%	(fma.f64 y x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	56.3%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	46.3%	(*.f64 y x)
✓	73.9%	(*.f64 x (-.f64 y z))
✓	28.0%	z

Compiler

Compiled 53 to 34 computations (35.8% saved)

simplify17.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
74×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	14	18
2	26	17
3	49	15
4	76	15
5	110	15
6	158	15
7	238	15
8	307	15
9	386	15
10	393	15
0	393	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y x) (* z (- 0 x)))
y
x
(* z (- 0 x))
z
(- 0 x)
0

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

localize26.0ms (0.3%)

Memory

-27.3MiB live, 44.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 0 binary64) x))
✓	accuracy	98.8%	(fma.f64 y x (*.f64 z (-.f64 #s(literal 0 binary64) x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-mult: 3.0ms (51.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (+ (* y x) (* z (- 0 x)))>
#<alt (- 0 x)>
#<alt (* z (- 0 x))>

Outputs
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+ (* y x) (* z (- 0 x)))
0.0ms	x	@	inf	(+ (* y x) (* z (- 0 x)))
0.0ms	x	@	0	(+ (* y x) (* z (- 0 x)))
0.0ms	z	@	0	(+ (* y x) (* z (- 0 x)))
0.0ms	z	@	0	(* z (- 0 x))

rewrite301.0ms (3.1%)

Memory

47.2MiB live, 463.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 826×	`accelerator-lowering-fma.f32`
3 826×	`accelerator-lowering-fma.f64`
2 670×	`-lowering-.f32`
2 670×	`-lowering-.f64`
2 162×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	39	14
2	335	13
3	4282	9
0	10105	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 326

Calls

Call 1

Inputs
(+ (* y x) (* z (- 0 x)))
(- 0 x)
(* z (- 0 x))

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

simplify554.0ms (5.7%)

Memory

-8.4MiB live, 798.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 744×	`accelerator-lowering-fma.f32`
19 744×	`accelerator-lowering-fma.f64`
2 912×	`-lowering-.f32`
2 912×	`-lowering-.f64`
2 224×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	381
1	106	291
2	280	291
3	641	291
4	1798	291
5	4154	291
6	5404	291
7	6530	291
8	6738	291
9	6882	291
10	6982	291
11	7002	291
12	7232	291
13	7453	291
14	7477	291
15	7477	291
0	8357	291

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -3.8MiB live, 108.9MiB allocated
Compiler: Compiled 9 469 to 816 computations (91.4% saved)

prune54.0ms (0.6%)

Memory

0.5MiB live, 116.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	397	1	398
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	398	7	405

Accuracy

100.0%

Counts

405 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(fma.f64 y x (*.f64 z (neg.f64 x)))
✓	72.1%	(fma.f64 y x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	56.3%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	46.3%	(*.f64 y x)
✓	73.9%	(*.f64 x (-.f64 y z))
✓	28.0%	z

Compiler

Compiled 152 to 67 computations (55.9% saved)

regimes31.0ms (0.3%)

Memory

-9.0MiB live, 33.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (-.f64 y z) z)

Calls

4 calls:

17.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes12.0ms (0.1%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs
(*.f64 x (-.f64 y z))
(fma.f64 y x z)
(*.f64 x (-.f64 y z))

Calls

4 calls:

3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
99.3%	3	`x`
88.2%	3	`y`
88.6%	5	`z`
84.3%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-13.5MiB live, 25.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x z)

Outputs
(fma.f64 y x z)

Calls

4 calls:

3.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
72.1%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
72.1%	1	`z`
72.1%	1	`y`
72.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-18.6MiB live, 20.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(fma.f64 x y #s(literal 0 binary64))

Outputs
(*.f64 y x)
z
(*.f64 y x)

Calls

4 calls:

3.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	y

Results

Accuracy	Segments	Branch
59.9%	3	`x`
55.3%	3	`y`
55.4%	3	`z`
51.8%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

4 calls:

1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
28.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
28.0%	1	`y`
28.0%	1	`z`
28.0%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch26.0ms (0.3%)

Memory

10.0MiB live, 48.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1714239462156695e-26	7.776296035022028e-20
12.0ms	-4269553870.846106	-2.135943981522327e-6

Samples

15.0ms

304×

valid

Compiler

Compiled 338 to 223 computations (34% saved)

Precisions

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

ival-mult: 4.0ms (57% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

-0.2MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.6286718572648025e-93	2.0100727434504846e-83
12.0ms	-2.135943981522327e-6	-3.44096920447467e-10

Samples

14.0ms

272×

valid

Compiler

Compiled 219 to 167 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (71.6% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-15.5MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	30	42
2	34	42
3	36	42
4	37	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3156916489989175/41538374868278621028243970633760768 binary64)) (fma.f64 y x z) (.f64 x (-.f64 y z))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -870426590122533/2417851639229258349412352 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 4921314130761777/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) z (.f64 y x)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3156916489989175/41538374868278621028243970633760768 binary64)) (fma.f64 y x z) (.f64 x (-.f64 y z))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal -870426590122533/2417851639229258349412352 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 4921314130761777/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) z (.f64 y x)))
(if (<=.f64 x #s(literal -870426590122533/2417851639229258349412352 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4921314130761777/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) z (.f64 x y)))
z

soundness817.0ms (8.4%)

Memory

-2.4MiB live, 406.6MiB allocated

Rules

9 086×	`accelerator-lowering-fma.f32`
9 086×	`accelerator-lowering-fma.f64`
7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
6 568×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	2869
1	1231	2769
2	4321	2730
0	8159	2563
0	18	104
1	128	64
2	1252	64
0	8625	55
0	57	471
1	192	442
2	558	442
3	1393	442
4	3892	442
5	6309	442
0	8028	415

Stop Event

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

Compiler

Compiled 128 to 68 computations (46.9% saved)

preprocess86.0ms (0.9%)

Memory: 9.7MiB live, 89.2MiB allocated
Compiler: Compiled 126 to 56 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	18
1	14	18
2	26	17
3	49	15
4	76	15
5	110	15
6	158	15
7	238	15
8	307	15
9	386	15
10	393	15
0	393	15

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	18
1	14	18
2	26	17
3	49	15
4	76	15
5	110	15
6	158	15
7	238	15
8	307	15
9	386	15
10	393	15
0	393	15

analyze0.0ms (0%)

sample1.2s (12.3%)

preprocess92.0ms (0.9%)

explain98.0ms (1%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify34.0ms (0.4%)

localize25.0ms (0.3%)

series6.0ms (0.1%)

rewrite748.0ms (7.7%)

simplify324.0ms (3.3%)

eval50.0ms (0.5%)

prune51.0ms (0.5%)

simplify663.0ms (6.8%)

localize102.0ms (1%)

series15.0ms (0.2%)

rewrite620.0ms (6.4%)

simplify449.0ms (4.6%)

eval717.0ms (7.4%)

prune550.0ms (5.6%)

simplify409.0ms (4.2%)

localize91.0ms (0.9%)

series135.0ms (1.4%)

rewrite851.0ms (8.7%)

simplify327.0ms (3.4%)

eval76.0ms (0.8%)

prune59.0ms (0.6%)

simplify17.0ms (0.2%)

localize26.0ms (0.3%)

series3.0ms (0%)

rewrite301.0ms (3.1%)

simplify554.0ms (5.7%)

eval51.0ms (0.5%)

prune54.0ms (0.6%)

regimes31.0ms (0.3%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch25.0ms (0.3%)

simplify10.0ms (0.1%)

soundness817.0ms (8.4%)

preprocess86.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	15	24
2	25	24
3	48	24
4	103	23
5	151	22
6	242	22
7	394	22
8	554	22
9	626	22
10	628	22
0	628	21

Iter	Nodes	Cost
0	8	18
1	14	18
2	26	17
3	49	15
4	76	15
5	110	15
6	158	15
7	238	15
8	307	15
9	386	15
10	393	15
0	393	15