Metrics for Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

analyze40.0ms (0.4%)

Memory

5.3MiB live, 84.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample932.0ms (9.5%)

Memory

-6.4MiB live, 1 024.4MiB allocated

Samples

488.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-div: 130.0ms (44.5% of total)

ival-mult: 53.0ms (18.2% of total)

ival-sub: 50.0ms (17.1% of total)

ival-add: 44.0ms (15.1% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess553.0ms (5.6%)

Memory

-6.3MiB live, 618.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 244×	`lower-fma.f64`
14 244×	`lower-fma.f32`
3 296×	`lower-/.f32`
3 294×	`lower-/.f64`
2 676×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	92
1	135	86
2	419	83
3	1826	81
4	5081	81
5	7500	81
0	8	9
0	12	9
1	28	9
2	57	9
3	147	9
4	333	9
5	750	9
6	1629	9
7	2866	9
8	4292	9
9	5087	9
10	5604	9
11	5681	9
12	5711	9
13	5715	9
14	5807	9
15	5993	9
16	6027	9
17	6043	9
18	6147	9
19	6453	9
20	6465	9
21	6465	9
0	8603	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain233.0ms (2.4%)

Memory

-13.9MiB live, 102.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`	o/n	38	0
↳	`(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))`	overflow	58

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (30.2% of total)

ival-sub: 3.0ms (22.6% of total)

ival-mult: 3.0ms (22.6% of total)

ival-add: 2.0ms (15.1% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify465.0ms (4.7%)

Memory

16.3MiB live, 576.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

14 244×	`lower-fma.f64`
14 244×	`lower-fma.f32`
3 296×	`lower-/.f32`
3 294×	`lower-/.f64`
2 676×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	57	28
3	147	28
4	333	28
5	750	28
6	1629	28
7	2866	28
8	4292	28
9	5087	28
10	5604	28
11	5681	28
12	5711	28
13	5715	28
14	5807	28
15	5993	28
16	6027	28
17	6043	28
18	6147	28
19	6453	28
20	6465	28
21	6465	28
0	8603	26

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (0.7%)

Memory

-13.2MiB live, 24.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	accuracy	85.9%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite267.0ms (2.7%)

Memory

17.7MiB live, 408.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 876×	`lower-*.f32`
3 874×	`lower-*.f64`
3 848×	`lower-fma.f64`
3 848×	`lower-fma.f32`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	59	24
2	452	24
3	7437	24
0	8532	22

Stop Event

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

Counts

4 → 378

Calls

Call 1

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

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

simplify234.0ms (2.4%)

Memory

-18.3MiB live, 264.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 442×	`lower-fma.f64`
7 442×	`lower-fma.f32`
2 644×	`lower-*.f64`
2 644×	`lower-*.f32`
1 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	697
1	263	697
2	801	697
3	2493	696
4	5556	695
0	8369	633

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 115

Calls

Call 1

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

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

eval54.0ms (0.5%)

Memory: 35.0MiB live, 110.2MiB allocated
Compiler: Compiled 10 527 to 1 388 computations (86.8% saved)

prune62.0ms (0.6%)

Memory

-26.7MiB live, 130.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	483	10	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	484	10	494

Accuracy

100.0%

Counts

494 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
▶	53.0%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
	61.2%	(/.f64 (fma.f64 x y x) z)
▶	38.3%	(/.f64 (*.f64 x y) z)
▶	95.5%	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
	92.9%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	62.8%	(-.f64 (/.f64 x z) x)
	95.4%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
	88.3%	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
▶	37.1%	(neg.f64 x)

Compiler

Compiled 196 to 122 computations (37.8% saved)

simplify205.0ms (2.1%)

Memory

36.4MiB live, 315.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(fma.f64 (-.f64 y z) x x)
✓	cost-diff	0	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(fma.f64 x (neg.f64 z) x)
✓	cost-diff	320	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	cost-diff	512	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))

Rules

6 630×	`lower-fma.f32`
6 626×	`lower-fma.f64`
2 420×	`lower-*.f32`
2 418×	`lower-*.f64`
2 030×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	78
0	30	79
1	53	77
2	92	77
3	174	77
4	362	75
5	880	75
6	2032	75
7	6046	75
0	8077	75

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (0.8%)

Memory

-11.2MiB live, 65.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(fma.f64 (-.f64 y z) x x)
✓	accuracy	85.9%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	accuracy	100.0%	(fma.f64 x (neg.f64 z) x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	87.0%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	88.4%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	accuracy	95.5%	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))

Samples

60.0ms

256×

valid

Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (39.6% of total)

ival-mult: 5.0ms (24.8% of total)

ival-add: 3.0ms (14.9% of total)

ival-sub: 2.0ms (9.9% of total)

ival-neg: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-13.7MiB live, 26.5MiB allocated

Counts

12 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(/ (+ (* (- y z) x) x) z)
1.0ms	y	@	inf	(/ z (+ (- y z) 1))
1.0ms	x	@	-inf	(/ (+ (* (- y z) x) x) z)
1.0ms	z	@	-inf	(/ (+ (* (- y z) x) x) z)
1.0ms	x	@	inf	(/ (+ (* x (neg z)) x) z)

rewrite387.0ms (3.9%)

Memory

21.5MiB live, 497.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 534×	`lower-fma.f32`
8 530×	`lower-fma.f64`
5 294×	`lower-*.f32`
5 292×	`lower-*.f64`
3 552×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	30	63
1	128	61
2	943	61
0	8707	61

Stop Event

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

Counts

12 → 941

Calls

Call 1

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

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

simplify392.0ms (4%)

Memory

19.3MiB live, 520.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 728×	`lower-fma.f64`
11 728×	`lower-fma.f32`
4 056×	`lower-*.f64`
4 056×	`lower-*.f32`
2 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	2258
1	751	2168
2	2293	2046
3	7089	2043
0	8079	1945

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

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

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

eval165.0ms (1.7%)

Memory: 5.5MiB live, 316.3MiB allocated
Compiler: Compiled 22 408 to 2 245 computations (90% saved)

prune418.0ms (4.3%)

Memory

-148.1MiB live, 243.8MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 322	4	1 326
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	1 324	12	1 336

Accuracy

100.0%

Counts

1 336 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.9%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	53.0%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
▶	61.2%	(/.f64 (fma.f64 x y x) z)
✓	38.3%	(/.f64 (*.f64 x y) z)
▶	40.8%	(/.f64 y (/.f64 z x))
▶	28.6%	(/.f64 x z)
	92.9%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	62.8%	(-.f64 (/.f64 x z) x)
▶	95.4%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
	37.2%	(*.f64 (/.f64 y z) x)
▶	41.8%	(*.f64 y (/.f64 x z))
✓	37.1%	(neg.f64 x)

Compiler

Compiled 174 to 107 computations (38.5% saved)

simplify294.0ms (3%)

Memory

-15.1MiB live, 262.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	384	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(fma.f64 x y x)
✓	cost-diff	0	(/.f64 (fma.f64 x y x) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 y (/.f64 x z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z)
✓	cost-diff	128	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)

Rules

7 136×	`lower-fma.f32`
7 134×	`lower-fma.f64`
2 912×	`lower-*.f32`
2 908×	`lower-*.f64`
1 382×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	25	68
1	42	68
2	63	68
3	112	68
4	230	68
5	549	67
6	1153	67
7	2648	67
8	4139	67
9	5556	67
10	6013	67
11	6157	67
12	6228	67
13	6286	67
14	6374	67
15	7865	67
0	8105	67

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.8%)

Memory

-10.9MiB live, 68.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	94.7%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(fma.f64 x y x)
✓	accuracy	92.9%	(/.f64 (fma.f64 x y x) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	94.2%	(*.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z)
✓	accuracy	95.4%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)

Samples

31.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-div: 8.0ms (46.9% of total)

ival-mult: 4.0ms (23.4% of total)

ival-sub: 2.0ms (11.7% of total)

ival-add: 2.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

10 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite283.0ms (2.9%)

Memory

17.0MiB live, 528.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 214×	`lower-*.f32`
5 210×	`lower-*.f64`
5 152×	`lower-fma.f32`
5 150×	`lower-fma.f64`
4 082×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	25	50
1	103	50
2	719	50
0	8738	49

Stop Event

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

Counts

10 → 777

Calls

Call 1

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

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

simplify715.0ms (7.3%)

Memory

17.5MiB live, 451.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 208×	`lower-fma.f64`
12 208×	`lower-fma.f32`
3 296×	`lower-*.f64`
3 296×	`lower-*.f32`
1 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1623
1	315	1563
2	954	1502
3	2874	1465
4	5330	1465
0	8135	1380

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

Calls

Call 1

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

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

eval256.0ms (2.6%)

Memory: -31.2MiB live, 192.7MiB allocated
Compiler: Compiled 16 404 to 2 083 computations (87.3% saved)

prune457.0ms (4.7%)

Memory

-15.5MiB live, 223.0MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 114	1	1 115
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	1 114	13	1 127

Accuracy

100.0%

Counts

1 127 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.9%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	53.0%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	61.2%	(/.f64 (fma.f64 x y x) z)
✓	38.3%	(/.f64 (*.f64 x y) z)
✓	40.8%	(/.f64 y (/.f64 z x))
✓	28.6%	(/.f64 x z)
▶	92.9%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	62.8%	(-.f64 (/.f64 x z) x)
✓	95.4%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
▶	60.1%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) x)
▶	37.2%	(*.f64 (/.f64 y z) x)
✓	41.8%	(*.f64 y (/.f64 x z))
✓	37.1%	(neg.f64 x)

Compiler

Compiled 114 to 71 computations (37.7% saved)

simplify77.0ms (0.8%)

Memory

20.9MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 248×	`lower-fma.f32`
1 246×	`lower-fma.f64`
512×	`lower-*.f32`
508×	`lower-*.f64`
438×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	25	62
1	39	60
2	48	60
3	70	60
4	101	60
5	265	60
6	547	60
7	1176	60
8	2115	60
9	2355	60
10	2403	60
11	2428	60
12	2437	60
0	2437	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

-1.1MiB live, 119.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y x)
✓	accuracy	100.0%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	accuracy	92.9%	(/.f64 (fma.f64 x y x) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) y) z)
✓	accuracy	95.3%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) x)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.3%	(*.f64 (/.f64 y z) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 66 to 17 computations (74.2% saved)

Precisions

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

ival-div: 8.0ms (38.3% of total)

ival-mult: 8.0ms (38.3% of total)

ival-sub: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-18.2MiB live, 20.5MiB allocated

Counts

10 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite360.0ms (3.7%)

Memory

7.9MiB live, 646.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 274×	`lower-fma.f32`
7 272×	`lower-fma.f64`
5 310×	`lower-*.f32`
5 306×	`lower-*.f64`
4 504×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	25	50
1	105	48
2	784	48
0	8571	48

Stop Event

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

Counts

10 → 852

Calls

Call 1

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

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

simplify290.0ms (2.9%)

Memory

-8.5MiB live, 268.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 624×	`lower-fma.f64`
6 624×	`lower-fma.f32`
2 634×	`lower-*.f64`
2 634×	`lower-*.f32`
1 434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	1756
1	231	1756
2	609	1518
3	1778	1476
4	4446	1476
5	6622	1476
6	7641	1476
7	7857	1476
0	8006	1358

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 273

Calls

Call 1

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

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

eval152.0ms (1.5%)

Memory: 29.6MiB live, 295.0MiB allocated
Compiler: Compiled 20 654 to 2 001 computations (90.3% saved)

prune131.0ms (1.3%)

Memory

-19.2MiB live, 312.3MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	1 124	1	1 125
Fresh	0	0	0
Picked	1	3	4
Done	0	9	9
Total	1 125	13	1 138

Accuracy

100.0%

Counts

1 138 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.9%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	53.0%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	61.2%	(/.f64 (fma.f64 x y x) z)
✓	38.3%	(/.f64 (*.f64 x y) z)
✓	40.8%	(/.f64 y (/.f64 z x))
✓	28.6%	(/.f64 x z)
	69.6%	(-.f64 (/.f64 (*.f64 x y) z) x)
✓	62.8%	(-.f64 (/.f64 x z) x)
✓	95.4%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
✓	60.1%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) x)
✓	37.2%	(*.f64 (/.f64 y z) x)
✓	41.8%	(*.f64 y (/.f64 x z))
✓	37.1%	(neg.f64 x)

Compiler

Compiled 225 to 106 computations (52.9% saved)

regimes27.0ms (0.3%)

Memory

9.1MiB live, 48.9MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y
6.0ms	z
6.0ms	x
5.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
99.9%	2	`x`
97.3%	2	`y`
99.9%	3	`z`
98.5%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

-0.9MiB live, 36.7MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.9%	1	`y`
94.6%	2	`z`
94.8%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
92.9%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.2%)

Memory

-4.3MiB live, 33.0MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
92.2%	3	`y`
77.3%	4	`x`
94.0%	4	`z`
86.1%	4	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
86.9%	3	`y`
86.9%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-24.0MiB live, 13.6MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 x z)
(-.f64 (/.f64 x z) x)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)

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

Calls

2 calls:

5.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
86.9%	3	`y`
67.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 x z)
(-.f64 (/.f64 x z) x)

Outputs
(-.f64 (/.f64 x z) x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`z`
62.8%	1	`x`
62.8%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
62.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory

-17.0MiB live, 22.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 x z)

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

Calls

4 calls:

9.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
41.5%	3	`y`
50.0%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
39.1%	2	`x`
62.2%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.1%	1	`x`
37.1%	1	`y`
37.1%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
37.1%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch9.0ms (0.1%)

Memory

-23.1MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	5.129899438468234e+20	6.734199483862882e+23

Samples

4.0ms

80×

valid

Compiler

Compiled 140 to 94 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (49.5% of total)

ival-mult: 1.0ms (49.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.734199483862882e+23	1.85467682545376e+24

Samples

4.0ms

80×

valid

Compiler

Compiled 140 to 94 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (49.9% of total)

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

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

ival-add: 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)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.222271693894335e+303	+inf

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch36.0ms (0.4%)

Memory

-2.2MiB live, 75.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	4.592303146177816e+233	3.022385421032947e+235
10.0ms	0.9176512897136913	43958.164058270086
13.0ms	-210227151708.2464	-472832.6396561278

Samples

20.0ms

384×

valid

Compiler

Compiled 491 to 319 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (31.3% of total)

ival-mult: 3.0ms (31.3% of total)

ival-sub: 2.0ms (20.9% of total)

ival-add: 2.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

13.3MiB live, 55.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.501999298804236e+89	6.985720536197636e+93
18.0ms	-4.439404226689318e+83	-7.623336231007415e+56

Samples

18.0ms

304×

valid

Compiler

Compiled 319 to 223 computations (30.1% saved)

Precisions

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

ival-sub: 2.0ms (26.5% of total)

ival-div: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Memory

7.1MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.5824308265012544e+120	6.558572206663233e+124
12.0ms	-2917247396893579.5	-9520831492377.863

Samples

14.0ms

256×

valid

Compiler

Compiled 303 to 206 computations (32% saved)

Precisions

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

ival-div: 2.0ms (31.4% of total)

ival-mult: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

-11.6MiB live, 27.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.9176512897136913	43958.164058270086
25.0ms	-5.372652873558348e-6	-2.721063098368949e-28

Samples

8.0ms

176×

valid

Compiler

Compiled 262 to 204 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (22.5% of total)

ival-div: 1.0ms (22.5% of total)

ival-add: 1.0ms (22.5% of total)

ival-mult: 1.0ms (22.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.2%)

Memory

-21.4MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	166
1	76	166
2	84	166
3	87	166
4	88	166

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 199999999999999983222784 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x))
(if (<=.f64 x #s(literal 1250000000000000113246208 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) x))
(if (<=.f64 z #s(literal -480000 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 x y x) z) (if (<=.f64 z #s(literal 1100000000000000037302516938613982712045412086742252131934112689687996632326623733935246744339434790698774977535151353054190557728055927590123887299904312319237760580054668788248501889093540751141160472492929829465055866271480527454208 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (neg.f64 x))))
(if (<=.f64 z #s(literal -37999999999999998701132006847670164907618622052663704944640 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) (/.f64 (fma.f64 x y x) z) (neg.f64 x)))
(if (<=.f64 y #s(literal -10000000000000 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(-.f64 (/.f64 x z) x)
(if (<=.f64 z #s(literal -782141948725285/147573952589676412928 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 x #s(literal 199999999999999983222784 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x))
(if (<=.f64 x #s(literal 199999999999999983222784 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 x (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z)))
(if (<=.f64 x #s(literal 1250000000000000113246208 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1250000000000000113246208 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) x))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(if (<=.f64 z #s(literal -480000 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (fma.f64 x y x) z) (if (<=.f64 z #s(literal 1100000000000000037302516938613982712045412086742252131934112689687996632326623733935246744339434790698774977535151353054190557728055927590123887299904312319237760580054668788248501889093540751141160472492929829465055866271480527454208 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (neg.f64 x))))
(if (<=.f64 z #s(literal -37999999999999998701132006847670164907618622052663704944640 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) (/.f64 (fma.f64 x y x) z) (neg.f64 x)))
(if (<=.f64 y #s(literal -10000000000000 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(-.f64 (/.f64 x z) x)
(if (<=.f64 z #s(literal -782141948725285/147573952589676412928 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

soundness1.5s (15.5%)

Memory

2.8MiB live, 927.2MiB allocated

Rules

12 208×	`lower-fma.f64`
12 208×	`lower-fma.f32`
11 728×	`lower-fma.f64`
11 728×	`lower-fma.f32`
8 534×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	59	24
2	452	24
3	7437	24
0	8532	22
0	237	2258
1	751	2168
2	2293	2046
3	7089	2043
0	8079	1945
0	75	1756
1	231	1756
2	609	1518
3	1778	1476
4	4446	1476
5	6622	1476
6	7641	1476
7	7857	1476
0	8006	1358
0	82	697
1	263	697
2	801	697
3	2493	696
4	5556	695
0	8369	633
0	16	62
0	30	63
1	128	61
2	943	61
0	8707	61
0	105	1623
1	315	1563
2	954	1502
3	2874	1465
4	5330	1465
0	8135	1380

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
1×	node limit
1×	iter limit

Compiler

Compiled 323 to 162 computations (49.8% saved)

preprocess280.0ms (2.9%)

Memory: 25.9MiB live, 262.7MiB allocated
Compiler: Compiled 490 to 196 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.4%)

sample932.0ms (9.5%)

preprocess553.0ms (5.6%)

explain233.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify465.0ms (4.7%)

localize66.0ms (0.7%)

series8.0ms (0.1%)

rewrite267.0ms (2.7%)

simplify234.0ms (2.4%)

eval54.0ms (0.5%)

prune62.0ms (0.6%)

simplify205.0ms (2.1%)

localize79.0ms (0.8%)

series28.0ms (0.3%)

rewrite387.0ms (3.9%)

simplify392.0ms (4%)

eval165.0ms (1.7%)

prune418.0ms (4.3%)

simplify294.0ms (3%)

localize80.0ms (0.8%)

series10.0ms (0.1%)

rewrite283.0ms (2.9%)

simplify715.0ms (7.3%)

eval256.0ms (2.6%)

prune457.0ms (4.7%)

simplify77.0ms (0.8%)

localize50.0ms (0.5%)

series12.0ms (0.1%)

rewrite360.0ms (3.7%)

simplify290.0ms (2.9%)

eval152.0ms (1.5%)

prune131.0ms (1.3%)

regimes27.0ms (0.3%)

regimes5.0ms (0.1%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch36.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch27.0ms (0.3%)

simplify24.0ms (0.2%)

soundness1.5s (15.5%)

preprocess280.0ms (2.9%)

end0.0ms (0%)

Profiling