Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

analyze129.0ms (1.5%)

Memory

10.5MiB live, 162.7MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample837.0ms (9.8%)

Memory

-27.8MiB live, 1 296.5MiB allocated

Samples

474.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-div: 134.0ms (47.2% of total)

ival-sub: 87.0ms (30.6% of total)

ival-add: 49.0ms (17.3% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess140.0ms (1.6%)

Memory

-15.1MiB live, 109.5MiB allocated

Algorithm

1×	egg-herbie

Rules

702×	`times-frac`
506×	`div-sub`
396×	`unsub-neg`
382×	`distribute-rgt-in`
368×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	90
1	83	82
2	160	81
3	361	81
4	1104	81
5	2058	81
6	2769	81
7	3345	81
8	3484	81
9	3542	81
10	3578	81
11	3606	81
12	3606	81
0	8	9
0	12	9
1	17	9
2	25	9
3	34	9
4	50	9
5	66	9
6	87	9
7	115	9
8	153	9
9	212	9
10	343	9
11	451	9
12	632	9
13	780	9
14	853	9
15	894	9
16	896	9
17	900	9
0	900	9

Stop Event

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

Calls

Call 1

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

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

explain132.0ms (1.6%)

Memory

-24.6MiB live, 93.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`	n/o	24	0
↳	`(/.f64 y z)`	overflow	24
↳	`(-.f64 #s(literal 1 binary64) (/.f64 y z))`	overflow	24

Confusion

	Predicted +	Predicted -
+	24	0
-	0	232

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	0
-	0	0	232

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 18.0ms (63.7% of total)

ival-div: 7.0ms (24.8% of total)

ival-add: 3.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify36.0ms (0.4%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
240×	`lower-*.f64`
240×	`lower-*.f32`
192×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (0.8%)

Memory

-21.9MiB live, 17.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-div: 3.0ms (47.5% of total)

ival-sub: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite290.0ms (3.4%)

Memory

21.2MiB live, 257.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 550×	`lower-*.f64`
3 550×	`lower-*.f32`
3 202×	`lower-/.f32`
3 198×	`lower-/.f64`
2 858×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20

Stop Event

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

Counts

4 → 336

Calls

Call 1

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

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

simplify585.0ms (6.9%)

Memory

9.9MiB live, 564.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
4 624×	`lower-*.f64`
4 624×	`lower-*.f32`
2 932×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

eval86.0ms (1%)

Memory: -16.3MiB live, 98.1MiB allocated
Compiler: Compiled 10 387 to 997 computations (90.4% saved)

prune105.0ms (1.2%)

Memory

-6.1MiB live, 114.0MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	424	13	437
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	424	14	438

Accuracy

100.0%

Counts

438 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y))
▶	90.9%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
	44.6%	(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z)))
✓	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	90.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
	90.8%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
▶	45.5%	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))
	46.3%	(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))
	46.8%	(+.f64 y x)
	50.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
▶	44.6%	(*.f64 (/.f64 x (-.f64 z y)) z)
	90.9%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y))
	51.8%	(neg.f64 (fma.f64 z (/.f64 x y) z))
▶	37.0%	(neg.f64 z)

Compiler

Compiled 324 to 198 computations (38.9% saved)

simplify204.0ms (2.4%)

Memory

27.0MiB live, 148.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
✓	cost-diff	0	(*.f64 z (+.f64 z x))
✓	cost-diff	0	(/.f64 (*.f64 z (+.f64 z x)) y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	128	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 x (-.f64 z y))
✓	cost-diff	0	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))

Rules

2 336×	`lower-fma.f32`
2 334×	`lower-fma.f64`
1 176×	`lower-*.f32`
1 172×	`lower-*.f64`
1 058×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	113
0	38	113
1	69	109
2	119	108
3	240	108
4	514	108
5	1574	108
6	3269	108
7	4211	108
8	4649	108
9	4705	108
10	4720	108
11	4720	108
12	5016	108
13	5132	108
14	5132	108
15	5132	108
0	5132	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (0.9%)

Memory

8.4MiB live, 124.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
✓	accuracy	91.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z (+.f64 z x))
✓	accuracy	100.0%	(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))
✓	accuracy	88.6%	(/.f64 (*.f64 z (+.f64 z x)) y)
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 x (-.f64 z y))
✓	accuracy	86.0%	(*.f64 (/.f64 x (-.f64 z y)) z)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))
✓	accuracy	91.0%	(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

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

ival-div: 15.0ms (52.4% of total)

ival-mult: 5.0ms (17.5% of total)

ival-sub: 4.0ms (14% of total)

ival-add: 4.0ms (14% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

-30.3MiB live, 44.9MiB allocated

Counts

15 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/ (+ x y) (+ (* (/ -1 z) y) 1))
3.0ms	x	@	inf	(- (neg z) (/ (* z (+ z x)) y))
2.0ms	z	@	0	(/ -1 z)
1.0ms	y	@	inf	(/ (- 1 (/ y z)) (+ x y))
1.0ms	z	@	inf	(* (/ x (- z y)) z)

rewrite300.0ms (3.5%)

Memory

9.8MiB live, 562.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 226×	`lower-/.f32`
5 212×	`lower-/.f64`
4 160×	`lower-*.f32`
4 156×	`lower-*.f64`
3 802×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	89
0	38	89
1	174	85
2	1440	85
0	8710	85

Stop Event

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

Counts

15 → 907

Calls

Call 1

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

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

simplify388.0ms (4.6%)

Memory

-12.8MiB live, 641.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 238×	`lower-fma.f64`
9 238×	`lower-fma.f32`
5 188×	`lower-*.f64`
5 188×	`lower-*.f32`
2 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	4583
1	1844	4351
2	5450	4137
0	8165	3965

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 406

Calls

Call 1

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

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

eval230.0ms (2.7%)

Memory: 51.9MiB live, 393.8MiB allocated
Compiler: Compiled 28 234 to 2 762 computations (90.2% saved)

prune150.0ms (1.8%)

Memory

-33.7MiB live, 412.6MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 392	14	1 406
Fresh	6	2	8
Picked	3	2	5
Done	0	1	1
Total	1 401	19	1 420

Accuracy

100.0%

Counts

1 420 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(fma.f64 (/.f64 (+.f64 z x) #s(literal -1 binary64)) (/.f64 z y) (neg.f64 z))
	32.1%	(fma.f64 y (/.f64 x z) x)
✓	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	38.1%	(/.f64 (*.f64 z x) (-.f64 z y))
	44.1%	(/.f64 z (/.f64 (-.f64 z y) x))
▶	44.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.9%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
▶	48.7%	(-.f64 (neg.f64 z) (/.f64 (*.f64 z x) y))
▶	46.8%	(+.f64 y x)
	50.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	44.6%	(*.f64 (/.f64 x (-.f64 z y)) z)
	16.9%	(*.f64 (/.f64 x (neg.f64 y)) z)
	38.0%	(.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
▶	51.8%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
	17.9%	(*.f64 x (/.f64 (neg.f64 z) y))
	48.9%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z))
	41.4%	(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y))
✓	37.0%	(neg.f64 z)

Compiler

Compiled 357 to 232 computations (35% saved)

simplify107.0ms (1.3%)

Memory

10.3MiB live, 86.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(/.f64 (*.f64 z x) y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	128	(-.f64 (neg.f64 z) (/.f64 (*.f64 z x) y))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	cost-diff	0	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	128	(fma.f64 (/.f64 (+.f64 z x) #s(literal -1 binary64)) (/.f64 z y) (neg.f64 z))
✓	cost-diff	576	(/.f64 (+.f64 z x) #s(literal -1 binary64))

Rules

1 632×	`lower-fma.f32`
1 630×	`lower-fma.f64`
712×	`lower-*.f32`
708×	`lower-*.f64`
586×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	36	90
1	58	90
2	104	89
3	202	89
4	416	88
5	1084	87
6	2120	87
7	2500	87
8	2631	87
9	2719	87
10	2763	87
11	2767	87
0	2767	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (0.9%)

Memory

12.3MiB live, 91.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	91.1%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(-.f64 (neg.f64 z) (/.f64 (*.f64 z x) y))
✓	accuracy	91.3%	(/.f64 (*.f64 z x) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 x y))
✓	accuracy	96.9%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	98.7%	(fma.f64 (/.f64 (+.f64 z x) #s(literal -1 binary64)) (/.f64 z y) (neg.f64 z))

Samples

55.0ms

256×

valid

Compiler

Compiled 94 to 23 computations (75.5% saved)

Precisions

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

ival-div: 21.0ms (51.5% of total)

ival-sub: 7.0ms (17.2% of total)

ival-add: 4.0ms (9.8% of total)

ival-mult: 4.0ms (9.8% of total)

ival-neg: 4.0ms (9.8% 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

2.2MiB live, 38.7MiB allocated

Counts

15 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (* z x) y)
1.0ms	z	@	0	(* z (- -1 (/ x y)))
1.0ms	x	@	inf	(* z (- -1 (/ x y)))
0.0ms	y	@	0	(* z (- -1 (/ x y)))
0.0ms	y	@	-inf	(* z (- -1 (/ x y)))

rewrite321.0ms (3.8%)

Memory

22.0MiB live, 410.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 142×	`lower-/.f32`
5 130×	`lower-/.f64`
4 752×	`lower-*.f32`
4 748×	`lower-*.f64`
2 884×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	73
0	36	72
1	161	70
2	1393	70
0	8354	70

Stop Event

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

Counts

15 → 644

Calls

Call 1

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

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

simplify383.0ms (4.5%)

Memory

-7.9MiB live, 637.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 388×	`lower-fma.f64`
11 388×	`lower-fma.f32`
3 968×	`lower-*.f64`
3 968×	`lower-*.f32`
2 992×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	2218
1	671	2150
2	1862	1984
3	6175	1959
0	8093	1935

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 381

Calls

Call 1

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

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

eval171.0ms (2%)

Memory: -3.8MiB live, 263.2MiB allocated
Compiler: Compiled 18 664 to 1 748 computations (90.6% saved)

prune375.0ms (4.4%)

Memory

-186.1MiB live, 202.7MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 044	4	1 048
Fresh	0	11	11
Picked	2	3	5
Done	0	3	3
Total	1 046	21	1 067

Accuracy

100.0%

Counts

1 067 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 z))
	15.9%	(fma.f64 y (/.f64 y z) y)
	32.1%	(fma.f64 y (/.f64 x z) x)
✓	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	38.1%	(/.f64 (*.f64 z x) (-.f64 z y))
	15.8%	(/.f64 (*.f64 x (neg.f64 z)) y)
	44.1%	(/.f64 z (/.f64 (-.f64 z y) x))
✓	44.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	16.5%	(/.f64 y #s(literal 1 binary64))
	48.9%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))
✓	46.8%	(+.f64 y x)
▶	50.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	44.6%	(*.f64 (/.f64 x (-.f64 z y)) z)
	16.9%	(*.f64 (/.f64 x (neg.f64 y)) z)
	38.0%	(.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
✓	51.8%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
▶	17.9%	(*.f64 x (/.f64 (neg.f64 z) y))
▶	48.9%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z))
	41.4%	(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y))
✓	37.0%	(neg.f64 z)

Compiler

Compiled 351 to 228 computations (35% saved)

simplify67.0ms (0.8%)

Memory

16.8MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 z y))
✓	cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(/.f64 y (-.f64 z y))
✓	cost-diff	0	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(/.f64 (neg.f64 z) y)
✓	cost-diff	0	(*.f64 x (/.f64 (neg.f64 z) y))
✓	cost-diff	704	(/.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	128	(fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 z))

Rules

704×	`lower-fma.f32`
702×	`lower-fma.f64`
560×	`lower-*.f32`
552×	`lower-*.f64`
400×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	31	81
1	60	77
2	126	77
3	276	77
4	528	76
5	937	76
6	1531	76
7	1678	76
8	1712	76
9	1719	76
10	1720	76
11	1720	76
0	1720	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.7%)

Memory

1.2MiB live, 117.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 z y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)
✓	accuracy	96.4%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z))
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(/.f64 y (-.f64 z y))
✓	accuracy	85.0%	(*.f64 (/.f64 y (-.f64 z y)) z)
✓	accuracy	100.0%	(/.f64 (neg.f64 z) y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	91.6%	(*.f64 x (/.f64 (neg.f64 z) y))
✓	accuracy	100.0%	(/.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	94.0%	(fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 z))

Samples

36.0ms

256×

valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

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

ival-div: 8.0ms (37.5% of total)

ival-mult: 8.0ms (37.5% of total)

ival-neg: 2.0ms (9.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-18.2MiB live, 22.5MiB allocated

Counts

13 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ y (- z y))
2.0ms	z	@	inf	(/ y (- z y))
0.0ms	y	@	-inf	(* (/ y (- z y)) z)
0.0ms	z	@	0	(/ (neg z) y)
0.0ms	z	@	-inf	(/ y (- z y))

rewrite238.0ms (2.8%)

Memory

1.4MiB live, 362.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 888×	`lower-fma.f32`
3 886×	`lower-fma.f64`
3 720×	`lower-*.f32`
3 712×	`lower-*.f64`
2 714×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	31	61
1	110	57
2	759	54
0	8744	53

Stop Event

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

Counts

13 → 888

Calls

Call 1

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

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

simplify379.0ms (4.5%)

Memory

38.2MiB live, 539.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 932×	`lower-fma.f64`
8 932×	`lower-fma.f32`
3 824×	`lower-*.f64`
3 824×	`lower-*.f32`
2 740×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	2576
1	1204	2405
2	3253	2221
0	8258	2122

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 291

Calls

Call 1

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

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

eval243.0ms (2.9%)

Memory: 3.4MiB live, 317.9MiB allocated
Compiler: Compiled 23 101 to 2 576 computations (88.8% saved)

prune204.0ms (2.4%)

Memory

-40.1MiB live, 490.9MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 333	9	1 342
Fresh	5	5	10
Picked	3	2	5
Done	1	5	6
Total	1 342	21	1 363

Accuracy

100.0%

Counts

1 363 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.9%	(fma.f64 y (/.f64 y z) y)
	32.7%	(fma.f64 x (/.f64 y z) x)
✓	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	38.1%	(/.f64 (*.f64 z x) (-.f64 z y))
	15.8%	(/.f64 (*.f64 x (neg.f64 z)) y)
	44.1%	(/.f64 z (/.f64 (-.f64 z y) x))
	48.9%	(/.f64 x (/.f64 (-.f64 z y) z))
✓	46.8%	(+.f64 y x)
	16.9%	(*.f64 (/.f64 (neg.f64 x) y) z)
	43.9%	(*.f64 (/.f64 z (-.f64 z y)) y)
✓	50.2%	(*.f64 (/.f64 y (-.f64 z y)) z)
	15.3%	(*.f64 (/.f64 y z) z)
✓	44.6%	(*.f64 (/.f64 x (-.f64 z y)) z)
	38.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (.f64 x z))
✓	51.8%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	17.9%	(*.f64 x (/.f64 (neg.f64 z) y))
	17.9%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) z))
	52.4%	(neg.f64 (fma.f64 x (/.f64 z y) z))
	41.4%	(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y))
✓	37.0%	(neg.f64 z)
	16.5%	y

Compiler

Compiled 507 to 213 computations (58% saved)

regimes79.0ms (0.9%)

Memory

-0.0MiB live, 76.6MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	y
12.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
12.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
91.0%	1	`x`
96.3%	3	`y`
94.5%	3	`z`
99.8%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.5%)

Memory

25.5MiB live, 99.6MiB allocated

Counts

33 → 4

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	y
11.0ms	x
9.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms	z

Results

Accuracy	Segments	Branch
71.0%	3	`x`
73.8%	3	`z`
80.6%	4	`y`
69.6%	6	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.2%)

Memory

-15.4MiB live, 23.5MiB allocated

Counts

29 → 4

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
80.6%	4	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

28 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.5%	4	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
76.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-23.5MiB live, 13.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
75.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Memory

-2.2MiB live, 35.3MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
50.5%	3	`x`
60.7%	3	`z`
70.3%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
y
(neg.f64 z)

Outputs
y
(neg.f64 z)
y

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.0%	1	`x`
42.7%	3	`z`
37.0%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
41.6%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-17.6MiB live, 14.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

4 calls:

5.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
16.5%	1	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`
16.5%	1	`x`
16.5%	1	`y`
16.5%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.37335996369897e-285
0.0ms	-2.483387647333933e-237	-5.447922379128869e-255

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch33.0ms (0.4%)

Memory

25.2MiB live, 69.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	1.2384225818442888e-8	0.24949261094708602
4.0ms	-4.738486286577232e-9	-3.5280187951310863e-9
7.0ms	-1.0597018876622227e+113	-4.411878069046302e+112

Samples

21.0ms

272×

valid

Compiler

Compiled 389 to 252 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 11.0ms (75.2% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.2384225818442888e-8	0.24949261094708602
0.0ms	-4.738486286577232e-9	-3.5280187951310863e-9
0.0ms	-1.0597018876622227e+113	-4.411878069046302e+112

Compiler

Compiled 389 to 264 computations (32.1% saved)

bsearch3.0ms (0%)

Memory

-33.5MiB live, 5.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.2384225818442888e-8	0.24949261094708602
0.0ms	-4.738486286577232e-9	-3.5280187951310863e-9
2.0ms	-1.0597018876622227e+113	-4.411878069046302e+112

Compiler

Compiled 413 to 276 computations (33.2% saved)

bsearch29.0ms (0.3%)

Memory

7.2MiB live, 79.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2643109305734447e-76	5.129800451274924e-75
12.0ms	-1.7865248211010254e+93	-2.1478760033791573e+87

Samples

12.0ms

256×

valid

Compiler

Compiled 303 to 206 computations (32% saved)

Precisions

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

ival-div: 3.0ms (46.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

-28.3MiB live, 41.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.397663523992326e-42	1.3168990629928603e-33
1.0ms	-1.7865248211010254e+93	-2.1478760033791573e+87

Samples

22.0ms

144×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

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

ival-div: 2.0ms (58.5% of total)

ival-sub: 1.0ms (29.2% of total)

ival-add: 1.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.397663523992326e-42	1.3168990629928603e-33
1.0ms	-1.7865248211010254e+93	-2.1478760033791573e+87

Compiler

Compiled 339 to 230 computations (32.2% saved)

bsearch24.0ms (0.3%)

Memory

16.7MiB live, 54.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.365272551535718e+87	1.9458028370415207e+90
10.0ms	-4.886018442554954e+117	-1.0597018876622227e+113

Samples

12.0ms

256×

valid

Compiler

Compiled 223 to 174 computations (22% saved)

Precisions

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

ival-div: 3.0ms (48.6% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

-14.0MiB live, 65.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.740810037723688e+193	1.1083595327403809e+199
14.0ms	-4.676510015512331e+177	-6.286857758094021e+159

Samples

15.0ms

304×

valid

Compiler

Compiled 224 to 185 computations (17.4% saved)

Precisions

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

ival-div: 4.0ms (49.1% of total)

ival-add: 3.0ms (36.8% of total)

ival-sub: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	274
1	87	274
2	101	274
3	108	274
4	110	274

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 5092589940836215/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (+.f64 y x) (*.f64 (/.f64 y (-.f64 z y)) z)))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 y x) (neg.f64 (fma.f64 z (/.f64 x y) z))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 x (/.f64 z y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 y x) (neg.f64 (fma.f64 x (/.f64 z y) z))))
(if (<=.f64 y #s(literal -150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 184999999999999989841823427257240610951073025470585742597675871500811788563517266781536256 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 z #s(literal -1299999999999999999121684417640717829754571789975715808152555362922753078541492669650228659839255854295206211933856938595706721930090790259960064286692120662638592 binary64)) y (if (<=.f64 z #s(literal 87999999999999994481689538466477480506804802099160118845399857515831063795275300216220550072174826002329758320939077086863015436535255116886618847749023798453409743016709306932617526787222536192 binary64)) (neg.f64 z) y))
y

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3665779701564795/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (/.f64 (-.f64 z y) z)) (.f64 z (/.f64 y (-.f64 z y))))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 z (/.f64 y (-.f64 z y))))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 (/.f64 y (-.f64 z y)) z) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z)) (.f64 (/.f64 y (-.f64 z y)) z))))
(if (<=.f64 y #s(literal -75000000000000001166956209710013226820115104769079607502732793532312533587356677744873904243628558575715471065088 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal -279564095785883/75557863725914323419136 binary64)) (.f64 z (/.f64 y (-.f64 z y))) (if (<=.f64 y #s(literal 4722366482869645/37778931862957161709568 binary64)) (.f64 x (.f64 z (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (.f64 z (/.f64 y (-.f64 z y))))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 5092589940836215/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (+.f64 y x) (*.f64 (/.f64 y (-.f64 z y)) z)))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 5092589940836215/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (+.f64 x y) (*.f64 z (/.f64 y (-.f64 z y)))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 y x) (neg.f64 (fma.f64 z (/.f64 x y) z))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 x y) (neg.f64 (fma.f64 z (/.f64 x y) z))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 x (/.f64 z y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 y x) (neg.f64 (fma.f64 x (/.f64 z y) z))))
(if (<=.f64 y #s(literal -6999999999999999715917071194452539120443972627539160077688173068646927460656680978612224 binary64)) (neg.f64 (fma.f64 x (/.f64 z y) z)) (if (<=.f64 y #s(literal 7599808514120695/11692013098647223345629478661730264157247460343808 binary64)) (+.f64 x y) (neg.f64 (fma.f64 x (/.f64 z y) z))))
(if (<=.f64 y #s(literal -150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 184999999999999989841823427257240610951073025470585742597675871500811788563517266781536256 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -150000000000000002333912419420026453640230209538159215005465587064625067174713355489747808487257117151430942130176 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 184999999999999989841823427257240610951073025470585742597675871500811788563517266781536256 binary64)) (+.f64 x y) (neg.f64 z)))
(if (<=.f64 z #s(literal -1299999999999999999121684417640717829754571789975715808152555362922753078541492669650228659839255854295206211933856938595706721930090790259960064286692120662638592 binary64)) y (if (<=.f64 z #s(literal 87999999999999994481689538466477480506804802099160118845399857515831063795275300216220550072174826002329758320939077086863015436535255116886618847749023798453409743016709306932617526787222536192 binary64)) (neg.f64 z) y))
y

soundness1.6s (18.5%)

Memory

22.3MiB live, 1 087.4MiB allocated

Rules

17 244×	`lower-fma.f64`
17 244×	`lower-fma.f32`
11 388×	`lower-fma.f64`
11 388×	`lower-fma.f32`
9 238×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
0	31	61
1	110	57
2	759	54
0	8744	53
0	21	89
0	38	89
1	174	85
2	1440	85
0	8710	85
0	569	4583
1	1844	4351
2	5450	4137
0	8165	3965
0	216	2218
1	671	2150
2	1862	1984
3	6175	1959
0	8093	1935
0	181	958
1	589	915
2	1842	852
3	7158	833
0	8263	790
0	8	20
0	12	20
1	56	20
2	432	20
3	7705	20
0	8025	20

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 550 to 257 computations (53.3% saved)

preprocess103.0ms (1.2%)

Memory: -16.7MiB live, 228.8MiB allocated
Compiler: Compiled 650 to 190 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24

analyze129.0ms (1.5%)

sample837.0ms (9.8%)

preprocess140.0ms (1.6%)

explain132.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.4%)

localize69.0ms (0.8%)

series9.0ms (0.1%)

rewrite290.0ms (3.4%)

simplify585.0ms (6.9%)

eval86.0ms (1%)

prune105.0ms (1.2%)

simplify204.0ms (2.4%)

localize73.0ms (0.9%)

series34.0ms (0.4%)

rewrite300.0ms (3.5%)

simplify388.0ms (4.6%)

eval230.0ms (2.7%)

prune150.0ms (1.8%)

simplify107.0ms (1.3%)

localize78.0ms (0.9%)

series28.0ms (0.3%)

rewrite321.0ms (3.8%)

simplify383.0ms (4.5%)

eval171.0ms (2%)

prune375.0ms (4.4%)

simplify67.0ms (0.8%)

localize59.0ms (0.7%)

series14.0ms (0.2%)

rewrite238.0ms (2.8%)

simplify379.0ms (4.5%)

eval243.0ms (2.9%)

prune204.0ms (2.4%)

regimes79.0ms (0.9%)

regimes43.0ms (0.5%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch33.0ms (0.4%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch29.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch2.0ms (0%)

bsearch24.0ms (0.3%)

bsearch28.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.6s (18.5%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	17	24
2	25	24
3	34	24
4	50	24
5	66	24
6	87	24
7	115	24
8	153	24
9	212	24
10	343	24
11	451	24
12	632	24
13	780	24
14	853	24
15	894	24
16	896	24
17	900	24
0	900	24