Metrics for Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample643.0ms (9%)

Memory

-4.6MiB live, 915.6MiB allocated

Samples

471.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-mult: 113.0ms (52.9% of total)

ival-sub: 54.0ms (25.3% of total)

ival-add: 37.0ms (17.3% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess114.0ms (1.6%)

Memory

-1.5MiB live, 82.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	79
1	71	70
2	210	70
3	708	70
4	1377	70
5	2179	70
6	2487	70
7	2519	70
8	2519	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	587	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 x) z))

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

Call 2

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

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

explain83.0ms (1.2%)

Memory

15.2MiB live, 92.8MiB allocated

FPErrors

Click to see full error table

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

25.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-sub: 3.0ms (31.6% of total)

ival-mult: 3.0ms (31.6% of total)

ival-add: 2.0ms (21.1% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify46.0ms (0.6%)

Memory

-7.0MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	10	18
2	21	18
3	48	18
4	85	18
5	131	18
6	221	18
7	370	18
8	587	18
9	674	18
10	696	18
0	696	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.4%)

Memory

-15.5MiB live, 34.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

21.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (43.4% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite540.0ms (7.5%)

Memory

26.8MiB live, 494.1MiB 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	10855	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 258

Calls

Call 1

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

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

simplify322.0ms (4.5%)

Memory

-14.6MiB live, 261.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 662×	`accelerator-lowering-fma.f32`
7 662×	`accelerator-lowering-fma.f64`
3 156×	`-lowering-.f32`
3 156×	`-lowering-.f64`
1 310×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	542
1	243	458
2	731	458
3	2074	458
4	4242	458
5	6021	458
6	7158	458
0	8072	431

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval61.0ms (0.8%)

Memory: -15.6MiB live, 62.4MiB allocated
Compiler: Compiled 9 840 to 954 computations (90.3% saved)

prune69.0ms (1%)

Memory

37.4MiB live, 74.9MiB 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 y x) z x)
▶	99.6%	(fma.f64 z y (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))
▶	39.9%	(fma.f64 y z #s(literal 0 binary64))
▶	76.1%	(+.f64 x (*.f64 y z))
▶	38.9%	x

Compiler

Compiled 80 to 50 computations (37.5% saved)

simplify32.0ms (0.4%)

Memory

-13.6MiB live, 24.2MiB 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 z (-.f64 #s(literal 0 binary64) x) x)
✓	cost-diff	384	(fma.f64 z y (fma.f64 z (-.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 y x)
✓	cost-diff	0	(fma.f64 (-.f64 y x) 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	15	50
1	31	50
2	66	49
3	96	49
4	153	49
5	238	49
6	377	49
7	530	49
8	682	49
9	692	49
0	692	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize58.0ms (0.8%)

Memory

-20.3MiB live, 60.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z (-.f64 #s(literal 0 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	99.6%	(fma.f64 z y (fma.f64 z (-.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 y x)
✓	accuracy	100.0%	(fma.f64 (-.f64 y x) z x)

Samples

34.0ms

256×

valid

Compiler

Compiled 55 to 17 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 11.0ms (48.1% of total)

ival-mult: 6.0ms (26.2% of total)

ival-add: 5.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

8 → 216

Calls

Call 1

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

Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (* y z)>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* z (- y x)))>
#<alt (+ x (* z (- y x)))>
#<alt (+ x (* z (- y x)))>
#<alt (* z (- y x))>
#<alt (* z (- (+ y (/ x z)) x))>
#<alt (* z (- (+ y (/ x z)) x))>
#<alt (* z (- (+ y (/ x z)) x))>
#<alt (* z (- y x))>
#<alt (* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y 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>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (* z (+ y (* -1 x)))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* -1 (* z (+ x (* -1 y))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (* y z)>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 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
0.0ms	y	@	0	(+ (* y z) 0)
0.0ms	y	@	inf	(+ (* y z) 0)
0.0ms	z	@	0	(+ (* z y) (+ (* z (- 0 x)) x))
0.0ms	x	@	inf	(+ (* z (- 0 x)) x)
0.0ms	z	@	0	(+ (* y z) 0)

rewrite2.6s (35.7%)

Memory

-4.5MiB live, 938.8MiB 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
(+ (* (- y x) z) x)
(- y x)
(+ (* y z) 0)
(+ x (* y z))
(* y z)
(+ (* z y) (+ (* z (- 0 x)) x))
(+ (* z (- 0 x)) x)
(- 0 x)

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

simplify359.0ms (5%)

Memory

2.3MiB live, 476.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 100×	`accelerator-lowering-fma.f32`
8 100×	`accelerator-lowering-fma.f64`
2 762×	`-lowering-.f32`
2 762×	`-lowering-.f64`
1 614×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	974
1	325	947
2	873	947
3	2239	947
4	4329	947
5	6028	947
6	7447	947
0	8166	866

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

eval242.0ms (3.4%)

Memory: 13.5MiB live, 432.1MiB allocated
Compiler: Compiled 58 790 to 2 224 computations (96.2% saved)

prune155.0ms (2.2%)

Memory

10.5MiB live, 381.2MiB 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 y x) z x)
▶	99.6%	(fma.f64 z y (fma.f64 z (neg.f64 x) x))
▶	76.1%	(fma.f64 z y x)
▶	39.9%	(*.f64 z y)
✓	38.9%	x

Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify32.0ms (0.4%)

Memory

-9.4MiB live, 69.1MiB 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 z (neg.f64 x) x)
✓	cost-diff	384	(fma.f64 z y (fma.f64 z (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	81	30
4	129	30
5	241	30
6	386	30
7	554	30
8	630	30
9	640	30
0	640	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize29.0ms (0.4%)

Memory

-18.8MiB live, 60.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z (neg.f64 x) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.6%	(fma.f64 z y (fma.f64 z (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 (47.6% 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)

series2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (* z y)>
#<alt (+ (* z y) x)>
#<alt (+ (* z y) (+ (* z (neg x)) x))>
#<alt (+ (* z (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>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (+ x (* z (+ y (* -1 x))))>
#<alt (* z (+ y (* -1 x)))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* z (+ y (+ (* -1 x) (/ x z))))>
#<alt (* -1 (* z (+ x (* -1 y))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y z)))>
#<alt (* y z)>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 z) (/ (* y z) x))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 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
0.0ms	z	@	0	(* z y)
0.0ms	x	@	-inf	(+ (* z y) (+ (* z (neg x)) x))
0.0ms	x	@	inf	(+ (* z y) (+ (* z (neg x)) x))
0.0ms	x	@	inf	(+ (* z (neg x)) x)
0.0ms	z	@	inf	(+ (* z y) (+ (* z (neg x)) x))

rewrite460.0ms (6.4%)

Memory

29.9MiB live, 780.2MiB 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	7318	22
0	8604	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 301

Calls

Call 1

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

simplify266.0ms (3.7%)

Memory

-32.9MiB live, 539.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 072×	`accelerator-lowering-fma.f32`
9 072×	`accelerator-lowering-fma.f64`
3 292×	`-lowering-.f32`
3 292×	`-lowering-.f64`
1 010×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	641
1	257	588
2	668	588
3	1659	588
4	4081	588
5	6241	588
0	8247	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
(+ x (* z (+ y (* -1 x))))
(+ x (* z (+ y (* -1 x))))
(+ x (* z (+ y (* -1 x))))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ x z))))
(* z (+ y (+ (* -1 x) (/ x z))))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(* y z)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(+ (* x (+ 1 (* -1 z))) (* y z))
(+ (* x (+ 1 (* -1 z))) (* y z))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 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
(+ x (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) x)
(+ x (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) x)
(+ x (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) x)
(* z (+ y (* -1 x)))
(fma.f64 z (-.f64 y x) #s(literal 0 binary64))
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 z (-.f64 y x) x)
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 z (-.f64 y x) x)
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ x (* -1 y))))
(fma.f64 z (-.f64 y x) #s(literal 0 binary64))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 z (-.f64 y x) x)
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 z (-.f64 y x) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 z (-.f64 y x) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 z (-.f64 y x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 z (-.f64 y x) x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 z (-.f64 y x) x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 z (-.f64 y x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 z (-.f64 y x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 z (-.f64 y x) x)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 z (-.f64 y x) x)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 z (-.f64 y x) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 z (-.f64 y x) x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 z (-.f64 y x) x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 z (-.f64 y x) x)
x
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(fma.f64 z (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(fma.f64 z (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval52.0ms (0.7%)

Memory: 13.0MiB live, 130.5MiB allocated
Compiler: Compiled 12 174 to 835 computations (93.1% saved)

prune43.0ms (0.6%)

Memory

1.5MiB live, 118.8MiB 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 y x) z x)
✓	99.6%	(fma.f64 z y (fma.f64 z (neg.f64 x) x))
✓	76.1%	(fma.f64 z y x)
✓	39.9%	(*.f64 z y)
✓	38.9%	x

Compiler

Compiled 87 to 41 computations (52.9% saved)

regimes34.0ms (0.5%)

Memory

-17.1MiB live, 25.0MiB 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 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z y (fma.f64 z (neg.f64 x) x))
(fma.f64 z y (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))

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

Calls

4 calls:

23.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB 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:

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

Results

Accuracy	Segments	Branch
76.1%	1	`x`
76.1%	1	`y`
76.1%	1	`z`
76.1%	1	`(+.f64 x (*.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes20.0ms (0.3%)

Memory

-21.0MiB live, 18.2MiB 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:

14.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
58.1%	3	`x`
59.3%	3	`y`
62.4%	3	`z`
50.8%	3	`(+.f64 x (*.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB 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	z
1.0ms	x
1.0ms	y
1.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
38.9%	1	`(+.f64 x (*.f64 (-.f64 y x) z))`
38.9%	1	`x`
38.9%	1	`y`
38.9%	1	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch22.0ms (0.3%)

Memory

14.2MiB live, 52.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.092931982659375e-65	1.7100673794486973e-57
10.0ms	-1.8759653930723034e-23	-7.437930688613291e-27

Samples

11.0ms

272×

valid

Compiler

Compiled 217 to 165 computations (24% saved)

Precisions

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

ival-sub: 2.0ms (41% of total)

ival-mult: 2.0ms (41% of total)

ival-add: 1.0ms (20.5% of total)

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

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

simplify9.0ms (0.1%)

Memory

-19.1MiB live, 19.6MiB 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 y x) z x)
(fma.f64 z y x)
(if (<=.f64 z #s(literal -8575115646407649/1361129467683753853853498429727072845824 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 6007280020246507/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) x (.f64 z y)))
x

Outputs
(fma.f64 (-.f64 y x) z x)
(fma.f64 z y x)
(if (<=.f64 z #s(literal -8575115646407649/1361129467683753853853498429727072845824 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 6007280020246507/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) x (.f64 z y)))
(if (<=.f64 z #s(literal -8575115646407649/1361129467683753853853498429727072845824 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 6007280020246507/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) x (.f64 y z)))
x

soundness800.0ms (11.2%)

Memory

-5.3MiB live, 479.4MiB allocated

Rules

7 662×	`accelerator-lowering-fma.f32`
7 662×	`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	15	36
1	109	36
2	1126	36
0	8341	32
0	73	542
1	243	458
2	731	458
3	2074	458
4	4242	458
5	6021	458
6	7158	458
0	8072	431
0	6	15
1	33	15
2	283	15
3	3816	15
0	10855	14

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)

preprocess47.0ms (0.7%)

Memory: -0.3MiB live, 116.1MiB 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	587	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	238	49
6	377	49
7	530	49
8	682	49
9	692	49
0	692	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	81	30
4	129	30
5	241	30
6	386	30
7	554	30
8	630	30
9	640	30
0	640	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	587	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	238	49
6	377	49
7	530	49
8	682	49
9	692	49
0	692	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	81	30
4	129	30
5	241	30
6	386	30
7	554	30
8	630	30
9	640	30
0	640	28

analyze0.0ms (0%)

sample643.0ms (9%)

preprocess114.0ms (1.6%)

explain83.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.6%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

rewrite540.0ms (7.5%)

simplify322.0ms (4.5%)

eval61.0ms (0.8%)

prune69.0ms (1%)

simplify32.0ms (0.4%)

localize58.0ms (0.8%)

series7.0ms (0.1%)

rewrite2.6s (35.7%)

simplify359.0ms (5%)

eval242.0ms (3.4%)

prune155.0ms (2.2%)

simplify32.0ms (0.4%)

localize29.0ms (0.4%)

series2.0ms (0%)

rewrite460.0ms (6.4%)

simplify266.0ms (3.7%)

eval52.0ms (0.7%)

prune43.0ms (0.6%)

regimes34.0ms (0.5%)

regimes10.0ms (0.1%)

regimes20.0ms (0.3%)

regimes5.0ms (0.1%)

bsearch22.0ms (0.3%)

simplify9.0ms (0.1%)

soundness800.0ms (11.2%)

preprocess47.0ms (0.7%)

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	587	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	238	49
6	377	49
7	530	49
8	682	49
9	692	49
0	692	46

Iter	Nodes	Cost
0	9	34
1	22	31
2	42	30
3	81	30
4	129	30
5	241	30
6	386	30
7	554	30
8	630	30
9	640	30
0	640	28