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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample974.0ms (8.3%)

Memory

15.2MiB live, 1 243.3MiB allocated

Samples

696.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 143.0ms (53% of total)

ival-sub: 113.0ms (41.9% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess228.0ms (1.9%)

Memory

11.0MiB live, 128.8MiB 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)

explain104.0ms (0.9%)

Memory

20.4MiB live, 175.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(.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**	7	0

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (49.1% of total)

ival-sub: 5.0ms (41% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify168.0ms (1.4%)

Memory

-17.7MiB live, 98.9MiB 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

localize28.0ms (0.2%)

Memory

-7.0MiB live, 33.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	97.3%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

20.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (71.3% of total)

ival-sub: 2.0ms (23.8% 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

9.6MiB live, 9.6MiB 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))

rewrite352.0ms (3%)

Memory

11.4MiB live, 648.5MiB 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))))

simplify412.0ms (3.5%)

Memory

-163.3MiB live, 422.0MiB 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)

eval170.0ms (1.4%)

Memory: 18.7MiB live, 132.6MiB allocated
Compiler: Compiled 14 716 to 1 729 computations (88.3% saved)

prune110.0ms (0.9%)

Memory

6.8MiB live, 165.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	528	11	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	11	540

Accuracy

100.0%

Counts

540 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
	97.3%	(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
▶	94.4%	(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
▶	68.2%	(-.f64 x (*.f64 z x))
	59.7%	(.f64 z (-.f64 (.f64 y x) x))
▶	39.0%	(.f64 z (.f64 y x))
	82.3%	(.f64 x (fma.f64 (.f64 (neg.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)))
	59.0%	(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
	68.2%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	39.2%	(.f64 x (.f64 z y))
▶	39.8%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 252 to 158 computations (37.3% saved)

simplify67.0ms (0.6%)

Memory

-26.5MiB live, 71.2MiB 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 x (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z 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	52	62
2	132	62
3	186	62
4	287	62
5	564	62
6	914	62
7	1164	62
8	1257	62
9	1262	62
10	1262	62
0	1262	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 x (+.f64 y #s(literal -1 binary64))) z x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z

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

localize51.0ms (0.4%)

Memory

0.1MiB live, 114.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	94.4%	(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	91.4%	(.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	97.9%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

31.0ms

256×

valid

Compiler

Compiled 68 to 18 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (52.6% of total)

ival-add: 7.0ms (36.8% of total)

ival-sub: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-10.7MiB live, 32.2MiB 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 x (+.f64 y #s(literal -1 binary64))) z x)>
#<alt (*.f64 x (+.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 (+ 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 (+ 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 (- 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 (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<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))))>

Calls

57 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(* x (+ y -1))
3.0ms	y	@	0	(* x (+ y -1))
2.0ms	x	@	0	(+ (* (+ y -1) (* z x)) x)
0.0ms	x	@	inf	(+ (* (+ y -1) (* z x)) x)
0.0ms	x	@	0	(* z (* y x))

rewrite947.0ms (8.1%)

Memory

26.7MiB live, 504.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 404×	`lower-fma.f32`
9 400×	`lower-fma.f64`
5 024×	`lower-*.f32`
5 014×	`lower-*.f64`
2 716×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	25	41
1	97	41
2	731	41
3	6904	41
0	8097	41

Stop Event

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

Counts

9 → 593

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

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

simplify367.0ms (3.1%)

Memory

21.6MiB live, 288.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 984×	`lower-fma.f64`
6 984×	`lower-fma.f32`
2 310×	`lower-*.f64`
2 310×	`lower-*.f32`
1 446×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1396
1	217	1193
2	615	1193
3	1509	1193
4	4971	1193
5	6474	1193
6	7824	1193
0	8003	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 (+ 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)))
(+ 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 (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* 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 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* 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))))

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 x (-.f64 (.f64 z y) z))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 z y) z))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
-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 (+ 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)
(+ x (* -1 (* x z)))
(-.f64 x (*.f64 x z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 x (.f64 z y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* y z))
(.f64 x (.f64 z y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(+ x (* x (* z (- y 1))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 z y) z))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (* z (- y 1)))
(.f64 x (-.f64 (.f64 z y) z))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (-.f64 (*.f64 z y) z) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 x y) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 x y) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)

eval182.0ms (1.6%)

Memory: -15.4MiB live, 182.0MiB allocated
Compiler: Compiled 21 140 to 1 241 computations (94.1% saved)

prune99.0ms (0.8%)

Memory

-9.2MiB live, 241.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	909	11	920
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	917	14	931

Accuracy

100.0%

Counts

931 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.5%	(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) x)
	97.3%	(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
▶	79.5%	(fma.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
	73.1%	(fma.f64 (*.f64 x y) z x)
	27.5%	(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) 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))))))
	68.3%	(fma.f64 (neg.f64 z) x x)
▶	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))
	43.4%	(.f64 (.f64 z x) y)
▶	39.2%	(.f64 (.f64 y z) x)
▶	59.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.0%	(.f64 z (.f64 y x))
	31.4%	(*.f64 z (neg.f64 x))
	82.3%	(.f64 x (fma.f64 (.f64 (neg.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)))
▶	39.8%	x

Compiler

Compiled 356 to 203 computations (43% saved)

simplify434.0ms (3.7%)

Memory

-15.5MiB live, 745.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	cost-diff	1408	(fma.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) 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))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 (.f64 y z) x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))

Rules

16 054×	`lower-fma.f32`
16 048×	`lower-fma.f64`
3 032×	`lower-*.f32`
3 018×	`lower-*.f64`
2 458×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	117
0	40	106
1	76	106
2	177	106
3	528	106
4	1891	106
5	4972	106
0	8270	106

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (0.6%)

Memory

35.4MiB live, 190.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	94.5%	(.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	accuracy	94.1%	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	90.0%	(fma.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	94.4%	(.f64 z (-.f64 (.f64 y x) x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	92.5%	(.f64 (.f64 y z) x)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
✓	accuracy	97.9%	(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)

Samples

47.0ms

256×

valid

Compiler

Compiled 127 to 26 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48% of total)

ival-div: 7.0ms (24% of total)

ival-add: 7.0ms (24% of total)

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

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.2%)

Memory

-25.5MiB live, 50.8MiB allocated

Counts

15 → 408

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))>
#<alt (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (.f64 (.f64 y z) x)>
#<alt (*.f64 y z)>
#<alt (.f64 z (-.f64 (.f64 y x) x))>
#<alt (-.f64 (*.f64 y x) x)>
#<alt (*.f64 y x)>
#<alt (fma.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)>
#<alt (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 y y #s(literal -1 binary64)))>
#<alt (fma.f64 y y #s(literal -1 binary64))>
#<alt (*.f64 z x)>
#<alt (/.f64 #s(literal 1 binary64) (+.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 (+ x (* -1 (* x z))))>
#<alt (+ (* -1 (/ (* x (* y z)) (pow (+ x (* -1 (* x z))) 2))) (/ 1 (+ x (* -1 (* x z)))))>
#<alt (+ (* y (- (/ (* (pow x 2) (* y (pow z 2))) (pow (+ x (* -1 (* x z))) 3)) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z)))))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* (pow x 3) (* y (pow z 3))) (pow (+ x (* -1 (* x z))) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ x (* -1 (* x z))) 3))))) (/ (* x z) (pow (+ x (* -1 (* x z))) 2)))) (/ 1 (+ x (* -1 (* x z)))))>
#<alt (/ 1 (* x (* y z)))>
#<alt (/ (- (+ (/ 1 (* x z)) (/ 1 (* x (* y z)))) (/ 1 (* x (* y (pow z 2))))) y)>
#<alt (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z)))) (+ (/ 1 (* x z)) (/ 1 (* x (* y z))))) (/ 1 (* x (* y (pow z 2))))) y)>
#<alt (/ (- (+ (/ 1 (* x z)) (+ (/ 1 (* x (* y z))) (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* (pow y 3) (pow z 2)))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* (pow y 2) z))))) y)>
#<alt (/ 1 (* x (* y z)))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x z)) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x (* y z)))) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ x (* -1 (* x z))) 2) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* (pow x 2) (* y (pow z 2))))) (* -1 (/ (* (+ x (* -1 (* x z))) (- (/ 1 (* x z)) (/ 1 (* x (pow z 2))))) (* x z)))) y)) (/ 1 (* x z))) (/ 1 (* x (pow z 2)))) y)) (/ 1 (* x z))) y))>
#<alt (/ 1 x)>
#<alt (+ (* z (- (/ 1 x) (/ y x))) (/ 1 x))>
#<alt (+ (* z (- (+ (* -1 (* z (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x))>
#<alt (+ (* z (- (+ (* z (- (* z (* (pow (- y 1) 2) (- (/ 1 x) (/ y x)))) (* (- y 1) (- (/ 1 x) (/ y x))))) (/ 1 x)) (/ y x))) (/ 1 x))>
#<alt (/ 1 (* x (* z (- y 1))))>
#<alt (/ (- (/ 1 (* x (- y 1))) (/ 1 (* x (* z (pow (- y 1) 2))))) z)>
#<alt (/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (/ 1 (* x (* z (pow (- y 1) 2))))) z)>
#<alt (/ (- (+ (/ 1 (* x (* (pow z 2) (pow (- y 1) 3)))) (/ 1 (* x (- y 1)))) (+ (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (* (pow z 3) (pow (- y 1) 4)))))) z)>
#<alt (/ 1 (* x (* z (- y 1))))>
#<alt (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 2)))) (/ 1 (* x (- y 1)))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 3)))) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (* z (pow (- y 1) 4)))) (/ 1 (* x (pow (- y 1) 3)))) z)) (/ 1 (* x (pow (- y 1) 2)))) z)) (/ 1 (* x (- y 1)))) z))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* x (+ 1 (* z (- y 1)))))>
#<alt (/ 1 (* 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 (+ 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 (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* z (- (* x y) x))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 (* x (* z (+ 1 (* -1 y)))))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<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 (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* x (* z (- (pow y 2) 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (+ (* -1 (* x z)) (* x (* (pow y 2) z)))>
#<alt (* x (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* x (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) (pow y 2))) (* x z)))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<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>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))>

Calls

102 calls:

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

rewrite589.0ms (5%)

Memory

8.3MiB live, 843.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 852×	`lower-fma.f32`
13 846×	`lower-fma.f64`
6 374×	`lower-*.f32`
6 360×	`lower-*.f64`
2 774×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	97
0	40	86
1	160	86
2	1157	86
0	9119	86

Stop Event

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

Counts

15 → 2 000

Calls

Call 1

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

Outputs
(+.f64 x (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (.f64 y (.f64 z x)) (fma.f64 z (neg.f64 x) x))
(+.f64 (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(+.f64 (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) z) (.f64 x (.f64 x (+.f64 y #s(literal -1 binary64))))) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(+.f64 (.f64 z (neg.f64 x)) (fma.f64 y (.f64 z x) x))
(+.f64 (neg.f64 (neg.f64 x)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z (neg.f64 x)))
(+.f64 (+.f64 x (.f64 z (neg.f64 x))) (.f64 y (*.f64 z x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) z) (.f64 x (.f64 x (+.f64 y #s(literal -1 binary64))))) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) z) (.f64 x (.f64 x (+.f64 y #s(literal -1 binary64))))) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (.f64 (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) z) (.f64 x (.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 x (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) x (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z x)) (fma.f64 z (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 y (*.f64 z x) (fma.f64 z (neg.f64 x) x))
(fma.f64 y (.f64 #s(literal 1 binary64) (.f64 z x)) (fma.f64 z (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (.f64 z x) (fma.f64 y (.f64 z x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 z x) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 z (*.f64 y x) (fma.f64 z (neg.f64 x) x))
(fma.f64 z (neg.f64 x) (fma.f64 y (*.f64 z x) x))
(fma.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))) x)
(fma.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 x #s(literal 1 binary64) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 x (*.f64 y z) (fma.f64 z (neg.f64 x) x))
(fma.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))) x)
(fma.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 x (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(fma.f64 x (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 x (.f64 z #s(literal -1 binary64)) (fma.f64 y (.f64 z x) x))
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(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (.f64 y y))))))
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))

simplify361.0ms (3.1%)

Memory

5.2MiB live, 687.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 004×	`lower-fma.f64`
9 004×	`lower-fma.f32`
5 474×	`lower-*.f64`
5 474×	`lower-*.f32`
3 724×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	3725
1	941	3584
2	3076	3518
0	8289	3331

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 403

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

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

eval422.0ms (3.6%)

Memory: 11.0MiB live, 544.8MiB allocated
Compiler: Compiled 50 896 to 4 090 computations (92% saved)

prune599.0ms (5.1%)

Memory

1.5MiB live, 412.3MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	2 399	4	2 403
Fresh	2	6	8
Picked	2	3	5
Done	0	1	1
Total	2 403	14	2 417

Accuracy

100.0%

Counts

2 417 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
	73.1%	(fma.f64 (*.f64 x y) z x)
	27.5%	(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) 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))))))
	68.3%	(fma.f64 (neg.f64 z) x x)
	59.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
▶	39.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y))))
▶	47.5%	(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
	49.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 z (fma.f64 y y #s(literal -1 binary64)))) x)
▶	43.4%	(.f64 (.f64 z x) y)
✓	39.2%	(.f64 (.f64 y z) x)
✓	59.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.0%	(.f64 z (.f64 y x))
▶	31.4%	(*.f64 z (neg.f64 x))
✓	39.8%	x

Compiler

Compiled 308 to 179 computations (41.9% saved)

simplify754.0ms (6.4%)

Memory

-2.5MiB live, 602.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(.f64 z (.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y))))
✓	cost-diff	0	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 z (+.f64 #s(literal 1 binary64) y))
✓	cost-diff	1088	(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(.f64 (.f64 z x) y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 y #s(literal -1 binary64)) z)
✓	cost-diff	0	(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)

Rules

17 472×	`lower-fma.f32`
17 468×	`lower-fma.f64`
2 846×	`lower-*.f32`
2 830×	`lower-*.f64`
2 302×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	39	98
1	76	98
2	190	98
3	478	98
4	1432	93
5	3696	93
6	6905	93
0	8056	93

Stop Event

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

Calls

Call 1

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

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

localize298.0ms (2.5%)

Memory

19.1MiB live, 177.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y)))
✓	accuracy	91.4%	(.f64 z (.f64 x y))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 z (+.f64 #s(literal 1 binary64) y))
✓	accuracy	94.1%	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	81.7%	(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	91.1%	(.f64 (.f64 z x) y)
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal -1 binary64)) z)
✓	accuracy	97.3%	(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)

Samples

199.0ms

256×

valid

Compiler

Compiled 108 to 25 computations (76.9% saved)

Precisions

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

ival-mult: 14.0ms (55.3% of total)

ival-div: 5.0ms (19.8% of total)

ival-add: 5.0ms (19.8% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-12.9MiB live, 65.4MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/ 1 (/ 1 (* z (* x y))))
2.0ms	z	@	-inf	(* (* z x) y)
1.0ms	x	@	inf	(/ 1 (* z (* x y)))
0.0ms	z	@	0	(/ 1 (* z (* x y)))
0.0ms	z	@	-inf	(/ z (+ 1 y))

rewrite371.0ms (3.2%)

Memory

5.4MiB live, 561.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 552×	`lower-fma.f32`
7 548×	`lower-fma.f64`
5 434×	`lower-*.f32`
5 418×	`lower-*.f64`
3 436×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	39	76
1	142	76
2	893	71
0	9033	71

Stop Event

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

Counts

15 → 1 289

Calls

Call 1

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

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

simplify422.0ms (3.6%)

Memory

-9.4MiB live, 675.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 808×	`lower-fma.f64`
13 808×	`lower-fma.f32`
3 770×	`lower-*.f64`
3 770×	`lower-*.f32`
2 592×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2349
1	372	2245
2	1002	2237
3	3128	2235
0	8114	2158

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 390

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

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

eval208.0ms (1.8%)

Memory: 44.3MiB live, 545.6MiB allocated
Compiler: Compiled 28 767 to 2 946 computations (89.8% saved)

prune254.0ms (2.2%)

Memory

-53.4MiB live, 483.3MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 676	3	1 679
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	1 680	13	1 693

Accuracy

100.0%

Counts

1 693 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(fma.f64 (*.f64 z y) x x)
	73.1%	(fma.f64 (*.f64 x y) z x)
	68.3%	(fma.f64 (neg.f64 z) x x)
	59.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
✓	39.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y))))
	27.6%	(.f64 (/.f64 z y) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
✓	43.4%	(.f64 (.f64 z x) y)
✓	39.2%	(.f64 (.f64 y z) x)
✓	59.7%	(.f64 z (-.f64 (.f64 y x) x))
✓	39.0%	(.f64 z (.f64 y x))
✓	31.4%	(*.f64 z (neg.f64 x))
	43.4%	(*.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) z)))
✓	39.8%	x

Compiler

Compiled 401 to 162 computations (59.6% saved)

regimes64.0ms (0.5%)

Memory

30.2MiB live, 146.6MiB allocated

Counts

30 → 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)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 z y) x x)
(.f64 z (-.f64 (.f64 y x) x))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) 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 y (/.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 z y) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 x y))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 z (fma.f64 y y #s(literal -1 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)))
(fma.f64 (.f64 z (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(.f64 x (fma.f64 (.f64 (neg.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)))
(.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 z (.f64 (+.f64 y #s(literal -1 binary64)) 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))))))

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

Calls

7 calls:

10.0ms	y
10.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
9.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
9.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
99.9%	2	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.9%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.9%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes38.0ms (0.3%)

Memory

-15.1MiB live, 65.6MiB allocated

Counts

14 → 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)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 z y) x x)
(.f64 z (-.f64 (.f64 y x) x))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)

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

Calls

7 calls:

9.0ms	y
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
5.0ms	x
5.0ms	z
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
96.6%	2	`(-.f64 #s(literal 1 binary64) y)`
96.6%	2	`y`
99.9%	3	`z`
94.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
94.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
94.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
94.4%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes5.0ms (0%)

Memory

8.8MiB live, 8.8MiB 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)
(fma.f64 (*.f64 x y) z 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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.4%)

Memory

-17.8MiB live, 59.5MiB 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)
(fma.f64 (*.f64 x y) z 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

7 calls:

19.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
82.5%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
82.4%	4	`x`
83.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
82.5%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
96.4%	3	`y`
96.4%	3	`(-.f64 #s(literal 1 binary64) y)`
85.4%	3	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes8.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB 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)
(fma.f64 (*.f64 x y) z x)

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

Calls

2 calls:

4.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
93.5%	3	`y`
93.5%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

10 → 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)

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

Calls

2 calls:

4.0ms	y
3.0ms	(-.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)

regimes9.0ms (0.1%)

Memory

-22.6MiB live, 14.7MiB 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 x (.f64 z y))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.8%	3	`y`
88.8%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0%)

Memory

9.6MiB live, 9.6MiB 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:

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

Results

Accuracy	Segments	Branch
88.7%	3	`y`
88.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes169.0ms (1.4%)

Memory

-19.3MiB live, 26.9MiB 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:

153.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
68.3%	1	`x`
68.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
68.3%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
68.3%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
68.3%	1	`z`
68.3%	1	`(-.f64 #s(literal 1 binary64) y)`
68.3%	1	`y`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes17.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB 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 z 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 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
68.2%	1	`x`
68.2%	1	`y`
68.2%	1	`z`
68.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
68.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
68.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
68.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes21.0ms (0.2%)

Memory

-7.1MiB live, 29.4MiB allocated

Counts

4 → 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))

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

Calls

7 calls:

8.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
68.2%	1	`x`
68.2%	1	`y`
68.2%	1	`z`
68.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
68.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
68.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
68.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes15.0ms (0.1%)

Memory

-3.2MiB live, 35.1MiB 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:

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

Results

Accuracy	Segments	Branch
42.3%	2	`x`
44.7%	2	`y`
67.6%	3	`z`
67.4%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
67.4%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
62.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
43.0%	2	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes12.0ms (0.1%)

Memory

-8.4MiB live, 29.9MiB 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:

3.0ms	x
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms	z
1.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
39.8%	1	`x`
39.8%	1	`(-.f64 #s(literal 1 binary64) y)`
39.8%	1	`y`
39.8%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
39.8%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
39.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
39.8%	1	`z`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.186667459480275e-47	3.541771893880544e-43

Samples

1.0ms

16×

valid

Compiler

Compiled 39 to 30 computations (23.1% 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)

bsearch11.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.3596575277944992e-160	1.4588980193876962e-158
4.0ms	-1.8423111635843712e-16	-2.5353712293298443e-20

Samples

6.0ms

128×

valid

Compiler

Compiled 191 to 126 computations (34% saved)

Precisions

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

ival-sub: 1.0ms (35.4% of total)

ival-mult: 1.0ms (35.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-16.1MiB live, 25.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.4489256790548465e-11	2.561253129211872e-7
10.0ms	-134.0513111606392	-64.85636444398729

Samples

13.0ms

208×

valid

Compiler

Compiled 288 to 183 computations (36.5% saved)

Precisions

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

ival-sub: 2.0ms (43% of total)

ival-mult: 2.0ms (43% 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	1.0	1.0000000031551912
0.0ms	-986002767.7319077	0.9430263137268017

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	1.0	1.0000000031551912
0.0ms	-986002767.7319077	0.9430263137268017

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	6.7268575831598945e+90	8.825888773714586e+93
0.0ms	-3.823144615618728e+45	-2.973803989930289e+29

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	6.7268575831598945e+90	8.825888773714586e+93
0.0ms	-3.823144615618728e+45	-2.973803989930289e+29

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch28.0ms (0.2%)

Memory

12.7MiB live, 50.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.973803989930289e+29	3.823144615618728e+45
10.0ms	-8.825888773714586e+93	-6.7268575831598945e+90

Samples

13.0ms

288×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

-15.8MiB live, 22.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.561253129211872e-7	1.2529586693656464e-5
0.0ms	-134.0513111606392	-64.85636444398729

Samples

5.0ms

112×

valid

Compiler

Compiled 171 to 134 computations (21.6% saved)

Precisions

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

ival-sub: 1.0ms (39.3% of total)

ival-mult: 1.0ms (39.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	246
1	96	246
2	109	246
3	115	246
4	117	246

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -2076918743413931/10384593717069655257060992658440192 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (if (<=.f64 z #s(literal 5935929635354509/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (fma.f64 (.f64 z y) x x) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 4722366482869645/18889465931478580854784 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 -500000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 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 -500000000 binary64)) (fma.f64 (.f64 x y) z x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (.f64 x y) z x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 y #s(literal -13600000000000000720197339246801650448265347354120270975296856283816823199689445117704273920 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 16999999999999998930663738703872 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 7378697629483821/590295810358705651712 binary64)) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 x #s(literal 4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 x #s(literal 4113761393303015/102844034832575377634685573909834406561420991602098741459288064 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (.f64 (+.f64 y #s(literal -1 binary64)) z) x x))
(if (<=.f64 z #s(literal -2076918743413931/10384593717069655257060992658440192 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (if (<=.f64 z #s(literal 5935929635354509/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (fma.f64 (.f64 z y) x x) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)))
(if (<=.f64 z #s(literal -2076918743413931/10384593717069655257060992658440192 binary64)) (fma.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) z x) (if (<=.f64 z #s(literal 5935929635354509/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (fma.f64 (.f64 y z) x x) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z #s(literal 4722366482869645/18889465931478580854784 binary64)) (fma.f64 (.f64 z y) x x) (.f64 z (-.f64 (*.f64 y x) x))))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (-.f64 (.f64 x y) x)) (if (<=.f64 z #s(literal 4722366482869645/18889465931478580854784 binary64)) (fma.f64 (.f64 y z) x x) (.f64 z (-.f64 (*.f64 x y) x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -500000000 binary64)) (fma.f64 (.f64 z y) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 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 -500000000 binary64)) (fma.f64 (.f64 y z) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 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 -500000000 binary64)) (fma.f64 (.f64 x y) z x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (.f64 x y) z x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 (.f64 z x) y) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 y (.f64 x z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 y z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999859514578049071102439861518336 binary64)) (.f64 z (.f64 x y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 10000000000000000795623248612804971431562261401669105159386439973487930752201761134141767680 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 y z))))
(if (<=.f64 y #s(literal -13600000000000000720197339246801650448265347354120270975296856283816823199689445117704273920 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 16999999999999998930663738703872 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 z y))))
(if (<=.f64 y #s(literal -13600000000000000720197339246801650448265347354120270975296856283816823199689445117704273920 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 y #s(literal 16999999999999998930663738703872 binary64)) (fma.f64 (neg.f64 z) x x) (.f64 x (.f64 y z))))
(fma.f64 (neg.f64 z) x x)
(-.f64 x (*.f64 z x))
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -65 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 z #s(literal 7378697629483821/590295810358705651712 binary64)) x (.f64 z (neg.f64 x))))
x

soundness2.0s (17.1%)

Memory

-25.3MiB live, 1 096.4MiB allocated

Rules

13 808×	`lower-fma.f64`
13 808×	`lower-fma.f32`
9 404×	`lower-fma.f32`
9 400×	`lower-fma.f64`
7 140×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	25	41
1	97	41
2	731	41
3	6904	41
0	8097	41
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	67	1396
1	217	1193
2	615	1193
3	1509	1193
4	4971	1193
5	6474	1193
6	7824	1193
0	8003	1133
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22
0	120	2349
1	372	2245
2	1002	2237
3	3128	2235
0	8114	2158

Stop Event

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

Compiler

Compiled 523 to 241 computations (53.9% saved)

preprocess115.0ms (1%)

Memory: 11.4MiB live, 167.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 770 to 256 computations (66.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample974.0ms (8.3%)

preprocess228.0ms (1.9%)

explain104.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify168.0ms (1.4%)

localize28.0ms (0.2%)

series7.0ms (0.1%)

rewrite352.0ms (3%)

simplify412.0ms (3.5%)

eval170.0ms (1.4%)

prune110.0ms (0.9%)

simplify67.0ms (0.6%)

localize51.0ms (0.4%)

series30.0ms (0.3%)

rewrite947.0ms (8.1%)

simplify367.0ms (3.1%)

eval182.0ms (1.6%)

prune99.0ms (0.8%)

simplify434.0ms (3.7%)

localize72.0ms (0.6%)

series25.0ms (0.2%)

rewrite589.0ms (5%)

simplify361.0ms (3.1%)

eval422.0ms (3.6%)

prune599.0ms (5.1%)

simplify754.0ms (6.4%)

localize298.0ms (2.5%)

series20.0ms (0.2%)

rewrite371.0ms (3.2%)

simplify422.0ms (3.6%)

eval208.0ms (1.8%)

prune254.0ms (2.2%)

regimes64.0ms (0.5%)

regimes38.0ms (0.3%)

regimes5.0ms (0%)

regimes45.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

regimes169.0ms (1.4%)

regimes17.0ms (0.1%)

regimes21.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify11.0ms (0.1%)

soundness2.0s (17.1%)

preprocess115.0ms (1%)

end0.0ms (0%)

Profiling