Metrics for Main:bigenough2 from A

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample522.0ms (9.2%)

Memory

-2.3MiB live, 898.2MiB allocated

Samples

342.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-add: 86.0ms (55.9% of total)

ival-mult: 60.0ms (39% of total)

ival-true: 5.0ms (3.3% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess63.0ms (1.1%)

Memory

12.8MiB live, 49.4MiB allocated

Algorithm

2×	egg-herbie

Rules

414×	`distribute-rgt-in`
364×	`unsub-neg`
332×	`sub-neg`
240×	`associate-r`
228×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	77
1	99	70
2	314	70
3	746	70
4	1739	70
5	2487	70
6	2597	70
7	2597	70
0	6	7
1	15	7
2	26	7
3	35	7
4	39	7
5	45	7
6	45	7
7	58	7
8	58	7
9	70	7
10	72	7
11	76	7
0	76	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain68.0ms (1.2%)

Memory

26.4MiB live, 100.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

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

ival-add: 5.0ms (56.7% of total)

ival-mult: 3.0ms (34% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify15.0ms (0.3%)

Memory

-37.1MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 y (+.f64 z x))
✓	cost-diff	128	(+.f64 x (*.f64 y (+.f64 z x)))

Rules

92×	`accelerator-lowering-fma.f32`
92×	`accelerator-lowering-fma.f64`
60×	`-lowering-.f32`
60×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	18
2	26	18
3	35	18
4	39	18
5	45	18
6	45	18
7	58	18
8	58	18
9	70	18
10	72	18
11	76	18
0	76	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

27.5MiB live, 27.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 3.0ms (67.4% of total)

ival-mult: 2.0ms (44.9% of total)

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

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

series8.0ms (0.1%)

Memory

-30.0MiB live, 8.2MiB allocated

Counts

3 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite408.0ms (7.2%)

Memory

9.3MiB live, 570.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 948×	`accelerator-lowering-fma.f32`
4 948×	`accelerator-lowering-fma.f64`
4 672×	`-lowering-.f32`
4 672×	`-lowering-.f64`
3 162×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	38	15
2	348	15
3	4261	15
0	8618	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 245

Calls

Call 1

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

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

simplify370.0ms (6.5%)

Memory

4.1MiB live, 285.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 302×	`accelerator-lowering-fma.f32`
6 302×	`accelerator-lowering-fma.f64`
2 346×	`-lowering-.f32`
2 346×	`-lowering-.f64`
2 102×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	506
1	249	452
2	731	452
3	2098	452
4	4324	452
5	5687	452
6	6812	452
7	7730	452
0	8120	422

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: -12.9MiB live, 63.7MiB allocated
Compiler: Compiled 8 632 to 816 computations (90.5% saved)

prune39.0ms (0.7%)

Memory

8.4MiB live, 79.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	336	5	341
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	337	5	342

Accuracy

100.0%

Counts

342 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x z) y x)
▶	38.1%	(fma.f64 y z #s(literal 0 binary64))
▶	66.7%	(fma.f64 y x x)
▶	72.8%	(+.f64 x (*.f64 y z))
▶	37.3%	x

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify9.0ms (0.2%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

144×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
68×	`+-lowering-+.f64`
68×	`+-lowering-+.f32`
60×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	23	38
2	35	38
3	51	38
4	75	38
5	88	38
6	88	38
7	100	38
8	102	38
9	110	38
0	110	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (1%)

Memory

-3.4MiB live, 87.3MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

33.0ms

256×

valid

Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions

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

ival-add: 17.0ms (74% of total)

ival-mult: 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)

series5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite475.0ms (8.4%)

Memory

3.9MiB live, 710.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 724×	`accelerator-lowering-fma.f32`
10 724×	`accelerator-lowering-fma.f64`
5 264×	`-lowering-.f32`
5 264×	`-lowering-.f64`
3 832×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	76	26
2	700	26
0	8532	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 805

Calls

Call 1

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

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

simplify281.0ms (5%)

Memory

-22.4MiB live, 336.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 180×	`accelerator-lowering-fma.f32`
6 180×	`accelerator-lowering-fma.f64`
2 520×	`-lowering-.f32`
2 520×	`-lowering-.f64`
1 600×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	748
1	280	694
2	758	694
3	1985	694
4	4989	694
5	7128	694
0	8116	616

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval257.0ms (4.5%)

Memory: 7.7MiB live, 204.2MiB allocated
Compiler: Compiled 21 486 to 1 370 computations (93.6% saved)

prune142.0ms (2.5%)

Memory

22.2MiB live, 262.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	971	2	973
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	973	5	978

Accuracy

100.0%

Counts

978 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x z) y x)
▶	72.8%	(fma.f64 z y x)
✓	66.7%	(fma.f64 y x x)
▶	38.1%	(*.f64 z y)
✓	37.3%	x

Compiler

Compiled 33 to 20 computations (39.4% saved)

simplify4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (0.8%)

Memory

-0.4MiB live, 36.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

38.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.6% of total)

ival-add: 1.0ms (27.8% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

2 → 60

Calls

Call 1

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

Calls

15 calls:

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

rewrite853.0ms (15.1%)

Memory

-70.6MiB live, 931.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 221

Calls

Call 1

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

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

simplify566.0ms (10%)

Memory

53.8MiB live, 878.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 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)))

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)

eval32.0ms (0.6%)

Memory: -10.2MiB live, 66.5MiB allocated
Compiler: Compiled 10 007 to 513 computations (94.9% saved)

prune47.0ms (0.8%)

Memory

-27.7MiB live, 63.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	281	5	286

Accuracy

100.0%

Counts

286 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x z) y x)
✓	72.8%	(fma.f64 z y x)
✓	66.7%	(fma.f64 y x x)
✓	38.1%	(*.f64 z y)
✓	37.3%	x

Compiler

Compiled 70 to 35 computations (50% saved)

regimes13.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes34.0ms (0.6%)

Memory

-20.0MiB live, 18.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
88.4%	3	`x`
82.3%	4	`y`
86.7%	3	`z`
78.5%	2	`(+.f64 x (*.f64 y (+.f64 z x)))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.7%	1	`(+.f64 x (*.f64 y (+.f64 z x)))`
68.8%	2	`y`
78.1%	3	`z`
79.5%	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes23.0ms (0.4%)

Memory

-22.2MiB live, 15.8MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

4 calls:

2.0ms	x
2.0ms	y
1.0ms	z
1.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

Accuracy	Segments	Branch
49.2%	3	`(+.f64 x (*.f64 y (+.f64 z x)))`
60.8%	3	`y`
57.4%	3	`z`
54.9%	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch16.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.9370864476439744e-13	1.7690118418305328e-12
8.0ms	-4.2160550816795416e+107	-7.346733707251767e+105

Samples

8.0ms

208×

valid

Compiler

Compiled 221 to 142 computations (35.7% saved)

Precisions

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

ival-add: 2.0ms (57.9% of total)

ival-mult: 1.0ms (28.9% of total)

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

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

bsearch38.0ms (0.7%)

Memory

-18.3MiB live, 19.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.145034166500611e-126	1.1710794739668178e-123
29.0ms	-5.8342600115976e-72	-1.5163402571003686e-72

Samples

31.0ms

192×

valid

Compiler

Compiled 193 to 132 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 25.0ms (93.4% of total)

ival-mult: 1.0ms (3.7% of total)

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

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

bsearch23.0ms (0.4%)

Memory

-4.2MiB live, 34.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.155759727117244e-18	6.137448723607598e-17
10.0ms	-1.0589733848627414e-16	-1.0253170673799435e-22

Samples

13.0ms

256×

valid

Compiler

Compiled 205 to 156 computations (23.9% saved)

Precisions

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

ival-add: 3.0ms (65.4% of total)

ival-mult: 2.0ms (43.6% of total)

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

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

simplify8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not_binary32`
2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	37	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 x #s(literal -7500000000000000173510998794141741011341982861471608915791994614646614512478388275520310132322032597073920 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 4456584141427369/4951760157141521099596496896 binary64)) (fma.f64 z y x) (fma.f64 y x x)))
(if (<=.f64 x #s(literal -3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 2619875644949029/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 z y) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -75288304448755/2596148429267413814265248164610048 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) x (.f64 z y)))
x

Outputs
(fma.f64 (+.f64 x z) y x)
(if (<=.f64 x #s(literal -7500000000000000173510998794141741011341982861471608915791994614646614512478388275520310132322032597073920 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 4456584141427369/4951760157141521099596496896 binary64)) (fma.f64 z y x) (fma.f64 y x x)))
(if (<=.f64 x #s(literal -3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224 binary64)) (fma.f64 y x x) (if (<=.f64 x #s(literal 2619875644949029/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 z y) (fma.f64 y x x)))
(if (<=.f64 y #s(literal -75288304448755/2596148429267413814265248164610048 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 6490371073168535/162259276829213363391578010288128 binary64)) x (.f64 z y)))
x

soundness1.1s (19.6%)

Memory

-33.5MiB live, 507.6MiB allocated

Rules

10 724×	`accelerator-lowering-fma.f32`
10 724×	`accelerator-lowering-fma.f64`
6 302×	`accelerator-lowering-fma.f32`
6 302×	`accelerator-lowering-fma.f64`
5 264×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	506
1	249	452
2	731	452
3	2098	452
4	4324	452
5	5687	452
6	6812	452
7	7730	452
0	8120	422
0	6	15
1	38	15
2	348	15
3	4261	15
0	8618	14
0	12	26
1	76	26
2	700	26
0	8532	23

Stop Event

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

Compiler

Compiled 136 to 72 computations (47.1% saved)

preprocess58.0ms (1%)

Memory: 34.6MiB live, 72.7MiB allocated
Compiler: Compiled 148 to 64 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
1	15	18
2	26	18
3	35	18
4	39	18
5	45	18
6	45	18
7	58	18
8	58	18
9	70	18
10	72	18
11	76	18
0	76	17

Iter	Nodes	Cost
0	6	18
1	15	18
2	26	18
3	35	18
4	39	18
5	45	18
6	45	18
7	58	18
8	58	18
9	70	18
10	72	18
11	76	18
0	76	17

analyze0.0ms (0%)

sample522.0ms (9.2%)

preprocess63.0ms (1.1%)

explain68.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.3%)

localize17.0ms (0.3%)

series8.0ms (0.1%)

rewrite408.0ms (7.2%)

simplify370.0ms (6.5%)

eval39.0ms (0.7%)

prune39.0ms (0.7%)

simplify9.0ms (0.2%)

localize55.0ms (1%)

series5.0ms (0.1%)

rewrite475.0ms (8.4%)

simplify281.0ms (5%)

eval257.0ms (4.5%)

prune142.0ms (2.5%)

simplify4.0ms (0.1%)

localize43.0ms (0.8%)

series1.0ms (0%)

rewrite853.0ms (15.1%)

simplify566.0ms (10%)

eval32.0ms (0.6%)

prune47.0ms (0.8%)

regimes13.0ms (0.2%)

regimes34.0ms (0.6%)

regimes9.0ms (0.2%)

regimes23.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch16.0ms (0.3%)

bsearch38.0ms (0.7%)

bsearch23.0ms (0.4%)

simplify8.0ms (0.1%)

soundness1.1s (19.6%)

preprocess58.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	15	18
2	26	18
3	35	18
4	39	18
5	45	18
6	45	18
7	58	18
8	58	18
9	70	18
10	72	18
11	76	18
0	76	17