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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample735.0ms (11.2%)

Memory

25.4MiB live, 1 421.8MiB allocated

Samples

511.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-mult: 163.0ms (52.5% of total)

ival-sub: 93.0ms (30% of total)

ival-add: 39.0ms (12.6% of total)

ival-true: 6.0ms (1.9% of total)

exact: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess270.0ms (4.1%)

Memory

-8.2MiB live, 70.9MiB 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)))

explain92.0ms (1.4%)

Memory

11.4MiB live, 167.2MiB 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	42

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

37.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47% of total)

ival-add: 4.0ms (26.9% of total)

ival-sub: 3.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify37.0ms (0.6%)

Memory

-16.2MiB live, 58.3MiB 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

localize24.0ms (0.4%)

Memory

6.7MiB live, 45.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

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 (48.6% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% 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

12.7MiB live, 12.7MiB 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))

rewrite605.0ms (9.2%)

Memory

-24.5MiB live, 730.6MiB 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)))

simplify273.0ms (4.2%)

Memory

19.7MiB live, 412.8MiB 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))

eval48.0ms (0.7%)

Memory: -3.4MiB live, 110.9MiB allocated
Compiler: Compiled 11 654 to 1 109 computations (90.5% saved)

prune61.0ms (0.9%)

Memory

-22.7MiB live, 128.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	409	4	413
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	4	414

Accuracy

100.0%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 y z) z)
▶	39.8%	(fma.f64 x y #s(literal 0 binary64))
▶	72.3%	(+.f64 (*.f64 x y) z)
▶	34.9%	z

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify30.0ms (0.5%)

Memory

17.7MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 x (-.f64 y z) z)
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	192	(+.f64 (*.f64 x y) 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	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	293	31
7	431	31
8	646	31
9	728	31
10	748	31
0	748	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

-19.2MiB live, 62.7MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions

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

ival-add: 4.0ms (43.2% of total)

ival-mult: 4.0ms (43.2% of total)

ival-sub: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 144

Calls

Call 1

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

Outputs
#<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 (* 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 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)))))>

Calls

36 calls:

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

rewrite1.1s (16.4%)

Memory

37.0MiB live, 732.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 478×	`accelerator-lowering-fma.f32`
10 478×	`accelerator-lowering-fma.f64`
4 614×	`-lowering-.f32`
4 614×	`-lowering-.f64`
3 500×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	60	21
2	559	21
0	8068	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 938

Calls

Call 1

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

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

simplify397.0ms (6%)

Memory

-43.1MiB live, 488.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 030×	`accelerator-lowering-fma.f32`
8 030×	`accelerator-lowering-fma.f64`
2 852×	`-lowering-.f32`
2 852×	`-lowering-.f64`
1 830×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	588
1	264	585
2	744	585
3	2014	585
4	4193	585
5	5837	585
6	7164	585
0	8068	531

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
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)
(* 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 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)))))

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

eval126.0ms (1.9%)

Memory: 21.6MiB live, 242.1MiB allocated
Compiler: Compiled 27 589 to 1 547 computations (94.4% saved)

prune416.0ms (6.3%)

Memory

-222.8MiB live, 250.8MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 080	2	1 082
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 082	4	1 086

Accuracy

100.0%

Counts

1 086 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(fma.f64 y x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
▶	39.8%	(*.f64 y x)
✓	34.9%	z

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	0	(*.f64 y x)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	7	13
0	7	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.6%)

Memory

-0.6MiB live, 38.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	100.0%	(*.f64 y x)

Samples

10.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.4% of total)

ival-add: 1.0ms (29.2% of total)

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

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

series1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 60

Calls

Call 1

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

Outputs
#<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)))>

Calls

15 calls:

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

rewrite683.0ms (10.4%)

Memory

17.8MiB live, 931.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 338×	`accelerator-lowering-fma.f32`
18 338×	`accelerator-lowering-fma.f64`
4 372×	`-lowering-.f32`
4 372×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	20	8
2	150	8
3	1488	8
0	8307	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 221

Calls

Call 1

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

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

simplify709.0ms (10.8%)

Memory

-7.6MiB live, 990.0MiB allocated

Algorithm

1×	egg-herbie

Rules

29 414×	`accelerator-lowering-fma.f32`
29 414×	`accelerator-lowering-fma.f64`
3 816×	`+-lowering-+.f64`
3 816×	`+-lowering-+.f32`
2 880×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	226
1	103	226
2	284	226
3	738	226
4	2050	226
5	3217	226
6	4792	226
7	5788	226
8	6461	226
9	6720	226
0	8734	199

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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)))

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

eval57.0ms (0.9%)

Memory: -9.9MiB live, 66.9MiB allocated
Compiler: Compiled 10 007 to 513 computations (94.9% saved)

prune50.0ms (0.8%)

Memory

-11.2MiB live, 68.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	281	4	285

Accuracy

100.0%

Counts

285 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.3%	(fma.f64 y x z)
✓	100.0%	(fma.f64 x (-.f64 y z) z)
✓	39.8%	(*.f64 y x)
✓	34.9%	z

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes12.0ms (0.2%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(+.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)

regimes11.0ms (0.2%)

Memory

-15.8MiB live, 22.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x z)

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
72.3%	1	`x`
72.3%	1	`y`
72.3%	1	`z`
72.3%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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:

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

Results

Accuracy	Segments	Branch
54.6%	5	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
61.3%	3	`x`
55.2%	3	`y`
53.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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	y
1.0ms	x
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	z

Results

Accuracy	Segments	Branch
34.9%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
34.9%	1	`z`
34.9%	1	`y`
34.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch49.0ms (0.8%)

Memory

-17.5MiB live, 21.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.5021092475503337e-91	1.0253251546745237e-89
38.0ms	-1.184149680696516	-3.659008560642321e-5

Samples

40.0ms

240×

valid

Compiler

Compiled 195 to 149 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 31.0ms (91.1% of total)

ival-sub: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	19	24
2	24	24
3	26	24
4	27	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(fma.f64 y x z)
(if (<=.f64 x #s(literal -700976274800963/18446744073709551616 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 2408173546789575/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) z (.f64 y x)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(fma.f64 y x z)
(if (<=.f64 x #s(literal -700976274800963/18446744073709551616 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 2408173546789575/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) z (.f64 y x)))
(if (<=.f64 x #s(literal -700976274800963/18446744073709551616 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2408173546789575/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) z (.f64 x y)))
z

soundness664.0ms (10.1%)

Memory

-27.9MiB live, 336.4MiB allocated

Rules

10 478×	`accelerator-lowering-fma.f32`
10 478×	`accelerator-lowering-fma.f64`
7 472×	`accelerator-lowering-fma.f32`
7 472×	`accelerator-lowering-fma.f64`
4 614×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	60	21
2	559	21
0	8068	19
0	57	471
1	192	442
2	558	442
3	1393	442
4	3892	442
5	6309	442
0	8028	415

Stop Event

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

Compiler

Compiled 74 to 42 computations (43.2% saved)

preprocess29.0ms (0.4%)

Memory: 7.8MiB live, 83.0MiB allocated
Compiler: Compiled 82 to 42 computations (48.8% 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	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	293	31
7	431	31
8	646	31
9	728	31
10	748	31
0	748	29

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	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	293	31
7	431	31
8	646	31
9	728	31
10	748	31
0	748	29

analyze0.0ms (0%)

sample735.0ms (11.2%)

preprocess270.0ms (4.1%)

explain92.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.6%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

rewrite605.0ms (9.2%)

simplify273.0ms (4.2%)

eval48.0ms (0.7%)

prune61.0ms (0.9%)

simplify30.0ms (0.5%)

localize32.0ms (0.5%)

series5.0ms (0.1%)

rewrite1.1s (16.4%)

simplify397.0ms (6%)

eval126.0ms (1.9%)

prune416.0ms (6.3%)

simplify5.0ms (0.1%)

localize40.0ms (0.6%)

series1.0ms (0%)

rewrite683.0ms (10.4%)

simplify709.0ms (10.8%)

eval57.0ms (0.9%)

prune50.0ms (0.8%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch49.0ms (0.8%)

simplify9.0ms (0.1%)

soundness664.0ms (10.1%)

preprocess29.0ms (0.4%)

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	10	31
1	17	31
2	32	31
3	58	31
4	126	31
5	198	31
6	293	31
7	431	31
8	646	31
9	728	31
10	748	31
0	748	29