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

analyze86.0ms (1%)

Memory

13.3MiB live, 51.0MiB 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)

sample762.0ms (9.3%)

Memory

-1.8MiB live, 1 025.7MiB allocated

Samples

535.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-add: 74.0ms (28.1% of total)

ival-mult: 70.0ms (26.6% of total)

ival-div: 60.0ms (22.8% of total)

ival-sub: 50.0ms (19% of total)

ival-true: 6.0ms (2.3% of total)

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

Bogosity

preprocess606.0ms (7.4%)

Memory

32.0MiB live, 424.6MiB 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)))

explain138.0ms (1.7%)

Memory

-10.8MiB live, 193.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(/.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	39	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	61
↳	`(*.f64 y (-.f64 z x))`	overflow	61

Confusion

	Predicted +	Predicted -
+	39	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

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

ival-mult: 10.0ms (50.5% of total)

ival-div: 4.0ms (20.2% of total)

ival-sub: 3.0ms (15.1% of total)

ival-add: 2.0ms (10.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify415.0ms (5%)

Memory

18.8MiB live, 411.4MiB 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

localize27.0ms (0.3%)

Memory

-24.5MiB live, 55.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 2.0ms (32.2% of total)

ival-mult: 2.0ms (32.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

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

series10.0ms (0.1%)

Memory

-12.6MiB live, 25.5MiB 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	z	@	-inf	(/ (+ x (* y (- z x))) z)
1.0ms	y	@	0	(/ (+ x (* y (- z x))) z)
1.0ms	x	@	inf	(/ (+ x (* y (- z x))) z)
1.0ms	y	@	inf	(/ (+ x (* y (- z x))) z)

rewrite463.0ms (5.6%)

Memory

1.3MiB live, 734.2MiB 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)))))

simplify246.0ms (3%)

Memory

16.1MiB live, 505.2MiB 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)

eval101.0ms (1.2%)

Memory: -8.7MiB live, 145.1MiB allocated
Compiler: Compiled 14 161 to 1 325 computations (90.6% saved)

prune101.0ms (1.2%)

Memory

-22.2MiB live, 148.8MiB 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
✓	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
	67.2%	(/.f64 (+.f64 x (*.f64 y z)) z)
▶	26.4%	(/.f64 (*.f64 y z) z)
▶	62.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
	42.7%	(/.f64 x z)
▶	85.4%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
▶	100.0%	(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
	70.1%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
▶	39.0%	y

Compiler

Compiled 160 to 105 computations (34.4% saved)

simplify242.0ms (3%)

Memory

5.9MiB live, 528.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

5 764×	`accelerator-lowering-fma.f32`
5 764×	`accelerator-lowering-fma.f64`
3 716×	`-lowering-.f32`
3 716×	`-lowering-.f64`
1 972×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	36	89
2	76	89
3	166	89
4	538	89
5	1716	89
6	4335	89
7	7756	89
0	8368	85

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

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

localize88.0ms (1.1%)

Memory

-10.5MiB live, 146.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
✓	accuracy	85.3%	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	96.2%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	75.1%	(/.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	94.8%	(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))

Samples

36.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

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

ival-div: 8.0ms (37.9% of total)

ival-mult: 7.0ms (33.2% of total)

ival-sub: 3.0ms (14.2% of total)

ival-add: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

9.2MiB live, 46.6MiB allocated

Counts

12 → 360

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

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

Calls

90 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(/ z (+ x (* y (- z x))))
3.0ms	z	@	-inf	(/ z (+ x (* y (- z x))))
1.0ms	y	@	-inf	(+ y (* (- 1 y) (/ x z)))
1.0ms	x	@	0	(/ z (+ x (* y (- z x))))
1.0ms	z	@	inf	(/ z (+ x (* y (- z x))))

rewrite379.0ms (4.6%)

Memory

19.7MiB live, 700.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 352×	`accelerator-lowering-fma.f32`
4 352×	`accelerator-lowering-fma.f64`
3 776×	`-lowering-.f32`
3 776×	`-lowering-.f64`
3 566×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	110	68
2	915	68
0	8778	64

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 857

Calls

Call 1

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

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

simplify829.0ms (10.1%)

Memory

11.0MiB live, 1 003.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 188×	`accelerator-lowering-fma.f32`
9 188×	`accelerator-lowering-fma.f64`
6 448×	`-lowering-.f32`
6 448×	`-lowering-.f64`
2 800×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	3215
1	1232	3033
2	4337	3006
0	9332	2926

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

Outputs
(/ x z)
(/.f64 x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
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(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+.f64 y (/.f64 (*.f64 x (-.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 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 z y)) (/.f64 x 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)))
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(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
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(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z))))
y
(+ y (* x (- (/ 1 z) (/ y z))))
(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
(+ y (* x (- (/ 1 z) (/ y z))))
(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
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(* x (- (/ 1 z) (/ y z)))
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(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
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(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
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(/ (+ (* x (- 1 y)) (* y z)) z)
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(/ (+ (* 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)
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(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
(+ y (/ (* x (- 1 y)) z))
(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
(+ y (/ (* x (- 1 y)) z))
(+.f64 y (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z))
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(/ x z)
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(+ (* -1 (/ (* x y) z)) (/ x z))
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(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) z))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
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(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(.f64 y (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z)))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(.f64 y (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z)))
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(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(.f64 y (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(.f64 y (-.f64 (/.f64 x (.f64 z y)) (/.f64 x z)))
(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
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(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.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))
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(* -1 y)
(-.f64 #s(literal 0 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
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(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(/ x z)
(/.f64 x z)
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(/.f64 x z)
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(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
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y
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(* y z)
(*.f64 z y)
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(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
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(*.f64 z y)
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(*.f64 z y)
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(* y z)
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(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (* x (- 1 y)) z)
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(/ (- (+ (/ z (- z x)) (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2)))) y)
(/.f64 (+.f64 (/.f64 z (-.f64 z x)) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x z)) (.f64 (.f64 y (-.f64 z x)) (.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 (.f64 x z) (*.f64 (-.f64 z x) (-.f64 z x)))) y)) y)
(/ (- (+ (* -1 (/ (* (pow x 3) z) (* (pow y 3) (pow (- z x) 4)))) (/ z (- z x))) (+ (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 z (-.f64 z x)) (/.f64 (/.f64 (.f64 z (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (pow.f64 (-.f64 z x) #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x z)) (.f64 (.f64 y (-.f64 z x)) (.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 (.f64 x z) (.f64 (-.f64 z x) (-.f64 z x)))) y)) y)
(/ z (* y (- z x)))
(/.f64 (/.f64 z (-.f64 z x)) y)
(* -1 (/ (+ (* -1 (/ z (- z x))) (/ (* x z) (* y (pow (- z x) 2)))) y))
(/.f64 (-.f64 (/.f64 (.f64 x z) (.f64 (-.f64 z x) (*.f64 y (-.f64 z x)))) (/.f64 z (-.f64 z x))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (/ (* (pow x 2) z) (* y (pow (- z x) 3))) (/ (* x z) (pow (- z x) 2))) y))) y))
(/.f64 (+.f64 (/.f64 z (-.f64 z x)) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x z)) (.f64 (.f64 y (-.f64 z x)) (.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 (.f64 x z) (*.f64 (-.f64 z x) (-.f64 z x)))) y)) y)
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* y (pow (- z x) 4))) (/ (* (pow x 2) z) (pow (- z x) 3))) y)) (/ (* x z) (pow (- z x) 2))) y))) y))
(/.f64 (+.f64 (/.f64 z (-.f64 z x)) (/.f64 (-.f64 (/.f64 (.f64 x z) (.f64 (-.f64 z x) (+.f64 x (-.f64 #s(literal 0 binary64) z)))) (/.f64 (-.f64 (/.f64 (/.f64 (.f64 z (.f64 x (.f64 x x))) y) (pow.f64 (-.f64 z x) #s(literal 4 binary64))) (/.f64 (.f64 x (.f64 x z)) (.f64 (-.f64 z x) (*.f64 (-.f64 z x) (-.f64 z x))))) y)) y)) y)
(* y z)
(*.f64 z y)
(+ (* 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 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal -1 binary64) (/.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 y (-.f64 (+.f64 z (/.f64 x y)) x))
(* y (- (+ z (/ x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(* y (- (+ z (/ x y)) x))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(* y (- z x))
(*.f64 y (-.f64 z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) 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 z y)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(.f64 z (+.f64 y (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)))
(* 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 y (-.f64 #s(literal 0 binary64) 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 z y)
(* z (+ y (* -1 (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(.f64 z (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))))
(* y z)
(*.f64 z y)
(+ (* -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 y (-.f64 #s(literal 0 binary64) x))
(* x (+ (* -1 y) (/ (* y z) x)))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(* x (+ (* -1 y) (/ (* y z) x)))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(* x (+ (* -1 y) (/ (* y z) x)))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x y))
(*.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(.f64 x (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x))))

eval155.0ms (1.9%)

Memory: -11.7MiB live, 420.6MiB allocated
Compiler: Compiled 24 770 to 2 735 computations (89% saved)

prune146.0ms (1.8%)

Memory

-2.4MiB live, 324.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 273	3	1 276
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	1 276	9	1 285

Accuracy

100.0%

Counts

1 285 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	26.4%	(/.f64 (*.f64 y z) z)
✓	62.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	42.7%	(/.f64 x z)
▶	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 z y))))
▶	79.7%	(+.f64 y (/.f64 x z))
▶	39.6%	(*.f64 z (/.f64 y z))
▶	70.1%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.0%	y

Compiler

Compiled 122 to 80 computations (34.4% saved)

simplify221.0ms (2.7%)

Memory

-0.3MiB live, 351.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

6 056×	`accelerator-lowering-fma.f32`
6 056×	`accelerator-lowering-fma.f64`
3 992×	`-lowering-.f32`
3 992×	`-lowering-.f64`
1 300×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	26	65
2	53	65
3	105	65
4	310	65
5	1187	65
6	3336	65
7	6153	65
0	8031	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.6%)

Memory

6.2MiB live, 84.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 z y))))
✓	accuracy	84.8%	(/.f64 z (+.f64 x (*.f64 z y)))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓	accuracy	95.2%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	77.3%	(*.f64 z (/.f64 y z))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y (/.f64 x z))

Samples

34.0ms

256×

valid

Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions

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

ival-div: 7.0ms (32.7% of total)

ival-mult: 7.0ms (32.7% of total)

ival-add: 6.0ms (28.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

10 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite340.0ms (4.1%)

Memory

-33.6MiB live, 445.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 222×	`accelerator-lowering-fma.f32`
5 222×	`accelerator-lowering-fma.f64`
4 098×	`-lowering-.f32`
4 098×	`-lowering-.f64`
3 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	86	48
2	658	44
0	8941	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 672

Calls

Call 1

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

Outputs
(+.f64 y (/.f64 x z))
(+.f64 (/.f64 x z) y)
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 x z))) (neg.f64 (/.f64 (/.f64 x (/.f64 z (/.f64 x z))) (-.f64 y (/.f64 x z)))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y z))) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z)))) #s(literal -1 binary64)))
(-.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 x z))) (/.f64 (/.f64 x (/.f64 z (/.f64 x z))) (-.f64 y (/.f64 x z))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y z))) z) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 z z))) (-.f64 x (.f64 y z))) z))
(-.f64 (/.f64 (.f64 x x) (.f64 z (-.f64 x (.f64 y z)))) (/.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 z (-.f64 x (.f64 y z)))))
(-.f64 (/.f64 (/.f64 x (/.f64 z (/.f64 x z))) (-.f64 (/.f64 x z) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y)))
(fma.f64 y #s(literal 1 binary64) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y)
(fma.f64 z (/.f64 y z) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) y)
(fma.f64 (/.f64 y z) z (/.f64 x z))
(fma.f64 #s(literal 1 binary64) y (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) z) (/.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 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 x z))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) y)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 x z))) (neg.f64 (/.f64 (/.f64 x (/.f64 z (/.f64 x z))) (-.f64 y (/.f64 x z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z) (/.f64 x z))
(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) z) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) z) (/.f64 x z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y z))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y z)) (.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 x z))
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) y)
(fma.f64 (.f64 (.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x z) y) (/.f64 z x))))))
(neg.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 x (/.f64 z (/.f64 x z)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z))))))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x z) y) (/.f64 z x)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 y y)) (/.f64 x (/.f64 z (/.f64 x z)))) (-.f64 y (/.f64 x z))))
(/.f64 (+.f64 y (/.f64 x z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (+.f64 (.f64 x x) (.f64 y (.f64 z (-.f64 (.f64 y z) x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 x (.f64 y z))) (-.f64 (.f64 x x) (.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)))) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (.f64 (+.f64 y (/.f64 x z)) (-.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 z (/.f64 x z))) (.f64 y (-.f64 y (/.f64 x z)))) (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (*.f64 x (/.f64 x z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x z) y) (-.f64 (/.f64 x (/.f64 z (/.f64 x z))) (*.f64 y y))))
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y (/.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z)))))) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x z) y) (/.f64 z x))))
(/.f64 (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z)))))) (+.f64 (/.f64 x (/.f64 z (/.f64 x z))) (*.f64 y (-.f64 y (/.f64 x z)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (.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 (.f64 y y)) (.f64 z (.f64 z z)))) (.f64 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 (.f64 y y)) (.f64 z (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y z))))
(/.f64 (-.f64 (*.f64 y y) (/.f64 x (/.f64 z (/.f64 x z)))) (-.f64 y (/.f64 x z)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z)))) (.f64 z (-.f64 x (.f64 y z))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (-.f64 x (.f64 y z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (/.f64 (-.f64 (/.f64 x z) y) (/.f64 z x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y y)) (/.f64 x (.f64 z (/.f64 z (.f64 x (/.f64 x z))))))) (neg.f64 (+.f64 (/.f64 x (/.f64 z (/.f64 x z))) (*.f64 y (-.f64 y (/.f64 x z))))))
(/.f64 (+.f64 (neg.f64 (*.f64 y y)) (/.f64 x (/.f64 z (/.f64 x z)))) (+.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.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 (.f64 y y)) (.f64 z (.f64 z z))))) (.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (.f64 y (.f64 y (.f64 z z))) (.f64 x (-.f64 x (*.f64 y z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (neg.f64 (.f64 z (+.f64 (.f64 x x) (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))))
(/.f64 (.f64 (+.f64 x (.f64 y z)) (-.f64 #s(literal 0 binary64) (-.f64 x (.f64 y z)))) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 x (*.f64 y z))))
(/.f64 (.f64 (+.f64 x (.f64 y z)) (-.f64 #s(literal 0 binary64) (-.f64 x (.f64 y z)))) (neg.f64 (.f64 z (-.f64 x (*.f64 y z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 y (/.f64 x z))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 y z))))
(/.f64 (-.f64 (/.f64 x (/.f64 z (/.f64 x z))) (*.f64 y y)) (-.f64 (/.f64 x z) y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (+.f64 (.f64 x x) (.f64 y (.f64 z (-.f64 (.f64 y z) x)))))
(/.f64 (.f64 (+.f64 y (/.f64 x z)) (-.f64 x (.f64 y z))) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (.f64 x (/.f64 z y)) (.f64 z z)) (*.f64 z (/.f64 z y)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) z) (/.f64 z y))
(/.f64 (+.f64 (.f64 x z) (.f64 y (.f64 z z))) (.f64 z z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 z (.f64 (/.f64 z x) (.f64 y z))) (*.f64 (/.f64 z x) z))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (neg.f64 (.f64 (/.f64 z x) z)))
(/.f64 (+.f64 (/.f64 z y) (.f64 (/.f64 z x) z)) (.f64 (/.f64 z x) (/.f64 z y)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (.f64 y z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) z))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) z)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 z y)))
(/.f64 (+.f64 z (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (.f64 y z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z y)) (.f64 z (-.f64 #s(literal 0 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z 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 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) z) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y z))) (.f64 z (-.f64 #s(literal 0 binary64) z)))
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simplify561.0ms (6.8%)

Memory

44.8MiB live, 589.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 410×	`accelerator-lowering-fma.f32`
8 410×	`accelerator-lowering-fma.f64`
4 328×	`-lowering-.f32`
4 328×	`-lowering-.f64`
3 356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1781
1	776	1752
2	2297	1674
3	7157	1672
0	8078	1627

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

Outputs
(/ 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 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* y (+ 1 (/ x (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* y (+ 1 (/ x (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.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)
(/ (+ 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)
(/ 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 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* y (- 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 #s(literal 0 binary64) (/.f64 (*.f64 x y) 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 #s(literal 0 binary64) (/.f64 (*.f64 x y) 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 #s(literal 0 binary64) (/.f64 (*.f64 x y) 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 #s(literal 0 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))
(* x (- (/ 1 x) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 x z))
(* -1 (/ x z))
(-.f64 #s(literal 0 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 (- (/ 1 z) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x z))
(* -1 (/ x z))
(-.f64 #s(literal 0 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))
(/ (- 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)
(/ (+ 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
(+ 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 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* y (+ 1 (/ x (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* y (+ 1 (/ x (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))))
(/ z x)
(/.f64 z x)
(* z (+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x)))
(/.f64 (-.f64 z (/.f64 (.f64 z (.f64 z y)) x)) x)
(* z (+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (/ y (pow x 2)))) (/ 1 x)))
(.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (-.f64 (/.f64 (/.f64 (.f64 z (.f64 y y)) x) (.f64 x x)) (/.f64 y (.f64 x x))))))
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x)))
(.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z (-.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (-.f64 (/.f64 (.f64 z (.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 y x) (.f64 x x))))) (/.f64 y (.f64 x x))))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))) y)
(- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (/.f64 x (.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) z))) y)) y)
(- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (-.f64 (/.f64 (/.f64 (.f64 x x) z) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (.f64 y (*.f64 y y))))) z)) z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))) y)
(+ (* -1 (/ (- (* -1 (/ (pow x 2) (* (pow y 3) z))) (* -1 (/ x (pow y 2)))) z)) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (/.f64 x (.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) z))) y)) y)
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* (pow y 4) z))) (* -1 (/ (pow x 2) (pow y 3)))) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (-.f64 (/.f64 (/.f64 (.f64 x x) z) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (.f64 y (*.f64 y y))))) z)) z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))) y)
(+ (* x (- (/ x (* (pow y 3) (pow z 2))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (/.f64 x (.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) z))) y)) y)
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 3)))) (/ 1 (* (pow y 3) (pow z 2))))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (.f64 x (-.f64 (/.f64 (/.f64 (.f64 x x) z) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (.f64 y (*.f64 y y))))) z)) z))
(/ z x)
(/.f64 z x)
(/ (+ z (* -1 (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 z (/.f64 (.f64 z (.f64 z y)) x)) x)
(/ (- (+ z (/ (* (pow y 2) (pow z 3)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/.f64 (+.f64 z (/.f64 (.f64 y (-.f64 (/.f64 (.f64 z (.f64 z (.f64 z y))) x) (*.f64 z z))) x)) x)
(/ (- (+ z (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 3)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 z (/.f64 (+.f64 (.f64 z (.f64 z y)) (/.f64 (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) x) (.f64 z (*.f64 z z)))) x)) x)) x)
(/ z x)
(/.f64 z x)
(* -1 (/ (+ (* -1 z) (/ (* y (pow z 2)) x)) x))
(/.f64 (-.f64 z (/.f64 (.f64 z (.f64 z y)) x)) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* (pow y 2) (pow z 3)) x) (* y (pow z 2))) x))) x))
(/.f64 (+.f64 z (/.f64 (.f64 y (-.f64 (/.f64 (.f64 z (.f64 z (.f64 z y))) x) (*.f64 z z))) x)) x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) x) (* (pow y 2) (pow z 3))) x)) (* y (pow z 2))) x))) x))
(/.f64 (-.f64 z (/.f64 (+.f64 (.f64 z (.f64 z y)) (/.f64 (.f64 (.f64 y y) (-.f64 (/.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) x) (.f64 z (*.f64 z z)))) x)) x)) x)
(/ z x)
(/.f64 z x)
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ z x))
(/.f64 (-.f64 z (/.f64 (.f64 z (.f64 z y)) x)) x)
(+ (* y (- (/ (* y (pow z 3)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ z x))
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 z (.f64 y y)))) (.f64 x (.f64 x x))) (/.f64 (-.f64 z (/.f64 (.f64 z (.f64 z y)) x)) x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 4))) (* -1 (/ (pow z 3) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ z x))
(+.f64 (.f64 y (.f64 y (-.f64 (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 (.f64 y (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (-.f64 z (/.f64 (.f64 z (*.f64 z y)) x)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x (* y z)))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))) y)
(/ (- (+ 1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ x (* y z))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (/.f64 x (.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) z))) y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (* (pow y 3) (pow z 3))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ x (* y z)))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x z) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 x x) (.f64 z (.f64 z (.f64 z y)))) (/.f64 x (.f64 z z)))) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x (* y z)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 2))) (/ x z)) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 (/.f64 x (.f64 z (*.f64 z y))) (/.f64 #s(literal -1 binary64) z))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 3))) (/ (pow x 2) (pow z 2))) y)) (/ x z)) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x z) (/.f64 (.f64 x (-.f64 (/.f64 (.f64 x x) (.f64 z (.f64 z (.f64 z y)))) (/.f64 x (.f64 z z)))) y)) y)) 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)
(* 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))
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 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x 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)

eval132.0ms (1.6%)

Memory: 9.2MiB live, 269.3MiB allocated
Compiler: Compiled 17 375 to 1 494 computations (91.4% saved)

prune208.0ms (2.5%)

Memory

-29.7MiB live, 186.3MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 056	2	1 058
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1 057	10	1 067

Accuracy

100.0%

Counts

1 067 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	26.4%	(/.f64 (*.f64 y z) z)
✓	62.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶	40.0%	(/.f64 z (/.f64 z y))
✓	42.7%	(/.f64 x z)
✓	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 z y))))
✓	79.7%	(+.f64 y (/.f64 x z))
▶	42.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	70.1%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.0%	y

Compiler

Compiled 86 to 57 computations (33.7% saved)

simplify238.0ms (2.9%)

Memory

6.0MiB live, 323.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5 062×	`-lowering-.f32`
5 062×	`-lowering-.f64`
3 034×	`/-lowering-/.f32`
3 034×	`/-lowering-/.f64`
2 694×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	15	19
2	23	15
3	33	15
4	67	15
5	171	15
6	822	15
7	1432	15
8	1508	15
9	1539	15
10	1604	15
11	1672	15
12	1765	15
13	1858	15
14	1981	15
15	2104	15
16	2265	15
17	2423	15
18	2621	15
19	2824	15
20	3063	15
21	3310	15
0	8093	15

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

4.8MiB live, 47.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	77.7%	(/.f64 z (/.f64 z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions

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

ival-div: 5.0ms (68.3% of total)

ival-mult: 2.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite161.0ms (2%)

Memory

-9.3MiB live, 232.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 188×	`-lowering-.f32`
2 188×	`-lowering-.f64`
1 742×	`/-lowering-/.f32`
1 742×	`/-lowering-/.f64`
668×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	35	12
2	157	10
3	815	10
0	4241	10

Stop Event

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

Counts

4 → 336

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 x z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 x (pow.f64 z #s(literal -1/2 binary64))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1/4 binary64)) (.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 x (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))
(.f64 (.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))) (.f64 z z))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 z z))) z)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 z) #s(literal -1/2 binary64)) (.f64 (log.f64 z) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))
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(fma.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) #s(literal 0 binary64))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) z) (/.f64 (/.f64 #s(literal -1 binary64) z) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y)) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) y) #s(literal 0 binary64))
(fma.f64 (*.f64 z (/.f64 z y)) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(fma.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z))) (pow.f64 z #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 z (/.f64 y z)) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 y y))) y #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(/.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 (.f64 z y) (.f64 y y))
(/.f64 (.f64 z (-.f64 #s(literal 0 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 z z)))
(/.f64 (.f64 z z) (.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z)) z)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) z) (.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y))) z)
(/.f64 (*.f64 (/.f64 z y) z) z)
(/.f64 (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z y))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z y)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 z y) (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z)))) (/.f64 z y))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 z y) (/.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 3 binary64))) (/.f64 (/.f64 z y) (/.f64 y 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 z (-.f64 #s(literal 0 binary64) z)) (.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 z (/.f64 z y)) z)
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y))))) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z)))) (/.f64 z y))
(/.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 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))) (.f64 z z))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 z z))) z)
(/.f64 (*.f64 (pow.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal -1 binary64) y)) (.f64 z z))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) y)) z)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) (/.f64 y z))) #s(literal -1 binary64)) (/.f64 z y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (/.f64 z (/.f64 y z)) z)
(/.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 z (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) (/.f64 y z)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (/.f64 z y) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) z))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) (.f64 z z))
(.f64 (.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) z) z) (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(.f64 (.f64 z (/.f64 z y)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 z (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y z))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)

simplify9.0ms (0.1%)

Memory

26.0MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	9	204
0	9	204

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

Inputs
(/ 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
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)

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

eval46.0ms (0.6%)

Memory: -9.6MiB live, 107.2MiB allocated
Compiler: Compiled 4 085 to 729 computations (82.2% saved)

prune106.0ms (1.3%)

Memory

-9.9MiB live, 110.3MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	420	0	420
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	420	10	430

Accuracy

100.0%

Counts

430 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	26.4%	(/.f64 (*.f64 y z) z)
✓	62.3%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓	40.0%	(/.f64 z (/.f64 z y))
✓	42.7%	(/.f64 x z)
✓	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x (*.f64 z y))))
✓	79.7%	(+.f64 y (/.f64 x z))
✓	42.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	70.1%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓	39.0%	y

Compiler

Compiled 177 to 90 computations (49.2% saved)

regimes20.0ms (0.2%)

Memory

3.4MiB live, 41.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-12.0MiB live, 26.3MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
88.9%	3	`x`
99.7%	3	`y`
90.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
79.7%	1	`x`
79.7%	1	`z`
79.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-17.4MiB live, 20.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
68.3%	3	`y`
64.7%	3	`x`
60.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
y
(/.f64 x z)

Outputs
y
(/.f64 x z)
y

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
39.0%	1	`z`
39.0%	1	`x`
39.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch127.0ms (1.6%)

Memory

-16.4MiB live, 24.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.005328365426066365	0.373692844298212
117.0ms	-3894.190306520474	-4.98139516145757e-7

Samples

13.0ms

272×

valid

Compiler

Compiled 355 to 251 computations (29.3% saved)

Precisions

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

ival-sub: 2.0ms (30.4% of total)

ival-div: 2.0ms (30.4% of total)

ival-mult: 2.0ms (30.4% of total)

ival-add: 1.0ms (15.2% of total)

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

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

bsearch21.0ms (0.3%)

Memory

29.4MiB live, 29.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.005328365426066365	0.373692844298212
10.0ms	-3.094653754374857e+36	-1.0439457460836998e+33

Samples

11.0ms

240×

valid

Compiler

Compiled 255 to 178 computations (30.2% saved)

Precisions

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

ival-div: 2.0ms (35.2% of total)

ival-sub: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

ival-mult: 1.0ms (17.6% of total)

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

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

bsearch26.0ms (0.3%)

Memory

-27.8MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.005328365426066365	0.373692844298212
14.0ms	-2.7619055814202646e+103	-9.879408096256585e+91

Samples

14.0ms

272×

valid

Compiler

Compiled 219 to 166 computations (24.2% saved)

Precisions

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

ival-sub: 2.0ms (29.6% of total)

ival-div: 2.0ms (29.6% of total)

ival-mult: 2.0ms (29.6% of total)

ival-add: 1.0ms (14.8% of total)

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

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

simplify10.0ms (0.1%)

Memory

22.9MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-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	31	66
1	52	66
2	62	66
3	70	66
4	76	66
5	78	66

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 3332663724254167/9007199254740992 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -1050000000000000029323105381908480 binary64)) (.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 binary64)) (/.f64 x z) (.f64 z (/.f64 y z))))
(if (<=.f64 y #s(literal -77999999999999998909222835890398722549860018610550506869406148087865716920754080587659923643432960 binary64)) y (if (<=.f64 y #s(literal 3458764513820541/72057594037927936 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 3332663724254167/9007199254740992 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -1050000000000000029323105381908480 binary64)) (.f64 z (/.f64 y z)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 binary64)) (/.f64 x z) (.f64 z (/.f64 y z))))
(if (<=.f64 y #s(literal -77999999999999998909222835890398722549860018610550506869406148087865716920754080587659923643432960 binary64)) y (if (<=.f64 y #s(literal 3458764513820541/72057594037927936 binary64)) (/.f64 x z) y))
y

soundness941.0ms (11.5%)

Memory

-47.8MiB live, 540.3MiB allocated

Rules

9 188×	`accelerator-lowering-fma.f32`
9 188×	`accelerator-lowering-fma.f64`
7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
6 448×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	3215
1	1232	3033
2	4337	3006
0	9332	2926
0	17	74
1	110	68
2	915	68
0	8778	64
0	106	910
1	346	796
2	1046	742
3	3275	742
4	5764	742
5	7665	742
0	8063	688

Stop Event

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

Compiler

Compiled 150 to 81 computations (46% saved)

preprocess67.0ms (0.8%)

Memory: 1.6MiB live, 117.1MiB allocated
Compiler: Compiled 210 to 92 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (1%)

sample762.0ms (9.3%)

preprocess606.0ms (7.4%)

explain138.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify415.0ms (5%)

localize27.0ms (0.3%)

series10.0ms (0.1%)

rewrite463.0ms (5.6%)

simplify246.0ms (3%)

eval101.0ms (1.2%)

prune101.0ms (1.2%)

simplify242.0ms (3%)

localize88.0ms (1.1%)

series42.0ms (0.5%)

rewrite379.0ms (4.6%)

simplify829.0ms (10.1%)

eval155.0ms (1.9%)

prune146.0ms (1.8%)

simplify221.0ms (2.7%)

localize51.0ms (0.6%)

series13.0ms (0.2%)

rewrite340.0ms (4.1%)

simplify561.0ms (6.8%)

eval132.0ms (1.6%)

prune208.0ms (2.5%)

simplify238.0ms (2.9%)

localize40.0ms (0.5%)

series2.0ms (0%)

rewrite161.0ms (2%)

simplify9.0ms (0.1%)

eval46.0ms (0.6%)

prune106.0ms (1.3%)

regimes20.0ms (0.2%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch127.0ms (1.6%)

bsearch21.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify10.0ms (0.1%)

soundness941.0ms (11.5%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling