Metrics for Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

analyze204.0ms (2.1%)

Memory

-14.0MiB live, 61.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample717.0ms (7.2%)

Memory

-25.7MiB live, 1 193.9MiB allocated

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-div: 74.0ms (30.6% of total)

ival-mult: 65.0ms (26.9% of total)

ival-sub: 57.0ms (23.6% of total)

ival-add: 36.0ms (14.9% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

preprocess625.0ms (6.3%)

Memory

31.2MiB live, 465.5MiB allocated

Algorithm

2×	egg-herbie

Rules

6 920×	`accelerator-lowering-fma.f32`
6 920×	`accelerator-lowering-fma.f64`
2 420×	`-lowering-.f32`
2 420×	`-lowering-.f64`
2 102×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	103
1	84	93
2	202	90
3	757	90
4	2181	90
5	5110	90
6	6182	90
7	6499	90
8	6578	90
9	6619	90
10	6620	90
11	6885	90
12	7418	90
13	7630	90
14	7682	90
15	7740	90
16	7764	90
17	7766	90
18	7766	90
0	7	9
1	11	9
2	22	9
3	49	9
4	85	9
5	134	9
6	239	9
7	485	9
8	1318	9
9	2870	9
10	3834	9
11	4295	9
12	4561	9
13	4692	9
14	4707	9
15	6209	9
16	6685	9
17	6949	9
18	7091	9
19	7213	9
20	7213	9
21	7490	9
22	7596	9
23	7596	9
24	7736	9
0	8014	8

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x (* y (- z x))) z)
(+ y (* x (/ (- 1 y) z)))
(/ (+ (neg x) (* y (- z (neg x)))) z)
(+ y (* x (/ (+ y -1) z)))
(/ (+ x (* (neg y) (- z x))) z)
(- (/ (+ x (* x y)) z) y)
(/ (+ x (* y (- (neg z) x))) (neg z))
(+ y (* x (/ (+ y -1) z)))
(neg (/ (+ (neg x) (* y (- z (neg x)))) z))
(- (* x (/ (- 1 y) z)) y)
(neg (/ (+ x (* (neg y) (- z x))) z))
(- y (/ (+ x (* x y)) z))
(neg (/ (+ x (* y (- (neg z) x))) (neg z)))
(- (* x (/ (- 1 y) z)) y)
(/ (+ y (* x (- z y))) z)
(+ x (/ (- y (* x y)) z))
(/ (+ z (* y (- x z))) x)
(+ y (* z (/ (- 1 y) x)))
(/ (+ x (* z (- y x))) y)
(+ z (* x (/ (- 1 z) y)))

explain129.0ms (1.3%)

Memory

13.3MiB live, 171.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
0	-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
0	-	-	`y`
0	-	-	`(*.f64 y (-.f64 z x))`
0	-	-	`(-.f64 z x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`	o/n	29	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	50
↳	`(*.f64 y (-.f64 z x))`	overflow	50

Confusion

	Predicted +	Predicted -
+	29	0
-	0	227

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	0
-	0	0	227

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

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

ival-div: 4.0ms (30.6% of total)

ival-sub: 3.0ms (22.9% of total)

ival-mult: 3.0ms (22.9% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0%)

Memory

-44.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify551.0ms (5.6%)

Memory

5.9MiB live, 399.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 z x)
✓	cost-diff	(*.f64 y (-.f64 z x))
✓	cost-diff	(+.f64 x (*.f64 y (-.f64 z x)))
✓	cost-diff	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Rules

6 920×	`accelerator-lowering-fma.f32`
6 920×	`accelerator-lowering-fma.f64`
2 420×	`-lowering-.f32`
2 420×	`-lowering-.f64`
1 122×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	11	27
2	22	27
3	49	27
4	85	27
5	134	27
6	239	27
7	485	27
8	1318	27
9	2870	27
10	3834	27
11	4295	27
12	4561	27
13	4692	27
14	4707	27
15	6209	27
16	6685	27
17	6949	27
18	7091	27
19	7213	27
20	7213	27
21	7490	27
22	7596	27
23	7596	27
24	7736	27
0	8014	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize33.0ms (0.3%)

Memory

12.5MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

26.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 14.0ms (75.7% of total)

ival-div: 2.0ms (10.8% of total)

ival-mult: 2.0ms (10.8% of total)

ival-add: 1.0ms (5.4% of total)

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

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

series9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite773.0ms (7.8%)

Memory

-3.2MiB live, 636.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 848×	`accelerator-lowering-fma.f32`
4 848×	`accelerator-lowering-fma.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
3 004×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	42	24
2	348	24
3	4562	24
0	9107	22

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 373

Calls

Call 1

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

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

simplify528.0ms (5.3%)

Memory

-7.8MiB live, 361.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
2 496×	`-lowering-.f32`
2 496×	`-lowering-.f64`
1 468×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	910
1	346	796
2	1046	742
3	3275	742
4	5764	742
5	7665	742
0	8063	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval199.0ms (2%)

Memory: 17.1MiB live, 132.1MiB allocated
Compiler: Compiled 14 161 to 1 325 computations (90.6% saved)

prune117.0ms (1.2%)

Memory

-10.2MiB live, 187.6MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	497	8	505
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	497	9	506

Accuracy

100.0%

Counts

506 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶	69.9%	(/.f64 (+.f64 x (*.f64 y z)) z)
▶	30.9%	(/.f64 (*.f64 y z) z)
	62.4%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	41.6%	(/.f64 x z)
▶	99.9%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
▶	63.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
	65.5%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	38.3%	y

Compiler

Compiled 152 to 101 computations (33.6% saved)

simplify265.0ms (2.7%)

Memory

9.6MiB live, 439.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(+.f64 x (*.f64 y z))
✓	cost-diff	128	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	256	(/.f64 (*.f64 y z) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	cost-diff	0	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))

Rules

9 336×	`accelerator-lowering-fma.f32`
9 336×	`accelerator-lowering-fma.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
1 298×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	24	68
2	40	68
3	78	68
4	233	68
5	775	68
6	3143	66
7	5028	66
8	7160	66
0	8083	64

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize67.0ms (0.7%)

Memory

-22.1MiB live, 96.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	88.2%	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	96.5%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	80.4%	(/.f64 (*.f64 y z) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
✓	accuracy	96.5%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Samples

30.0ms

256×

valid

Compiler

Compiled 74 to 14 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.6% of total)

ival-div: 5.0ms (32.1% of total)

ival-sub: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

8 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ (+ x (* y z)) z)
1.0ms	y	@	-inf	(+ y (* (- 1 y) (/ x z)))
1.0ms	x	@	inf	(+ y (* (- 1 y) (/ x z)))
1.0ms	y	@	0	(+ y (* (- 1 y) (/ x z)))
0.0ms	y	@	inf	(+ y (* (- 1 y) (/ x z)))

rewrite386.0ms (3.9%)

Memory

-12.8MiB live, 740.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 014×	`accelerator-lowering-fma.f32`
7 014×	`accelerator-lowering-fma.f64`
5 258×	`-lowering-.f32`
5 258×	`-lowering-.f64`
3 938×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	76	38
2	619	36
0	9209	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 709

Calls

Call 1

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

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

simplify289.0ms (2.9%)

Memory

33.9MiB live, 629.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 834×	`accelerator-lowering-fma.f32`
8 834×	`accelerator-lowering-fma.f64`
2 846×	`-lowering-.f32`
2 846×	`-lowering-.f64`
1 354×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1122
1	282	1048
2	809	1048
3	2140	1045
4	3921	1042
5	6682	1042
0	8186	985

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval163.0ms (1.6%)

Memory: -26.6MiB live, 303.9MiB allocated
Compiler: Compiled 22 272 to 2 133 computations (90.4% saved)

prune136.0ms (1.4%)

Memory

15.2MiB live, 371.4MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 249	6	1 255
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	1 251	13	1 264

Accuracy

100.0%

Counts

1 264 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.2%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 z (+.f64 y #s(literal 1 binary64))) x))
	63.6%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	69.9%	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	30.9%	(/.f64 (*.f64 y z) z)
▶	41.6%	(/.f64 x z)
▶	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
▶	77.3%	(+.f64 (/.f64 x z) y)
	35.6%	(*.f64 (/.f64 y z) z)
✓	63.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
▶	65.5%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
	61.7%	(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	38.3%	y

Compiler

Compiled 196 to 130 computations (33.7% saved)

simplify289.0ms (2.9%)

Memory

1.3MiB live, 444.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

6 100×	`accelerator-lowering-fma.f32`
6 100×	`accelerator-lowering-fma.f64`
3 090×	`-lowering-.f32`
3 090×	`-lowering-.f64`
1 842×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	44	81
2	117	81
3	361	81
4	1375	81
5	2843	81
6	4478	81
7	6057	81
8	7428	81
0	8017	78

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize103.0ms (1%)

Memory

-21.0MiB live, 137.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 z (+.f64 y #s(literal 1 binary64)))
✓	accuracy	94.3%	(/.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) x)
✓	accuracy	86.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 z (+.f64 y #s(literal 1 binary64))) x))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	98.4%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 (/.f64 x z) y)

Samples

78.0ms

256×

valid

Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 48.0ms (74.7% of total)

ival-div: 9.0ms (14% of total)

ival-mult: 5.0ms (7.8% of total)

ival-sub: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

1.6MiB live, 40.4MiB allocated

Counts

11 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite455.0ms (4.6%)

Memory

-0.8MiB live, 798.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 288×	`-lowering-.f32`
5 288×	`-lowering-.f64`
5 238×	`/-lowering-/.f32`
5 238×	`/-lowering-/.f64`
4 118×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	118	51
2	1131	51
0	8574	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 592

Calls

Call 1

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

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

simplify303.0ms (3.1%)

Memory

42.0MiB live, 549.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 636×	`accelerator-lowering-fma.f32`
6 636×	`accelerator-lowering-fma.f64`
3 410×	`-lowering-.f32`
3 410×	`-lowering-.f64`
1 094×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1471
1	278	1462
2	752	1453
3	1836	1444
4	3946	1444
5	7266	1444
0	8036	1366

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval122.0ms (1.2%)

Memory: -0.5MiB live, 326.2MiB allocated
Compiler: Compiled 15 643 to 1 822 computations (88.4% saved)

prune105.0ms (1.1%)

Memory

-18.5MiB live, 293.7MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	960	4	964
Fresh	1	2	3
Picked	1	4	5
Done	0	5	5
Total	962	15	977

Accuracy

100.0%

Counts

977 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.7%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (.f64 y z) x))
▶	63.6%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	69.9%	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	30.9%	(/.f64 (*.f64 y z) z)
✓	41.6%	(/.f64 x z)
▶	41.5%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	77.3%	(+.f64 (/.f64 x z) y)
▶	61.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
▶	35.6%	(*.f64 (/.f64 y z) z)
▶	41.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	63.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	65.5%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	38.3%	y

Compiler

Compiled 192 to 130 computations (32.3% saved)

simplify366.0ms (3.7%)

Memory

-19.4MiB live, 280.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	0	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	256	(*.f64 (/.f64 y z) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Rules

6 568×	`accelerator-lowering-fma.f32`
6 568×	`accelerator-lowering-fma.f64`
3 310×	`-lowering-.f32`
3 310×	`-lowering-.f64`
1 544×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	30	60
2	50	60
3	115	60
4	233	60
5	510	60
6	1657	60
7	3182	60
8	4703	60
9	7318	60
0	8154	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize235.0ms (2.4%)

Memory

-7.0MiB live, 66.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	96.8%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	79.0%	(*.f64 (/.f64 y z) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	96.3%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))

Samples

122.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 10.0ms (62.4% of total)

ival-mult: 4.0ms (24.9% of total)

ival-sub: 2.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite674.0ms (6.8%)

Memory

13.4MiB live, 484.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 088×	`/-lowering-/.f32`
3 088×	`/-lowering-/.f64`
2 998×	`-lowering-.f32`
2 998×	`-lowering-.f64`
2 144×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	76	42
2	568	38
0	6312	38

Stop Event

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

Counts

10 → 1 204

Calls

Call 1

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

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

simplify396.0ms (4%)

Memory

3.5MiB live, 438.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 464×	`accelerator-lowering-fma.f32`
5 464×	`accelerator-lowering-fma.f64`
3 072×	`-lowering-.f32`
3 072×	`-lowering-.f64`
1 994×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	1249
1	110	1120
2	308	988
3	653	988
4	2014	988
5	3916	988
6	5212	988
7	5938	988
8	6089	988
9	6125	988
10	6161	988
11	6739	988
12	6884	988
13	7145	988
14	7347	988
15	7577	988
16	7647	988
17	7785	988
0	8077	988

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval189.0ms (1.9%)

Memory: 40.5MiB live, 379.2MiB allocated
Compiler: Compiled 23 860 to 1 922 computations (91.9% saved)

prune157.0ms (1.6%)

Memory

-23.5MiB live, 218.0MiB allocated

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	1 589	1	1 590
Fresh	1	0	1
Picked	0	5	5
Done	0	9	9
Total	1 590	15	1 605

Accuracy

100.0%

Counts

1 605 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
	63.6%	(/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓	89.3%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	69.9%	(/.f64 (+.f64 x (*.f64 y z)) z)
✓	30.9%	(/.f64 (*.f64 y z) z)
✓	41.6%	(/.f64 x z)
✓	41.5%	(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	77.3%	(+.f64 (/.f64 x z) y)
✓	61.7%	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)
✓	35.6%	(*.f64 (/.f64 y z) z)
✓	41.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	63.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))
✓	65.5%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	38.3%	y

Compiler

Compiled 269 to 133 computations (50.6% saved)

regimes28.0ms (0.3%)

Memory

27.3MiB live, 65.3MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
6.0ms	z
6.0ms	x
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes28.0ms (0.3%)

Memory

-55.9MiB live, 51.4MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
8.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
87.0%	3	`x`
99.3%	3	`y`
89.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
87.6%	3	`z`
81.3%	2	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-3.2MiB live, 36.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
77.3%	1	`y`
77.3%	1	`x`
77.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-12.8MiB live, 26.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
61.1%	3	`z`
57.0%	3	`x`
61.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
y
(/.f64 x z)
y

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
61.1%	3	`z`
60.2%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

-24.5MiB live, 13.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
38.3%	1	`x`
38.3%	1	`y`
38.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.3%)

Memory

30.0MiB live, 72.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.2250514405161316e-9	1394.207857281844
15.0ms	-82562736814.4686	-3.1628619876708637e-9

Samples

17.0ms

336×

valid

Compiler

Compiled 435 to 307 computations (29.4% saved)

Precisions

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

ival-sub: 2.0ms (25.2% of total)

ival-div: 2.0ms (25.2% of total)

ival-mult: 2.0ms (25.2% of total)

ival-add: 1.0ms (12.6% of total)

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

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

bsearch23.0ms (0.2%)

Memory

-33.7MiB live, 45.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.2279775900798723e-10	2.5769612786900434e-9
13.0ms	-3.058118091012208e+87	-5.082126367639799e+75

Samples

12.0ms

256×

valid

Compiler

Compiled 335 to 237 computations (29.3% saved)

Precisions

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

ival-div: 2.0ms (33.1% of total)

ival-mult: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

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

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

bsearch22.0ms (0.2%)

Memory

4.2MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.2250514405161316e-9	1394.207857281844
7.0ms	-2.425609405887922e-17	-2.901988549011422e-18

Samples

12.0ms

256×

valid

Compiler

Compiled 271 to 189 computations (30.3% saved)

Precisions

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

ival-div: 2.0ms (33.4% of total)

ival-mult: 2.0ms (33.4% of total)

ival-sub: 1.0ms (16.7% of total)

ival-add: 1.0ms (16.7% of total)

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

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

bsearch29.0ms (0.3%)

Memory

19.1MiB live, 59.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.380662428157509e+36	9.523729530871645e+48
13.0ms	-3.058118091012208e+87	-5.082126367639799e+75

Samples

15.0ms

320×

valid

Compiler

Compiled 255 to 193 computations (24.3% saved)

Precisions

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

ival-sub: 2.0ms (26.3% of total)

ival-div: 2.0ms (26.3% of total)

ival-mult: 2.0ms (26.3% of total)

ival-add: 1.0ms (13.1% of total)

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

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

simplify12.0ms (0.1%)

Memory

-20.6MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	87
1	63	87
2	73	87
3	81	87
4	87	87
5	89	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) y) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (+.f64 (/.f64 x z) y) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 (/.f64 x z) y)))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) (.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 2568967366681087/18889465931478580854784 binary64)) (/.f64 x z) (.f64 (/.f64 y z) z)))
(if (<=.f64 z #s(literal -121999999999999997557625180733114189974557278874809827605686270580353391401593995264 binary64)) y (if (<=.f64 z #s(literal 16000000000000000718171402849214668568788992 binary64)) (/.f64 x z) y))
y

Outputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) y) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (+.f64 (/.f64 x z) y) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 (/.f64 x z) y)))
(if (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 785801782749509/1208925819614629174706176 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 y (/.f64 x z))))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) (.f64 (/.f64 y z) z) (if (<=.f64 y #s(literal 2568967366681087/18889465931478580854784 binary64)) (/.f64 x z) (.f64 (/.f64 y z) z)))
(if (<=.f64 y #s(literal -7463926734143815/324518553658426726783156020576256 binary64)) (.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 2568967366681087/18889465931478580854784 binary64)) (/.f64 x z) (.f64 z (/.f64 y z))))
(if (<=.f64 z #s(literal -121999999999999997557625180733114189974557278874809827605686270580353391401593995264 binary64)) y (if (<=.f64 z #s(literal 16000000000000000718171402849214668568788992 binary64)) (/.f64 x z) y))
y

soundness1.0s (10.3%)

Memory

47.6MiB live, 435.4MiB allocated

Rules

7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
7 014×	`accelerator-lowering-fma.f32`
7 014×	`accelerator-lowering-fma.f64`
5 258×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	76	38
2	619	36
0	9209	34
0	106	910
1	346	796
2	1046	742
3	3275	742
4	5764	742
5	7665	742
0	8063	688

Stop Event

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

Compiler

Compiled 227 to 119 computations (47.6% saved)

preprocess50.0ms (0.5%)

Memory: -3.3MiB live, 112.7MiB allocated
Compiler: Compiled 260 to 106 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze204.0ms (2.1%)

sample717.0ms (7.2%)

preprocess625.0ms (6.3%)

explain129.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify551.0ms (5.6%)

localize33.0ms (0.3%)

series9.0ms (0.1%)

rewrite773.0ms (7.8%)

simplify528.0ms (5.3%)

eval199.0ms (2%)

prune117.0ms (1.2%)

simplify265.0ms (2.7%)

localize67.0ms (0.7%)

series16.0ms (0.2%)

rewrite386.0ms (3.9%)

simplify289.0ms (2.9%)

eval163.0ms (1.6%)

prune136.0ms (1.4%)

simplify289.0ms (2.9%)

localize103.0ms (1%)

series17.0ms (0.2%)

rewrite455.0ms (4.6%)

simplify303.0ms (3.1%)

eval122.0ms (1.2%)

prune105.0ms (1.1%)

simplify366.0ms (3.7%)

localize235.0ms (2.4%)

series7.0ms (0.1%)

rewrite674.0ms (6.8%)

simplify396.0ms (4%)

eval189.0ms (1.9%)

prune157.0ms (1.6%)

regimes28.0ms (0.3%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch23.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch29.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.0s (10.3%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling