Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze13.0ms (0.2%)

Memory

-15.1MiB live, 27.1MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample929.0ms (12.7%)

Memory

-3.4MiB live, 1 026.7MiB allocated

Samples

738.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 61.0ms (35.5% of total)

ival-div: 53.0ms (30.8% of total)

ival-add: 43.0ms (25% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess48.0ms (0.7%)

Memory

21.9MiB live, 60.1MiB allocated

Algorithm

2×	egg-herbie

Rules

486×	`times-frac`
304×	`unsub-neg`
238×	`distribute-lft-in`
228×	`distribute-rgt-in`
218×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	52	44
2	145	42
3	439	42
4	1172	42
5	1648	42
6	1864	42
7	1920	42
8	1948	42
9	1952	42
0	6	7
1	12	7
2	15	7
3	16	7
0	16	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain66.0ms (0.9%)

Memory

-30.0MiB live, 142.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	26	0
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	26	0
-	0	230

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	0
-	0	0	230

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (38.6% of total)

ival-div: 3.0ms (29% of total)

ival-add: 3.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	12	16
2	15	16
3	16	16
0	16	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

3.9MiB live, 44.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (38.9% of total)

ival-mult: 2.0ms (38.9% of total)

ival-add: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite426.0ms (5.8%)

Memory

-10.3MiB live, 661.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 518×	`/-lowering-/.f32`
5 518×	`/-lowering-/.f64`
3 256×	`-lowering-.f32`
3 256×	`-lowering-.f64`
2 620×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	32	13
2	200	13
3	1890	13
0	8401	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 336

Calls

Call 1

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

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

simplify312.0ms (4.3%)

Memory

-11.5MiB live, 507.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`accelerator-lowering-fma.f32`
9 976×	`accelerator-lowering-fma.f64`
2 536×	`-lowering-.f32`
2 536×	`-lowering-.f64`
1 658×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval45.0ms (0.6%)

Memory: 22.8MiB live, 137.3MiB allocated
Compiler: Compiled 8 476 to 1 039 computations (87.7% saved)

prune53.0ms (0.7%)

Memory

-7.6MiB live, 149.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	390	6	396
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	390	7	397

Accuracy

100.0%

Counts

397 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
▶	55.5%	(fma.f64 x y #s(literal 0 binary64))
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	45.1%	(-.f64 x (/.f64 x y))
▶	91.7%	(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
	90.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
▶	45.8%	x

Compiler

Compiled 103 to 66 computations (35.9% saved)

simplify72.0ms (1%)

Memory

25.3MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

800×	`accelerator-lowering-fma.f32`
800×	`accelerator-lowering-fma.f64`
536×	`-lowering-.f32`
536×	`-lowering-.f64`
248×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	27	52
2	60	52
3	131	52
4	234	52
5	396	52
6	669	52
7	1035	52
8	1492	52
9	1621	52
10	1758	52
11	1763	52
12	1766	52
13	1767	52
0	1767	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (0.8%)

Memory

-16.6MiB live, 136.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	100.0%	(fma.f64 x y #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	91.7%	(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

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

ival-mult: 10.0ms (39.9% of total)

ival-sub: 7.0ms (27.9% of total)

ival-div: 4.0ms (16% of total)

ival-add: 4.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-36.8MiB live, 32.9MiB allocated

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (* (+ (* x y) 0) (- 1 y)) 0)
1.0ms	x	@	0	(+ (* (+ (* x y) 0) (- 1 y)) 0)
0.0ms	x	@	inf	(- x (/ x y))
0.0ms	y	@	-inf	(+ (* (+ (* x y) 0) (- 1 y)) 0)
0.0ms	x	@	0	(/ x (+ y 1))

rewrite495.0ms (6.8%)

Memory

34.8MiB live, 1 021.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 440×	`accelerator-lowering-fma.f32`
13 440×	`accelerator-lowering-fma.f64`
5 644×	`-lowering-.f32`
5 644×	`-lowering-.f64`
3 392×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	94	36
2	955	36
0	8623	36

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 182

Calls

Call 1

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

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

simplify390.0ms (5.3%)

Memory

22.0MiB live, 657.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 198×	`accelerator-lowering-fma.f32`
15 198×	`accelerator-lowering-fma.f64`
2 826×	`-lowering-.f32`
2 826×	`-lowering-.f64`
1 778×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	899
1	241	831
2	542	815
3	1877	811
4	5820	811
5	7311	811
0	8122	807

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval205.0ms (2.8%)

Memory: -0.9MiB live, 312.7MiB allocated
Compiler: Compiled 37 327 to 2 345 computations (93.7% saved)

prune361.0ms (4.9%)

Memory

6.1MiB live, 244.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 561	3	1 564
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1 563	8	1 571

Accuracy

100.0%

Counts

1 571 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	45.1%	(-.f64 x (/.f64 x y))
✓	91.7%	(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
▶	90.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
▶	55.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
▶	55.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	55.5%	(*.f64 y x)
✓	45.8%	x

Compiler

Compiled 62 to 40 computations (35.5% saved)

simplify62.0ms (0.8%)

Memory

-18.4MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

640×	`accelerator-lowering-fma.f32`
640×	`accelerator-lowering-fma.f64`
440×	`-lowering-.f32`
440×	`-lowering-.f64`
296×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	29	62
2	60	62
3	114	62
4	215	62
5	318	62
6	431	62
7	676	62
8	863	62
9	1025	62
10	1263	62
11	1452	62
12	1454	62
13	1456	62
14	1459	62
15	1460	62
0	1460	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize60.0ms (0.8%)

Memory

-0.9MiB live, 37.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	90.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
✓	accuracy	94.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	accuracy	100.0%	(*.f64 y x)

Samples

26.0ms

256×

valid

Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions

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

ival-mult: 10.0ms (67.5% of total)

ival-div: 2.0ms (13.5% of total)

ival-sub: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite722.0ms (9.9%)

Memory

-3.4MiB live, 333.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 464×	`-lowering-.f32`
5 464×	`-lowering-.f64`
3 496×	`/-lowering-/.f32`
3 496×	`/-lowering-/.f64`
2 688×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	58	48
2	339	48
3	3467	48
0	11421	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1 280

Calls

Call 1

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

Outputs
(*.f64 y x)
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (*.f64 y y)))
(+.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 y y)) (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) y) (.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (exp.f64 (log1p.f64 (.f64 y (*.f64 y y)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (fma.f64 y y y)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 y y #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 y #s(literal -1 binary64))))))
(*.f64 y x)
(*.f64 x y)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))

simplify656.0ms (9%)

Memory

17.5MiB live, 327.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 358×	`accelerator-lowering-fma.f32`
13 358×	`accelerator-lowering-fma.f64`
2 928×	`-lowering-.f32`
2 928×	`-lowering-.f64`
1 682×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1064
1	274	984
2	599	972
3	1895	964
4	5971	964
0	8010	960

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval654.0ms (9%)

Memory: -5.1MiB live, 541.0MiB allocated
Compiler: Compiled 50 967 to 4 333 computations (91.5% saved)

prune564.0ms (7.7%)

Memory

-7.9MiB live, 645.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 865	0	1 865
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	1 865	8	1 873

Accuracy

100.0%

Counts

1 873 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	45.1%	(-.f64 x (/.f64 x y))
✓	91.7%	(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
✓	90.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 x y))
✓	55.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓	55.0%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	55.5%	(*.f64 y x)
✓	45.8%	x

Compiler

Compiled 123 to 61 computations (50.4% saved)

regimes13.0ms (0.2%)

Memory

1.8MiB live, 43.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
100.0%	3	`y`
99.9%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory

-9.3MiB live, 29.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`y`
91.7%	1	`x`
91.7%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

-32.3MiB live, 7.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)
(fma.f64 x y #s(literal 0 binary64))

Outputs
x
(*.f64 y x)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.8%	1	`x`
45.8%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
45.8%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.106449530402972e+226	2.104968457627693e+232

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch24.0ms (0.3%)

Memory

-9.1MiB live, 71.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3163683894.026759	2.6473756877484406e+21
10.0ms	-7720410904395.644	-363242234.8079351

Samples

13.0ms

288×

valid

Compiler

Compiled 296 to 207 computations (30.1% saved)

Precisions

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

ival-div: 2.0ms (34.3% of total)

ival-mult: 2.0ms (34.3% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Memory

11.6MiB live, 50.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.010596707753008344	14.88332223928426
10.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

11.0ms

272×

valid

Compiler

Compiled 318 to 215 computations (32.4% saved)

Precisions

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

ival-div: 2.0ms (36.5% of total)

ival-mult: 2.0ms (36.5% of total)

ival-add: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-12.1MiB live, 66.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.010596707753008344	14.88332223928426
11.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

12.0ms

272×

valid

Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions

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

ival-div: 2.0ms (35.8% of total)

ival-mult: 2.0ms (35.8% of total)

ival-add: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

9.6MiB live, 53.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.010596707753008344	14.88332223928426
10.0ms	-1225280.3644009982	-0.0009521093358666486

Samples

13.0ms

272×

valid

Compiler

Compiled 182 to 130 computations (28.6% saved)

Precisions

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

ival-add: 3.0ms (39.6% of total)

ival-div: 2.0ms (26.4% of total)

ival-mult: 2.0ms (26.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Memory

-4.7MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	91
1	53	91
2	62	91
3	68	91
4	72	91
5	73	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y) x))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) x))
x

Outputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y) x))
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) x))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 y (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (.f64 y (.f64 x (-.f64 #s(literal 1 binary64) y))) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness830.0ms (11.4%)

Memory

6.9MiB live, 519.3MiB allocated

Rules

13 440×	`accelerator-lowering-fma.f32`
13 440×	`accelerator-lowering-fma.f64`
9 976×	`accelerator-lowering-fma.f32`
9 976×	`accelerator-lowering-fma.f64`
5 644×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	94	36
2	955	36
0	8623	36
0	6	13
1	32	13
2	200	13
3	1890	13
0	8401	13
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274

Stop Event

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

Compiler

Compiled 168 to 80 computations (52.4% saved)

preprocess92.0ms (1.3%)

Memory: 1.6MiB live, 173.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 336 to 140 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

sample929.0ms (12.7%)

preprocess48.0ms (0.7%)

explain66.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.3%)

series5.0ms (0.1%)

rewrite426.0ms (5.8%)

simplify312.0ms (4.3%)

eval45.0ms (0.6%)

prune53.0ms (0.7%)

simplify72.0ms (1%)

localize55.0ms (0.8%)

series19.0ms (0.3%)

rewrite495.0ms (6.8%)

simplify390.0ms (5.3%)

eval205.0ms (2.8%)

prune361.0ms (4.9%)

simplify62.0ms (0.8%)

localize60.0ms (0.8%)

series4.0ms (0.1%)

rewrite722.0ms (9.9%)

simplify656.0ms (9%)

eval654.0ms (9%)

prune564.0ms (7.7%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch24.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch23.0ms (0.3%)

simplify11.0ms (0.2%)

soundness830.0ms (11.4%)

preprocess92.0ms (1.3%)

end0.0ms (0%)

Profiling