Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample688.0ms (6.6%)

Memory

10.4MiB live, 1 140.1MiB allocated

Samples

496.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-mult: 120.0ms (51.7% of total)

ival-sub: 58.0ms (25% of total)

ival-add: 40.0ms (17.2% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess173.0ms (1.7%)

Memory

11.5MiB live, 111.3MiB allocated

Algorithm

2×	egg-herbie

Rules

1 296×	`accelerator-lowering-fma.f32`
1 296×	`accelerator-lowering-fma.f64`
798×	`distribute-lft-in`
758×	`distribute-rgt-in`
588×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	95	90
2	285	90
3	883	90
4	3216	90
5	4073	90
6	4514	90
7	4605	90
8	4612	90
9	4612	90
10	4708	90
11	4748	90
12	4748	90
0	8	9
1	15	9
2	33	9
3	81	9
4	197	9
5	317	9
6	448	9
7	691	9
8	1000	9
9	1271	9
10	1344	9
11	1350	9
12	1350	9
0	1350	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (* (* (- y x) 6) z))

Outputs
(+ x (* (* (- y x) 6) z))
(fma.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) z) x)

Call 2

Inputs
(+ x (* (* (- y x) 6) z))
(+ (neg x) (* (* (- y (neg x)) 6) z))
(+ x (* (* (- (neg y) x) 6) z))
(+ x (* (* (- y x) 6) (neg z)))
(neg (+ (neg x) (* (* (- y (neg x)) 6) z)))
(neg (+ x (* (* (- (neg y) x) 6) z)))
(neg (+ x (* (* (- y x) 6) (neg z))))
(+ y (* (* (- x y) 6) z))
(+ z (* (* (- y z) 6) x))
(+ x (* (* (- z x) 6) y))

Outputs
(+ x (* (* (- y x) 6) z))
(+ x (* (- y x) (* 6 z)))
(+ (neg x) (* (* (- y (neg x)) 6) z))
(- (* 6 (* z (+ x y))) x)
(+ x (* (* (- (neg y) x) 6) z))
(+ x (* z (* (+ x y) -6)))
(+ x (* (* (- y x) 6) (neg z)))
(+ x (* (- y x) (* z -6)))
(neg (+ (neg x) (* (* (- y (neg x)) 6) z)))
(+ x (* z (* (+ x y) -6)))
(neg (+ x (* (* (- (neg y) x) 6) z)))
(- (* 6 (* z (+ x y))) x)
(neg (+ x (* (* (- y x) 6) (neg z))))
(- (* (- y x) (* 6 z)) x)
(+ y (* (* (- x y) 6) z))
(+ y (* (- y x) (* z -6)))
(+ z (* (* (- y z) 6) x))
(+ z (* x (* 6 (- y z))))
(+ x (* (* (- z x) 6) y))
(+ x (* y (* 6 (- z x))))

explain122.0ms (1.2%)

Memory

-15.0MiB live, 138.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`(-.f64 y x)`
-	-	`(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)`
-	-	`(*.f64 (-.f64 y x) #s(literal 6 binary64))`
-	-	`y`
-	-	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms	430×	0	valid
16.0ms	36×	1	valid
4.0ms	30×	2	valid
3.0ms	16×	3	valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (48.2% of total)

ival-sub: 4.0ms (24.1% of total)

ival-add: 3.0ms (18.1% of total)

adjust: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

ival-true: 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify60.0ms (0.6%)

Memory

-3.6MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) #s(literal 6 binary64))
✓	cost-diff	0	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
✓	cost-diff	128	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Rules

1 296×	`accelerator-lowering-fma.f32`
1 296×	`accelerator-lowering-fma.f64`
560×	`-lowering-.f32`
560×	`-lowering-.f64`
244×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	15	28
2	33	28
3	81	28
4	197	28
5	317	28
6	448	28
7	691	28
8	1000	28
9	1271	28
10	1344	28
11	1350	28
12	1350	28
0	1350	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* (* (- y x) 6) z))
x
(* (* (- y x) 6) z)
(* (- y x) 6)
(- y x)
y
6
z

Outputs
(+ x (* (* (- y x) 6) z))
(fma.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) z) x)
x
(* (* (- y x) 6) z)
(.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z))
(* (- y x) 6)
(*.f64 (-.f64 y x) #s(literal 6 binary64))
(- y x)
(-.f64 y x)
y
6
#s(literal 6 binary64)
z

localize30.0ms (0.3%)

Memory

11.5MiB live, 54.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
✓	accuracy	99.7%	(*.f64 (-.f64 y x) #s(literal 6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)

Samples

11.0ms	215×	0	valid
2.0ms	15×	2	valid
2.0ms	18×	1	valid
1.0ms	8×	3	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (48% of total)

ival-sub: 2.0ms (24% of total)

adjust: 1.0ms (12% of total)

ival-add: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#<alt (+ x (* (* (- y x) 6) z))>
#<alt (* (* (- y x) 6) z)>
#<alt (* (- y x) 6)>
#<alt (- y x)>

Outputs
#<alt (* 6 (* y z))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -6 (* x z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* 6 (* y z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* -6 (* x z))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* -6 x)>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (* 6 y)>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* 6 y)>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* 6 y)>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (* -6 x)>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* -6 x)>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+ x (* (* (- y x) 6) z))
1.0ms	x	@	inf	(+ x (* (* (- y x) 6) z))
1.0ms	y	@	0	(+ x (* (* (- y x) 6) z))
0.0ms	x	@	0	(+ x (* (* (- y x) 6) z))
0.0ms	y	@	inf	(+ x (* (* (- y x) 6) z))

rewrite312.0ms (3%)

Memory

-20.5MiB live, 460.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 752×	`-lowering-.f32`
4 752×	`-lowering-.f64`
4 494×	`accelerator-lowering-fma.f32`
4 494×	`accelerator-lowering-fma.f64`
2 470×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	38	24
2	314	24
3	4210	24
0	8257	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 245

Calls

Call 1

Inputs
(+ x (* (* (- y x) 6) z))
(* (* (- y x) 6) z)
(* (- y x) 6)
(- y x)

Outputs
(+.f64 x (.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z)))
(+.f64 (.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z)) x)
(+.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (*.f64 (-.f64 y x) #s(literal -6 binary64)) x))))
(-.f64 (/.f64 (.f64 (-.f64 y x) (.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (-.f64 y x))) (fma.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) z) (neg.f64 x))))
(fma.f64 x (/.f64 x (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)))))
(fma.f64 (-.f64 y x) (*.f64 #s(literal 6 binary64) z) x)
(fma.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) z) x)
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z x)
(fma.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)) (neg.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (*.f64 (-.f64 y x) #s(literal -6 binary64)) x)))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 #s(literal 6 binary64) z)) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (.f64 #s(literal 6 binary64) z) (fma.f64 x (+.f64 x y) (*.f64 y y))) x)
(fma.f64 (.f64 (-.f64 y x) (+.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 6 binary64) z)) x)
(fma.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (.f64 #s(literal 6 binary64) z) (+.f64 x y)) x)
(fma.f64 (*.f64 #s(literal 6 binary64) z) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
(fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (*.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z) x) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x))) (fma.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z) x) (neg.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 (.f64 z (.f64 z z)) #s(literal 216 binary64))))) (fma.f64 (.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z)) (fma.f64 (-.f64 y x) (.f64 #s(literal 6 binary64) z) x) (.f64 x x)) (neg.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 (.f64 z z) #s(literal 36 binary64)) (fma.f64 z (.f64 (-.f64 y x) #s(literal -6 binary64)) x)))))
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 6 binary64) z)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) x)
(fma.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 6 binary64) z)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (*.f64 x (+.f64 x y))) x)
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (.f64 #s(literal 6 binary64) z)) (.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x) x)
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) (.f64 #s(literal 6 binary64) z)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)))) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal 6 binary64) z))) (exp.f64 (log.f64 (-.f64 y x))) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 (-.f64 y x))) (exp.f64 (log.f64 (*.f64 #s(literal 6 binary64) z))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal 6 binary64))) (exp.f64 (log.f64 (*.f64 (-.f64 y x) z))) x)
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(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y)))))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))))) (fma.f64 (.f64 y y) (/.f64 y (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)))) (fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))

simplify530.0ms (5.1%)

Memory

12.0MiB live, 365.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 502×	`accelerator-lowering-fma.f32`
10 502×	`accelerator-lowering-fma.f64`
2 900×	`-lowering-.f32`
2 900×	`-lowering-.f64`
1 346×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	849
1	311	795
2	918	705
3	2620	705
4	5154	705
5	7473	705
0	8056	675

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

Outputs
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* x (+ 1 (* -6 z)))
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ x (* -6 (* x z)))
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (*.f64 z #s(literal -6 binary64)) (-.f64 x y) x)
(* -6 (* x z))
(.f64 x (.f64 z #s(literal -6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -6 (* x z))
(.f64 x (.f64 z #s(literal -6 binary64)))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -6 (* x z))
(.f64 x (.f64 z #s(literal -6 binary64)))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* 6 (* z (- y x)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* y (+ 6 (* -6 (/ x y))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(+ (* -6 x) (* 6 y))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* x (- (* 6 (/ y x)) 6))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -6 x)
(*.f64 x #s(literal -6 binary64))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(*.f64 #s(literal 6 binary64) (-.f64 y x))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

eval45.0ms (0.4%)

Memory: -9.7MiB live, 117.7MiB allocated
Compiler: Compiled 8 751 to 938 computations (89.3% saved)

prune42.0ms (0.4%)

Memory

-2.3MiB live, 113.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	10	366

Accuracy

100.0%

Counts

366 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
▶	61.3%	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
	99.8%	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
	99.8%	(+.f64 x (*.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) z))
▶	99.8%	(+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
	75.4%	(+.f64 x (.f64 (.f64 y #s(literal 6 binary64)) z))
▶	61.3%	(+.f64 x (.f64 x (.f64 z #s(literal -6 binary64))))
	67.8%	(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
	44.1%	(.f64 #s(literal 6 binary64) (.f64 y z))
▶	33.8%	x

Compiler

Compiled 202 to 140 computations (30.7% saved)

simplify61.0ms (0.6%)

Memory

16.9MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) z)
✓	cost-diff	0	(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
✓	cost-diff	128	(+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 z #s(literal -6 binary64))
✓	cost-diff	0	(.f64 x (.f64 z #s(literal -6 binary64)))
✓	cost-diff	128	(+.f64 x (.f64 x (.f64 z #s(literal -6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -6 binary64))
✓	cost-diff	0	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) z)
✓	cost-diff	0	(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)

Rules

1 296×	`accelerator-lowering-fma.f32`
1 296×	`accelerator-lowering-fma.f64`
560×	`-lowering-.f32`
560×	`-lowering-.f64`
234×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	32	81
2	55	81
3	100	81
4	222	81
5	348	81
6	521	81
7	769	81
8	1113	81
9	1310	81
10	1368	81
11	1370	81
12	1370	81
0	1370	77

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* (- y x) z) 6) x)
(* (- y x) z)
(- y x)
y
x
z
6
x
(+ (* z (* x -6)) x)
z
(* x -6)
x
-6
(+ x (* x (* z -6)))
x
(* x (* z -6))
(* z -6)
z
-6
(+ x (* (* (- y x) z) 6))
x
(* (* (- y x) z) 6)
(* (- y x) z)
(- y x)
y
z
6

Outputs
(+ (* (* (- y x) z) 6) x)
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(* (- y x) z)
(*.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
x
z
6
#s(literal 6 binary64)
x
(+ (* z (* x -6)) x)
(fma.f64 x (*.f64 z #s(literal -6 binary64)) x)
z
(* x -6)
(*.f64 x #s(literal -6 binary64))
x
-6
#s(literal -6 binary64)
(+ x (* x (* z -6)))
(fma.f64 x (*.f64 z #s(literal -6 binary64)) x)
x
(* x (* z -6))
(.f64 x (.f64 z #s(literal -6 binary64)))
(* z -6)
(*.f64 z #s(literal -6 binary64))
z
-6
#s(literal -6 binary64)
(+ x (* (* (- y x) z) 6))
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
x
(* (* (- y x) z) 6)
(.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))
(* (- y x) z)
(*.f64 (-.f64 y x) z)
(- y x)
(-.f64 y x)
y
z
6
#s(literal 6 binary64)

localize150.0ms (1.4%)

Memory

-18.8MiB live, 139.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal -6 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 x (.f64 z #s(literal -6 binary64))))
✓	accuracy	99.4%	(.f64 x (.f64 z #s(literal -6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -6 binary64))
✓	accuracy	99.8%	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(*.f64 (-.f64 y x) z)
✓	accuracy	99.8%	(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)

Samples

29.0ms

256×

valid

Compiler

Compiled 81 to 18 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (60.1% of total)

ival-add: 4.0ms (24% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

10 → 264

Calls

Call 1

Inputs
#<alt (+ (* (* (- y x) z) 6) x)>
#<alt (* (- y x) z)>
#<alt (- y x)>
#<alt (+ (* z (* x -6)) x)>
#<alt (* x -6)>
#<alt (+ x (* x (* z -6)))>
#<alt (* x (* z -6))>
#<alt (* z -6)>
#<alt (+ x (* (* (- y x) z) 6))>
#<alt (* (* (- y x) z) 6)>

Outputs
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* 6 (* y z))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt x>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* y z)>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt x>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (* -6 (* x z))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt x>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (* -6 (* x z))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* z (+ (* -6 x) (/ x z)))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* 6 (* y z))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -6 (* x z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* 6 (* y z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* -6 (* x z))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* 6 (* z (- y x)))>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* z (* x -6)) x)
1.0ms	x	@	inf	(+ (* z (* x -6)) x)
0.0ms	z	@	inf	(+ (* z (* x -6)) x)
0.0ms	z	@	0	(+ (* z (* x -6)) x)
0.0ms	x	@	-inf	(* x -6)

rewrite732.0ms (7%)

Memory

-8.1MiB live, 701.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 988×	`accelerator-lowering-fma.f32`
10 988×	`accelerator-lowering-fma.f64`
6 574×	`-lowering-.f32`
6 574×	`-lowering-.f64`
3 694×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	83	58
2	731	58
0	8481	54

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 712

Calls

Call 1

Inputs
(+ (* (* (- y x) z) 6) x)
(* (- y x) z)
(- y x)
(+ (* z (* x -6)) x)
(* x -6)
(+ x (* x (* z -6)))
(* x (* z -6))
(* z -6)
(+ x (* (* (- y x) z) 6))
(* (* (- y x) z) 6)

Outputs
(+.f64 x (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64))))
(+.f64 (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64))) x)
(+.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 z z)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64)))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(-.f64 (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 z z)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))) (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64)))) (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64)))))
(fma.f64 x (/.f64 x (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64)))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(fma.f64 (-.f64 y x) (/.f64 (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
(fma.f64 (.f64 (-.f64 y x) z) (/.f64 (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 #s(literal 6 binary64) (*.f64 (-.f64 y x) z) x)
(fma.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64))) (/.f64 (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64))) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64)))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(fma.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))) (*.f64 z #s(literal 6 binary64))) x)
(fma.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (/.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) x)
(fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 z #s(literal 6 binary64))) x)
(fma.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (.f64 z #s(literal 6 binary64)) (+.f64 y x)) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) (-.f64 y x) x)
(fma.f64 (.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (.f64 #s(literal 36 binary64) (.f64 z z)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) (/.f64 #s(literal 36 binary64) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 #s(literal 36 binary64) (/.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))) (/.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)) (/.f64 (.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (*.f64 (-.f64 y x) #s(literal 6 binary64)) z x)
(fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))) x)
(fma.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
(fma.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))) x)
(fma.f64 (.f64 (.f64 z #s(literal 6 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
(fma.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (neg.f64 x)))) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64)))) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) x) (neg.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 #s(literal -216 binary64) (.f64 (.f64 (-.f64 y x) z) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)))))) (fma.f64 x x (.f64 (.f64 (-.f64 y x) z) (fma.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64) (.f64 #s(literal 6 binary64) x)))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64)))) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 y x)) (.f64 (.f64 x (+.f64 y x)) (.f64 x (+.f64 y x)))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x (+.f64 y x)) (-.f64 (.f64 x (+.f64 y x)) (*.f64 y y)))) x)
(fma.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 (.f64 y y) (.f64 x (+.f64 y x))))) (-.f64 (.f64 y y) (.f64 x (+.f64 y x))) x)
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 z #s(literal 6 binary64))) (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x) x)
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y y (*.f64 x (-.f64 x y))) x)
(neg.f64 (/.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64) (neg.f64 (.f64 x (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) (.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (*.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (neg.f64 x))) (fma.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64) (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64))) (neg.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 y x) (.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64) (.f64 x x)) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64)))) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64)))))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64))))))
(/.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 (-.f64 y x) (.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (-.f64 y x) (.f64 z (.f64 (.f64 (-.f64 y x) z) #s(literal 36 binary64))) (.f64 x (neg.f64 x))) (fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 x x (.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64))) (+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal -6 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64) (neg.f64 (.f64 x (+.f64 x (.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 #s(literal 216 binary64) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (-.f64 y x) (.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)) (neg.f64 x))) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)) #s(literal -36 binary64) (.f64 x x)) (fma.f64 (*.f64 (-.f64 y x) z) #s(literal -6 binary64) (neg.f64 (neg.f64 x))))
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(fma.f64 y (.f64 z #s(literal 6 binary64)) (.f64 (neg.f64 x) (*.f64 z #s(literal 6 binary64))))
(fma.f64 #s(literal 6 binary64) (.f64 z y) (.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 x))))
(fma.f64 #s(literal 6 binary64) (.f64 y z) (.f64 #s(literal 6 binary64) (*.f64 z (neg.f64 x))))
(fma.f64 (neg.f64 x) (.f64 z #s(literal 6 binary64)) (.f64 y (*.f64 z #s(literal 6 binary64))))
(fma.f64 (.f64 z #s(literal 6 binary64)) y (.f64 (*.f64 z #s(literal 6 binary64)) (neg.f64 x)))
(fma.f64 (.f64 z #s(literal 6 binary64)) (neg.f64 x) (.f64 (*.f64 z #s(literal 6 binary64)) y))
(fma.f64 (.f64 z y) #s(literal 6 binary64) (.f64 (*.f64 z (neg.f64 x)) #s(literal 6 binary64)))
(fma.f64 (.f64 y z) #s(literal 6 binary64) (.f64 (*.f64 z (neg.f64 x)) #s(literal 6 binary64)))
(/.f64 (*.f64 z #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (*.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 z #s(literal 6 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 z #s(literal 6 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 z (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 (*.f64 z (+.f64 y x)) (-.f64 y x))) (+.f64 y x))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (.f64 (-.f64 y x) z))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))) (+.f64 y x))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) (neg.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (.f64 z #s(literal 6 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) (*.f64 z #s(literal 6 binary64))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (.f64 (.f64 z (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) #s(literal 6 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) #s(literal 6 binary64)) (+.f64 y x))
(.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 (-.f64 y x) z))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 z #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (/.f64 (.f64 z #s(literal 6 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (.f64 z #s(literal 6 binary64))))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (*.f64 z #s(literal 6 binary64)) (+.f64 y x)))
(.f64 (.f64 z #s(literal 6 binary64)) (-.f64 y x))
(.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z)
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))) (.f64 (.f64 x (+.f64 y x)) (.f64 (.f64 x (+.f64 y x)) (.f64 x (+.f64 y x)))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x (+.f64 y x)) (-.f64 (.f64 x (+.f64 y x)) (.f64 y y)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (.f64 z #s(literal 6 binary64))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 (.f64 y y) (.f64 x (+.f64 y x))))) (-.f64 (.f64 y y) (*.f64 x (+.f64 y x))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (.f64 z #s(literal 6 binary64))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 y y (.f64 x (-.f64 x y))))

simplify590.0ms (5.7%)

Memory

7.8MiB live, 485.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 376×	`accelerator-lowering-fma.f32`
10 376×	`accelerator-lowering-fma.f64`
3 174×	`-lowering-.f32`
3 174×	`-lowering-.f64`
1 434×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1876
1	344	1678
2	1034	1570
3	2935	1570
4	5508	1570
5	7879	1570
0	8012	1468

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(* y z)
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* y z)
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
x
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(* -6 (* x z))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* -6 (* x z))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (* -6 z)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (* 6 z) 1)))
x
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(+ x (* -6 (* x z)))
(* -6 (* x z))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* z (+ (* -6 x) (/ x z)))
(* -6 (* x z))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -1 (* z (+ (* -1 (/ x z)) (* 6 x))))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* -6 z)
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))
(* 6 (* z (- y x)))

Outputs
(+ x (* -6 (* x z)))
(fma.f64 x (*.f64 #s(literal -6 binary64) z) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* 6 (* y z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* 6 (* y z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* 6 (* y z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* x (+ 1 (* -6 z)))
(fma.f64 x (*.f64 #s(literal -6 binary64) z) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 x (*.f64 #s(literal -6 binary64) z) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
x
(+ x (* 6 (* z (- y x))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(+ x (* 6 (* z (- y x))))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* 6 (* z (- y x)))
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)) x)
(* 6 (* z (- y x)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
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(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))

eval162.0ms (1.5%)

Memory: 37.0MiB live, 227.6MiB allocated
Compiler: Compiled 36 716 to 1 672 computations (95.4% saved)

prune113.0ms (1.1%)

Memory

-48.4MiB live, 249.1MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 163	6	1 169
Fresh	1	4	5
Picked	3	2	5
Done	0	0	0
Total	1 167	12	1 179

Accuracy

100.0%

Counts

1 179 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal 6 binary64) x)
▶	75.4%	(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
	61.3%	(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
✓	61.3%	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
	99.8%	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
	75.4%	(+.f64 x (.f64 (.f64 y #s(literal 6 binary64)) z))
▶	67.8%	(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
▶	44.1%	(.f64 z (.f64 #s(literal 6 binary64) y))
	30.2%	(.f64 x (.f64 #s(literal -6 binary64) z))
▶	44.1%	(.f64 #s(literal 6 binary64) (.f64 y z))
	68.2%	(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
✓	33.8%	x

Compiler

Compiled 209 to 147 computations (29.7% saved)

simplify77.0ms (0.7%)

Memory

21.3MiB live, 101.6MiB 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 #s(literal -6 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 6 binary64) y)
✓	cost-diff	0	(.f64 z (.f64 #s(literal 6 binary64) y))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal 6 binary64) (.f64 y z))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
✓	cost-diff	0	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal 6 binary64) x)
✓	cost-diff	1088	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x)))

Rules

1 312×	`accelerator-lowering-fma.f32`
1 312×	`accelerator-lowering-fma.f64`
576×	`-lowering-.f32`
576×	`-lowering-.f64`
270×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	43	80
2	91	80
3	199	80
4	397	80
5	733	80
6	1297	80
7	1801	80
8	1924	80
9	1938	80
10	1939	80
11	1939	80
0	1939	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (/ z (/ 1 (- y x))) 6) x)
(/ z (/ 1 (- y x)))
z
(/ 1 (- y x))
1
(- y x)
y
x
6
(* 6 (* y z))
6
(* y z)
y
z
(* z (* 6 y))
z
(* 6 y)
6
y
(+ (* (* z y) 6) x)
(* z y)
z
y
6
x
(* (* z -6) (- x y))
(* z -6)
z
-6
(- x y)
x
y

Outputs
(+ (* (/ z (/ 1 (- y x))) 6) x)
(fma.f64 z (*.f64 (-.f64 y x) #s(literal 6 binary64)) x)
(/ z (/ 1 (- y x)))
(*.f64 z (-.f64 y x))
z
(/ 1 (- y x))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
1
#s(literal 1 binary64)
(- y x)
(-.f64 y x)
y
x
6
#s(literal 6 binary64)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(* y z)
(*.f64 z y)
y
z
(* z (* 6 y))
(.f64 z (.f64 y #s(literal 6 binary64)))
z
(* 6 y)
(*.f64 y #s(literal 6 binary64))
6
#s(literal 6 binary64)
y
(+ (* (* z y) 6) x)
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* z y)
(*.f64 z y)
z
y
6
#s(literal 6 binary64)
x
(* (* z -6) (- x y))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* z -6)
(*.f64 z #s(literal -6 binary64))
z
-6
#s(literal -6 binary64)
(- x y)
(-.f64 x y)
x
y

localize62.0ms (0.6%)

Memory

11.7MiB live, 128.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 z #s(literal -6 binary64))
✓	accuracy	99.3%	(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.9%	(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 6 binary64) y)
✓	accuracy	99.7%	(.f64 z (.f64 #s(literal 6 binary64) y))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.6%	(.f64 #s(literal 6 binary64) (.f64 y z))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 y x))
✓	accuracy	99.8%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal 6 binary64) x)
✓	accuracy	99.6%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (58.3% of total)

ival-div: 3.0ms (13.5% of total)

ival-sub: 3.0ms (13.5% of total)

ival-add: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-3.3MiB live, 35.0MiB allocated

Counts

13 → 336

Calls

Call 1

Inputs
#<alt (/ z (/ 1 (- y x)))>
#<alt (+ (* (/ z (/ 1 (- y x))) 6) x)>
#<alt (/ 1 (- y x))>
#<alt (- y x)>
#<alt (* 6 (* y z))>
#<alt (* y z)>
#<alt (* z (* 6 y))>
#<alt (* 6 y)>
#<alt (+ (* (* z y) 6) x)>
#<alt (* z y)>
#<alt (* (* z -6) (- x y))>
#<alt (* z -6)>
#<alt (- x y)>

Outputs
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* z (- y x))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y (+ z (* -1 (/ (* x z) y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ (* x z) y))))>
#<alt (* y z)>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (+ (* -1 (* x z)) (* y z))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* x (+ (* -1 z) (/ (* y z) x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* y z) x)))))>
#<alt x>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (+ x (* 6 (* z (- y x))))>
#<alt (* 6 (* z (- y x)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* z (+ (* 6 (- y x)) (/ x z)))>
#<alt (* 6 (* z (- y x)))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* 6 (* y z))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ y (pow x 2))) (/ 1 x))>
#<alt (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (/ x y)) y)>
#<alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)>
#<alt (/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (* -1 (/ x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ x (pow y 2)))>
#<alt (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))>
#<alt (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 (/ y x)) 1) x)>
#<alt (/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)>
#<alt (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ y x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt x>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* 6 (* y z))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* -6 (* z (- x y)))>
#<alt (* 6 (* y z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* -6 (* x z))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -6 (* x z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -6 z)>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* (* z -6) (- x y))
2.0ms	y	@	0	(/ 1 (- y x))
1.0ms	z	@	0	(* (* z -6) (- x y))
1.0ms	z	@	0	(* 6 (* y z))
0.0ms	z	@	inf	(* (* z -6) (- x y))

rewrite731.0ms (7%)

Memory

-31.3MiB live, 570.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 762×	`accelerator-lowering-fma.f32`
8 762×	`accelerator-lowering-fma.f64`
5 614×	`-lowering-.f32`
5 614×	`-lowering-.f64`
3 314×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	99	61
2	739	61
0	8664	59

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 783

Calls

Call 1

Inputs
(/ z (/ 1 (- y x)))
(+ (* (/ z (/ 1 (- y x))) 6) x)
(/ 1 (- y x))
(- y x)
(* 6 (* y z))
(* y z)
(* z (* 6 y))
(* 6 y)
(+ (* (* z y) 6) x)
(* z y)
(* (* z -6) (- x y))
(* z -6)
(- x y)

Outputs
(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) z))
(+.f64 (.f64 z y) (.f64 (*.f64 z (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (.f64 z (neg.f64 x)) (.f64 z y))
(+.f64 (.f64 (neg.f64 x) z) (.f64 z y))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 #s(literal 1 binary64) (.f64 z (neg.f64 x))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z y)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) z)))
(+.f64 (.f64 (neg.f64 z) (neg.f64 y)) (.f64 z (neg.f64 x)))
(+.f64 (.f64 (neg.f64 y) (neg.f64 z)) (.f64 x (neg.f64 z)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 z #s(literal -6 binary64)) x) (.f64 (.f64 z #s(literal -6 binary64)) x)) (.f64 (.f64 z y) (.f64 (.f64 z y) #s(literal 36 binary64)))) (-.f64 (.f64 (.f64 z #s(literal -6 binary64)) x) (.f64 y (*.f64 z #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 z #s(literal -6 binary64))) (.f64 x (.f64 z #s(literal -6 binary64)))) (.f64 (.f64 z y) (.f64 (.f64 z y) #s(literal 36 binary64)))) (-.f64 (.f64 x (.f64 z #s(literal -6 binary64))) (.f64 y (*.f64 z #s(literal 6 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) (neg.f64 z)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 z #s(literal -6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (.f64 z #s(literal -6 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(pow.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y)))) #s(literal -1 binary64))
(.f64 z (.f64 #s(literal 6 binary64) (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(.f64 z (.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) (-.f64 y x))))
(.f64 #s(literal 1 binary64) (.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))))
(.f64 (-.f64 y x) (.f64 z #s(literal 6 binary64)))
(.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 z (-.f64 y x)))
(.f64 (.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x))) #s(literal 1 binary64))
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
(.f64 (-.f64 x y) (.f64 z #s(literal -6 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (neg.f64 z) (.f64 (-.f64 x y) #s(literal 6 binary64)))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 z #s(literal -6 binary64))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (.f64 z #s(literal -6 binary64))))
(.f64 (.f64 z #s(literal 6 binary64)) (-.f64 y x))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(.f64 (.f64 #s(literal 6 binary64) (-.f64 y x)) z)
(.f64 (.f64 z (-.f64 x y)) #s(literal -6 binary64))
(.f64 (.f64 (.f64 z #s(literal -6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 z (.f64 #s(literal -6 binary64) (.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (.f64 z #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (+.f64 y x) (.f64 z (.f64 #s(literal 6 binary64) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (.f64 (*.f64 z #s(literal -6 binary64)) #s(literal -1 binary64)) (-.f64 y x))
(.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (.f64 z #s(literal 6 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)))) (/.f64 #s(literal 6 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (+.f64 y x)))) (/.f64 #s(literal 6 binary64) (+.f64 y x)))
(.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)))) (/.f64 z (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y x) (+.f64 y x)))) (/.f64 z (+.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 6 binary64)))
(neg.f64 (*.f64 z #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 6 binary64))))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 z #s(literal -6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 z)) #s(literal -1 binary64))
(*.f64 z #s(literal -6 binary64))
(*.f64 #s(literal 6 binary64) (neg.f64 z))
(*.f64 #s(literal -6 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 6 binary64)))
(*.f64 (neg.f64 z) #s(literal 6 binary64))
(.f64 (.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) #s(literal 1 binary64))
(+.f64 x (neg.f64 y))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (neg.f64 y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(+.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 y #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (+.f64 y x))) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y (.f64 x (+.f64 y x))))) (/.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 y y (.f64 x (+.f64 y x))))))
(-.f64 (/.f64 (.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (.f64 y y) (+.f64 y x))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64)))
(neg.f64 (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 x y))))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 y) x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y y (.f64 x (+.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)))) (+.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 y x)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 y y (.f64 x (+.f64 y x))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (fma.f64 y (.f64 y (neg.f64 y)) (.f64 x (.f64 x x))) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)) (fma.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) (-.f64 y x) (*.f64 #s(literal 0 binary64) (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (.f64 x (+.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) (-.f64 y x))) (+.f64 #s(literal 0 binary64) (-.f64 y x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 x (+.f64 y x))))))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x))))))
(.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x))))))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))

simplify368.0ms (3.5%)

Memory

32.4MiB live, 512.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 940×	`accelerator-lowering-fma.f32`
9 940×	`accelerator-lowering-fma.f64`
3 360×	`-lowering-.f32`
3 360×	`-lowering-.f64`
1 860×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1939
1	709	1907
2	2052	1870
3	6138	1861
0	8380	1782

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* z (- y x))
(* -1 (* x z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(* y z)
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* y z)
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(+ (* -1 (* x z)) (* y z))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ (* -1 z) (/ (* y z) x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
x
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(+ x (* 6 (* z (- y x))))
(* 6 (* z (- y x)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* z (+ (* 6 (- y x)) (/ x z)))
(* 6 (* z (- y x)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
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(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/ 1 y)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/ 1 y)
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(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
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(* 6 (* y z))
(* 6 (* y z))
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(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
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(* 6 (* y z))
(* 6 (* y z))
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(* 6 (* y z))
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(* 6 (* y z))
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(* 6 (* y z))
(* 6 (* y z))
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x
(+ x (* 6 (* y z)))
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Outputs
(* z (- y x))
(*.f64 z (-.f64 y x))
(* z (- y x))
(*.f64 z (-.f64 y x))
(* z (- y x))
(*.f64 z (-.f64 y x))
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(+ (* -1 (* x z)) (* y z))
(*.f64 z (-.f64 y x))
(+ (* -1 (* x z)) (* y z))
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(+ (* -1 (* x z)) (* y z))
(*.f64 z (-.f64 y x))
(* y z)
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(fma.f64 (.f64 z (neg.f64 x)) #s(literal 1 binary64) (.f64 z y))
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(fma.f64 (.f64 z (neg.f64 x)) #s(literal 1 binary64) (.f64 z y))
(* y (+ z (* -1 (/ (* x z) y))))
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(* y z)
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(fma.f64 (.f64 z (neg.f64 x)) #s(literal 1 binary64) (.f64 z y))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(fma.f64 (.f64 z (neg.f64 x)) #s(literal 1 binary64) (.f64 z y))
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(* z (+ (* 6 (- y x)) (/ x z)))
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(* 6 (* z (- y x)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(* -1 (* z (+ (* -6 (- y x)) (* -1 (/ x z)))))
(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
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(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
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(* 6 (* y z))
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
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(fma.f64 (-.f64 y x) (*.f64 z #s(literal 6 binary64)) x)
(/ -1 x)
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(- (* -1 (/ y (pow x 2))) (/ 1 x))
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(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
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(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
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(/ -1 x)
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(* -1 x)
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(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
(* 6 y)
(*.f64 y #s(literal 6 binary64))
x
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* z (+ (* 6 y) (/ x z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* z (+ (* 6 y) (/ x z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* z (+ (* 6 y) (/ x z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
x
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* y (+ (* 6 z) (/ x y)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* y (+ (* 6 z) (/ x y)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* y (+ (* 6 z) (/ x y)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(+ x (* 6 (* y z)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
x
(* x (+ 1 (* 6 (/ (* y z) x))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* x (+ 1 (* 6 (/ (* y z) x))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* x (+ 1 (* 6 (/ (* y z) x))))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
x
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(fma.f64 z (*.f64 y #s(literal 6 binary64)) x)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* z (- x y)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* x z))
(.f64 z (.f64 x #s(literal -6 binary64)))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* x z))
(.f64 z (.f64 x #s(literal -6 binary64)))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* -6 (* x z))
(.f64 z (.f64 x #s(literal -6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(.f64 z (.f64 (-.f64 y x) #s(literal 6 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* 6 (* y z))
(.f64 z (.f64 y #s(literal 6 binary64)))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(fma.f64 z (.f64 y #s(literal 6 binary64)) (.f64 (.f64 z (.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -6 z)
(*.f64 z #s(literal -6 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval298.0ms (2.9%)

Memory: 15.3MiB live, 320.8MiB allocated
Compiler: Compiled 18 239 to 2 077 computations (88.6% saved)

prune391.0ms (3.7%)

Memory

-15.6MiB live, 237.1MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 113	6	1 119
Fresh	3	2	5
Picked	2	3	5
Done	0	2	2
Total	1 118	13	1 131

Accuracy

100.0%

Counts

1 131 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.4%	(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
▶	75.0%	(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
	61.3%	(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
✓	61.3%	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
▶	44.1%	(/.f64 (*.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z))
▶	99.8%	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
	68.2%	(.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64))
▶	43.7%	(.f64 (.f64 z #s(literal 6 binary64)) y)
	30.2%	(.f64 (.f64 z #s(literal -6 binary64)) x)
▶	30.2%	(.f64 z (.f64 x #s(literal -6 binary64)))
✓	44.1%	(.f64 z (.f64 #s(literal 6 binary64) y))
✓	44.1%	(.f64 #s(literal 6 binary64) (.f64 y z))
✓	33.8%	x

Compiler

Compiled 188 to 135 computations (28.2% saved)

simplify229.0ms (2.2%)

Memory

-19.5MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 y #s(literal 6 binary64))
✓	cost-diff	1088	(/.f64 (*.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 z #s(literal 6 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
✓	cost-diff	0	(*.f64 z #s(literal 6 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 6 binary64)) y)
✓	cost-diff	0	(*.f64 x #s(literal -6 binary64))
✓	cost-diff	0	(.f64 z (.f64 x #s(literal -6 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -6 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal 6 binary64) (*.f64 #s(literal -6 binary64) x))
✓	cost-diff	0	(.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z)
✓	cost-diff	128	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))

Rules

152×	`accelerator-lowering-fma.f32`
152×	`accelerator-lowering-fma.f64`
128×	`-lowering-.f32`
128×	`-lowering-.f64`
50×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	37	86
2	60	86
3	82	86
4	85	86
5	91	86
6	105	86
7	105	86
8	129	86
9	131	86
10	154	86
11	156	86
12	165	86
13	165	86
14	169	86
0	169	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* (+ (* y 6) (* -6 x)) z))
x
(* (+ (* y 6) (* -6 x)) z)
(+ (* y 6) (* -6 x))
y
6
(* -6 x)
-6
z
(* z (* x -6))
z
(* x -6)
x
-6
(* (* z 6) y)
(* z 6)
z
6
y
(+ (* (* z 6) y) x)
(* z 6)
z
6
y
x
(/ (* y 6) (/ 1 z))
(* y 6)
y
6
(/ 1 z)
1
z

Outputs
(+ x (* (+ (* y 6) (* -6 x)) z))
(fma.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64))) z x)
x
(* (+ (* y 6) (* -6 x)) z)
(.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z)
(+ (* y 6) (* -6 x))
(fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64)))
y
6
#s(literal 6 binary64)
(* -6 x)
(*.f64 x #s(literal -6 binary64))
-6
#s(literal -6 binary64)
z
(* z (* x -6))
(.f64 x (.f64 #s(literal -6 binary64) z))
z
(* x -6)
(*.f64 x #s(literal -6 binary64))
x
-6
#s(literal -6 binary64)
(* (* z 6) y)
(.f64 y (.f64 #s(literal 6 binary64) z))
(* z 6)
(*.f64 #s(literal 6 binary64) z)
z
6
#s(literal 6 binary64)
y
(+ (* (* z 6) y) x)
(fma.f64 y (*.f64 #s(literal 6 binary64) z) x)
(* z 6)
(*.f64 #s(literal 6 binary64) z)
z
6
#s(literal 6 binary64)
y
x
(/ (* y 6) (/ 1 z))
(.f64 y (.f64 #s(literal 6 binary64) z))
(* y 6)
(*.f64 y #s(literal 6 binary64))
y
6
#s(literal 6 binary64)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z

localize257.0ms (2.5%)

Memory

23.1MiB live, 61.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 6 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(*.f64 z #s(literal 6 binary64))
✓	accuracy	99.5%	(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
✓	accuracy	100.0%	(*.f64 z #s(literal 6 binary64))
✓	accuracy	99.4%	(.f64 (.f64 z #s(literal 6 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal -6 binary64))
✓	accuracy	99.6%	(.f64 z (.f64 x #s(literal -6 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -6 binary64) x)
✓	accuracy	100.0%	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
✓	accuracy	99.9%	(fma.f64 y #s(literal 6 binary64) (*.f64 #s(literal -6 binary64) x))
✓	accuracy	99.7%	(.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z)

Samples

26.0ms	215×	0	valid
4.0ms	18×	1	valid
3.0ms	12×	2	valid
3.0ms	8×	3	valid
1.0ms	3×	4	valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (53.1% of total)

ival-div: 4.0ms (19.3% of total)

ival-add: 4.0ms (19.3% of total)

adjust: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-25.2MiB live, 13.0MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (+ x (* (+ (* y 6) (* -6 x)) z))>
#<alt (* (+ (* y 6) (* -6 x)) z)>
#<alt (+ (* y 6) (* -6 x))>
#<alt (* -6 x)>
#<alt (* z (* x -6))>
#<alt (* x -6)>
#<alt (* (* z 6) y)>
#<alt (* z 6)>
#<alt (+ (* (* z 6) y) x)>
#<alt (/ (* y 6) (/ 1 z))>
#<alt (* y 6)>
#<alt (/ 1 z)>

Outputs
#<alt (* 6 (* y z))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))>
#<alt (* x (+ 1 (* -6 z)))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))>
#<alt (* -1 (* x (- (* 6 z) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))>
#<alt (+ x (* -6 (* x z)))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (+ x (+ (* -6 (* x z)) (* 6 (* y z))))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* z (+ (* -6 x) (* 6 y))))>
#<alt (+ x (* z (+ (* -6 x) (* 6 y))))>
#<alt (+ x (* z (+ (* -6 x) (* 6 y))))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (+ (* 6 y) (/ x z))))>
#<alt (* z (+ (* -6 x) (+ (* 6 y) (/ x z))))>
#<alt (* z (+ (* -6 x) (+ (* 6 y) (/ x z))))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))>
#<alt (* -6 (* x z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* y (+ (* -6 (/ (* x z) y)) (* 6 z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))>
#<alt (* 6 (* y z))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (+ (* -6 (* x z)) (* 6 (* y z)))>
#<alt (* -6 (* x z))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* x (+ (* -6 z) (* 6 (/ (* y z) x))))>
#<alt (* -6 (* x z))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* z (+ (* -6 x) (* 6 y)))>
#<alt (* -6 x)>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (* 6 y)>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* y (+ 6 (* -6 (/ x y))))>
#<alt (* 6 y)>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* -1 (* y (- (* 6 (/ x y)) 6)))>
#<alt (* 6 y)>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (+ (* -6 x) (* 6 y))>
#<alt (* -6 x)>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* x (- (* 6 (/ y x)) 6))>
#<alt (* -6 x)>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -1 (* x (+ 6 (* -6 (/ y x)))))>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 (* x z))>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* -6 x)>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt (* 6 z)>
#<alt x>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* z (+ (* 6 y) (/ x z)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (* 6 (* y z))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* y (+ (* 6 z) (/ x y)))>
#<alt (* 6 (* y z))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))>
#<alt (* 6 (* y z))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt (+ x (* 6 (* y z)))>
#<alt x>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt (* x (+ 1 (* 6 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -6 (/ (* y z) x)) 1)))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 (* y z))>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>

Calls

66 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(/ (* y 6) (/ 1 z))
0.0ms	x	@	inf	(+ x (* (+ (* y 6) (* -6 x)) z))
0.0ms	z	@	-inf	(+ x (* (+ (* y 6) (* -6 x)) z))
0.0ms	z	@	0	(+ x (* (+ (* y 6) (* -6 x)) z))
0.0ms	z	@	0	(* (+ (* y 6) (* -6 x)) z)

rewrite392.0ms (3.8%)

Memory

5.7MiB live, 803.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 774×	`accelerator-lowering-fma.f32`
9 774×	`accelerator-lowering-fma.f64`
5 750×	`-lowering-.f32`
5 750×	`-lowering-.f64`
3 250×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	87	64
2	618	64
3	7653	64
0	8389	59

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 610

Calls

Call 1

Inputs
(+ x (* (+ (* y 6) (* -6 x)) z))
(* (+ (* y 6) (* -6 x)) z)
(+ (* y 6) (* -6 x))
(* -6 x)
(* z (* x -6))
(* x -6)
(* (* z 6) y)
(* z 6)
(+ (* (* z 6) y) x)
(/ (* y 6) (/ 1 z))
(* y 6)
(/ 1 z)

Outputs
(+.f64 x (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z))
(+.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z) x)
(+.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(+.f64 (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (.f64 x (*.f64 #s(literal -6 binary64) z)))
(+.f64 (.f64 x (.f64 #s(literal -6 binary64) z)) (fma.f64 y (*.f64 #s(literal 6 binary64) z) x))
(+.f64 (/.f64 (.f64 x x) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x)) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 z z))) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x))))
(+.f64 (+.f64 x (.f64 x (.f64 #s(literal -6 binary64) z))) (.f64 #s(literal 6 binary64) (.f64 y z)))
(-.f64 (/.f64 (.f64 x x) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x)) (/.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 z z))) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x)))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 z z))) (fma.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z (neg.f64 x))))
(fma.f64 x (.f64 #s(literal -6 binary64) z) (fma.f64 y (.f64 #s(literal 6 binary64) z) x))
(fma.f64 x (/.f64 x (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x)) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 z z))) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (*.f64 y #s(literal -6 binary64))) x))))
(fma.f64 y (.f64 #s(literal 6 binary64) z) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal 6 binary64) (.f64 y z) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1 binary64)) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal 6 binary64) (.f64 (neg.f64 y) (neg.f64 z)) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 (.f64 y #s(literal 6 binary64)) z (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal -6 binary64) (.f64 x z) (fma.f64 y (.f64 #s(literal 6 binary64) z) x))
(fma.f64 #s(literal -6 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) z)) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal -6 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal -6 binary64) (.f64 (neg.f64 z) y) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal -6 binary64) (.f64 y (neg.f64 z)) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 (.f64 x #s(literal -6 binary64)) z (fma.f64 y (.f64 #s(literal 6 binary64) z) x))
(fma.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64))) z x)
(fma.f64 z (.f64 y #s(literal 6 binary64)) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 z (.f64 x #s(literal -6 binary64)) (fma.f64 y (.f64 #s(literal 6 binary64) z) x))
(fma.f64 z (fma.f64 x #s(literal -6 binary64) (*.f64 y #s(literal 6 binary64))) x)
(fma.f64 z (.f64 #s(literal 1 binary64) (.f64 x #s(literal -6 binary64))) (fma.f64 y (*.f64 #s(literal 6 binary64) z) x))
(fma.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z) #s(literal 1 binary64) x)
(fma.f64 (.f64 #s(literal 6 binary64) z) y (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (.f64 (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x))) (.f64 x (.f64 #s(literal -6 binary64) z)))
(fma.f64 (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (/.f64 (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x)) (.f64 x (*.f64 #s(literal -6 binary64) z)))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) z) x)
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (.f64 y z)) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (.f64 x (*.f64 #s(literal -6 binary64) z)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -6 binary64) z)) (fma.f64 y (*.f64 #s(literal 6 binary64) z) x))
(fma.f64 #s(literal -1 binary64) (.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (.f64 y z)) (fma.f64 x (*.f64 #s(literal -6 binary64) z) x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (.f64 x #s(literal -6 binary64))) (fma.f64 y (*.f64 #s(literal 6 binary64) z) x))
(fma.f64 (neg.f64 z) (.f64 y #s(literal -6 binary64)) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 (.f64 y #s(literal -6 binary64)) (neg.f64 z) (fma.f64 x (.f64 #s(literal -6 binary64) z) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x)) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 x #s(literal -6 binary64) (.f64 y #s(literal 6 binary64))) (.f64 z z))) (fma.f64 z (fma.f64 x #s(literal 6 binary64) (.f64 y #s(literal -6 binary64))) x))))
(fma.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64)) (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x))) (.f64 x (.f64 #s(literal -6 binary64) z)))
(fma.f64 (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x)) (.f64 (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x)))) (.f64 x (.f64 #s(literal -6 binary64) z)))
(fma.f64 (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x)) (/.f64 (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x))) (.f64 x (*.f64 #s(literal -6 binary64) z)))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -216 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 36 binary64) (fma.f64 y y (.f64 x x)) (.f64 y (*.f64 x #s(literal 36 binary64))))) z) x)
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x))) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64)) (.f64 z (.f64 z z)) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x)) (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x x)))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x x)) (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x x))) (fma.f64 y (.f64 #s(literal 6 binary64) z) x))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64)) (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z)))) (.f64 x (.f64 (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z))) (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z)))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 #s(literal 46656 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))) (fma.f64 (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z)))) (-.f64 (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z)))) (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z))))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1296 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64)) (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) (-.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) x) (.f64 x x)) (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z))))))) (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x (-.f64 x (.f64 #s(literal 6 binary64) (.f64 y z))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z)))) (.f64 x x)) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 216 binary64)) (.f64 z (.f64 z z)) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 x (fma.f64 y (.f64 #s(literal 6 binary64) z) x) (.f64 y (.f64 y (.f64 #s(literal 36 binary64) (.f64 z z))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -6 binary64) (.f64 y z)))
(neg.f64 (.f64 #s(literal -6 binary64) (.f64 y z)))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) z)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (*.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 z (/.f64 #s(literal 1/6 binary64) y))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) y)))
(/.f64 (*.f64 y #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 y z)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 (*.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) z)))
(pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal -1 binary64))
(.f64 y (.f64 #s(literal 6 binary64) z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y z)) #s(literal -1 binary64)))
(.f64 #s(literal 6 binary64) (.f64 (neg.f64 y) (neg.f64 z)))
(.f64 (.f64 y #s(literal 6 binary64)) z)
(*.f64 #s(literal -6 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -6 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)))
(.f64 #s(literal -6 binary64) (.f64 (neg.f64 z) y))
(.f64 #s(literal -6 binary64) (.f64 y (neg.f64 z)))
(.f64 z (.f64 y #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 6 binary64) z) y)
(.f64 (.f64 #s(literal 6 binary64) (*.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 y z)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (*.f64 y z)))
(.f64 (neg.f64 z) (.f64 y #s(literal -6 binary64)))
(.f64 (.f64 y #s(literal -6 binary64)) (neg.f64 z))
(.f64 (.f64 y z) #s(literal 6 binary64))
(.f64 (neg.f64 y) (.f64 #s(literal -6 binary64) z))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 #s(literal 6 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -6 binary64))) (neg.f64 z))
(.f64 (/.f64 y #s(literal -1 binary64)) (.f64 #s(literal -6 binary64) z))
(*.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 #s(literal -6 binary64) z))
(.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y z)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 6 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -6 binary64)))
(neg.f64 (*.f64 y #s(literal -6 binary64)))
(/.f64 (*.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) y)))
(/.f64 (*.f64 y #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) y)
(*.f64 #s(literal 6 binary64) (neg.f64 (neg.f64 y)))
(.f64 (.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (neg.f64 y))
(*.f64 #s(literal -6 binary64) (/.f64 y #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -6 binary64)))
(.f64 (.f64 y #s(literal -6 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal -6 binary64))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 6 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))

simplify316.0ms (3%)

Memory

27.2MiB live, 547.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 716×	`accelerator-lowering-fma.f32`
11 716×	`accelerator-lowering-fma.f64`
3 600×	`-lowering-.f32`
3 600×	`-lowering-.f64`
1 646×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1608
1	329	1554
2	1010	1554
3	2562	1400
4	6380	1400
0	8195	1343

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 6 (* y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(* x (+ 1 (* -6 z)))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(* -1 (* x (- (* 6 z) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(+ x (* -6 (* x z)))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ (+ x (* -6 (* x z))) y)))))
x
(+ x (* z (+ (* -6 x) (* 6 y))))
(+ x (* z (+ (* -6 x) (* 6 y))))
(+ x (* z (+ (* -6 x) (* 6 y))))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (+ (* 6 y) (/ x z))))
(* z (+ (* -6 x) (+ (* 6 y) (/ x z))))
(* z (+ (* -6 x) (+ (* 6 y) (/ x z))))
(* z (+ (* -6 x) (* 6 y)))
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ (* -6 x) (* 6 y))) (* -1 (/ x z)))))
(* -6 (* x z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* 6 (* y z))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* y (+ (* -6 (/ (* x z) y)) (* 6 z)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* -1 (* y (+ (* -6 z) (* 6 (/ (* x z) y)))))
(* 6 (* y z))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(+ (* -6 (* x z)) (* 6 (* y z)))
(* -6 (* x z))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* x (+ (* -6 z) (* 6 (/ (* y z) x))))
(* -6 (* x z))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* -1 (* x (+ (* -6 (/ (* y z) x)) (* 6 z))))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* z (+ (* -6 x) (* 6 y)))
(* -6 x)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* 6 y)
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* y (+ 6 (* -6 (/ x y))))
(* 6 y)
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* -1 (* y (- (* 6 (/ x y)) 6)))
(* 6 y)
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(+ (* -6 x) (* 6 y))
(* -6 x)
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* x (- (* 6 (/ y x)) 6))
(* -6 x)
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -1 (* x (+ 6 (* -6 (/ y x)))))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 (* x z))
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* -6 x)
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
(* 6 z)
x
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
(* 6 (* y z))
(* z (+ (* 6 y) (/ x z)))
(* z (+ (* 6 y) (/ x z)))
(* z (+ (* 6 y) (/ x z)))
(* 6 (* y z))
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -6 y) (* -1 (/ x z)))))
x
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
(* 6 (* y z))
(* y (+ (* 6 z) (/ x y)))
(* y (+ (* 6 z) (/ x y)))
(* y (+ (* 6 z) (/ x y)))
(* 6 (* y z))
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -6 z) (* -1 (/ x y)))))
(* 6 (* y z))
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
(+ x (* 6 (* y z)))
x
(* x (+ 1 (* 6 (/ (* y z) x))))
(* x (+ 1 (* 6 (/ (* y z) x))))
(* x (+ 1 (* 6 (/ (* y z) x))))
x
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -6 (/ (* y z) x)) 1)))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 (* y z))
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)

Outputs
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ (* 6 (* y z)) (* x (+ 1 (* -6 z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (* -6 z)))
(fma.f64 x (*.f64 z #s(literal -6 binary64)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* x (+ 1 (+ (* -6 z) (* 6 (/ (* y z) x)))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (* 6 z) 1)))
(fma.f64 x (*.f64 z #s(literal -6 binary64)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* -1 (* x (- (+ (* -6 (/ (* y z) x)) (* 6 z)) 1)))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (* -6 (* x z)))
(fma.f64 x (*.f64 z #s(literal -6 binary64)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(+ x (+ (* -6 (* x z)) (* 6 (* y z))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* 6 (* y z))
(.f64 #s(literal 6 binary64) (.f64 y z))
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
(* y (+ (* -6 (/ (* x z) y)) (+ (* 6 z) (/ x y))))
(fma.f64 z (*.f64 #s(literal 6 binary64) (-.f64 y x)) x)
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eval207.0ms (2%)

Memory: -0.6MiB live, 187.7MiB allocated
Compiler: Compiled 17 084 to 1 457 computations (91.5% saved)

prune95.0ms (0.9%)

Memory

6.1MiB live, 218.0MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	902	2	904
Fresh	0	3	3
Picked	1	4	5
Done	0	5	5
Total	903	14	917

Accuracy

100.0%

Counts

917 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.4%	(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
✓	75.0%	(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
	61.3%	(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
✓	61.3%	(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
	44.1%	(/.f64 z (/.f64 #s(literal 1/6 binary64) y))
✓	99.8%	(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
	68.2%	(.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64))
✓	43.7%	(.f64 (.f64 z #s(literal 6 binary64)) y)
	30.2%	(.f64 (.f64 z #s(literal -6 binary64)) x)
	30.2%	(.f64 (.f64 x z) #s(literal -6 binary64))
✓	30.2%	(.f64 z (.f64 x #s(literal -6 binary64)))
✓	44.1%	(.f64 z (.f64 #s(literal 6 binary64) y))
✓	44.1%	(.f64 #s(literal 6 binary64) (.f64 y z))
✓	33.8%	x

Compiler

Compiled 286 to 144 computations (49.7% saved)

regimes34.0ms (0.3%)

Memory

-2.1MiB live, 75.4MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64))
(+.f64 x (.f64 x (.f64 z #s(literal -6 binary64))))
(+.f64 x (.f64 (.f64 y #s(literal 6 binary64)) z))
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
(+.f64 x (.f64 (.f64 (-.f64 y x) z) #s(literal 6 binary64)))
(+.f64 x (.f64 (fma.f64 y #s(literal 6 binary64) (.f64 #s(literal -6 binary64) x)) z))
(/.f64 z (/.f64 #s(literal 1/6 binary64) y))
(/.f64 (*.f64 y #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z))
(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal 6 binary64) x)
(+.f64 x (*.f64 (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))) z))

Outputs
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)

Calls

4 calls:

9.0ms	y
8.0ms	x
8.0ms	z
8.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes28.0ms (0.3%)

Memory

-23.8MiB live, 54.2MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
(.f64 (.f64 z #s(literal -6 binary64)) (-.f64 x y))
(.f64 (.f64 z (-.f64 y x)) #s(literal 6 binary64))
(+.f64 x (.f64 x (.f64 z #s(literal -6 binary64))))
(+.f64 x (.f64 (.f64 y #s(literal 6 binary64)) z))

Outputs
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))
(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
(.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y)))

Calls

4 calls:

9.0ms	x
7.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
88.6%	3	`x`
90.4%	4	`y`
99.1%	3	`z`
89.3%	3	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory

10.3MiB live, 48.3MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)

Outputs
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 z y) #s(literal 6 binary64) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)

Calls

4 calls:

6.0ms	y
4.0ms	x
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
4.0ms	z

Results

Accuracy	Segments	Branch
88.6%	3	`x`
88.5%	3	`y`
81.0%	3	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
83.5%	4	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)

Outputs
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(fma.f64 (*.f64 z #s(literal 6 binary64)) y x)

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
88.5%	3	`y`
88.2%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-35.4MiB live, 40.7MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)

Outputs
(.f64 z (.f64 #s(literal 6 binary64) y))
(fma.f64 (*.f64 x z) #s(literal -6 binary64) x)
(.f64 z (.f64 #s(literal 6 binary64) y))

Calls

4 calls:

4.0ms	y
4.0ms	x
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
4.0ms	z

Results

Accuracy	Segments	Branch
61.3%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
70.3%	4	`z`
76.5%	3	`x`
77.7%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)

Outputs
(.f64 z (.f64 #s(literal 6 binary64) y))
(fma.f64 z (*.f64 x #s(literal -6 binary64)) x)
(.f64 z (.f64 #s(literal 6 binary64) y))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
77.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

8 → 4

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 (.f64 z #s(literal -6 binary64)) x)
(.f64 (.f64 z #s(literal 6 binary64)) y)

Outputs
(.f64 (.f64 x z) #s(literal -6 binary64))
(.f64 z (.f64 #s(literal 6 binary64) y))
x
(.f64 #s(literal 6 binary64) (.f64 y z))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
69.6%	4	`z`
57.0%	3	`x`
58.2%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-35.4MiB live, 7.8MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
(.f64 z (.f64 x #s(literal -6 binary64)))

Outputs
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 z (.f64 #s(literal 6 binary64) y))
x
(.f64 #s(literal 6 binary64) (.f64 y z))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.6%	4	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 4

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))
(.f64 x (.f64 #s(literal -6 binary64) z))

Outputs
(.f64 x (.f64 #s(literal -6 binary64) z))
(.f64 #s(literal 6 binary64) (.f64 y z))
x
(.f64 #s(literal 6 binary64) (.f64 y z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.6%	4	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
(.f64 #s(literal 6 binary64) (.f64 y z))

Outputs
(.f64 #s(literal 6 binary64) (.f64 y z))
x
(.f64 #s(literal 6 binary64) (.f64 y z))

Calls

2 calls:

2.0ms	z
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))

Results

Accuracy	Segments	Branch
50.0%	3	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
64.3%	3	`z`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

-22.1MiB live, 16.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

1.0ms	y
1.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
33.8%	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) #s(literal 6 binary64)) z))`
33.8%	1	`x`
33.8%	1	`y`
33.8%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch28.0ms (0.3%)

Memory

38.7MiB live, 38.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.60310420528558e-16	1.7498863541521263
13.0ms	-22817670047223706000.0	-5.3699404770807334e-11

Samples

15.0ms

336×

valid

Compiler

Compiled 456 to 329 computations (27.9% saved)

Precisions

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

ival-mult: 4.0ms (52.8% of total)

ival-sub: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

-7.1MiB live, 31.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.687916521530334e+182	1.638569106524974e+187
20.0ms	-1.3577316021400172e+78	-8.205692597827919e+75

Samples

22.0ms

240×

valid

Compiler

Compiled 315 to 224 computations (28.9% saved)

Precisions

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

ival-mult: 3.0ms (54.8% of total)

ival-sub: 1.0ms (18.3% of total)

ival-add: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-13.1MiB live, 25.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7718930491058943e-44	2.14812558076814e-42
11.0ms	-4.113663351314658e-69	-8.942464418866868e-70

Samples

9.0ms

208×

valid

Compiler

Compiled 275 to 196 computations (28.7% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.4331232692452056e+63	2.801809166611401e+63
11.0ms	-6.907925333220251e+99	-6.191637261946938e+91

Samples

9.0ms

208×

valid

Compiler

Compiled 262 to 196 computations (25.2% saved)

Precisions

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

ival-mult: 2.0ms (42.9% of total)

ival-sub: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.5%)

Memory

-30.9MiB live, 12.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.4331232692452056e+63	2.801809166611401e+63
46.0ms	-6.907925333220251e+99	-6.191637261946938e+91

Samples

9.0ms

208×

valid

Compiler

Compiled 262 to 196 computations (25.2% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Memory

9.8MiB live, 47.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.09310509000667e-97	1.6395208211143833e-93
11.0ms	-2.5449389017933187e-73	-5.298133834933018e-80
10.0ms	-1.7756380113395064e+35	-2.468508974199246e+32

Samples

22.0ms

400×

valid

Compiler

Compiled 397 to 313 computations (21.2% saved)

Precisions

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

ival-sub: 6.0ms (45.7% of total)

ival-mult: 5.0ms (38% of total)

ival-add: 2.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch50.0ms (0.5%)

Memory

20.6MiB live, 57.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.09310509000667e-97	1.6395208211143833e-93
27.0ms	-2.5449389017933187e-73	-5.298133834933018e-80
10.0ms	-1.7756380113395064e+35	-2.468508974199246e+32

Samples

35.0ms

400×

valid

Compiler

Compiled 397 to 313 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 21.0ms (82.5% of total)

ival-sub: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch47.0ms (0.4%)

Memory

-36.8MiB live, 53.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.09310509000667e-97	1.6395208211143833e-93
11.0ms	-2.5449389017933187e-73	-5.298133834933018e-80
18.0ms	-1.7756380113395064e+35	-2.468508974199246e+32

Samples

23.0ms

400×

valid

Compiler

Compiled 397 to 313 computations (21.2% saved)

Precisions

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

ival-mult: 5.0ms (54.3% of total)

ival-sub: 2.0ms (21.7% of total)

ival-add: 2.0ms (21.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.09310509000667e-97	1.6395208211143833e-93
11.0ms	-2.5449389017933187e-73	-5.298133834933018e-80

Samples

13.0ms

272×

valid

Compiler

Compiled 253 to 201 computations (20.6% saved)

Precisions

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

ival-mult: 3.0ms (47.3% of total)

ival-sub: 2.0ms (31.6% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Memory

-2.7MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
12×	`if-if-or-not_binary32`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	213
1	124	213
2	132	213
3	136	213
4	138	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
(if (<=.f64 z #s(literal -3242591731706757/18014398509481984 binary64)) (.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y))) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 (.f64 z y) #s(literal 6 binary64) x) (.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)))))
(if (<=.f64 x #s(literal -44000000000000000785095482412648441489292572321683093345063926927318029697024 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (if (<=.f64 x #s(literal 380000000000000012728222938783273600931142793570758561009997825963019736759432400646256230499357996897106438417618051317641668250213683080632601633711630073915418178900327382646784000 binary64)) (fma.f64 (.f64 z y) #s(literal 6 binary64) x) (fma.f64 (*.f64 x z) #s(literal -6 binary64) x)))
(if (<=.f64 y #s(literal -5439472898232041/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (fma.f64 (.f64 z #s(literal 6 binary64)) y x) (if (<=.f64 y #s(literal 8285774290710419/50216813883093446110686315385661331328818843555712276103168 binary64)) (fma.f64 (.f64 x z) #s(literal -6 binary64) x) (fma.f64 (*.f64 z #s(literal 6 binary64)) y x)))
(if (<=.f64 y #s(literal -95999999999999993048179942781087102373053598361347020018091755874773066249481321890706635096064 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 y #s(literal 2600000000000000113893154917817548596130663773948029647850569728 binary64)) (fma.f64 (.f64 x z) #s(literal -6 binary64) x) (.f64 z (*.f64 #s(literal 6 binary64) y))))
(if (<=.f64 y #s(literal -3699999999999999871015775712800499912246622780602405820454601356442222109047860090700073795584 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 y #s(literal 2299999999999999932116832735272879349998106486613677805106364416 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (.f64 z (*.f64 #s(literal 6 binary64) y))))
(if (<=.f64 z #s(literal -1849999999999999928137214941200384 binary64)) (.f64 (.f64 x z) #s(literal -6 binary64)) (if (<=.f64 z #s(literal -687499642012889/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 z #s(literal 1702693372511029/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -11499999999999999085884780199280640 binary64)) (.f64 x (.f64 #s(literal -6 binary64) z)) (if (<=.f64 z #s(literal -6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 z #s(literal 4884968572169573/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -4200000000000000117292421527633920 binary64)) (.f64 x (.f64 #s(literal -6 binary64) z)) (if (<=.f64 z #s(literal -7798028346905455/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 #s(literal 6 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 3757668132438133/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -8784717647942471/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 #s(literal 6 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z))))
x

Outputs
(fma.f64 (*.f64 (-.f64 y x) z) #s(literal 6 binary64) x)
(if (<=.f64 z #s(literal -3242591731706757/18014398509481984 binary64)) (.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y))) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 (.f64 z y) #s(literal 6 binary64) x) (.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)))))
(if (<=.f64 z #s(literal -3242591731706757/18014398509481984 binary64)) (.f64 #s(literal -6 binary64) (.f64 z (-.f64 x y))) (if (<=.f64 z #s(literal 6124895493223875/36028797018963968 binary64)) (fma.f64 (.f64 y z) #s(literal 6 binary64) x) (.f64 #s(literal -6 binary64) (*.f64 z (-.f64 x y)))))
(if (<=.f64 x #s(literal -44000000000000000785095482412648441489292572321683093345063926927318029697024 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (if (<=.f64 x #s(literal 380000000000000012728222938783273600931142793570758561009997825963019736759432400646256230499357996897106438417618051317641668250213683080632601633711630073915418178900327382646784000 binary64)) (fma.f64 (.f64 z y) #s(literal 6 binary64) x) (fma.f64 (*.f64 x z) #s(literal -6 binary64) x)))
(if (<=.f64 x #s(literal -44000000000000000785095482412648441489292572321683093345063926927318029697024 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (if (<=.f64 x #s(literal 380000000000000012728222938783273600931142793570758561009997825963019736759432400646256230499357996897106438417618051317641668250213683080632601633711630073915418178900327382646784000 binary64)) (fma.f64 (.f64 y z) #s(literal 6 binary64) x) (fma.f64 (*.f64 x z) #s(literal -6 binary64) x)))
(if (<=.f64 y #s(literal -5439472898232041/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (fma.f64 (.f64 z #s(literal 6 binary64)) y x) (if (<=.f64 y #s(literal 8285774290710419/50216813883093446110686315385661331328818843555712276103168 binary64)) (fma.f64 (.f64 x z) #s(literal -6 binary64) x) (fma.f64 (*.f64 z #s(literal 6 binary64)) y x)))
(if (<=.f64 y #s(literal -95999999999999993048179942781087102373053598361347020018091755874773066249481321890706635096064 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 y #s(literal 2600000000000000113893154917817548596130663773948029647850569728 binary64)) (fma.f64 (.f64 x z) #s(literal -6 binary64) x) (.f64 z (*.f64 #s(literal 6 binary64) y))))
(if (<=.f64 y #s(literal -95999999999999993048179942781087102373053598361347020018091755874773066249481321890706635096064 binary64)) (.f64 z (.f64 y #s(literal 6 binary64))) (if (<=.f64 y #s(literal 2600000000000000113893154917817548596130663773948029647850569728 binary64)) (fma.f64 (.f64 x z) #s(literal -6 binary64) x) (.f64 z (*.f64 y #s(literal 6 binary64)))))
(if (<=.f64 y #s(literal -3699999999999999871015775712800499912246622780602405820454601356442222109047860090700073795584 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 y #s(literal 2299999999999999932116832735272879349998106486613677805106364416 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (.f64 z (*.f64 #s(literal 6 binary64) y))))
(if (<=.f64 y #s(literal -3699999999999999871015775712800499912246622780602405820454601356442222109047860090700073795584 binary64)) (.f64 z (.f64 y #s(literal 6 binary64))) (if (<=.f64 y #s(literal 2299999999999999932116832735272879349998106486613677805106364416 binary64)) (fma.f64 z (.f64 x #s(literal -6 binary64)) x) (.f64 z (*.f64 y #s(literal 6 binary64)))))
(if (<=.f64 z #s(literal -1849999999999999928137214941200384 binary64)) (.f64 (.f64 x z) #s(literal -6 binary64)) (if (<=.f64 z #s(literal -687499642012889/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 z #s(literal 1702693372511029/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -1849999999999999928137214941200384 binary64)) (.f64 #s(literal -6 binary64) (.f64 x z)) (if (<=.f64 z #s(literal -687499642012889/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 z (.f64 y #s(literal 6 binary64))) (if (<=.f64 z #s(literal 1702693372511029/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -11499999999999999085884780199280640 binary64)) (.f64 x (.f64 #s(literal -6 binary64) z)) (if (<=.f64 z #s(literal -6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 z (.f64 #s(literal 6 binary64) y)) (if (<=.f64 z #s(literal 4884968572169573/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -11499999999999999085884780199280640 binary64)) (.f64 x (.f64 z #s(literal -6 binary64))) (if (<=.f64 z #s(literal -6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 z (.f64 y #s(literal 6 binary64))) (if (<=.f64 z #s(literal 4884968572169573/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -4200000000000000117292421527633920 binary64)) (.f64 x (.f64 #s(literal -6 binary64) z)) (if (<=.f64 z #s(literal -7798028346905455/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 #s(literal 6 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 3757668132438133/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -4200000000000000117292421527633920 binary64)) (.f64 x (.f64 z #s(literal -6 binary64))) (if (<=.f64 z #s(literal -7798028346905455/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (.f64 #s(literal 6 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 3757668132438133/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z)))))
(if (<=.f64 z #s(literal -8784717647942471/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (.f64 #s(literal 6 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 8830520111229613/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) x (.f64 #s(literal 6 binary64) (.f64 y z))))
x

soundness2.3s (21.7%)

Memory

-15.4MiB live, 1 187.7MiB allocated

Rules

10 988×	`accelerator-lowering-fma.f32`
10 988×	`accelerator-lowering-fma.f64`
10 502×	`accelerator-lowering-fma.f32`
10 502×	`accelerator-lowering-fma.f64`
10 376×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1876
1	344	1678
2	1034	1570
3	2935	1570
4	5508	1570
5	7879	1570
0	8012	1468
0	8	24
1	38	24
2	314	24
3	4210	24
0	8257	23
0	229	1939
1	709	1907
2	2052	1870
3	6138	1861
0	8380	1782
0	21	65
1	99	61
2	739	61
0	8664	59
0	97	849
1	311	795
2	918	705
3	2620	705
4	5154	705
5	7473	705
0	8056	675
0	18	64
1	87	64
2	618	64
3	7653	64
0	8389	59
0	16	58
1	83	58
2	731	58
0	8481	54

Stop Event

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

Compiler

Compiled 597 to 332 computations (44.4% saved)

preprocess393.0ms (3.8%)

Memory: -10.7MiB live, 197.5MiB allocated
Compiler: Compiled 534 to 208 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	86
1	37	86
2	60	86
3	82	86
4	85	86
5	91	86
6	105	86
7	105	86
8	129	86
9	131	86
10	154	86
11	156	86
12	165	86
13	165	86
14	169	86
0	169	81

Iter	Nodes	Cost
0	18	86
1	37	86
2	60	86
3	82	86
4	85	86
5	91	86
6	105	86
7	105	86
8	129	86
9	131	86
10	154	86
11	156	86
12	165	86
13	165	86
14	169	86
0	169	81

analyze0.0ms (0%)

sample688.0ms (6.6%)

preprocess173.0ms (1.7%)

explain122.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify60.0ms (0.6%)

localize30.0ms (0.3%)

series7.0ms (0.1%)

rewrite312.0ms (3%)

simplify530.0ms (5.1%)

eval45.0ms (0.4%)

prune42.0ms (0.4%)

simplify61.0ms (0.6%)

localize150.0ms (1.4%)

series9.0ms (0.1%)

rewrite732.0ms (7%)

simplify590.0ms (5.7%)

eval162.0ms (1.5%)

prune113.0ms (1.1%)

simplify77.0ms (0.7%)

localize62.0ms (0.6%)

series16.0ms (0.2%)

rewrite731.0ms (7%)

simplify368.0ms (3.5%)

eval298.0ms (2.9%)

prune391.0ms (3.7%)

simplify229.0ms (2.2%)

localize257.0ms (2.5%)

series32.0ms (0.3%)

rewrite392.0ms (3.8%)

simplify316.0ms (3%)

eval207.0ms (2%)

prune95.0ms (0.9%)

regimes34.0ms (0.3%)

regimes28.0ms (0.3%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch53.0ms (0.5%)

bsearch38.0ms (0.4%)

bsearch50.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch23.0ms (0.2%)

simplify15.0ms (0.1%)

soundness2.3s (21.7%)

preprocess393.0ms (3.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	86
1	37	86
2	60	86
3	82	86
4	85	86
5	91	86
6	105	86
7	105	86
8	129	86
9	131	86
10	154	86
11	156	86
12	165	86
13	165	86
14	169	86
0	169	81