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

analyze42.0ms (0.4%)

Memory

4.7MiB live, 82.9MiB 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)

sample821.0ms (7.8%)

Memory

8.6MiB live, 1 164.9MiB allocated

Samples

516.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-div: 124.0ms (39% of total)

ival-add: 70.0ms (22% of total)

ival-mult: 61.0ms (19.2% of total)

ival-sub: 49.0ms (15.4% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess591.0ms (5.6%)

Memory

-31.1MiB live, 703.4MiB 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)

explain116.0ms (1.1%)

Memory

4.2MiB live, 180.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(/.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	27	0
↳	`(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))`	overflow	49

Confusion

	Predicted +	Predicted -
+	27	0
-	0	229

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	27	0	0
-	0	0	229

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

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 (30.6% of total)

ival-sub: 3.0ms (23% of total)

ival-mult: 3.0ms (23% of total)

ival-add: 2.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify744.0ms (7.1%)

Memory

-27.0MiB live, 446.2MiB 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)

localize22.0ms (0.2%)

Memory

12.6MiB live, 51.6MiB 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	90.0%	(/.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 (30.9% of total)

ival-mult: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-2.2MiB live, 36.6MiB 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
2.0ms	z	@	-inf	(/ (* x (+ (- y z) 1)) z)
1.0ms	x	@	-inf	(/ (* x (+ (- y z) 1)) z)
1.0ms	x	@	inf	(/ (* x (+ (- y z) 1)) z)
1.0ms	y	@	-inf	(* x (+ (- y z) 1))
1.0ms	x	@	-inf	(* x (+ (- y z) 1))

rewrite301.0ms (2.9%)

Memory

30.4MiB live, 465.9MiB 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)))

simplify388.0ms (3.7%)

Memory

-27.5MiB live, 380.9MiB 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)

eval57.0ms (0.5%)

Memory: 12.5MiB live, 128.3MiB allocated
Compiler: Compiled 10 527 to 1 388 computations (86.8% saved)

prune76.0ms (0.7%)

Memory

-1.8MiB live, 121.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	482	11	493
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	483	11	494

Accuracy

100.0%

Counts

494 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
▶	55.7%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
	62.2%	(/.f64 (fma.f64 x y x) z)
▶	41.0%	(/.f64 (*.f64 x y) z)
▶	96.9%	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
	89.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (-.f64 y z) x)))
	96.7%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	63.0%	(-.f64 (/.f64 x z) x)
	96.9%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
	85.5%	(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
▶	37.3%	(neg.f64 x)

Compiler

Compiled 222 to 138 computations (37.8% saved)

simplify207.0ms (2%)

Memory

25.1MiB live, 252.7MiB 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

localize61.0ms (0.6%)

Memory

-31.4MiB live, 96.7MiB 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	90.0%	(/.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	90.4%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.8%	(/.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	99.9%	(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
✓	accuracy	96.9%	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))

Samples

35.0ms

256×

valid

Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions

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

ival-div: 10.0ms (45.3% of total)

ival-mult: 5.0ms (22.6% of total)

ival-add: 3.0ms (13.6% of total)

ival-sub: 2.0ms (9.1% of total)

ival-neg: 2.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

20.6MiB live, 58.3MiB 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
3.0ms	y	@	inf	(/ (+ (* (- y z) x) x) z)
2.0ms	y	@	-inf	(* x y)
1.0ms	y	@	inf	(/ z (+ (- y z) 1))
1.0ms	x	@	-inf	(/ (+ (* (- y z) x) x) z)
1.0ms	x	@	inf	(/ (+ (* x (neg z)) x) z)

rewrite494.0ms (4.7%)

Memory

-14.0MiB live, 501.1MiB 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))))

simplify563.0ms (5.3%)

Memory

36.0MiB live, 383.2MiB 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)

eval503.0ms (4.8%)

Memory: 11.6MiB live, 199.2MiB allocated
Compiler: Compiled 22 408 to 2 245 computations (90% saved)

prune144.0ms (1.4%)

Memory

-0.3MiB live, 317.1MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 319	7	1 326
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	1 322	15	1 337

Accuracy

100.0%

Counts

1 337 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	55.7%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
▶	62.2%	(/.f64 (fma.f64 x y x) z)
✓	41.0%	(/.f64 (*.f64 x y) z)
	39.7%	(/.f64 y (/.f64 z x))
▶	39.8%	(/.f64 x (/.f64 z y))
	37.0%	(/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
▶	28.6%	(/.f64 x z)
	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
	96.7%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
	63.0%	(-.f64 (/.f64 x z) x)
▶	96.9%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
	39.8%	(*.f64 (/.f64 y z) x)
▶	39.7%	(*.f64 y (/.f64 x z))
✓	37.3%	(neg.f64 x)

Compiler

Compiled 234 to 149 computations (36.3% saved)

simplify524.0ms (5%)

Memory

-10.5MiB live, 592.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	384	(/.f64 x (/.f64 z y))
✓	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

19 112×	`lower-fma.f32`
19 110×	`lower-fma.f64`
2 484×	`div-sub`
2 472×	`lower-*.f32`
2 468×	`lower-*.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	25	68
1	40	68
2	62	68
3	112	68
4	230	68
5	548	67
6	1165	67
7	2689	67
8	4141	67
9	5234	67
10	5659	67
11	5790	67
12	5832	67
13	5860	67
14	5890	67
15	6090	67
16	6770	67
17	7470	67
18	7472	67
19	7474	67
20	7478	67
21	7478	67
0	8500	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 x (/.f64 z y))
x
(/.f64 z y)
z
y

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

localize49.0ms (0.5%)

Memory

4.6MiB live, 78.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	92.9%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(fma.f64 x y x)
✓	accuracy	96.6%	(/.f64 (fma.f64 x y x) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.5%	(*.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	99.9%	(/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z)
✓	accuracy	96.9%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)

Samples

34.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

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

ival-div: 8.0ms (41.9% of total)

ival-mult: 7.0ms (36.7% of total)

ival-add: 2.0ms (10.5% of total)

ival-sub: 1.0ms (5.2% 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

0.6MiB live, 41.6MiB 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 x (/.f64 z y))>
#<alt (/.f64 z y)>

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 y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>

Calls

72 calls:

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

rewrite421.0ms (4%)

Memory

-129.0MiB live, 431.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 218×	`lower-fma.f32`
5 216×	`lower-fma.f64`
5 012×	`lower-*.f32`
5 008×	`lower-*.f64`
3 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	25	50
1	105	50
2	729	50
0	8427	49

Stop Event

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

Counts

10 → 715

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 x (/.f64 z y))
(/.f64 z y)

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

simplify289.0ms (2.7%)

Memory

37.0MiB live, 459.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 208×	`lower-fma.f64`
12 208×	`lower-fma.f32`
3 280×	`lower-*.f64`
3 280×	`lower-*.f32`
1 626×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1623
1	314	1563
2	952	1502
3	2863	1465
4	5308	1465
0	8181	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 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)

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

eval121.0ms (1.1%)

Memory: -3.1MiB live, 244.3MiB allocated
Compiler: Compiled 15 255 to 1 976 computations (87% saved)

prune137.0ms (1.3%)

Memory

-11.0MiB live, 215.7MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	1 039	1	1 040
Fresh	1	5	6
Picked	0	5	5
Done	0	4	4
Total	1 040	15	1 055

Accuracy

100.0%

Counts

1 055 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	55.7%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	62.2%	(/.f64 (fma.f64 x y x) z)
✓	41.0%	(/.f64 (*.f64 x y) z)
▶	39.7%	(/.f64 y (/.f64 z x))
✓	39.8%	(/.f64 x (/.f64 z y))
	37.0%	(/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
✓	28.6%	(/.f64 x z)
▶	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
▶	96.7%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
▶	63.0%	(-.f64 (/.f64 x z) x)
✓	96.9%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
▶	39.8%	(*.f64 (/.f64 y z) x)
✓	39.7%	(*.f64 y (/.f64 x z))
✓	37.3%	(neg.f64 x)

Compiler

Compiled 191 to 122 computations (36.1% saved)

simplify233.0ms (2.2%)

Memory

15.3MiB live, 98.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 z (*.f64 y x))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	384	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 (/.f64 x z) x)
✓	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)

Rules

1 440×	`lower-fma.f32`
1 438×	`lower-fma.f64`
704×	`lower-*.f32`
700×	`lower-*.f64`
640×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	29	70
1	43	70
2	61	70
3	93	70
4	145	70
5	285	70
6	606	70
7	1101	70
8	2143	70
9	3241	70
10	3586	70
11	3739	70
12	3810	70
13	3824	70
14	3824	70
15	3824	70
0	3824	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize165.0ms (1.6%)

Memory

-0.6MiB live, 74.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
✓	accuracy	94.1%	(/.f64 z (*.f64 y x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	91.6%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	93.4%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) x)
✓	accuracy	100.0%	(fma.f64 x y x)
✓	accuracy	100.0%	(-.f64 (/.f64 (fma.f64 x y x) z) x)
✓	accuracy	96.6%	(/.f64 (fma.f64 x y x) z)

Samples

149.0ms

256×

valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

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

ival-mult: 47.0ms (76.1% of total)

ival-div: 11.0ms (17.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-add: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.4%)

Memory

-29.9MiB live, 68.9MiB allocated

Counts

12 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ 1 (/ z (* y x)))
6.0ms	y	@	-inf	(/ (+ (* x y) x) z)
1.0ms	x	@	inf	(- (/ (+ (* x y) x) z) x)
1.0ms	x	@	-inf	(- (/ (+ (* x y) x) z) x)
1.0ms	z	@	-inf	(/ z (* y x))

rewrite443.0ms (4.2%)

Memory

7.6MiB live, 549.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 916×	`lower-fma.f32`
6 914×	`lower-fma.f64`
5 074×	`lower-*.f32`
5 070×	`lower-*.f64`
3 952×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	29	55
1	115	55
2	767	55
0	8139	55

Stop Event

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

Counts

12 → 910

Calls

Call 1

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

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

simplify399.0ms (3.8%)

Memory

2.9MiB live, 326.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 790×	`lower-fma.f64`
5 790×	`lower-fma.f32`
2 276×	`lower-*.f64`
2 276×	`lower-*.f32`
1 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1832
1	211	1832
2	586	1772
3	1501	1772
4	3897	1772
5	5889	1772
6	6935	1772
7	7373	1772
8	7480	1772
9	7520	1772
10	7562	1772
0	8143	1687

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 359

Calls

Call 1

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

eval159.0ms (1.5%)

Memory: 42.8MiB live, 343.5MiB allocated
Compiler: Compiled 20 450 to 1 853 computations (90.9% saved)

prune141.0ms (1.3%)

Memory

-47.6MiB live, 332.3MiB allocated

Pruning

15 alts after pruning (2 fresh and 13 done)

	Pruned	Kept	Total
New	1 267	2	1 269
Fresh	1	0	1
Picked	1	4	5
Done	0	9	9
Total	1 269	15	1 284

Accuracy

100.0%

Counts

1 284 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x))
✓	90.0%	(/.f64 (fma.f64 (-.f64 y z) x x) z)
✓	55.7%	(/.f64 (fma.f64 x (neg.f64 z) x) z)
✓	62.2%	(/.f64 (fma.f64 x y x) z)
✓	41.0%	(/.f64 (*.f64 x y) z)
✓	39.7%	(/.f64 y (/.f64 z x))
✓	39.8%	(/.f64 x (/.f64 z y))
✓	28.6%	(/.f64 x z)
✓	41.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
	74.7%	(-.f64 (/.f64 (*.f64 x y) z) x)
✓	63.0%	(-.f64 (/.f64 x z) x)
✓	96.9%	(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) x)
✓	39.8%	(*.f64 (/.f64 y z) x)
✓	39.7%	(*.f64 y (/.f64 x z))
✓	37.3%	(neg.f64 x)

Compiler

Compiled 285 to 133 computations (53.3% saved)

regimes33.0ms (0.3%)

Memory

27.0MiB live, 69.2MiB allocated

Counts

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

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

Calls

4 calls:

12.0ms	y
7.0ms	x
7.0ms	z
6.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
99.9%	2	`x`
96.9%	1	`y`
99.2%	2	`z`
99.1%	2	`(/.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

-23.4MiB live, 16.0MiB allocated

Counts

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

12.9MiB live, 12.9MiB 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 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:

4.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

3.4MiB live, 42.9MiB allocated

Counts

11 → 1

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 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)

Calls

4 calls:

5.0ms	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
96.7%	1	`y`
96.7%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
96.7%	1	`z`
96.7%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.1%)

Memory

-3.6MiB live, 35.9MiB allocated

Counts

9 → 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 x y) z) x)
(/.f64 (fma.f64 x (neg.f64 z) x) z)

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

Calls

4 calls:

4.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
76.6%	2	`x`
95.6%	3	`y`
95.5%	3	`z`
88.6%	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

16.1MiB live, 16.2MiB allocated

Counts

7 → 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)

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

Calls

2 calls:

3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
86.2%	3	`z`
89.2%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

-32.9MiB live, 7.9MiB 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 (*.f64 x y) z)
(-.f64 (/.f64 x z) x)
(/.f64 (*.f64 x y) z)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 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)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-13.9MiB live, 24.9MiB 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:

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

Results

Accuracy	Segments	Branch
63.0%	1	`x`
63.0%	1	`z`
63.0%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
63.0%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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:

2.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)

Results

Accuracy	Segments	Branch
45.5%	6	`y`
49.0%	2	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
62.0%	3	`z`
37.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
37.3%	1	`y`
37.3%	1	`(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)`
37.3%	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	32890366081728730.0	11901401418180878000.0

Samples

1.0ms

16×

valid

Compiler

Compiled 40 to 30 computations (25% saved)

Precisions

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

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

ival-div: 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)

bsearch12.0ms (0.1%)

Memory

-30.5MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	2.223441350766573e+24	3.2921276645996537e+25

Samples

9.0ms

48×

valid

Compiler

Compiled 90 to 62 computations (31.1% saved)

Precisions

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

ival-sub: 7.0ms (85.6% of total)

ival-div: 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×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	32890366081728730.0	11901401418180878000.0

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch26.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.822682182207433e-14	7.900098400955633e-7
12.0ms	-42950320.60289714	-0.4980014837924601

Samples

14.0ms

288×

valid

Compiler

Compiled 375 to 248 computations (33.9% saved)

Precisions

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

ival-sub: 2.0ms (28.6% of total)

ival-div: 2.0ms (28.6% of total)

ival-mult: 2.0ms (28.6% of total)

ival-add: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.6%)

Memory

-55.8MiB live, 49.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	36791.76426228449	1071794073634226700.0
44.0ms	-0.4980014837924601	-0.015795923054317138

Samples

50.0ms

272×

valid

Compiler

Compiled 328 to 218 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 36.0ms (87.8% of total)

ival-div: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	36791.76426228449	1071794073634226700.0
11.0ms	-42950320.60289714	-0.4980014837924601

Samples

6.0ms

128×

valid

Compiler

Compiled 357 to 242 computations (32.2% saved)

Precisions

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

ival-sub: 1.0ms (31.8% of total)

ival-div: 1.0ms (31.8% of total)

ival-add: 1.0ms (31.8% of total)

ival-mult: 1.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	36791.76426228449	1071794073634226700.0
1.0ms	-42950320.60289714	-0.4980014837924601

Compiler

Compiled 357 to 242 computations (32.2% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	36791.76426228449	1071794073634226700.0
1.0ms	-42950320.60289714	-0.4980014837924601

Compiler

Compiled 357 to 242 computations (32.2% saved)

bsearch26.0ms (0.3%)

Memory

9.8MiB live, 48.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.939541736163512e-10	6.088484763774941e-7
14.0ms	-57832900.29949549	-12.812490493625134

Samples

13.0ms

272×

valid

Compiler

Compiled 236 to 184 computations (22% saved)

Precisions

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

ival-sub: 2.0ms (29.2% of total)

ival-div: 2.0ms (29.2% of total)

ival-mult: 2.0ms (29.2% of total)

ival-add: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify243.0ms (2.3%)

Memory

-21.1MiB live, 16.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-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	54	213
1	71	213
2	79	213
3	82	213
4	83	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 50000000000000000 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(if (<=.f64 x #s(literal 10000000000000000905969664 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 50000000000000000 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (if (<=.f64 y #s(literal 7366891713276647/9444732965739290427392 binary64)) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 (.f64 x y) z) x)))
(if (<=.f64 y #s(literal -2206763817411543/4503599627370496 binary64)) (/.f64 (fma.f64 x y x) z) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -26000 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -26000 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -26000 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(-.f64 (/.f64 x z) x)
(if (<=.f64 z #s(literal -13 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 2833419889721787/4722366482869645213696 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

Outputs
(if (<=.f64 x #s(literal 50000000000000000 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(if (<=.f64 x #s(literal 10000000000000000905969664 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 10000000000000000905969664 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)))
(if (<=.f64 x #s(literal 50000000000000000 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 50000000000000000 binary64)) (-.f64 (/.f64 (fma.f64 x y x) z) x) (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z))))
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 (.f64 x y) z) x) (if (<=.f64 y #s(literal 7366891713276647/9444732965739290427392 binary64)) (-.f64 (/.f64 x z) x) (-.f64 (/.f64 (.f64 x y) z) x)))
(if (<=.f64 y #s(literal -2206763817411543/4503599627370496 binary64)) (/.f64 (fma.f64 x y x) z) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (/.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -26000 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -26000 binary64)) (.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -26000 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -26000 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 190000000000 binary64)) (-.f64 (/.f64 x z) x) (.f64 y (/.f64 x z))))
(-.f64 (/.f64 x z) x)
(if (<=.f64 z #s(literal -13 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 2833419889721787/4722366482869645213696 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)

soundness1.5s (14.2%)

Memory

28.1MiB live, 930.8MiB allocated

Rules

11 728×	`lower-fma.f64`
11 728×	`lower-fma.f32`
8 534×	`lower-fma.f32`
8 530×	`lower-fma.f64`
7 442×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	30	63
1	128	61
2	943	61
0	8707	61
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	82	697
1	263	697
2	801	697
3	2493	696
4	5556	695
0	8369	633
0	70	1832
1	211	1832
2	586	1772
3	1501	1772
4	3897	1772
5	5889	1772
6	6935	1772
7	7373	1772
8	7480	1772
9	7520	1772
10	7562	1772
0	8143	1687
0	16	57
0	29	55
1	115	55
2	767	55
0	8139	55

Stop Event

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

Compiler

Compiled 427 to 195 computations (54.3% saved)

preprocess201.0ms (1.9%)

Memory: 12.0MiB live, 293.3MiB allocated
Compiler: Compiled 584 to 190 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.4%)

sample821.0ms (7.8%)

preprocess591.0ms (5.6%)

explain116.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify744.0ms (7.1%)

localize22.0ms (0.2%)

series13.0ms (0.1%)

rewrite301.0ms (2.9%)

simplify388.0ms (3.7%)

eval57.0ms (0.5%)

prune76.0ms (0.7%)

simplify207.0ms (2%)

localize61.0ms (0.6%)

series33.0ms (0.3%)

rewrite494.0ms (4.7%)

simplify563.0ms (5.3%)

eval503.0ms (4.8%)

prune144.0ms (1.4%)

simplify524.0ms (5%)

localize49.0ms (0.5%)

series28.0ms (0.3%)

rewrite421.0ms (4%)

simplify289.0ms (2.7%)

eval121.0ms (1.1%)

prune137.0ms (1.3%)

simplify233.0ms (2.2%)

localize165.0ms (1.6%)

series45.0ms (0.4%)

rewrite443.0ms (4.2%)

simplify399.0ms (3.8%)

eval159.0ms (1.5%)

prune141.0ms (1.3%)

regimes33.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes17.0ms (0.2%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch26.0ms (0.2%)

bsearch62.0ms (0.6%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

simplify243.0ms (2.3%)

soundness1.5s (14.2%)

preprocess201.0ms (1.9%)

end0.0ms (0%)

Profiling