Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.5s (34.3%)

Memory

-25.0MiB live, 811.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 87.0ms (46% of total)

ival-sub: 56.0ms (29.6% of total)

ival-add: 37.0ms (19.6% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess84.0ms (1.1%)

Memory

9.5MiB live, 126.3MiB allocated

Algorithm

2×	egg-herbie

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
458×	`distribute-rgt-in`
360×	`unsub-neg`
322×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	71	70
2	210	70
3	702	70
4	1376	70
5	2167	70
6	2470	70
7	2502	70
8	2502	70
0	6	7
1	10	7
2	21	7
3	48	7
4	85	7
5	131	7
6	221	7
7	370	7
8	586	7
9	674	7
10	696	7
0	696	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain77.0ms (1.1%)

Memory

20.8MiB live, 104.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
-	-	`y`
-	-	`(*.f64 y (-.f64 z x))`
-	-	`(-.f64 z x)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-sub: 3.0ms (31.5% of total)

ival-mult: 3.0ms (31.5% of total)

ival-add: 2.0ms (21% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify32.0ms (0.4%)

Memory

-10.7MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y (-.f64 z x))
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	192	(+.f64 x (*.f64 y (-.f64 z x)))

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	6	18
1	10	18
2	21	18
3	48	18
4	85	18
5	131	18
6	221	18
7	370	18
8	586	18
9	674	18
10	696	18
0	696	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

-8.9MiB live, 28.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (41.8% of total)

ival-mult: 2.0ms (41.8% of total)

ival-add: 1.0ms (20.9% of total)

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

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

series6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite358.0ms (4.9%)

Memory

3.6MiB live, 522.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 196×	`-lowering-.f32`
6 196×	`-lowering-.f64`
4 406×	`accelerator-lowering-fma.f32`
4 406×	`accelerator-lowering-fma.f64`
3 688×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	33	15
2	283	15
3	3816	15
0	10870	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 258

Calls

Call 1

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

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

simplify249.0ms (3.4%)

Memory

22.5MiB live, 327.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 696×	`accelerator-lowering-fma.f32`
7 696×	`accelerator-lowering-fma.f64`
3 292×	`-lowering-.f32`
3 292×	`-lowering-.f64`
1 248×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	542
1	242	458
2	728	458
3	2046	458
4	4205	458
5	5991	458
6	7374	458
0	8195	431

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval41.0ms (0.6%)

Memory: 9.6MiB live, 84.8MiB allocated
Compiler: Compiled 9 840 to 953 computations (90.3% saved)

prune60.0ms (0.8%)

Memory

-7.9MiB live, 90.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	349	5	354
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	5	355

Accuracy

100.0%

Counts

355 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	97.7%	(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
▶	38.0%	(fma.f64 y z #s(literal 0 binary64))
▶	72.8%	(+.f64 x (*.f64 y z))
▶	37.3%	x

Compiler

Compiled 80 to 50 computations (37.5% saved)

simplify35.0ms (0.5%)

Memory

-20.6MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

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	15	50
1	31	50
2	66	49
3	96	49
4	153	49
5	237	49
6	376	49
7	529	49
8	683	49
9	691	49
0	691	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

14.7MiB live, 94.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 0 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	97.7%	(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
✓	accuracy	100.0%	(fma.f64 y z #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(fma.f64 (-.f64 z x) y x)

Samples

33.0ms

256×

valid

Compiler

Compiled 55 to 17 computations (69.1% saved)

Precisions

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

ival-add: 9.0ms (48.9% of total)

ival-mult: 6.0ms (32.6% of total)

ival-sub: 3.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-15.8MiB live, 22.7MiB allocated

Counts

8 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(+ (* z y) (+ (* y (- 0 x)) x))
1.0ms	x	@	inf	(+ (* y (- 0 x)) x)
0.0ms	x	@	0	(+ (* z y) (+ (* y (- 0 x)) x))
0.0ms	y	@	0	(+ (* y z) 0)
0.0ms	z	@	inf	(+ (* y z) 0)

rewrite964.0ms (13.2%)

Memory

-32.6MiB live, 850.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 140×	`accelerator-lowering-fma.f32`
6 140×	`accelerator-lowering-fma.f64`
5 016×	`-lowering-.f32`
5 016×	`-lowering-.f64`
4 616×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	109	36
2	1126	36
0	8341	32

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 423

Calls

Call 1

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

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

simplify285.0ms (3.9%)

Memory

29.8MiB live, 492.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 032×	`accelerator-lowering-fma.f32`
8 032×	`accelerator-lowering-fma.f64`
2 790×	`-lowering-.f32`
2 790×	`-lowering-.f64`
1 576×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	974
1	322	947
2	872	947
3	2205	947
4	4272	947
5	5980	947
6	7360	947
0	8060	866

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval234.0ms (3.2%)

Memory: -23.9MiB live, 376.8MiB allocated
Compiler: Compiled 58 790 to 2 224 computations (96.2% saved)

prune175.0ms (2.4%)

Memory

28.4MiB live, 300.6MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 636	3	1 639
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 639	5	1 644

Accuracy

100.0%

Counts

1 644 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	97.7%	(fma.f64 z y (fma.f64 y (neg.f64 x) x))
▶	72.8%	(fma.f64 z y x)
▶	38.0%	(*.f64 z y)
✓	37.3%	x

Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify30.0ms (0.4%)

Memory

-5.2MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

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	9	34
1	22	31
2	42	30
3	80	30
4	128	30
5	239	30
6	385	30
7	552	30
8	628	30
9	638	30
0	638	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize30.0ms (0.4%)

Memory

17.7MiB live, 54.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	97.7%	(fma.f64 z y (fma.f64 y (neg.f64 x) x))
✓	accuracy	100.0%	(fma.f64 z y x)
✓	accuracy	100.0%	(*.f64 z y)

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions

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

ival-add: 5.0ms (47.5% of total)

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

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

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

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

series4.0ms (0%)

Memory

-33.0MiB live, 4.8MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* z y) x)
0.0ms	y	@	-inf	(+ (* z y) (+ (* y (neg x)) x))
0.0ms	x	@	inf	(+ (* z y) (+ (* y (neg x)) x))
0.0ms	x	@	-inf	(+ (* z y) x)
0.0ms	x	@	-inf	(+ (* z y) (+ (* y (neg x)) x))

rewrite561.0ms (7.7%)

Memory

19.4MiB live, 676.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 836×	`accelerator-lowering-fma.f32`
9 836×	`accelerator-lowering-fma.f64`
4 870×	`-lowering-.f32`
4 870×	`-lowering-.f64`
3 180×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	55	23
2	492	22
3	7327	22
0	8613	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 301

Calls

Call 1

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

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

simplify289.0ms (4%)

Memory

-10.8MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 376×	`accelerator-lowering-fma.f32`
7 376×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
1 090×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	641
1	255	588
2	673	588
3	1664	588
4	4112	588
5	6313	588
0	8023	534

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval99.0ms (1.4%)

Memory: -10.4MiB live, 104.5MiB allocated
Compiler: Compiled 12 152 to 838 computations (93.1% saved)

prune120.0ms (1.6%)

Memory

1.8MiB live, 119.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	433	5	438

Accuracy

100.0%

Counts

438 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	97.7%	(fma.f64 z y (fma.f64 y (neg.f64 x) x))
✓	72.8%	(fma.f64 z y x)
✓	38.0%	(*.f64 z y)
✓	37.3%	x

Compiler

Compiled 87 to 41 computations (52.9% saved)

regimes14.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes17.0ms (0.2%)

Memory

-16.7MiB live, 23.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 z y x)

Calls

4 calls:

9.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
72.8%	1	`x`
72.8%	1	`y`
72.8%	1	`z`
72.8%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

-17.8MiB live, 19.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
2.0ms	x
2.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
2.0ms	z

Results

Accuracy	Segments	Branch
60.7%	3	`y`
49.2%	3	`(+.f64 x (*.f64 y (-.f64 z x)))`
54.8%	3	`x`
57.5%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
37.3%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
37.3%	1	`x`
37.3%	1	`z`
37.3%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch21.0ms (0.3%)

Memory

9.1MiB live, 48.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.155759727117244e-18	6.137448723607598e-17
11.0ms	-1.0589733848627414e-16	-1.0253170673799435e-22

Samples

12.0ms

256×

valid

Compiler

Compiled 205 to 156 computations (23.9% saved)

Precisions

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

ival-mult: 3.0ms (53% of total)

ival-sub: 1.0ms (17.7% of total)

ival-add: 1.0ms (17.7% of total)

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

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

simplify9.0ms (0.1%)

Memory

-16.8MiB live, 21.9MiB 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 (-.f64 z x) y x)
(fma.f64 z y x)
(if (<=.f64 y #s(literal -8437482395119095/324518553658426726783156020576256 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 4137611559144941/162259276829213363391578010288128 binary64)) x (.f64 z y)))
x

Outputs
(fma.f64 (-.f64 z x) y x)
(fma.f64 z y x)
(if (<=.f64 y #s(literal -8437482395119095/324518553658426726783156020576256 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 4137611559144941/162259276829213363391578010288128 binary64)) x (.f64 z y)))
x

soundness835.0ms (11.4%)

Memory

26.6MiB live, 467.9MiB allocated

Rules

7 696×	`accelerator-lowering-fma.f32`
7 696×	`accelerator-lowering-fma.f64`
6 196×	`-lowering-.f32`
6 196×	`-lowering-.f64`
6 140×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	542
1	242	458
2	728	458
3	2046	458
4	4205	458
5	5991	458
6	7374	458
0	8195	431
0	6	15
1	33	15
2	283	15
3	3816	15
0	10870	14
0	15	36
1	109	36
2	1126	36
0	8341	32

Stop Event

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

Compiler

Compiled 74 to 42 computations (43.2% saved)

preprocess75.0ms (1%)

Memory: -22.1MiB live, 89.7MiB allocated
Compiler: Compiled 78 to 38 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
1	10	18
2	21	18
3	48	18
4	85	18
5	131	18
6	221	18
7	370	18
8	586	18
9	674	18
10	696	18
0	696	17

Iter	Nodes	Cost
0	15	50
1	31	50
2	66	49
3	96	49
4	153	49
5	237	49
6	376	49
7	529	49
8	683	49
9	691	49
0	691	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	80	30
4	128	30
5	239	30
6	385	30
7	552	30
8	628	30
9	638	30
0	638	28

Iter	Nodes	Cost
0	6	18
1	10	18
2	21	18
3	48	18
4	85	18
5	131	18
6	221	18
7	370	18
8	586	18
9	674	18
10	696	18
0	696	17

Iter	Nodes	Cost
0	15	50
1	31	50
2	66	49
3	96	49
4	153	49
5	237	49
6	376	49
7	529	49
8	683	49
9	691	49
0	691	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	80	30
4	128	30
5	239	30
6	385	30
7	552	30
8	628	30
9	638	30
0	638	28

analyze0.0ms (0%)

sample2.5s (34.3%)

preprocess84.0ms (1.1%)

explain77.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify32.0ms (0.4%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

rewrite358.0ms (4.9%)

simplify249.0ms (3.4%)

eval41.0ms (0.6%)

prune60.0ms (0.8%)

simplify35.0ms (0.5%)

localize48.0ms (0.7%)

series11.0ms (0.2%)

rewrite964.0ms (13.2%)

simplify285.0ms (3.9%)

eval234.0ms (3.2%)

prune175.0ms (2.4%)

simplify30.0ms (0.4%)

localize30.0ms (0.4%)

series4.0ms (0%)

rewrite561.0ms (7.7%)

simplify289.0ms (4%)

eval99.0ms (1.4%)

prune120.0ms (1.6%)

regimes14.0ms (0.2%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.3%)

simplify9.0ms (0.1%)

soundness835.0ms (11.4%)

preprocess75.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	10	18
2	21	18
3	48	18
4	85	18
5	131	18
6	221	18
7	370	18
8	586	18
9	674	18
10	696	18
0	696	17

Iter	Nodes	Cost
0	15	50
1	31	50
2	66	49
3	96	49
4	153	49
5	237	49
6	376	49
7	529	49
8	683	49
9	691	49
0	691	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	80	30
4	128	30
5	239	30
6	385	30
7	552	30
8	628	30
9	638	30
0	638	28