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

analyze40.0ms (0.3%)

Memory

30.7MiB live, 69.1MiB 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)

sample723.0ms (6.3%)

Memory

7.1MiB live, 922.3MiB allocated

Samples

499.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-sub: 110.0ms (39.1% of total)

ival-div: 59.0ms (21% of total)

ival-mult: 57.0ms (20.3% of total)

ival-add: 48.0ms (17.1% of total)

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

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

Bogosity

preprocess622.0ms (5.4%)

Memory

-12.0MiB live, 417.9MiB 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)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)

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)))

explain125.0ms (1.1%)

Memory

22.4MiB live, 140.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(/.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	24	0
↳	`(+.f64 x (*.f64 y (-.f64 z x)))`	overflow	41
↳	`(*.f64 y (-.f64 z x))`	overflow	41

Confusion

	Predicted +	Predicted -
+	24	0
-	0	232

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

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

ival-div: 4.0ms (31.6% of total)

ival-sub: 3.0ms (23.7% of total)

ival-mult: 3.0ms (23.7% of total)

ival-add: 2.0ms (15.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify418.0ms (3.7%)

Memory

-24.8MiB live, 336.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y (-.f64 z x))
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓	cost-diff	192	(+.f64 x (*.f64 y (-.f64 z x)))

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

localize23.0ms (0.2%)

Memory

2.4MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	91.2%	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Samples

16.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-add: 3.0ms (35.8% of total)

ival-div: 2.0ms (23.9% of total)

ival-mult: 2.0ms (23.9% of total)

ival-sub: 1.0ms (11.9% of total)

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

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

series8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

4 → 132

Calls

Call 1

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

Outputs
#<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>
#<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 (* -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)))))>
#<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

33 calls:

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

rewrite669.0ms (5.9%)

Memory

8.3MiB live, 707.8MiB 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)))
(/ (+ x (* y (- z x))) z)
(- z x)
(* y (- z x))

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

simplify473.0ms (4.1%)

Memory

-27.4MiB live, 383.6MiB 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	3277	742
4	5772	742
5	7672	742
0	8070	688

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

eval57.0ms (0.5%)

Memory: 26.6MiB live, 140.7MiB allocated
Compiler: Compiled 13 833 to 1 318 computations (90.5% saved)

prune98.0ms (0.9%)

Memory

-3.0MiB live, 152.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	496	9	505
Fresh	0	0	0
Picked	1	0	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
▶	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
▶	91.1%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
▶	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x)) z)
▶	30.3%	(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
	71.9%	(/.f64 (+.f64 x (*.f64 y z)) z)
	43.5%	(/.f64 x z)
	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
	91.0%	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 #s(literal 1 binary64) z))
▶	37.3%	y

Compiler

Compiled 182 to 112 computations (38.5% saved)

simplify296.0ms (2.6%)

Memory

-20.8MiB live, 409.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 0 binary64) x) x)
✓	cost-diff	0	(/.f64 (fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x)) z)
✓	cost-diff	384	(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(fma.f64 (-.f64 z x) y x)
✓	cost-diff	0	(/.f64 (fma.f64 (-.f64 z x) y x) z)
✓	cost-diff	0	(fma.f64 y z #s(literal 0 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)

Rules

6 834×	`accelerator-lowering-fma.f32`
6 834×	`accelerator-lowering-fma.f64`
3 126×	`-lowering-.f32`
3 126×	`-lowering-.f64`
2 236×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	77
1	45	77
2	91	76
3	173	76
4	280	76
5	730	76
6	2073	76
7	5783	76
0	8183	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- 1 y) (/ x z)) y)
(- 1 y)
1
y
(/ x z)
x
z
y
(/ (+ (* y z) 0) z)
(+ (* y z) 0)
y
z
0
(/ (+ (* (- z x) y) x) z)
(+ (* (- z x) y) x)
(- z x)
z
x
y
(/ (+ (* z y) (+ (* y (- 0 x)) x)) z)
(+ (* z y) (+ (* y (- 0 x)) x))
z
y
(+ (* y (- 0 x)) x)
(- 0 x)
0
x

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

localize186.0ms (1.6%)

Memory

-7.1MiB live, 108.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 0 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x)) z)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(fma.f64 (-.f64 z x) y x)
✓	accuracy	91.2%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
✓	accuracy	100.0%	(fma.f64 y z #s(literal 0 binary64))
✓	accuracy	77.6%	(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)

Samples

71.0ms

256×

valid

Compiler

Compiled 87 to 24 computations (72.4% saved)

Precisions

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

ival-sub: 9.0ms (31% of total)

ival-div: 7.0ms (24.1% of total)

ival-mult: 7.0ms (24.1% of total)

ival-add: 5.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-3.4MiB live, 34.8MiB allocated

Counts

12 → 324

Calls

Call 1

Inputs
#<alt (+ (* (- 1 y) (/ x z)) y)>
#<alt (- 1 y)>
#<alt (/ x z)>
#<alt (/ (+ (* y z) 0) z)>
#<alt (+ (* y z) 0)>
#<alt (/ (+ (* (- z x) y) x) z)>
#<alt (+ (* (- z x) y) x)>
#<alt (- z x)>
#<alt (+ (* z y) (+ (* y (- 0 x)) x))>
#<alt (/ (+ (* z y) (+ (* y (- 0 x)) x)) z)>
#<alt (+ (* y (- 0 x)) x)>
#<alt (- 0 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 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 (* 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 (+ 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)>
#<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 (* -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)))))>
#<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 x>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x 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 (* -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 (/ 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 (+ z (* -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 (* -1 z))) z))>
#<alt (* -1 (* y (+ -1 (+ (* -1 (/ x (* y z))) (/ x z)))))>
#<alt (* -1 (* y (+ -1 (+ (* -1 (/ x (* y z))) (/ x z)))))>
#<alt (* -1 (* y (+ -1 (+ (* -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>
#<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 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

81 calls:

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

rewrite570.0ms (5%)

Memory

18.0MiB live, 1 014.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 870×	`accelerator-lowering-fma.f32`
5 870×	`accelerator-lowering-fma.f64`
5 068×	`/-lowering-/.f32`
5 068×	`/-lowering-/.f64`
5 034×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	161	66
2	1559	66
0	8999	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 274

Calls

Call 1

Inputs
(+ (* (- 1 y) (/ x z)) y)
(- 1 y)
(/ x z)
(/ (+ (* y z) 0) z)
(+ (* y z) 0)
(/ (+ (* (- z x) y) x) z)
(+ (* (- z x) y) x)
(- z x)
(+ (* z y) (+ (* y (- 0 x)) x))
(/ (+ (* z y) (+ (* y (- 0 x)) x)) z)
(+ (* y (- 0 x)) x)
(- 0 x)

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

simplify306.0ms (2.7%)

Memory

25.3MiB live, 454.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 076×	`accelerator-lowering-fma.f32`
8 076×	`accelerator-lowering-fma.f64`
3 066×	`-lowering-.f32`
3 066×	`-lowering-.f64`
1 286×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1890
1	499	1701
2	1435	1701
3	4053	1701
4	6441	1701
0	8349	1566

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

Outputs
(/ x z)
(/.f64 x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 (/ x z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* y (- (/ x z) 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
y
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* x (- (/ 1 z) (/ y z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(/ (+ (* x (- 1 y)) (* y z)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
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eval247.0ms (2.2%)

Memory: -11.1MiB live, 459.9MiB allocated
Compiler: Compiled 53 793 to 2 754 computations (94.9% saved)

prune189.0ms (1.7%)

Memory

-12.6MiB live, 366.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 593	5	1 598
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 597	10	1 607

Accuracy

100.0%

Counts

1 607 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
▶	97.7%	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) z) y)
▶	78.8%	(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
✓	91.1%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (neg.f64 x) x)) z)
▶	30.3%	(/.f64 (*.f64 z y) z)
▶	43.5%	(/.f64 x z)
	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
▶	33.3%	(*.f64 z (/.f64 y z))
✓	37.3%	y

Compiler

Compiled 166 to 102 computations (38.6% saved)

simplify637.0ms (5.6%)

Memory

16.8MiB live, 513.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	192	(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
✓	cost-diff	-64	(*.f64 z y)
✓	cost-diff	1088	(/.f64 (*.f64 z y) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	1024	(*.f64 z (/.f64 y z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	-64	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	384	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) z) y)

Rules

11 028×	`accelerator-lowering-fma.f32`
11 028×	`accelerator-lowering-fma.f64`
3 840×	`-lowering-.f32`
3 840×	`-lowering-.f64`
1 494×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	34	53
2	62	53
3	133	53
4	292	53
5	614	53
6	1439	53
7	3545	53
8	5550	53
9	7843	53
0	8212	52

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize104.0ms (0.9%)

Memory

20.7MiB live, 105.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	77.6%	(/.f64 (*.f64 z y) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	76.9%	(*.f64 z (/.f64 y z))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	97.7%	(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) z) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 13.0ms (53% of total)

ival-mult: 7.0ms (28.5% of total)

ival-sub: 2.0ms (8.2% of total)

ival-add: 2.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-14.7MiB live, 20.9MiB allocated

Counts

10 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(+ (* (* (- 1 y) x) (/ 1 z)) y)
0.0ms	x	@	inf	(* (- 1 y) x)
0.0ms	y	@	0	(/ y z)
0.0ms	z	@	-inf	(/ 1 z)
0.0ms	x	@	-inf	(* (- 1 y) x)

rewrite934.0ms (8.2%)

Memory

-142.8MiB live, 888.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 354×	`accelerator-lowering-fma.f32`
7 354×	`accelerator-lowering-fma.f64`
4 678×	`-lowering-.f32`
4 678×	`-lowering-.f64`
3 382×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	89	44
2	689	36
3	7248	36
0	8012	35

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 501

Calls

Call 1

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

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

simplify550.0ms (4.8%)

Memory

-20.8MiB live, 735.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 518×	`accelerator-lowering-fma.f32`
15 518×	`accelerator-lowering-fma.f64`
4 604×	`-lowering-.f32`
4 604×	`-lowering-.f64`
2 538×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	989
1	214	942
2	573	894
3	1576	891
4	3664	888
5	5430	888
6	6563	888
7	7064	888
8	7105	888
9	7157	888
0	9193	858

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

eval90.0ms (0.8%)

Memory: 21.8MiB live, 173.3MiB allocated
Compiler: Compiled 12 412 to 1 191 computations (90.4% saved)

prune95.0ms (0.8%)

Memory

-13.8MiB live, 140.2MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	790	3	793
Fresh	0	2	2
Picked	2	3	5
Done	0	3	3
Total	792	11	803

Accuracy

100.0%

Counts

803 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.4%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
✓	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
✓	91.1%	(/.f64 (fma.f64 (-.f64 z x) y x) z)
▶	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (neg.f64 x) x)) z)
✓	30.3%	(/.f64 (*.f64 z y) z)
✓	43.5%	(/.f64 x z)
▶	91.0%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
▶	78.8%	(+.f64 (/.f64 x z) y)
▶	43.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	33.3%	(*.f64 z (/.f64 y z))
✓	37.3%	y

Compiler

Compiled 154 to 96 computations (37.7% saved)

simplify534.0ms (4.7%)

Memory

0.8MiB live, 600.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(fma.f64 y (-.f64 z x) x)
✓	cost-diff	0	(/.f64 z (fma.f64 y (-.f64 z x) x))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) x)
✓	cost-diff	0	(/.f64 (fma.f64 z y (fma.f64 y (neg.f64 x) x)) z)
✓	cost-diff	384	(fma.f64 z y (fma.f64 y (neg.f64 x) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(+.f64 (/.f64 x z) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)

Rules

14 272×	`accelerator-lowering-fma.f32`
14 272×	`accelerator-lowering-fma.f64`
2 612×	`-lowering-.f32`
2 612×	`-lowering-.f64`
1 710×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	106
1	52	99
2	98	99
3	260	99
4	544	99
5	955	99
6	1968	99
7	3675	99
8	5026	99
9	5638	99
10	5808	99
11	5917	99
12	6051	99
13	6622	99
14	6704	99
15	6915	99
16	6999	99
17	7125	99
18	7527	99
19	7527	99
0	8005	93

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize99.0ms (0.9%)

Memory

-0.6MiB live, 115.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(fma.f64 y (-.f64 z x) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
✓	accuracy	91.1%	(/.f64 z (fma.f64 y (-.f64 z x) x))
✓	accuracy	100.0%	(fma.f64 z y (fma.f64 y (neg.f64 x) x))
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (neg.f64 x) x)) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	95.4%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)

Samples

71.0ms

256×

valid

Compiler

Compiled 103 to 25 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sub: 29.0ms (52.3% of total)

ival-div: 10.0ms (18% of total)

ival-mult: 10.0ms (18% of total)

ival-add: 5.0ms (9% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-11.6MiB live, 26.8MiB allocated

Counts

15 → 408

Calls

Call 1

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

102 calls:

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

rewrite490.0ms (4.3%)

Memory

26.8MiB live, 838.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 556×	`accelerator-lowering-fma.f32`
5 556×	`accelerator-lowering-fma.f64`
4 654×	`/-lowering-/.f32`
4 654×	`/-lowering-/.f64`
3 976×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
1	161	82
2	1451	82
0	8639	76

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 931

Calls

Call 1

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

Outputs
(+.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y)
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z))) (/.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)) (-.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))))
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (/.f64 x #s(literal 1 binary64)) y)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) z) y)
(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 x (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) y)
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) z) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) y)
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) y)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) z) y)
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x z) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)) z)) (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))))
(/.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (.f64 z (.f64 z z)))) (fma.f64 y (-.f64 y (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 z z))))
(/.f64 (fma.f64 y (.f64 y y) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x))) (.f64 z (.f64 z z)))) (fma.f64 y y (/.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) z) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) z)))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (.f64 z z)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (-.f64 #s(literal 0 binary64) y)))
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simplify612.0ms (5.4%)

Memory

-7.8MiB live, 714.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 562×	`accelerator-lowering-fma.f32`
6 562×	`accelerator-lowering-fma.f64`
5 746×	`-lowering-.f32`
5 746×	`-lowering-.f64`
2 200×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	3595
1	1331	3386
2	4563	3359
0	8188	3217

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

eval168.0ms (1.5%)

Memory: 14.1MiB live, 384.8MiB allocated
Compiler: Compiled 29 043 to 2 541 computations (91.3% saved)

prune154.0ms (1.3%)

Memory

-10.7MiB live, 308.5MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 335	4	1 339
Fresh	0	0	0
Picked	1	4	5
Done	2	4	6
Total	1 338	12	1 350

Accuracy

100.0%

Counts

1 350 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.4%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)
✓	91.2%	(/.f64 (fma.f64 z y (fma.f64 y (neg.f64 x) x)) z)
✓	30.3%	(/.f64 (*.f64 z y) z)
	55.6%	(/.f64 (*.f64 y (-.f64 z x)) z)
✓	43.5%	(/.f64 x z)
	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (-.f64 z x))))
✓	78.8%	(+.f64 (/.f64 x z) y)
✓	43.4%	(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓	33.3%	(*.f64 z (/.f64 y z))
	67.0%	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
	62.2%	(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	37.3%	y

Compiler

Compiled 268 to 119 computations (55.6% saved)

regimes29.0ms (0.3%)

Memory

-8.2MiB live, 68.5MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
7.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
7.0ms	z
6.0ms	y

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory

-12.6MiB live, 46.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
91.1%	1	`x`
99.9%	3	`y`
96.2%	3	`z`
93.5%	2	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes5.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.3%)

Memory

-5.8MiB live, 32.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
86.8%	3	`x`
81.5%	2	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
87.3%	3	`z`
83.6%	3	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes33.0ms (0.3%)

Memory

-10.3MiB live, 29.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
78.8%	1	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
78.8%	1	`y`
78.8%	1	`x`
78.8%	1	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
y
(/.f64 x z)

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

Calls

4 calls:

2.0ms	y
2.0ms	z
1.0ms	x
1.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

Results

Accuracy	Segments	Branch
64.8%	3	`x`
59.0%	3	`z`
52.8%	5	`(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)`
62.1%	3	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory

-24.4MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

4 calls:

22.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
1.0ms	y
1.0ms	x
1.0ms	z

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch17.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
10.0ms	20928482561605.79	179050363967173100.0
5.0ms	-2029587695957098800.0	-9317408158611306.0

Samples

9.0ms

192×

valid

Compiler

Compiled 291 to 193 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (21.9% of total)

ival-div: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

ival-mult: 1.0ms (21.9% of total)

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

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

bsearch40.0ms (0.4%)

Memory

-10.8MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.2433391629562155e-6	20928482561605.79
7.0ms	-4.078396734646118	-0.3431575012971478

Samples

30.0ms

256×

valid

Compiler

Compiled 335 to 237 computations (29.3% saved)

Precisions

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

ival-div: 2.0ms (32.4% of total)

ival-mult: 2.0ms (32.4% of total)

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

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

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

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

bsearch36.0ms (0.3%)

Memory

-6.9MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.1169664810694405e-86	5.6389572740125244e-83
10.0ms	-7.550990016134137e-27	-1.9419164350453747e-31

Samples

26.0ms

256×

valid

Compiler

Compiled 335 to 237 computations (29.3% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

ival-mult: 2.0ms (32.8% of total)

ival-sub: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

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

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

bsearch23.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2286122265490954e+33	1.7522826083272298e+36
11.0ms	-3.2832353426710057e+61	-2.5320749471012317e+56

Samples

13.0ms

272×

valid

Compiler

Compiled 219 to 166 computations (24.2% saved)

Precisions

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

ival-div: 2.0ms (30.8% of total)

ival-mult: 2.0ms (30.8% of total)

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

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

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

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

simplify105.0ms (0.9%)

Memory

-10.7MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	93
1	62	93
2	74	93
3	82	93
4	87	93
5	88	93

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(if (<=.f64 y #s(literal -50000000000000000 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 5000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) y) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 z #s(literal -2740315569995443/11417981541647679048466287755595961091061972992 binary64)) (+.f64 (/.f64 x z) y) (if (<=.f64 z #s(literal 7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 (/.f64 x z) y)))
(+.f64 (/.f64 x z) y)
(if (<=.f64 x #s(literal -5699999999999999805169801027150524736142793307899555741696 binary64)) (/.f64 x z) (if (<=.f64 x #s(literal 1649999999999999881376093513449472 binary64)) y (/.f64 x z)))
y

Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(if (<=.f64 y #s(literal -50000000000000000 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 5000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 (/.f64 x z) y) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 y (/.f64 x z)) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 z #s(literal -2740315569995443/11417981541647679048466287755595961091061972992 binary64)) (+.f64 (/.f64 x z) y) (if (<=.f64 z #s(literal 7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 (/.f64 x z) y)))
(if (<=.f64 z #s(literal -2740315569995443/11417981541647679048466287755595961091061972992 binary64)) (+.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 y (/.f64 x z))))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(if (<=.f64 x #s(literal -5699999999999999805169801027150524736142793307899555741696 binary64)) (/.f64 x z) (if (<=.f64 x #s(literal 1649999999999999881376093513449472 binary64)) y (/.f64 x z)))
y

soundness1.4s (12.1%)

Memory

0.0MiB live, 899.5MiB allocated

Rules

8 076×	`accelerator-lowering-fma.f32`
8 076×	`accelerator-lowering-fma.f64`
7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
7 354×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1890
1	499	1701
2	1435	1701
3	4053	1701
4	6441	1701
0	8349	1566
0	22	66
1	161	66
2	1559	66
0	8999	60
0	409	3595
1	1331	3386
2	4563	3359
0	8188	3217
0	7	24
1	42	24
2	348	24
3	4562	24
0	9107	22
0	106	910
1	346	796
2	1046	742
3	3277	742
4	5772	742
5	7672	742
0	8070	688
0	16	44
1	89	44
2	689	36
3	7248	36
0	8012	35

Stop Event

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

Compiler

Compiled 313 to 174 computations (44.4% saved)

preprocess89.0ms (0.8%)

Memory: 29.2MiB live, 238.5MiB allocated
Compiler: Compiled 280 to 106 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (0.3%)

sample723.0ms (6.3%)

preprocess622.0ms (5.4%)

explain125.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify418.0ms (3.7%)

localize23.0ms (0.2%)

series8.0ms (0.1%)

rewrite669.0ms (5.9%)

simplify473.0ms (4.1%)

eval57.0ms (0.5%)

prune98.0ms (0.9%)

simplify296.0ms (2.6%)

localize186.0ms (1.6%)

series23.0ms (0.2%)

rewrite570.0ms (5%)

simplify306.0ms (2.7%)

eval247.0ms (2.2%)

prune189.0ms (1.7%)

simplify637.0ms (5.6%)

localize104.0ms (0.9%)

series13.0ms (0.1%)

rewrite934.0ms (8.2%)

simplify550.0ms (4.8%)

eval90.0ms (0.8%)

prune95.0ms (0.8%)

simplify534.0ms (4.7%)

localize99.0ms (0.9%)

series14.0ms (0.1%)

rewrite490.0ms (4.3%)

simplify612.0ms (5.4%)

eval168.0ms (1.5%)

prune154.0ms (1.3%)

regimes29.0ms (0.3%)

regimes23.0ms (0.2%)

regimes5.0ms (0%)

regimes33.0ms (0.3%)

regimes33.0ms (0.3%)

regimes6.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch17.0ms (0.1%)

bsearch40.0ms (0.4%)

bsearch36.0ms (0.3%)

bsearch23.0ms (0.2%)

simplify105.0ms (0.9%)

soundness1.4s (12.1%)

preprocess89.0ms (0.8%)

end0.0ms (0%)

Profiling