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

analyze12.0ms (0.1%)

Memory

-11.4MiB live, 27.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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)

sample592.0ms (6.4%)

Memory

32.7MiB live, 974.4MiB allocated

Samples

401.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 70.0ms (37.3% of total)

ival-div: 61.0ms (32.5% of total)

ival-add: 44.0ms (23.4% of total)

ival-true: 5.0ms (2.7% of total)

exact: 5.0ms (2.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess50.0ms (0.5%)

Memory

-2.5MiB live, 39.9MiB 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)

explain71.0ms (0.8%)

Memory

-14.4MiB live, 149.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(/.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	30	0
↳	`(*.f64 x y)`	overflow	30

Confusion

	Predicted +	Predicted -
+	30	0
-	0	226

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	0	0
-	0	0	226

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-add: 7.0ms (43.1% of total)

ival-div: 5.0ms (30.8% of total)

ival-mult: 4.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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 (0.2%)

Memory

10.1MiB live, 48.3MiB 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	89.0%	(/.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: 6.0ms

ival-div: 2.0ms (35.5% of total)

ival-mult: 2.0ms (35.5% of total)

ival-add: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-23.3MiB live, 14.6MiB 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	x	@	inf	(/ (* x y) (+ y 1))
1.0ms	y	@	inf	(+ y 1)
1.0ms	y	@	inf	(/ (* x y) (+ y 1))
0.0ms	x	@	-inf	(/ (* x y) (+ y 1))

rewrite345.0ms (3.7%)

Memory

11.7MiB live, 638.8MiB 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))))

simplify310.0ms (3.4%)

Memory

30.6MiB live, 420.2MiB 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))

eval52.0ms (0.6%)

Memory: 17.8MiB live, 91.9MiB allocated
Compiler: Compiled 8 476 to 1 039 computations (87.7% saved)

prune62.0ms (0.7%)

Memory

-26.9MiB live, 123.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	389	7	396
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	8	397

Accuracy

100.0%

Counts

397 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
	53.5%	(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))
▶	54.1%	(fma.f64 x y #s(literal 0 binary64))
✓	89.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
	90.6%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
▶	47.1%	(-.f64 x (/.f64 x y))
▶	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	48.4%	x

Compiler

Compiled 133 to 82 computations (38.3% saved)

simplify77.0ms (0.8%)

Memory

-12.0MiB live, 105.4MiB 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 y (+.f64 y #s(literal 1 binary64))) x)
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	28	52
2	61	52
3	132	52
4	236	52
5	398	52
6	671	52
7	1035	52
8	1493	52
9	1629	52
10	1770	52
11	1775	52
12	1778	52
13	1779	52
0	1779	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize44.0ms (0.5%)

Memory

6.6MiB live, 83.1MiB 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 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

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

ival-mult: 5.0ms (32.4% of total)

ival-div: 4.0ms (25.9% of total)

ival-add: 4.0ms (25.9% of total)

ival-sub: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-24.9MiB live, 13.6MiB allocated

Counts

8 → 156

Calls

Call 1

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

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

39 calls:

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

rewrite869.0ms (9.4%)

Memory

28.6MiB live, 862.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 084×	`accelerator-lowering-fma.f32`
13 084×	`accelerator-lowering-fma.f64`
5 656×	`-lowering-.f32`
5 656×	`-lowering-.f64`
3 390×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	95	36
2	957	36
0	8621	36

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 1 183

Calls

Call 1

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

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

simplify778.0ms (8.4%)

Memory

5.6MiB live, 713.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 286×	`accelerator-lowering-fma.f32`
15 286×	`accelerator-lowering-fma.f64`
3 254×	`-lowering-.f32`
3 254×	`-lowering-.f64`
1 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	814
1	253	763
2	549	747
3	1906	735
4	6369	735
0	8153	731

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval214.0ms (2.3%)

Memory: 24.4MiB live, 516.0MiB allocated
Compiler: Compiled 37 540 to 2 357 computations (93.7% saved)

prune261.0ms (2.8%)

Memory

10.9MiB live, 539.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 549	4	1 553
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 552	9	1 561

Accuracy

100.0%

Counts

1 561 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(fma.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	89.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	90.6%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	47.1%	(-.f64 x (/.f64 x y))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	53.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
▶	53.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	54.1%	(*.f64 y x)
✓	48.4%	x

Compiler

Compiled 112 to 74 computations (33.9% saved)

simplify81.0ms (0.9%)

Memory

-1.6MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

768×	`accelerator-lowering-fma.f32`
768×	`accelerator-lowering-fma.f64`
520×	`-lowering-.f32`
520×	`-lowering-.f64`
344×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	30	76
2	55	76
3	100	76
4	204	76
5	318	76
6	472	76
7	686	76
8	901	76
9	1175	76
10	1667	76
11	1956	76
12	1966	76
13	1968	76
14	1971	76
15	1972	76
0	1972	76

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize94.0ms (1%)

Memory

6.3MiB live, 124.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.9%	(fma.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
✓	accuracy	96.7%	(.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)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal 1 binary64)) x)
✓	accuracy	90.6%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))

Samples

30.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (52.9% of total)

ival-div: 3.0ms (17.6% of total)

ival-add: 3.0ms (17.6% of total)

ival-sub: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-23.5MiB live, 15.2MiB allocated

Counts

10 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite1.2s (13.3%)

Memory

41.8MiB live, 1 312.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 060×	`accelerator-lowering-fma.f32`
8 060×	`accelerator-lowering-fma.f64`
5 776×	`-lowering-.f32`
5 776×	`-lowering-.f64`
4 198×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	76	52
2	620	52
0	8599	52

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 3 242

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) x)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x))))
(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(/.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 y x) (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 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(.f64 #s(literal -1 binary64) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 x (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #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 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) y))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (*.f64 x (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 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 #s(literal 1 binary64) x)))
(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 y (fma.f64 y (.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y 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 (.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(.f64 (.f64 y (/.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 (/.f64 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 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(.f64 (/.f64 y (/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) x)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (+.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) (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 (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(-.f64 (/.f64 (.f64 y y) (.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)))
(/.f64 (+.f64 y #s(literal 1 binary64)) x)
(/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))
(/.f64 (fma.f64 y (.f64 y y) #s(literal 1 binary64)) (.f64 x (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 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 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 x (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))))
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simplify666.0ms (7.2%)

Memory

-0.6MiB live, 439.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 782×	`accelerator-lowering-fma.f32`
10 782×	`accelerator-lowering-fma.f64`
3 500×	`-lowering-.f32`
3 500×	`-lowering-.f64`
1 772×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	1225
1	225	1132
2	464	1124
3	1468	1076
4	4985	1076
0	8185	1074

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval465.0ms (5%)

Memory: 10.2MiB live, 1 085.3MiB allocated
Compiler: Compiled 112 985 to 3 111 computations (97.2% saved)

prune315.0ms (3.4%)

Memory

-24.9MiB live, 617.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	3 690	2	3 692
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	3 692	9	3 701

Accuracy

100.0%

Counts

3 701 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.6%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	47.1%	(-.f64 x (/.f64 x y))
▶	53.5%	(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x x) y)
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	53.5%	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
✓	53.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	54.1%	(*.f64 y x)
✓	48.4%	x

Compiler

Compiled 70 to 45 computations (35.7% saved)

simplify27.0ms (0.3%)

Memory

17.6MiB live, 57.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
280×	`-lowering-.f32`
280×	`-lowering-.f64`
162×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	26	33
2	63	33
3	133	33
4	240	33
5	418	33
6	555	33
7	656	33
8	665	33
0	665	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

-1.3MiB live, 77.7MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (62.9% of total)

ival-sub: 3.0ms (27% of total)

ival-add: 1.0ms (9% 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%)

Memory

-30.1MiB live, 10.2MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite338.0ms (3.7%)

Memory

48.0MiB live, 596.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 238×	`accelerator-lowering-fma.f32`
5 238×	`accelerator-lowering-fma.f64`
3 000×	`-lowering-.f32`
3 000×	`-lowering-.f64`
1 680×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	61	27
2	463	27
3	5962	26
0	9551	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 822

Calls

Call 1

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

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

simplify626.0ms (6.8%)

Memory

-112.3MiB live, 465.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 382×	`-lowering-.f32`
4 382×	`-lowering-.f64`
4 164×	`accelerator-lowering-fma.f32`
4 164×	`accelerator-lowering-fma.f64`
2 218×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	629
1	131	566
2	292	566
3	620	566
4	1279	566
5	2868	566
6	4060	566
7	5068	566
8	5413	566
9	5732	566
10	6132	566
11	6583	566
12	7104	566
13	7846	566
0	8427	566

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval137.0ms (1.5%)

Memory: -6.7MiB live, 302.5MiB allocated
Compiler: Compiled 18 556 to 1 506 computations (91.9% saved)

prune130.0ms (1.4%)

Memory

30.9MiB live, 151.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	941	1	942
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	942	9	951

Accuracy

100.0%

Counts

951 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.6%	(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
✓	47.1%	(-.f64 x (/.f64 x y))
	53.5%	(*.f64 (fma.f64 (neg.f64 y) x x) y)
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	53.5%	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
✓	53.5%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	54.1%	(*.f64 y x)
✓	48.4%	x

Compiler

Compiled 173 to 77 computations (55.5% saved)

regimes16.0ms (0.2%)

Memory

-6.0MiB live, 31.9MiB allocated

Counts

15 → 1

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

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

Calls

3 calls:

6.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-9.0MiB live, 28.8MiB allocated

Counts

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

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

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
54.1%	1	`x`
99.1%	3	`y`
76.3%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.9MiB live, 8.9MiB 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 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x x) y)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB 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
98.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB 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
98.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-45.0MiB live, 10.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`x`
48.4%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
48.4%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch28.0ms (0.3%)

Memory

3.6MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.6545250210621767e-7	1.0687145255512953
13.0ms	-88763196871158400.0	-4.948351698204359e-7

Samples

16.0ms

320×

valid

Compiler

Compiled 328 to 229 computations (30.2% saved)

Precisions

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

ival-div: 2.0ms (30.3% of total)

ival-mult: 2.0ms (30.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

12.8MiB live, 51.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.6545250210621767e-7	1.0687145255512953
13.0ms	-88763196871158400.0	-4.948351698204359e-7

Samples

14.0ms

320×

valid

Compiler

Compiled 292 to 211 computations (27.7% saved)

Precisions

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

ival-mult: 3.0ms (40% of total)

ival-div: 2.0ms (26.7% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

14.5MiB live, 53.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.6545250210621767e-7	1.0687145255512953
13.0ms	-88763196871158400.0	-4.948351698204359e-7

Samples

13.0ms

320×

valid

Compiler

Compiled 292 to 211 computations (27.7% saved)

Precisions

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

ival-div: 2.0ms (30.9% of total)

ival-mult: 2.0ms (30.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

1.3MiB live, 44.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.6545250210621767e-7	1.0687145255512953
15.0ms	-88763196871158400.0	-4.948351698204359e-7

Samples

13.0ms

320×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-div: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

-20.0MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-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	26	76
1	46	76
2	55	76
3	61	76
4	65	76
5	66	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 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
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 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 3/4 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))
x

soundness1.1s (11.8%)

Memory

22.8MiB live, 643.5MiB allocated

Rules

13 084×	`accelerator-lowering-fma.f32`
13 084×	`accelerator-lowering-fma.f64`
9 976×	`accelerator-lowering-fma.f32`
9 976×	`accelerator-lowering-fma.f64`
8 060×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	95	36
2	957	36
0	8621	36
0	6	13
1	32	13
2	200	13
3	1890	13
0	8401	13
0	15	52
1	76	52
2	620	52
0	8599	52
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 171 to 89 computations (48% saved)

preprocess46.0ms (0.5%)

Memory: 15.1MiB live, 133.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 270 to 110 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.1%)

sample592.0ms (6.4%)

preprocess50.0ms (0.5%)

explain71.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize20.0ms (0.2%)

series7.0ms (0.1%)

rewrite345.0ms (3.7%)

simplify310.0ms (3.4%)

eval52.0ms (0.6%)

prune62.0ms (0.7%)

simplify77.0ms (0.8%)

localize44.0ms (0.5%)

series9.0ms (0.1%)

rewrite869.0ms (9.4%)

simplify778.0ms (8.4%)

eval214.0ms (2.3%)

prune261.0ms (2.8%)

simplify81.0ms (0.9%)

localize94.0ms (1%)

series7.0ms (0.1%)

rewrite1.2s (13.3%)

simplify666.0ms (7.2%)

eval465.0ms (5%)

prune315.0ms (3.4%)

simplify27.0ms (0.3%)

localize31.0ms (0.3%)

series5.0ms (0%)

rewrite338.0ms (3.7%)

simplify626.0ms (6.8%)

eval137.0ms (1.5%)

prune130.0ms (1.4%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch28.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.1s (11.8%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling