Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 17 to 10 computations (41.2% saved)

sample708.0ms (13.3%)

Memory

34.6MiB live, 1 296.2MiB allocated

Samples

425.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-add: 122.0ms (49.6% of total)

ival-mult: 115.0ms (46.8% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess73.0ms (1.4%)

Memory

13.3MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Rules

726×	`unsub-neg`
312×	`sub-neg`
286×	`associate-+l-`
256×	`cancel-sign-sub`
210×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Symmetry

(abs z)

(sort x y)

explain353.0ms (6.6%)

Memory

-5.5MiB live, 192.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	10	0
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	79
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	101
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	101
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	158
↳	`(*.f64 z z)`	overflow	79
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	101
↳	`(*.f64 x y)`	overflow	36
↳	`(*.f64 z z)`	overflow	79
↳	`(*.f64 z z)`	overflow	79

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	8
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 124 to 36 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 6.0ms (46.5% of total)

ival-mult: 6.0ms (46.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify7.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	320	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	384	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Rules

58×	`lower-fma.f64`
58×	`lower-fma.f32`
36×	`lower-+.f32`
30×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 x y (*.f64 z (+.f64 z z)))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 x y (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

localize25.0ms (0.5%)

Memory

-5.5MiB live, 39.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	96.7%	(+.f64 (.f64 x y) (.f64 z z))

Samples

16.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-add: 3.0ms (47.2% of total)

ival-mult: 3.0ms (47.2% of total)

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

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

series19.0ms (0.3%)

Memory

-28.9MiB live, 10.0MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))>
#<alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))>
#<alt (+.f64 (.f64 x y) (.f64 z z))>
#<alt (*.f64 x y)>

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

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(* x y)
1.0ms	y	@	inf	(* x y)
1.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	y	@	-inf	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	x	@	inf	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite413.0ms (7.7%)

Memory

35.2MiB live, 665.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
4 638×	`lower-*.f32`
4 634×	`lower-*.f64`
3 250×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

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

simplify224.0ms (4.2%)

Memory

-13.7MiB live, 351.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
4 020×	`lower-*.f64`
4 020×	`lower-*.f32`
1 038×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval206.0ms (3.9%)

Memory: 16.7MiB live, 92.5MiB allocated
Compiler: Compiled 16 352 to 1 000 computations (93.9% saved)

prune184.0ms (3.4%)

Memory

-9.9MiB live, 103.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
	96.8%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
	99.1%	(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	96.0%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	74.2%	(+.f64 (.f64 x y) (.f64 z z))
▶	59.9%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	46.5%	(*.f64 x y)

Compiler

Compiled 146 to 88 computations (39.7% saved)

simplify7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 x y (*.f64 z z))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	256	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Rules

58×	`lower-fma.f32`
52×	`lower-fma.f64`
36×	`lower-+.f32`
32×	`lower-+.f64`
30×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	74
0	21	77
1	34	77
2	46	71
3	55	71
4	57	71
0	57	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 z z)
z
(fma.f64 x y (*.f64 z z))
x
y
(*.f64 z z)
(*.f64 x y)
x
y
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
x
y

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(+.f64 z z)
z
(fma.f64 x y (*.f64 z z))
x
y
(*.f64 z z)
(*.f64 x y)
x
y
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 x y (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
#s(literal 3 binary64)
(*.f64 z z)
z
(*.f64 x y)
x
y

localize57.0ms (1.1%)

Memory

-24.8MiB live, 60.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	96.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	96.7%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
✓	accuracy	99.2%	(fma.f64 x y (*.f64 z z))

Samples

27.0ms

256×

valid

Compiler

Compiled 81 to 15 computations (81.5% saved)

Precisions

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

ival-mult: 10.0ms (66.7% of total)

ival-add: 4.0ms (26.7% 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

7.6MiB live, 7.6MiB allocated

Counts

8 → 204

Calls

Call 1

Inputs
#<alt (fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))>
#<alt (+.f64 z z)>
#<alt (fma.f64 x y (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (*.f64 x y)>
#<alt (.f64 (.f64 z z) #s(literal 3 binary64))>
#<alt (+.f64 (.f64 x y) (.f64 z z))>
#<alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))>

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

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+ z z)
0.0ms	z	@	inf	(* (* z z) 3)
0.0ms	z	@	0	(+ z z)
0.0ms	z	@	inf	(+ (* (+ z z) z) (+ (* x y) (* z z)))
0.0ms	z	@	0	(* (* z z) 3)

rewrite58.0ms (1.1%)

Memory

19.2MiB live, 95.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

652×	`lower-fma.f32`
646×	`lower-fma.f64`
406×	`lower-*.f32`
400×	`lower-*.f64`
208×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	21	45
1	76	44
0	661	43

Stop Event

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

Counts

8 → 115

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 z z)
(fma.f64 x y (*.f64 z z))
(*.f64 z z)
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Outputs
(+.f64 (*.f64 z z) (fma.f64 x y (+.f64 z z)))
(+.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z))
(+.f64 (*.f64 x y) (fma.f64 z z (+.f64 z z)))
(+.f64 (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(+.f64 (fma.f64 x y (+.f64 z z)) (*.f64 z z))
(+.f64 (fma.f64 z #s(literal 2 binary64) (.f64 z z)) (.f64 x y))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (/.f64 (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))))
(fma.f64 z z (fma.f64 x y (+.f64 z z)))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 z #s(literal 2 binary64) (fma.f64 z z (*.f64 x y)))
(fma.f64 x y (fma.f64 z z (+.f64 z z)))
(fma.f64 y x (fma.f64 z z (+.f64 z z)))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (fma.f64 z z (.f64 x y)))
(fma.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))) (+.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z (.f64 x y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))
(fma.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z))) (+.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 x y (+.f64 z z)))
(/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z)))))
(/.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z))))) (neg.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y)))) (neg.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (+.f64 z z)) #s(literal 3 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (fma.f64 x y (+.f64 z z)) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (*.f64 (+.f64 z z) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y)) (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z)))
(/.f64 (-.f64 (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (fma.f64 x y (+.f64 z z)) (*.f64 z z)))
(.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))))
(+.f64 z z)
(+.f64 (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(*.f64 #s(literal 2 binary64) z)
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 z z) (.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 z z) (.f64 x y)))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(+.f64 (.f64 z z) (.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 z z) (.f64 x y)))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z))))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (fma.f64 x (.f64 y (.f64 x y)) (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 (.f64 z z) (.f64 #s(literal 3 binary64) (.f64 x y))))))
(/.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (neg.f64 (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (neg.f64 (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (neg.f64 (.f64 x (.f64 y (*.f64 x y)))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 9 binary64)))))
(.f64 (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (neg.f64 (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))

simplify374.0ms (7%)

Memory

8.3MiB live, 411.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 632×	`lower-fma.f64`
8 632×	`lower-fma.f32`
3 898×	`lower-*.f64`
3 898×	`lower-*.f32`
1 204×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1192
1	246	1192
2	752	1192
3	2172	1192
4	5648	1192
0	8258	1084

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval99.0ms (1.9%)

Memory: 2.9MiB live, 80.6MiB allocated
Compiler: Compiled 4 789 to 258 computations (94.6% saved)

prune79.0ms (1.5%)

Memory

0.1MiB live, 41.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	413	6	419
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	418	8	426

Accuracy

100.0%

Counts

426 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(fma.f64 (+.f64 z z) z (*.f64 z z))
▶	75.6%	(fma.f64 (+.f64 z z) z (*.f64 x y))
▶	75.0%	(fma.f64 z z (*.f64 x y))
▶	99.1%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	59.9%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	59.9%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	38.5%	(*.f64 z z)
✓	46.5%	(*.f64 x y)

Compiler

Compiled 126 to 78 computations (38.1% saved)

simplify64.0ms (1.2%)

Memory

-27.9MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.f64 z z)
✓	cost-diff	(fma.f64 (+.f64 z z) z (*.f64 x y))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(fma.f64 z z (*.f64 x y))
✓	cost-diff	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))

Rules

34×	`lower-fma.f32`
30×	`lower-*.f32`
28×	`lower-fma.f64`
20×	`lower-*.f64`
20×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
0	24	63
1	36	63
2	40	63
3	43	63
0	43	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
y
x
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(*.f64 z z)
z
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z (*.f64 x y))
z
(*.f64 x y)
x
y
(fma.f64 (+.f64 z z) z (*.f64 x y))
(+.f64 z z)
z
(*.f64 x y)
x
y

Outputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
y
x
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(*.f64 z z)
z
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z (*.f64 x y))
(fma.f64 y x (*.f64 z z))
z
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 z (+.f64 z z) (*.f64 y x))
(+.f64 z z)
z
(*.f64 x y)
(*.f64 y x)
x
y

localize78.0ms (1.5%)

Memory

-7.2MiB live, 112.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	96.9%	(fma.f64 (+.f64 z z) z (*.f64 x y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	96.9%	(fma.f64 z z (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	99.2%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (64% of total)

ival-add: 5.0ms (32% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

9 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))>
#<alt (.f64 (.f64 z z) #s(literal 3 binary64))>
#<alt (*.f64 z z)>
#<alt (.f64 (.f64 z #s(literal 3 binary64)) z)>
#<alt (*.f64 z #s(literal 3 binary64))>
#<alt (fma.f64 z z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (fma.f64 (+.f64 z z) z (*.f64 x y))>
#<alt (+.f64 z z)>

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

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* z 3)
0.0ms	z	@	0	(* z 3)
0.0ms	z	@	inf	(* z 3)
0.0ms	x	@	-inf	(+ (* y x) (* (* z z) 3))
0.0ms	y	@	inf	(+ (* y x) (* (* z z) 3))

rewrite63.0ms (1.2%)

Memory

10.7MiB live, 88.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

634×	`lower-fma.f32`
628×	`lower-fma.f64`
356×	`lower-*.f32`
346×	`lower-*.f64`
178×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	24	44
1	83	43
0	587	42

Stop Event

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

Counts

9 → 94

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(*.f64 x y)
(fma.f64 (+.f64 z z) z (*.f64 x y))
(+.f64 z z)

Outputs
(+.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (*.f64 z #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))
(fma.f64 y x (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (fma.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (.f64 x (.f64 z (.f64 z #s(literal 3 binary64))))))))
(/.f64 (.f64 (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) (neg.f64 (fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))))) (neg.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z))) (.f64 (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x)) (fma.f64 y x (.f64 #s(literal -3 binary64) (*.f64 z z))))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 y x)))
(.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (-.f64 (.f64 z (.f64 z #s(literal 3 binary64))) (.f64 y x)) (.f64 y (.f64 x (*.f64 y x))))))
(.f64 (.f64 (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 y x)) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (.f64 #s(literal -3 binary64) (.f64 z z)))))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(+.f64 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 z z))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 z z) (.f64 y x))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 z z) (.f64 y x))))
(fma.f64 y x (*.f64 z z))
(fma.f64 x y (*.f64 z z))
(fma.f64 z z (*.f64 y x))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 y x))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z z)))))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (fma.f64 y (.f64 x (.f64 y x)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 (*.f64 z z) y) x))))
(/.f64 (.f64 (fma.f64 y x (.f64 z z)) (-.f64 (.f64 z z) (.f64 y x))) (-.f64 (.f64 z z) (.f64 y x)))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x)))))) (neg.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 y x (.f64 z z)) (-.f64 (.f64 z z) (.f64 y x)))) (neg.f64 (-.f64 (.f64 z z) (.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z z)))) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y x) (.f64 y (.f64 x (*.f64 y x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 y x)) (.f64 (fma.f64 y x (.f64 z z)) (-.f64 (.f64 z z) (.f64 y x)))))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (.f64 y x) (.f64 z z)))
(.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 z z))))))
(.f64 (.f64 (fma.f64 y x (.f64 z z)) (-.f64 (.f64 z z) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 y x))))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (+.f64 z z))
(+.f64 (+.f64 z z) (*.f64 y x))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 y x))) (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (+.f64 z z) (.f64 y x))))
(fma.f64 y x (+.f64 z z))
(fma.f64 x y (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 y x))
(fma.f64 z #s(literal 2 binary64) (*.f64 y x))
(fma.f64 (+.f64 z z) z (*.f64 y x))
(fma.f64 #s(literal 2 binary64) z (*.f64 y x))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y x))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (fma.f64 y (.f64 x (.f64 y x)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (*.f64 y x) (+.f64 z z)))))
(/.f64 (.f64 (fma.f64 y x (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 y x))) (-.f64 (+.f64 z z) (*.f64 y x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z))))) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y x (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 y x)))) (neg.f64 (-.f64 (+.f64 z z) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (*.f64 (+.f64 z z) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z z) (.f64 y x)) (.f64 (fma.f64 y x (+.f64 z z)) (-.f64 (+.f64 z z) (*.f64 y x)))))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (*.f64 y x) (+.f64 z z)))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(.f64 (.f64 (fma.f64 y x (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z z) (.f64 y x))))
(+.f64 z z)
(+.f64 (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(*.f64 #s(literal 2 binary64) z)
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))

simplify276.0ms (5.2%)

Memory

-5.8MiB live, 450.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 564×	`lower-fma.f64`
7 564×	`lower-fma.f32`
4 102×	`lower-*.f64`
4 102×	`lower-*.f32`
2 788×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1072
1	231	1072
2	679	1072
3	1713	1072
4	3750	1072
5	6691	1072
0	8099	991

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval32.0ms (0.6%)

Memory: -6.9MiB live, 68.5MiB allocated
Compiler: Compiled 3 223 to 217 computations (93.3% saved)

prune39.0ms (0.7%)

Memory

-17.1MiB live, 27.7MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	327	9	336

Accuracy

100.0%

Counts

336 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.0%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	75.6%	(fma.f64 (+.f64 z z) z (*.f64 x y))
✓	75.0%	(fma.f64 z z (*.f64 x y))
▶	42.6%	(fma.f64 y x (+.f64 z z))
✓	99.1%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	59.9%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	59.9%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	38.5%	(*.f64 z z)
✓	46.5%	(*.f64 x y)

Compiler

Compiled 79 to 49 computations (38% saved)

simplify6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	256	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	(fma.f64 y x (+.f64 z z))

Rules

30×	`lower-*.f32`
28×	`lower-*.f64`
28×	`lower-fma.f32`
24×	`lower-fma.f64`
24×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	13	26
1	23	24
2	37	24
3	43	24
4	44	24
0	44	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 y x (+.f64 z z))
(+.f64 z (fma.f64 y x z))
y
x
(+.f64 z z)
z
(fma.f64 (+.f64 z z) z (*.f64 z z))
(.f64 z (.f64 z #s(literal 3 binary64)))
(+.f64 z z)
z
(*.f64 z z)

localize42.0ms (0.8%)

Memory

-2.0MiB live, 36.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	accuracy	100.0%	(fma.f64 y x (+.f64 z z))
✓	accuracy	100.0%	(+.f64 z z)

Samples

33.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-mult: 5.0ms (60.4% of total)

ival-add: 3.0ms (36.2% of total)

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

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

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (fma.f64 y x (+.f64 z z))>
#<alt (+.f64 z z)>
#<alt (fma.f64 (+.f64 z z) z (*.f64 z z))>
#<alt (*.f64 z z)>

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

Calls

18 calls:

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

rewrite81.0ms (1.5%)

Memory

4.7MiB live, 78.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 144×	`lower-fma.f32`
1 140×	`lower-fma.f64`
238×	`lower-*.f32`
236×	`lower-*.f64`
156×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	13	19
1	56	17
0	567	17

Stop Event

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

Counts

4 → 132

Calls

Call 1

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

Outputs
(+.f64 z (fma.f64 y x z))
(+.f64 (+.f64 z z) (*.f64 y x))
(+.f64 (*.f64 y x) (+.f64 z z))
(+.f64 (fma.f64 y x z) z)
(-.f64 (/.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) (+.f64 z z))) (/.f64 (+.f64 z z) (-.f64 (*.f64 y x) (+.f64 z z))))
(fma.f64 y x (+.f64 z z))
(fma.f64 x y (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 y x))
(fma.f64 z #s(literal 2 binary64) (*.f64 y x))
(fma.f64 (+.f64 z z) z (*.f64 y x))
(fma.f64 (+.f64 z z) (+.f64 z z) (*.f64 y x))
(fma.f64 (+.f64 z z) (.f64 z z) (.f64 y x))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (*.f64 y x))
(fma.f64 (.f64 z z) (+.f64 z z) (.f64 y x))
(fma.f64 #s(literal 2 binary64) z (*.f64 y x))
(fma.f64 #s(literal 2 binary64) (+.f64 z z) (*.f64 y x))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (.f64 z (.f64 z z)) (+.f64 z z) (*.f64 y x))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 y x))
(fma.f64 #s(literal 8 binary64) (.f64 z (.f64 z z)) (*.f64 y x))
(fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 y x))
(fma.f64 (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (*.f64 y x))
(fma.f64 (.f64 (+.f64 z z) #s(literal 2 binary64)) z (.f64 y x))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (+.f64 z z)) (-.f64 (fma.f64 y (.f64 x (.f64 y x)) (+.f64 z z)) (.f64 y (.f64 x (+.f64 z z)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (+.f64 z z)) (+.f64 (+.f64 z z) (-.f64 (.f64 y (.f64 x (.f64 y x))) (.f64 y (*.f64 x (+.f64 z z))))))
(/.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (+.f64 z z)) (-.f64 (.f64 y x) (+.f64 z z)))
(/.f64 (neg.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (+.f64 z z))) (neg.f64 (-.f64 (fma.f64 y (.f64 x (.f64 y x)) (+.f64 z z)) (.f64 y (.f64 x (+.f64 z z))))))
(/.f64 (neg.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (+.f64 z z))) (neg.f64 (-.f64 (.f64 y x) (+.f64 z z))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (fma.f64 (fma.f64 y x z) (fma.f64 y x z) (-.f64 (.f64 z z) (.f64 (fma.f64 y x z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (.f64 x (.f64 y x)) (+.f64 z z)) (.f64 y (.f64 x (+.f64 z z)))) (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (+.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) (+.f64 z z)) (-.f64 (.f64 y (.f64 x (.f64 y x))) (+.f64 z z))))
(/.f64 (-.f64 (+.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 (+.f64 z z) (.f64 y x)))
(/.f64 (-.f64 (.f64 (fma.f64 y x z) (fma.f64 y x z)) (.f64 z z)) (-.f64 (fma.f64 y x z) z))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (.f64 x (.f64 y x)) (+.f64 z z)) (.f64 y (*.f64 x (+.f64 z z))))))
(.f64 (-.f64 (.f64 y (.f64 x (.f64 y x))) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) (+.f64 z z))))
(+.f64 z z)
(+.f64 (+.f64 z z) (+.f64 z z))
(+.f64 (.f64 z z) (.f64 z z))
(exp.f64 (*.f64 (log.f64 (+.f64 z z)) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 z (+.f64 z z) (+.f64 z z))
(fma.f64 z #s(literal 2 binary64) (+.f64 z z))
(fma.f64 (+.f64 z z) z (+.f64 z z))
(fma.f64 (+.f64 z z) (+.f64 z z) (+.f64 z z))
(fma.f64 (+.f64 z z) (*.f64 z z) (+.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (+.f64 z z))
(fma.f64 (*.f64 z z) (+.f64 z z) (+.f64 z z))
(fma.f64 #s(literal 2 binary64) z (+.f64 z z))
(fma.f64 #s(literal 2 binary64) (+.f64 z z) (+.f64 z z))
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (+.f64 z z))
(fma.f64 (.f64 z (.f64 z z)) (+.f64 z z) (+.f64 z z))
(fma.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (+.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 z z))
(fma.f64 #s(literal 8 binary64) (.f64 z (.f64 z z)) (+.f64 z z))
(fma.f64 #s(literal 4 binary64) (*.f64 z z) (+.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (+.f64 z z))
(fma.f64 (*.f64 (+.f64 z z) #s(literal 2 binary64)) z (+.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 (.f64 (+.f64 z z) (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 z z)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(pow.f64 (+.f64 z z) #s(literal 2 binary64))
(pow.f64 (+.f64 z z) #s(literal 3 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(*.f64 (+.f64 z z) (+.f64 z z))
(.f64 (+.f64 z z) (.f64 z z))
(.f64 (+.f64 z z) (.f64 z (*.f64 z z)))
(.f64 (.f64 z z) (+.f64 z z))
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) (+.f64 z z))
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 z (*.f64 z z)) (+.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 8 binary64) (.f64 z (*.f64 z z)))
(.f64 #s(literal 4 binary64) (.f64 z z))
(*.f64 (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 z z) #s(literal 2 binary64)) z)
(+.f64 (+.f64 z z) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 z z))
(-.f64 (/.f64 (+.f64 z z) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (.f64 z (.f64 z (*.f64 z z))) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 z z (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 (+.f64 z z) (+.f64 z z) (*.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z z) (.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (*.f64 z z))
(fma.f64 (.f64 z z) (+.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (+.f64 z z) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 (.f64 z (.f64 z z)) (+.f64 z z) (*.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 #s(literal 8 binary64) (.f64 z (.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 4 binary64) (.f64 z z) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (+.f64 z z))
(fma.f64 (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z z) #s(literal 3/2 binary64)) (*.f64 z z))
(fma.f64 (.f64 (+.f64 z z) #s(literal 2 binary64)) z (.f64 z z))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (+.f64 z z)) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (+.f64 z z)) (+.f64 z z)))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (+.f64 z z)) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 z z)) (-.f64 (.f64 z z) (+.f64 z z)))
(/.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (+.f64 z z))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (+.f64 z z)) (+.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (+.f64 z z)) (+.f64 z z)) (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (+.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))))
(.f64 z (.f64 #s(literal 3 binary64) z))
(.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (*.f64 z z) (+.f64 z z)) (+.f64 z z))))
(.f64 (.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))

simplify226.0ms (4.2%)

Memory

22.8MiB live, 352.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 400×	`lower-fma.f64`
4 400×	`lower-fma.f32`
2 708×	`lower-*.f64`
2 708×	`lower-*.f32`
1 324×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	348
1	111	348
2	296	348
3	685	348
4	1576	348
5	3886	348
6	5806	348
7	7355	348
8	7695	348
9	7772	348
10	7886	348
0	8215	321

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval30.0ms (0.6%)

Memory: -7.1MiB live, 71.2MiB allocated
Compiler: Compiled 3 135 to 342 computations (89.1% saved)

prune33.0ms (0.6%)

Memory

13.0MiB live, 85.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	273	10	283

Accuracy

100.0%

Counts

283 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.0%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	75.6%	(fma.f64 (+.f64 z z) z (*.f64 x y))
	35.5%	(fma.f64 z z (+.f64 z z))
✓	75.0%	(fma.f64 z z (*.f64 x y))
✓	42.6%	(fma.f64 y x (+.f64 z z))
✓	99.1%	(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	59.9%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	59.9%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	38.5%	(*.f64 z z)
✓	46.5%	(*.f64 x y)

Compiler

Compiled 208 to 80 computations (61.5% saved)

regimes43.0ms (0.8%)

Memory

-17.3MiB live, 93.8MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

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

Calls

6 calls:

10.0ms	(*.f64 z z)
8.0ms	x
8.0ms	z
5.0ms	y
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes36.0ms (0.7%)

Memory

-14.4MiB live, 80.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

Outputs
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))

Calls

6 calls:

13.0ms	x
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	y
5.0ms	z
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes200.0ms (3.7%)

Memory

11.8MiB live, 51.1MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(*.f64 z z)

Calls

6 calls:

180.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(*.f64 x y)
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
96.0%	1	`x`
96.0%	1	`y`
99.1%	2	`z`
99.1%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
96.0%	1	`(*.f64 x y)`
99.1%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes23.0ms (0.4%)

Memory

10.3MiB live, 49.4MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))

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

Calls

6 calls:

4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	y
4.0ms	x
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
79.2%	3	`x`
83.3%	3	`y`
85.1%	3	`(*.f64 x y)`
87.0%	2	`z`
85.8%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 18.2MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))

Outputs
(fma.f64 (+.f64 z z) z (*.f64 x y))
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

2 calls:

4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.9%	2	`z`
86.9%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))

Outputs
(fma.f64 z z (*.f64 x y))
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

2 calls:

3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.9%	2	`z`
86.9%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

-26.7MiB live, 14.0MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(fma.f64 y x (+.f64 z z))
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))

Outputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

2 calls:

4.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.5%	2	`z`
86.5%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
53.2%	3	`x`
51.7%	3	`y`
55.4%	3	`(*.f64 x y)`
70.8%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
73.9%	2	`z`
73.9%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.2%)

Memory

-16.9MiB live, 22.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
46.5%	1	`y`
46.5%	1	`x`
46.5%	1	`(*.f64 x y)`
46.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
46.5%	1	`z`
46.5%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.3570183760802445e+305	+inf

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.477242074213518e-85	3.207967337010284e-81

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.477242074213518e-85	3.207967337010284e-81

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.477242074213518e-85	3.207967337010284e-81

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.477242074213518e-85	3.207967337010284e-81

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.076523109535482e+248	3.9907387367816226e+257

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
1	33	123

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)) (.f64 z z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 z z (.f64 x y)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) (.f64 x y) (*.f64 z z))
(*.f64 x y)

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y)) (.f64 z z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 z z (.f64 x y)) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (fma.f64 z z (.f64 x y)) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 546812681195753/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 400000000000000018119312186908566987788960738550170663135013255603028061115238656944849451632274528352523645761412987376023573736775995208861811721784352191162892938000715168933524051653211744054111273618830619635407257621114838914707001425174462464 binary64)) (.f64 x y) (*.f64 z z))
(*.f64 x y)

soundness1.0s (19.6%)

Memory

-15.7MiB live, 504.2MiB allocated

Rules

10 458×	`lower-fma.f64`
10 458×	`lower-fma.f32`
8 632×	`lower-fma.f64`
8 632×	`lower-fma.f32`
8 428×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	70	1192
1	246	1192
2	752	1192
3	2172	1192
4	5648	1192
0	8258	1084
0	12	45
0	21	45
1	76	44
0	661	43
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Compiler

Compiled 402 to 180 computations (55.2% saved)

preprocess74.0ms (1.4%)

Memory

19.7MiB live, 135.1MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 424 to 146 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample708.0ms (13.3%)

preprocess73.0ms (1.4%)

explain353.0ms (6.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize25.0ms (0.5%)

series19.0ms (0.3%)

rewrite413.0ms (7.7%)

simplify224.0ms (4.2%)

eval206.0ms (3.9%)

prune184.0ms (3.4%)

simplify7.0ms (0.1%)

localize57.0ms (1.1%)

series5.0ms (0.1%)

rewrite58.0ms (1.1%)

simplify374.0ms (7%)

eval99.0ms (1.9%)

prune79.0ms (1.5%)

simplify64.0ms (1.2%)

localize78.0ms (1.5%)

series4.0ms (0.1%)

rewrite63.0ms (1.2%)

simplify276.0ms (5.2%)

eval32.0ms (0.6%)

prune39.0ms (0.7%)

simplify6.0ms (0.1%)

localize42.0ms (0.8%)

series2.0ms (0%)

rewrite81.0ms (1.5%)

simplify226.0ms (4.2%)

eval30.0ms (0.6%)

prune33.0ms (0.6%)

regimes43.0ms (0.8%)

regimes36.0ms (0.7%)

regimes200.0ms (3.7%)

regimes23.0ms (0.4%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.0s (19.6%)

preprocess74.0ms (1.4%)

end0.0ms (0%)

Profiling