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)

sample896.0ms (8%)

Memory

14.7MiB live, 1 216.0MiB allocated

Samples

585.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-sub: 220.0ms (61.5% of total)

ival-mult: 124.0ms (34.6% of total)

ival-true: 7.0ms (2% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess282.0ms (2.5%)

Memory

0.3MiB live, 114.0MiB 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)

explain103.0ms (0.9%)

Memory

8.8MiB live, 180.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(.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**	15	0

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-mult: 20.0ms (74.3% of total)

ival-sub: 5.0ms (18.6% 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

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify63.0ms (0.6%)

Memory

-3.1MiB live, 120.0MiB 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

localize29.0ms (0.3%)

Memory

-17.5MiB live, 59.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	94.4%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

19.0ms

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 (50.2% of total)

ival-mult: 3.0ms (50.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB 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	x	@	0	(* x (- 1 (* (- 1 y) z)))
1.0ms	z	@	-inf	(- 1 (* (- 1 y) z))
0.0ms	y	@	inf	(- 1 (* (- 1 y) z))
0.0ms	z	@	inf	(- 1 (* (- 1 y) z))

rewrite360.0ms (3.2%)

Memory

-4.8MiB live, 542.4MiB 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))))

simplify265.0ms (2.4%)

Memory

-1.2MiB live, 414.6MiB 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)

eval165.0ms (1.5%)

Memory: 1.8MiB live, 113.8MiB allocated
Compiler: Compiled 14 716 to 1 729 computations (88.3% saved)

prune96.0ms (0.9%)

Memory

1.0MiB live, 159.0MiB 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
▶	98.5%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	94.4%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
	62.1%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	62.2%	(-.f64 x (*.f64 z x))
	65.4%	(.f64 z (-.f64 (.f64 y x) x))
▶	39.9%	(.f64 z (.f64 y x))
	62.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	36.5%	(.f64 x (.f64 z y))
▶	33.7%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 190 to 120 computations (36.8% saved)

simplify66.0ms (0.6%)

Memory

-3.8MiB live, 73.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	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)
✓	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 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)

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	134	62
3	204	62
4	335	62
5	615	62
6	996	62
7	1199	62
8	1231	62
9	1236	62
10	1236	62
0	1236	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(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
(*.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 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

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

localize55.0ms (0.5%)

Memory

11.8MiB live, 133.2MiB 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 (+.f64 y #s(literal -1 binary64)))
✓	accuracy	94.4%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	93.1%	(.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 x)
✓	accuracy	98.5%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

34.0ms

256×

valid

Compiler

Compiled 68 to 18 computations (73.5% saved)

Precisions

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

ival-mult: 16.0ms (74.5% of total)

ival-add: 4.0ms (18.6% of total)

ival-sub: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

5.7MiB live, 43.8MiB allocated

Counts

9 → 228

Calls

Call 1

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

Outputs
#<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)))>
#<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 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>
#<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 (* 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>
#<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))))>

Calls

57 calls:

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

rewrite525.0ms (4.7%)

Memory

10.7MiB live, 561.0MiB 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	6721	41
0	8339	41

Stop Event

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

Counts

9 → 596

Calls

Call 1

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

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

simplify996.0ms (8.8%)

Memory

-26.0MiB live, 427.0MiB 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	1396
1	219	1193
2	616	1193
3	1480	1193
4	3993	1193
5	6585	1193
6	7972	1193
0	8102	1133

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 211

Calls

Call 1

Inputs
(+ 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)))
-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 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
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 (* 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
(+ 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))))

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

eval245.0ms (2.2%)

Memory: 1.0MiB live, 193.0MiB allocated
Compiler: Compiled 21 034 to 1 241 computations (94.1% saved)

prune111.0ms (1%)

Memory

-7.7MiB live, 152.6MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	911	6	917
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	916	10	926

Accuracy

100.0%

Counts

926 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶	68.1%	(fma.f64 (*.f64 z y) x x)
▶	62.2%	(fma.f64 (neg.f64 z) x x)
▶	62.1%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	43.0%	(.f64 (.f64 z x) y)
	36.5%	(.f64 (.f64 y z) x)
	65.4%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.9%	(.f64 z (.f64 y x))
	30.9%	(*.f64 z (neg.f64 x))
▶	33.7%	x

Compiler

Compiled 177 to 108 computations (39% saved)

simplify289.0ms (2.6%)

Memory

25.4MiB live, 542.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

10 768×	`lower-fma.f32`
10 758×	`lower-fma.f64`
3 140×	`lower-*.f32`
3 130×	`lower-*.f64`
1 712×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
0	40	126
1	96	126
2	260	126
3	1047	126
4	4692	126
5	7760	126
0	8204	120

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

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

localize127.0ms (1.1%)

Memory

-23.0MiB live, 147.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z))
✓	accuracy	97.8%	(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64))
✓	accuracy	93.4%	(.f64 x (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64)))
✓	accuracy	71.4%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z (neg.f64 y) z)) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	91.1%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(fma.f64 (neg.f64 z) x x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	94.4%	(fma.f64 (*.f64 z y) x x)

Samples

98.0ms

256×

valid

Compiler

Compiled 142 to 27 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 38.0ms (45.1% of total)

ival-div: 26.0ms (30.9% of total)

ival-mult: 16.0ms (19% of total)

ival-neg: 3.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

1.3MiB live, 39.6MiB allocated

Counts

11 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite462.0ms (4.1%)

Memory

8.7MiB live, 764.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 692×	`lower-fma.f32`
8 682×	`lower-fma.f64`
3 944×	`lower-*.f32`
3 934×	`lower-*.f64`
3 794×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	40	96
1	172	96
2	1307	73
0	8747	72

Stop Event

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

Counts

11 → 583

Calls

Call 1

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

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

simplify475.0ms (4.2%)

Memory

4.9MiB live, 682.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
5 400×	`lower-*.f64`
5 400×	`lower-*.f32`
3 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	4055
1	1198	3746
2	4079	3327
0	8472	3222

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 307

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

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

eval264.0ms (2.3%)

Memory: 2.4MiB live, 189.9MiB allocated
Compiler: Compiled 26 566 to 2 723 computations (89.8% saved)

prune200.0ms (1.8%)

Memory

8.7MiB live, 131.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	887	3	890
Fresh	1	2	3
Picked	1	4	5
Done	0	2	2
Total	889	11	900

Accuracy

100.0%

Counts

900 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	68.1%	(fma.f64 (*.f64 z y) x x)
✓	62.2%	(fma.f64 (neg.f64 z) x x)
▶	19.8%	(/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	49.4%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	36.5%	(.f64 (.f64 z y) x)
✓	43.0%	(.f64 (.f64 z x) y)
▶	65.4%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.9%	(.f64 z (.f64 y x))
▶	30.9%	(*.f64 z (neg.f64 x))
✓	33.7%	x

Compiler

Compiled 180 to 112 computations (37.8% saved)

simplify603.0ms (5.4%)

Memory

-20.8MiB live, 265.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 z (.f64 y (.f64 y (neg.f64 z))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	256	(neg.f64 (.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 y (.f64 z z))
✓	cost-diff	0	(.f64 y (.f64 y (*.f64 z z)))
✓	cost-diff	0	(.f64 x (.f64 y (.f64 y (.f64 z z))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(.f64 (.f64 z y) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) x)
✓	cost-diff	0	(.f64 z (-.f64 (.f64 y x) x))

Rules

5 856×	`lower-fma.f32`
5 852×	`lower-fma.f64`
3 496×	`lower-*.f32`
3 472×	`lower-*.f64`
2 372×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	167
0	49	167
1	104	167
2	265	165
3	874	165
4	1762	165
5	2997	165
6	4302	165
7	4632	165
8	4693	165
9	4693	165
10	5028	165
11	5040	165
12	5040	165
13	5040	165
14	7350	165
15	7464	165
16	7480	165
17	7516	165
18	7532	165
19	7532	165
20	7644	165
0	8068	163

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.4%)

Memory

36.0MiB live, 150.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (.f64 y (neg.f64 z)))
✓	accuracy	97.7%	(fma.f64 z (.f64 y (.f64 y (neg.f64 z))) #s(literal 1 binary64))
✓	accuracy	96.7%	(.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64)))
✓	accuracy	71.7%	(/.f64 (neg.f64 (.f64 x (fma.f64 z (.f64 y (*.f64 y (neg.f64 z))) #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	accuracy	95.4%	(.f64 y (.f64 y (*.f64 z z)))
✓	accuracy	92.2%	(.f64 x (.f64 y (.f64 y (.f64 z z))))
✓	accuracy	89.4%	(.f64 y (.f64 z z))
✓	accuracy	71.6%	(/.f64 (.f64 x (.f64 y (.f64 y (.f64 z z)))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	91.2%	(.f64 (.f64 z y) x)
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	96.6%	(.f64 z (-.f64 (.f64 y x) x))

Samples

132.0ms

256×

valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-neg: 51.0ms (54% of total)

ival-mult: 34.0ms (36% of total)

ival-div: 3.0ms (3.2% of total)

ival-add: 3.0ms (3.2% of total)

ival-sub: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series123.0ms (1.1%)

Memory

-26.4MiB live, 55.5MiB allocated

Counts

16 → 456

Calls

Call 1

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

Outputs
#<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)>
#<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 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<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 (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))>
#<alt (/ (* x (* (pow y 2) (pow z 2))) (- (* -1 z) 1))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x (* y (pow z 3))) (pow (- (* -1 z) 1) 2))) (/ (* x (pow z 2)) (- (* -1 z) 1))))>
#<alt (* (pow y 2) (+ (* y (- (/ (* x (* y (pow z 4))) (pow (- (* -1 z) 1) 3)) (/ (* x (pow z 3)) (pow (- (* -1 z) 1) 2)))) (/ (* x (pow z 2)) (- (* -1 z) 1))))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1 (/ (* x (* y (pow z 5))) (pow (- (* -1 z) 1) 4))) (* -1 (/ (* x (pow z 4)) (pow (- (* -1 z) 1) 3))))) (/ (* x (pow z 3)) (pow (- (* -1 z) 1) 2)))) (/ (* x (pow z 2)) (- (* -1 z) 1))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (* x z)))>
#<alt (* y (- (+ (* x z) (/ (* x (pow (- (* -1 z) 1) 2)) (* (pow y 2) z))) (/ (* x (- (* -1 z) 1)) y)))>
#<alt (* y (- (+ (* -1 (/ (* x (pow (- (* -1 z) 1) 3)) (* (pow y 3) (pow z 2)))) (* x z)) (+ (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) (* (pow y 2) z))) (/ (* x (- (* -1 z) 1)) y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x (- (* -1 z) 1)) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (/ (* x (pow (- (* -1 z) 1) 2)) (* y z)) (* x (- (* -1 z) 1))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- (* -1 z) 1) 3)) (* y (pow z 2))) (/ (* x (pow (- (* -1 z) 1) 2)) z)) y)) (* x (- (* -1 z) 1))) y)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (* (pow y 2) (* z (- y 1))))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* -1 (* x (* (pow y 2) (* z (pow (- y 1) 2))))) (* x (* (pow y 2) (- y 1)))))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* z (- (* -1 (* x (* (pow y 2) (* z (pow (- y 1) 3))))) (* x (* (pow y 2) (pow (- y 1) 2))))) (* x (* (pow y 2) (- y 1)))))))>
#<alt (/ (* x (* (pow y 2) z)) (- y 1))>
#<alt (* z (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))>
#<alt (* z (- (+ (/ (* x (pow y 2)) (* (pow z 2) (pow (- y 1) 3))) (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2))))))>
#<alt (* z (- (+ (/ (* x (pow y 2)) (* (pow z 3) (pow (- y 1) 4))) (/ (* x (pow y 2)) (- y 1))) (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (* (pow z 2) (pow (- y 1) 3)))))))>
#<alt (/ (* x (* (pow y 2) z)) (- y 1))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (- y 1))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (/ (* x (pow y 2)) (* z (pow (- y 1) 3))) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 4)))) (/ (* x (pow y 2)) (pow (- y 1) 3))) z)) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 2)))) z)))))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))>
#<alt (* -1 x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))>
#<alt (* -1 x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (- (* x (* (pow y 2) (pow z 2))) x)>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* x (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* z (+ (* -1 (* z (- (* x (pow y 2)) (* x (pow (- y 1) 2))))) (* x (- y 1)))))>
#<alt (+ x (* z (+ (* x (- y 1)) (* z (+ (* -1 (* z (* (- y 1) (- (* x (pow y 2)) (* x (pow (- y 1) 2)))))) (* -1 (- (* x (pow y 2)) (* x (pow (- y 1) 2)))))))))>
#<alt (/ (* x (* (pow y 2) z)) (- y 1))>
#<alt (* z (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))>
#<alt (* z (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (pow z 2))) (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1)))))>
#<alt (* z (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (* (pow z 3) (- y 1)))) (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (pow z 2))) (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))))>
#<alt (/ (* x (* (pow y 2) z)) (- y 1))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (- y 1))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (+ (* -1 (/ x (* z (- y 1)))) (/ (* x (pow y 2)) (pow (- y 1) 2))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 3))))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ x (- y 1))) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 3))))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 4))))) (* -1 (/ x (* z (pow (- y 1) 2))))) z)) (/ (* x (pow y 2)) (pow (- y 1) 2))) z)))))>
#<alt (* -1 (/ x (- (* -1 z) 1)))>
#<alt (+ (* -1 (/ x (- (* -1 z) 1))) (/ (* x (* y z)) (pow (- (* -1 z) 1) 2)))>
#<alt (+ (* -1 (/ x (- (* -1 z) 1))) (* y (+ (* -1 (* y (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3)))))) (/ (* x z) (pow (- (* -1 z) 1) 2)))))>
#<alt (+ (* -1 (/ x (- (* -1 z) 1))) (* y (+ (* y (+ (* -1 (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3))))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3)))))) (- (* -1 z) 1)))) (/ (* x z) (pow (- (* -1 z) 1) 2)))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (+ (* -1 (/ (- (/ x z) (/ (* x (pow (- (* -1 z) 1) 2)) z)) (pow y 2))) (* x z))))>
#<alt (* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (+ (* -1 (/ (- (/ x z) (/ (* x (pow (- (* -1 z) 1) 2)) z)) (pow y 2))) (+ (* x z) (/ (* (- (* -1 z) 1) (- (/ x z) (/ (* x (pow (- (* -1 z) 1) 2)) z))) (* (pow y 3) z))))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x (- (* -1 z) 1)) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -1 (* x (- (* -1 z) 1))) (* -1 (/ x (* y z)))) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) (* y z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* x (- (* -1 z) 1))) (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) z)))) (/ (* (- (* -1 z) 1) (- (* -1 (/ x z)) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) z)))) (* y z))) y))) y)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))>
#<alt x>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))>
#<alt x>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (+ x (* -1 (* x (* (pow y 2) (pow z 2)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (+ 1 (* -1 (* (pow y 2) (pow z 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>
#<alt (* -1 (* (pow y 2) z))>

Calls

114 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	(/ (* x (* y (* y (* z z)))) (+ (* z (+ y -1)) -1))
43.0ms	z	@	inf	(* y (* y (neg z)))
7.0ms	y	@	0	(/ (* x (* y (* y (* z z)))) (+ (* z (+ y -1)) -1))
1.0ms	x	@	0	(/ (neg (* x (+ (* z (* y (* y (neg z)))) 1))) (+ (* z (+ y -1)) -1))
1.0ms	y	@	0	(* x (* y (* y (* z z))))

rewrite416.0ms (3.7%)

Memory

14.9MiB live, 648.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 074×	`lower-fma.f32`
6 070×	`lower-fma.f64`
5 138×	`lower-*.f32`
5 114×	`lower-*.f64`
4 178×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	123
0	49	123
1	164	123
2	1030	107
0	8507	107

Stop Event

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

Counts

16 → 860

Calls

Call 1

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

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

simplify564.0ms (5%)

Memory

-20.6MiB live, 671.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 194×	`lower-fma.f64`
9 194×	`lower-fma.f32`
6 838×	`lower-*.f64`
6 838×	`lower-*.f32`
1 714×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	4742
1	1292	4532
2	4805	4412
0	8176	4305

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

Inputs
(* 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)
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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)
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* z (- y 1)) 1))
(/ (* x (* (pow y 2) (pow z 2))) (- (* -1 z) 1))
(* (pow y 2) (+ (* -1 (/ (* x (* y (pow z 3))) (pow (- (* -1 z) 1) 2))) (/ (* x (pow z 2)) (- (* -1 z) 1))))
(* (pow y 2) (+ (* y (- (/ (* x (* y (pow z 4))) (pow (- (* -1 z) 1) 3)) (/ (* x (pow z 3)) (pow (- (* -1 z) 1) 2)))) (/ (* x (pow z 2)) (- (* -1 z) 1))))
(* (pow y 2) (+ (* y (- (* y (- (* -1 (/ (* x (* y (pow z 5))) (pow (- (* -1 z) 1) 4))) (* -1 (/ (* x (pow z 4)) (pow (- (* -1 z) 1) 3))))) (/ (* x (pow z 3)) (pow (- (* -1 z) 1) 2)))) (/ (* x (pow z 2)) (- (* -1 z) 1))))
(* x (* y z))
(* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (* x z)))
(* y (- (+ (* x z) (/ (* x (pow (- (* -1 z) 1) 2)) (* (pow y 2) z))) (/ (* x (- (* -1 z) 1)) y)))
(* y (- (+ (* -1 (/ (* x (pow (- (* -1 z) 1) 3)) (* (pow y 3) (pow z 2)))) (* x z)) (+ (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) (* (pow y 2) z))) (/ (* x (- (* -1 z) 1)) y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x (- (* -1 z) 1)) y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (/ (* x (pow (- (* -1 z) 1) 2)) (* y z)) (* x (- (* -1 z) 1))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- (* -1 z) 1) 3)) (* y (pow z 2))) (/ (* x (pow (- (* -1 z) 1) 2)) z)) y)) (* x (- (* -1 z) 1))) y)))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow z 2) (+ (* -1 (* x (* (pow y 2) (* z (- y 1))))) (* -1 (* x (pow y 2)))))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* -1 (* x (* (pow y 2) (* z (pow (- y 1) 2))))) (* x (* (pow y 2) (- y 1)))))))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (- (* z (- (* -1 (* x (* (pow y 2) (* z (pow (- y 1) 3))))) (* x (* (pow y 2) (pow (- y 1) 2))))) (* x (* (pow y 2) (- y 1)))))))
(/ (* x (* (pow y 2) z)) (- y 1))
(* z (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))
(* z (- (+ (/ (* x (pow y 2)) (* (pow z 2) (pow (- y 1) 3))) (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2))))))
(* z (- (+ (/ (* x (pow y 2)) (* (pow z 3) (pow (- y 1) 4))) (/ (* x (pow y 2)) (- y 1))) (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (* (pow z 2) (pow (- y 1) 3)))))))
(/ (* x (* (pow y 2) z)) (- y 1))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (- y 1))))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (/ (* x (pow y 2)) (* z (pow (- y 1) 3))) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 4)))) (/ (* x (pow y 2)) (pow (- y 1) 3))) z)) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 2)))) z)))))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))))
(* -1 x)
(- (* x (* (pow y 2) (pow z 2))) x)
(- (* x (* (pow y 2) (pow z 2))) x)
(- (* x (* (pow y 2) (pow z 2))) x)
(* x (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* x (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* (pow z 2) (- (* -1 (/ x (pow z 2))) (* -1 (* x (pow y 2)))))
(* -1 x)
(- (* x (* (pow y 2) (pow z 2))) x)
(- (* x (* (pow y 2) (pow z 2))) x)
(- (* x (* (pow y 2) (pow z 2))) x)
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* x (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* (pow y 2) (- (* -1 (/ x (pow y 2))) (* -1 (* x (pow z 2)))))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
(* -1 (/ (* x (+ 1 (* -1 (* (pow y 2) (pow z 2))))) (- (* z (- y 1)) 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* z (+ (* -1 (* z (- (* x (pow y 2)) (* x (pow (- y 1) 2))))) (* x (- y 1)))))
(+ x (* z (+ (* x (- y 1)) (* z (+ (* -1 (* z (* (- y 1) (- (* x (pow y 2)) (* x (pow (- y 1) 2)))))) (* -1 (- (* x (pow y 2)) (* x (pow (- y 1) 2)))))))))
(/ (* x (* (pow y 2) z)) (- y 1))
(* z (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))
(* z (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (pow z 2))) (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1)))))
(* z (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (* (pow z 3) (- y 1)))) (+ (* -1 (/ (- (/ x (- y 1)) (/ (* x (pow y 2)) (pow (- y 1) 3))) (pow z 2))) (+ (/ (* x (pow y 2)) (* z (pow (- y 1) 2))) (/ (* x (pow y 2)) (- y 1))))))
(/ (* x (* (pow y 2) z)) (- y 1))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 2)))) (* -1 (/ (* x (pow y 2)) (- y 1))))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (- (+ (* -1 (/ x (* z (- y 1)))) (/ (* x (pow y 2)) (pow (- y 1) 2))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 3))))) z)))))
(* -1 (* z (+ (* -1 (/ (* x (pow y 2)) (- y 1))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ x (- y 1))) (* -1 (/ (* x (pow y 2)) (pow (- y 1) 3))))) (* -1 (/ (* x (pow y 2)) (* z (pow (- y 1) 4))))) (* -1 (/ x (* z (pow (- y 1) 2))))) z)) (/ (* x (pow y 2)) (pow (- y 1) 2))) z)))))
(* -1 (/ x (- (* -1 z) 1)))
(+ (* -1 (/ x (- (* -1 z) 1))) (/ (* x (* y z)) (pow (- (* -1 z) 1) 2)))
(+ (* -1 (/ x (- (* -1 z) 1))) (* y (+ (* -1 (* y (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3)))))) (/ (* x z) (pow (- (* -1 z) 1) 2)))))
(+ (* -1 (/ x (- (* -1 z) 1))) (* y (+ (* y (+ (* -1 (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3))))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (pow z 2)) (pow (- (* -1 z) 1) 3)))))) (- (* -1 z) 1)))) (/ (* x z) (pow (- (* -1 z) 1) 2)))))
(* x (* y z))
(* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (* x z)))
(* y (+ (* -1 (/ (* x (- (* -1 z) 1)) y)) (+ (* -1 (/ (- (/ x z) (/ (* x (pow (- (* -1 z) 1) 2)) z)) (pow y 2))) (* x z))))
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(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x (- (* -1 z) 1)) y))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -1 (* x (- (* -1 z) 1))) (* -1 (/ x (* y z)))) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) (* y z)))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (* x (- (* -1 z) 1))) (* -1 (/ (+ (* -1 (- (* -1 (/ x z)) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) z)))) (/ (* (- (* -1 z) 1) (- (* -1 (/ x z)) (* -1 (/ (* x (pow (- (* -1 z) 1) 2)) z)))) (* y z))) y))) y)))))
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))
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(* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))
(* x (+ 1 (* -1 (* (pow y 2) (pow z 2)))))
x
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
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(* (pow z 2) (+ (* -1 (* x (pow y 2))) (/ x (pow z 2))))
x
(+ x (* -1 (* x (* (pow y 2) (pow z 2)))))
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(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (/ x (pow y 2))))
1
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(* (pow z 2) (+ (* -1 (pow y 2)) (/ 1 (pow z 2))))
1
(+ 1 (* -1 (* (pow y 2) (pow z 2))))
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(* (pow y 2) (+ (* -1 (pow z 2)) (/ 1 (pow y 2))))
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(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))
(* -1 (* (pow y 2) z))

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

eval618.0ms (5.5%)

Memory: 32.7MiB live, 382.5MiB allocated
Compiler: Compiled 34 950 to 2 715 computations (92.2% saved)

prune235.0ms (2.1%)

Memory

-1.7MiB live, 197.1MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 311	2	1 313
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	1 313	11	1 324

Accuracy

100.0%

Counts

1 324 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	68.1%	(fma.f64 (*.f64 z y) x x)
✓	62.2%	(fma.f64 (neg.f64 z) x x)
	20.0%	(/.f64 (.f64 (.f64 y (.f64 z (.f64 z y))) x) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
	65.2%	(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x))))
✓	36.5%	(.f64 (.f64 z y) x)
✓	43.0%	(.f64 (.f64 z x) y)
✓	65.4%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.9%	(.f64 z (.f64 y x))
✓	30.9%	(*.f64 z (neg.f64 x))
✓	33.7%	x

Compiler

Compiled 275 to 124 computations (54.9% saved)

regimes59.0ms (0.5%)

Memory

8.1MiB live, 46.0MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms	y
7.0ms	x
6.0ms	z
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes42.0ms (0.4%)

Memory

11.0MiB live, 48.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
5.0ms	x
5.0ms	z
5.0ms	y
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`y`
98.4%	2	`z`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
99.9%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
94.4%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes106.0ms (0.9%)

Memory

-39.1MiB live, 42.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

4 calls:

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

Results

Accuracy	Segments	Branch
89.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.3%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.3%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.7%	3	`z`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes86.0ms (0.8%)

Memory

3.6MiB live, 43.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

6 calls:

64.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
82.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
82.2%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
68.1%	1	`x`
93.6%	3	`y`
93.6%	3	`(-.f64 #s(literal 1 binary64) y)`
81.5%	4	`z`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.6%	3	`y`
89.6%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.3%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
88.6%	3	`y`
88.6%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes90.0ms (0.8%)

Memory

-24.6MiB live, 12.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

86.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	y

Results

Accuracy	Segments	Branch
85.3%	3	`y`
85.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes68.0ms (0.6%)

Memory

-3.2MiB live, 36.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

52.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
62.2%	1	`x`
62.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
62.2%	1	`z`
62.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
62.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
62.2%	1	`y`
62.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes69.0ms (0.6%)

Memory

-28.3MiB live, 33.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
62.2%	1	`(-.f64 #s(literal 1 binary64) y)`
62.2%	1	`x`
62.2%	1	`z`
62.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
62.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
62.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
62.2%	1	`y`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes13.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
37.1%	3	`(-.f64 #s(literal 1 binary64) y)`
42.1%	4	`x`
61.1%	3	`z`
52.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
61.0%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
61.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
39.4%	3	`y`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes20.0ms (0.2%)

Memory

-15.7MiB live, 21.6MiB 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:

10.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
33.7%	1	`(-.f64 #s(literal 1 binary64) y)`
33.7%	1	`y`
33.7%	1	`x`
33.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
33.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
33.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
33.7%	1	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-6.390441593773902e+35	-2.139756901520736e+35

Samples

1.0ms

16×

valid

Compiler

Compiled 38 to 29 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

bsearch80.0ms (0.7%)

Memory

-4.2MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
66.0ms	0.00046972307652135437	241546.4095560876
12.0ms	-539018.4908849127	-0.3576535162768799

Samples

68.0ms

288×

valid

Compiler

Compiled 393 to 248 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 58.0ms (94.2% of total)

ival-sub: 3.0ms (4.9% 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

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000094369779	176003112.80955875
0.0ms	-2587505571.544744	-887601.4592445394

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.749915161313566e+27	4.031565259070936e+29
0.0ms	-5.474256483756181e+40	-7.414161874659072e+28

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.749915161313566e+27	4.031565259070936e+29
0.0ms	-5.474256483756181e+40	-7.414161874659072e+28

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.749915161313566e+27	4.031565259070936e+29
0.0ms	-5.474256483756181e+40	-7.414161874659072e+28

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch22.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.381564161983652e+20	7.151093768467253e+34
7.0ms	-539018.4908849127	-0.3576535162768799

Samples

11.0ms

240×

valid

Compiler

Compiled 262 to 204 computations (22.1% saved)

Precisions

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

ival-mult: 3.0ms (54.6% of total)

ival-sub: 2.0ms (36.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify92.0ms (0.8%)

Memory

-16.0MiB live, 22.9MiB 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	54	193
1	77	193
2	90	193
3	96	193
4	98	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -7656119366529843/9007199254740992 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 -2000000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (.f64 z y) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 (.f64 z x) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 z (.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 850000000000000000000 binary64)) x (.f64 z (neg.f64 x))))
x

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(if (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -500000000000000021210318687008980992 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x))
(if (<=.f64 z #s(literal -7656119366529843/9007199254740992 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 z #s(literal -7656119366529843/9007199254740992 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 y z) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (.f64 z y) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2000000000 binary64)) (fma.f64 (.f64 y z) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (.f64 y z) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 (.f64 z x) y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 y (.f64 z x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 y (.f64 z x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 z (.f64 y x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000000000000310004322520389159747584 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 9999999999999999583119736832 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 y z))))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 850000000000000000000 binary64)) x (.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -1 binary64)) (neg.f64 (.f64 z x)) (if (<=.f64 z #s(literal 850000000000000000000 binary64)) x (neg.f64 (.f64 z x))))
x

soundness1.6s (13.9%)

Memory

16.8MiB live, 888.6MiB allocated

Rules

11 102×	`lower-fma.f64`
11 102×	`lower-fma.f32`
8 966×	`lower-fma.f32`
8 962×	`lower-fma.f64`
7 140×	`lower-fma.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
0	14	43
0	25	41
1	102	41
2	621	41
3	6721	41
0	8339	41
0	68	1396
1	219	1193
2	616	1193
3	1480	1193
4	3993	1193
5	6585	1193
6	7972	1193
0	8102	1133
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22

Stop Event

1×	fuel
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 389 to 177 computations (54.5% saved)

preprocess72.0ms (0.6%)

Memory: 14.3MiB live, 209.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 594 to 196 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample896.0ms (8%)

preprocess282.0ms (2.5%)

explain103.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.6%)

localize29.0ms (0.3%)

series7.0ms (0.1%)

rewrite360.0ms (3.2%)

simplify265.0ms (2.4%)

eval165.0ms (1.5%)

prune96.0ms (0.9%)

simplify66.0ms (0.6%)

localize55.0ms (0.5%)

series19.0ms (0.2%)

rewrite525.0ms (4.7%)

simplify996.0ms (8.8%)

eval245.0ms (2.2%)

prune111.0ms (1%)

simplify289.0ms (2.6%)

localize127.0ms (1.1%)

series26.0ms (0.2%)

rewrite462.0ms (4.1%)

simplify475.0ms (4.2%)

eval264.0ms (2.3%)

prune200.0ms (1.8%)

simplify603.0ms (5.4%)

localize163.0ms (1.4%)

series123.0ms (1.1%)

rewrite416.0ms (3.7%)

simplify564.0ms (5%)

eval618.0ms (5.5%)

prune235.0ms (2.1%)

regimes59.0ms (0.5%)

regimes42.0ms (0.4%)

regimes106.0ms (0.9%)

regimes86.0ms (0.8%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes90.0ms (0.8%)

regimes68.0ms (0.6%)

regimes69.0ms (0.6%)

regimes13.0ms (0.1%)

regimes20.0ms (0.2%)

bsearch2.0ms (0%)

bsearch80.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.2%)

simplify92.0ms (0.8%)

soundness1.6s (13.9%)

preprocess72.0ms (0.6%)

end0.0ms (0%)

Profiling