Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12.3%)

Memory

24.8MiB live, 1 063.1MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 455.0ms

ival-sub: 229.0ms (50.3% of total)

ival-mult: 211.0ms (46.4% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess298.0ms (2.7%)

Memory

10.9MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 608×	`unsub-neg`
1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
788×	`distribute-lft-in`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	105	82
2	285	81
3	1174	81
4	2720	81
5	4111	81
6	4516	81
7	4710	81
8	4796	81
9	4828	81
10	4879	81
11	4879	81
12	4879	81
13	4977	81
14	5005	81
0	8	9
0	12	9
1	23	9
2	52	9
3	153	9
4	442	9
5	939	9
6	1327	9
7	1625	9
8	1658	9
9	1658	9
0	1658	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

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

Symmetry

(negabs x)

explain155.0ms (1.4%)

Memory

-33.2MiB live, 180.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`	*no**	8	0

Confusion

	Predicted +	Predicted -
+	8	0
-	0	248

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	0
-	0	0	248

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	248
1	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-mult: 6.0ms (47.3% of total)

ival-sub: 5.0ms (39.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify62.0ms (0.6%)

Memory

16.6MiB live, 96.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
496×	`lower-*.f32`
492×	`lower-*.f64`
440×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	23	28
2	52	28
3	153	28
4	442	28
5	939	28
6	1327	28
7	1625	28
8	1658	28
9	1658	28
0	1658	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z

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

localize71.0ms (0.6%)

Memory

-26.5MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	97.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-sub: 3.0ms (48.4% of total)

ival-mult: 3.0ms (48.4% 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

25.4MiB live, 25.5MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) y) z)>
#<alt (-.f64 #s(literal 1 binary64) y)>

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

Calls

24 calls:

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

rewrite436.0ms (3.9%)

Memory

2.3MiB live, 671.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 326×	`lower-fma.f64`
4 326×	`lower-fma.f32`
3 522×	`lower-/.f64`
3 522×	`lower-/.f32`
3 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22

Stop Event

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

Counts

4 → 445

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)

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

simplify236.0ms (2.1%)

Memory

-26.0MiB live, 384.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 140×	`lower-fma.f64`
7 140×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`lower-*.f32`
1 336×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	613
1	234	592
2	630	592
3	1394	592
4	4056	592
5	6304	592
6	7507	592
0	8012	544

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

eval88.0ms (0.8%)

Memory: 40.0MiB live, 115.2MiB allocated
Compiler: Compiled 14 716 to 1 729 computations (88.3% saved)

prune179.0ms (1.6%)

Memory

-7.0MiB live, 153.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	530	9	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	9	540

Accuracy

100.0%

Counts

540 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	97.0%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
	68.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
▶	64.5%	(-.f64 x (*.f64 z x))
	65.7%	(.f64 z (-.f64 (.f64 y x) x))
▶	40.9%	(.f64 z (.f64 y x))
	64.5%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	39.4%	(.f64 x (.f64 z y))
▶	34.5%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 166 to 108 computations (34.9% saved)

simplify58.0ms (0.5%)

Memory

2.5MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 z (.f64 y x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 x (*.f64 z x))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 z (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)

Rules

1 232×	`lower-fma.f32`
1 228×	`lower-fma.f64`
496×	`lower-*.f32`
486×	`lower-*.f64`
248×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	25	62
1	54	62
2	135	62
3	205	62
4	336	62
5	616	62
6	1001	62
7	1197	62
8	1229	62
9	1234	62
10	1234	62
0	1234	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (0.9%)

Memory

-12.8MiB live, 65.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	96.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	95.1%	(.f64 z (.f64 y x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 x (*.f64 z x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 y #s(literal -1 binary64)))
✓	accuracy	97.0%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)

Samples

53.0ms

256×

valid

Compiler

Compiled 68 to 18 computations (73.5% saved)

Precisions

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

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

ival-add: 4.0ms (25.6% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (0.9%)

Memory

-7.5MiB live, 30.8MiB allocated

Counts

9 → 228

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)>
#<alt (*.f64 z (+.f64 y #s(literal -1 binary64)))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (.f64 z (.f64 y x))>
#<alt (*.f64 y x)>
#<alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)>

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

Calls

57 calls:

Time	Variable		Point	Expression
80.0ms	z	@	0	(* z (* y x))
3.0ms	y	@	-inf	(+ (* (+ y -1) (* z x)) x)
2.0ms	x	@	0	(+ (* (* z (+ y -1)) x) x)
1.0ms	x	@	inf	(+ (* (* z (+ y -1)) x) x)
1.0ms	x	@	-inf	(+ (* (* z (+ y -1)) x) x)

rewrite526.0ms (4.7%)

Memory

30.2MiB live, 578.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 966×	`lower-fma.f32`
8 962×	`lower-fma.f64`
5 250×	`lower-*.f32`
5 240×	`lower-*.f64`
2 702×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	25	41
1	102	41
2	621	41
3	6724	41
0	8342	41

Stop Event

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

Counts

9 → 596

Calls

Call 1

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

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

simplify320.0ms (2.9%)

Memory

-8.6MiB live, 518.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
3 082×	`lower-*.f64`
3 082×	`lower-*.f32`
1 602×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1216
1	219	1193
2	618	1193
3	1489	1193
4	4011	1193
5	6608	1193
6	7995	1193
0	8125	1133

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 211

Calls

Call 1

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

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

eval172.0ms (1.5%)

Memory: -17.8MiB live, 210.1MiB allocated
Compiler: Compiled 21 034 to 1 237 computations (94.1% saved)

prune93.0ms (0.8%)

Memory

13.5MiB live, 197.4MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	910	7	917
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	915	11	926

Accuracy

100.0%

Counts

926 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) x x)
✓	96.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	70.6%	(fma.f64 (*.f64 z y) x x)
✓	64.5%	(-.f64 x (*.f64 z x))
▶	64.5%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
▶	39.4%	(.f64 (.f64 z y) x)
	40.7%	(.f64 (.f64 z x) y)
▶	65.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	40.9%	(.f64 z (.f64 y x))
	32.0%	(*.f64 x (neg.f64 z))
▶	34.5%	x

Compiler

Compiled 161 to 105 computations (34.8% saved)

simplify89.0ms (0.8%)

Memory

-12.8MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 248×	`lower-fma.f32`
1 246×	`lower-fma.f64`
512×	`lower-*.f32`
502×	`lower-*.f64`
278×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	28	71
1	49	67
2	93	67
3	160	67
4	319	67
5	500	67
6	872	67
7	1296	67
8	1572	67
9	1695	67
10	1728	67
11	1730	67
12	1734	67
13	1734	67
0	1734	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.5%)

Memory

18.2MiB live, 99.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	96.9%	(.f64 z (-.f64 (.f64 y x) x))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	93.3%	(.f64 (.f64 z y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
✓	accuracy	97.0%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) x x)

Samples

35.0ms

256×

valid

Compiler

Compiled 74 to 19 computations (74.3% saved)

Precisions

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

ival-mult: 9.0ms (49.1% of total)

ival-div: 4.0ms (21.8% of total)

ival-add: 3.0ms (16.4% of total)

ival-sub: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.2%)

Memory

-1.5MiB live, 37.5MiB allocated

Counts

11 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(+ (* (/ z (/ 1 (+ y -1))) x) x)
1.0ms	x	@	-inf	(* z (- (* y x) x))
1.0ms	x	@	-inf	(+ (* (/ z (/ 1 (+ y -1))) x) x)
0.0ms	z	@	0	(* z (- (* y x) x))
0.0ms	x	@	inf	(+ (* (/ z (/ 1 (+ y -1))) x) x)

rewrite391.0ms (3.5%)

Memory

4.6MiB live, 514.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 326×	`lower-fma.f32`
6 324×	`lower-fma.f64`
5 046×	`lower-*.f32`
5 036×	`lower-*.f64`
4 134×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	28	56
1	109	52
2	707	52
0	8436	52

Stop Event

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

Counts

11 → 906

Calls

Call 1

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

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

simplify295.0ms (2.7%)

Memory

14.2MiB live, 483.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 970×	`lower-fma.f64`
7 970×	`lower-fma.f32`
2 986×	`lower-*.f64`
2 986×	`lower-*.f32`
2 280×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1402
1	376	1380
2	1049	1377
3	2234	1371
4	5286	1363
0	8081	1331

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

Calls

Call 1

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

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

eval369.0ms (3.3%)

Memory: -166.6MiB live, 340.2MiB allocated
Compiler: Compiled 23 273 to 2 648 computations (88.6% saved)

prune315.0ms (2.8%)

Memory

8.8MiB live, 339.0MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 163	3	1 166
Fresh	1	2	3
Picked	1	4	5
Done	0	3	3
Total	1 165	12	1 177

Accuracy

100.0%

Counts

1 177 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.6%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) x x)
✓	96.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	70.6%	(fma.f64 (*.f64 z y) x x)
✓	64.5%	(-.f64 x (*.f64 z x))
✓	64.5%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	39.4%	(.f64 (.f64 z y) x)
▶	40.7%	(.f64 (.f64 z x) y)
▶	35.1%	(.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 z (fma.f64 y x x)))
▶	32.0%	(*.f64 (neg.f64 z) x)
✓	65.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	40.9%	(.f64 z (.f64 y x))
✓	34.5%	x

Compiler

Compiled 165 to 101 computations (38.8% saved)

simplify306.0ms (2.8%)

Memory

-15.9MiB live, 414.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 y (.f64 y x))
✓	cost-diff	0	(.f64 x (-.f64 (.f64 y (*.f64 y x)) x))
✓	cost-diff	128	(-.f64 (.f64 y (.f64 y x)) x)
✓	cost-diff	1600	(.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 z (fma.f64 y x x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) x x)
✓	cost-diff	1088	(/.f64 z (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(.f64 (.f64 z x) y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 (neg.f64 z) x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(fma.f64 (*.f64 z y) x x)

Rules

6 208×	`lower-fma.f32`
6 204×	`lower-fma.f64`
4 546×	`lower-*.f32`
4 530×	`lower-*.f64`
2 022×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	38	100
1	76	100
2	126	100
3	282	99
4	720	97
5	2248	91
6	4243	91
0	8046	89

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (0.7%)

Memory

31.2MiB live, 112.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (.f64 y x))
✓	accuracy	98.5%	(.f64 x (-.f64 (.f64 y (*.f64 y x)) x))
✓	accuracy	93.9%	(/.f64 z (fma.f64 y x x))
✓	accuracy	60.5%	(.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 z (fma.f64 y x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 z (/.f64 #s(literal 1 binary64) y))
✓	accuracy	96.9%	(fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) x x)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	89.2%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(*.f64 (neg.f64 z) x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	96.9%	(fma.f64 (*.f64 z y) x x)

Samples

44.0ms

256×

valid

Compiler

Compiled 111 to 24 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 18.0ms (61% of total)

ival-div: 5.0ms (16.9% of total)

ival-add: 4.0ms (13.5% of total)

ival-sub: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.5%)

Memory

-18.9MiB live, 116.9MiB allocated

Counts

14 → 372

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 z y) x x)>
#<alt (*.f64 z y)>
#<alt (*.f64 (neg.f64 z) x)>
#<alt (neg.f64 z)>
#<alt (.f64 (.f64 z x) y)>
#<alt (*.f64 z x)>
#<alt (/.f64 z (/.f64 #s(literal 1 binary64) y))>
#<alt (fma.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) x x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 z (fma.f64 y x x)))>
#<alt (-.f64 (.f64 y (.f64 y x)) x)>
#<alt (.f64 x (-.f64 (.f64 y (*.f64 y x)) x))>
#<alt (.f64 y (.f64 y x))>
#<alt (/.f64 z (fma.f64 y x x))>

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

Calls

93 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(/ z (+ (* y x) x))
5.0ms	x	@	-inf	(- (* y (* y x)) x)
3.0ms	x	@	0	(* (* x (- (* y (* y x)) x)) (/ z (+ (* y x) x)))
2.0ms	x	@	-inf	(* (* x (- (* y (* y x)) x)) (/ z (+ (* y x) x)))
2.0ms	x	@	inf	(* (* x (- (* y (* y x)) x)) (/ z (+ (* y x) x)))

rewrite871.0ms (7.9%)

Memory

-25.4MiB live, 612.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 750×	`lower-fma.f32`
9 746×	`lower-fma.f64`
6 206×	`lower-*.f32`
6 190×	`lower-*.f64`
4 436×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	38	78
1	138	78
2	957	69
0	8272	67

Stop Event

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

Counts

14 → 947

Calls

Call 1

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

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

simplify661.0ms (6%)

Memory

37.2MiB live, 386.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 506×	`lower-fma.f64`
16 506×	`lower-fma.f32`
5 308×	`lower-*.f64`
5 308×	`lower-*.f32`
2 152×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2275
1	414	2236
2	1107	2213
3	3647	2205
0	8290	2053

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

Calls

Call 1

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

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

eval1.1s (10%)

Memory: 25.4MiB live, 247.5MiB allocated
Compiler: Compiled 30 475 to 2 202 computations (92.8% saved)

prune204.0ms (1.8%)

Memory

-43.1MiB live, 327.8MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	1 311	4	1 315
Fresh	0	0	0
Picked	2	3	5
Done	0	7	7
Total	1 313	14	1 327

Accuracy

100.0%

Counts

1 327 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.3%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	70.6%	(fma.f64 (*.f64 z y) x x)
	71.7%	(fma.f64 (*.f64 z x) y x)
	39.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
✓	64.5%	(-.f64 x (*.f64 z x))
	40.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z x))) y)
✓	64.5%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	39.4%	(.f64 (.f64 z y) x)
✓	40.7%	(.f64 (.f64 z x) y)
	21.6%	(.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 z (*.f64 x y)))
✓	32.0%	(*.f64 (neg.f64 z) x)
✓	65.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	40.9%	(.f64 z (.f64 y x))
✓	34.5%	x

Compiler

Compiled 299 to 138 computations (53.8% saved)

regimes53.0ms (0.5%)

Memory

35.1MiB live, 151.9MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	y
8.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
8.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`y`
99.6%	2	`z`
97.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.0%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes38.0ms (0.3%)

Memory

-0.1MiB live, 78.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	z
6.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
5.0ms	x
5.0ms	y
5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
75.2%	2	`x`
95.8%	3	`y`
90.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.0%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
95.8%	3	`(-.f64 #s(literal 1 binary64) y)`
98.0%	3	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes26.0ms (0.2%)

Memory

-23.0MiB live, 53.8MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
6.0ms	y
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
95.8%	3	`y`
95.8%	3	`(-.f64 #s(literal 1 binary64) y)`
77.4%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
77.4%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
81.9%	4	`z`

Compiler

Compiled 32 to 24 computations (25% saved)

regimes9.0ms (0.1%)

Memory

28.2MiB live, 28.2MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
94.7%	3	`y`
94.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.2%)

Memory

-18.8MiB live, 35.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(-.f64 #s(literal 1 binary64) y)
4.0ms	y
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
76.8%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
88.3%	3	`y`
88.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-22.0MiB live, 15.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
87.9%	3	`(-.f64 #s(literal 1 binary64) y)`
87.9%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
86.7%	3	`y`
86.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

Memory

15.0MiB live, 54.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 x (*.f64 z x))

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))

Calls

7 calls:

5.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
64.5%	1	`x`
64.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
64.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
64.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
64.5%	1	`z`
64.5%	1	`y`
64.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes16.0ms (0.1%)

Memory

0.0MiB live, 39.4MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 x (neg.f64 z))
(*.f64 (neg.f64 z) x)

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

Calls

7 calls:

4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
39.4%	4	`x`
54.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
38.1%	2	`(-.f64 #s(literal 1 binary64) y)`
43.0%	4	`y`
62.8%	3	`z`
62.7%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
62.7%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes13.0ms (0.1%)

Memory

-12.4MiB live, 29.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))

Outputs
x

Calls

7 calls:

4.0ms	z
1.0ms	y
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms	x
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
34.5%	1	`x`
34.5%	1	`(-.f64 #s(literal 1 binary64) y)`
34.5%	1	`y`
34.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
34.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
34.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
34.5%	1	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch15.0ms (0.1%)

Memory

-13.0MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	59.75709303787104	33573467838.246136

Samples

8.0ms

144×

valid

Compiler

Compiled 222 to 149 computations (32.9% saved)

Precisions

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

ival-mult: 3.0ms (61.2% of total)

ival-sub: 2.0ms (40.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

20.4MiB live, 59.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.8013036927272224e-5	59.75709303787104
10.0ms	-17.96523048937028	-0.0013516893723952111

Samples

15.0ms

272×

valid

Compiler

Compiled 372 to 235 computations (36.8% saved)

Precisions

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

ival-mult: 5.0ms (57.3% of total)

ival-sub: 3.0ms (34.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0024116761481332	1.0172399397060228
0.0ms	-1837219.45624653	-16018.153729441538

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0024116761481332	1.0172399397060228
0.0ms	-1837219.45624653	-16018.153729441538

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch22.0ms (0.2%)

Memory

-14.2MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	16019.153729441538	1837220.45624653
9.0ms	-6.188426516235152e+77	-1.5221952513935108e+77

Samples

11.0ms

208×

valid

Compiler

Compiled 249 to 183 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 4.0ms (60.2% of total)

ival-mult: 3.0ms (45.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	16019.153729441538	1837220.45624653
0.0ms	-6.188426516235152e+77	-1.5221952513935108e+77

Compiler

Compiled 249 to 183 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5221952513935108e+77	6.188426516235152e+77
0.0ms	-1837219.45624653	-16018.153729441538

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch5.0ms (0%)

Memory

-24.7MiB live, 14.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4.8013036927272224e-5	59.75709303787104
3.0ms	-17.96523048937028	-0.0013516893723952111

Samples

1.0ms

32×

valid

Compiler

Compiled 236 to 184 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	201
1	75	201
2	88	201
3	95	201
4	98	201

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 33000000000 binary64)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x) (.f64 z (-.f64 (*.f64 y x) x)))
(if (<=.f64 z #s(literal -2476979795053773/2251799813685248 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 y #s(literal -184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 y #s(literal 90000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 90000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) x (.f64 x (neg.f64 z))))
x

Outputs
(if (<=.f64 z #s(literal 33000000000 binary64)) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x) (.f64 z (-.f64 (*.f64 y x) x)))
(if (<=.f64 z #s(literal -2476979795053773/2251799813685248 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (fma.f64 (.f64 z x) y x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4548635623644201/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 z x) y x)))
(if (<=.f64 y #s(literal -184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 y #s(literal 90000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (.f64 y (.f64 z x)) (if (<=.f64 y #s(literal 90000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 90000 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) x (.f64 x (neg.f64 z))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) x (.f64 z (neg.f64 x))))
x

soundness1.6s (14.1%)

Memory

18.9MiB live, 878.7MiB allocated

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
9 750×	`lower-fma.f32`
9 746×	`lower-fma.f64`
8 966×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	613
1	234	592
2	630	592
3	1394	592
4	4056	592
5	6304	592
6	7507	592
0	8012	544
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22
0	68	1216
1	219	1193
2	618	1193
3	1489	1193
4	4011	1193
5	6608	1193
6	7995	1193
0	8125	1133
0	14	43
0	25	41
1	102	41
2	621	41
3	6724	41
0	8342	41
0	20	82
0	38	78
1	138	78
2	957	69
0	8272	67

Stop Event

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

Compiler

Compiled 409 to 186 computations (54.5% saved)

preprocess136.0ms (1.2%)

Memory: -34.6MiB live, 298.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 592 to 192 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.4s (12.3%)

preprocess298.0ms (2.7%)

explain155.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify62.0ms (0.6%)

localize71.0ms (0.6%)

series9.0ms (0.1%)

rewrite436.0ms (3.9%)

simplify236.0ms (2.1%)

eval88.0ms (0.8%)

prune179.0ms (1.6%)

simplify58.0ms (0.5%)

localize101.0ms (0.9%)

series103.0ms (0.9%)

rewrite526.0ms (4.7%)

simplify320.0ms (2.9%)

eval172.0ms (1.5%)

prune93.0ms (0.8%)

simplify89.0ms (0.8%)

localize54.0ms (0.5%)

series28.0ms (0.2%)

rewrite391.0ms (3.5%)

simplify295.0ms (2.7%)

eval369.0ms (3.3%)

prune315.0ms (2.8%)

simplify306.0ms (2.8%)

localize78.0ms (0.7%)

series54.0ms (0.5%)

rewrite871.0ms (7.9%)

simplify661.0ms (6%)

eval1.1s (10%)

prune204.0ms (1.8%)

regimes53.0ms (0.5%)

regimes38.0ms (0.3%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes22.0ms (0.2%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

simplify9.0ms (0.1%)

soundness1.6s (14.1%)

preprocess136.0ms (1.2%)

end0.0ms (0%)

Profiling