Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample503.0ms (18%)

Memory

74.0MiB live, 1 053.3MiB allocated

Samples

339.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 89.0ms (56.2% of total)

ival-sub: 56.0ms (35.4% of total)

ival-true: 6.0ms (3.8% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess34.0ms (1.2%)

Memory

4.4MiB live, 73.7MiB allocated

Algorithm

2×	egg-herbie

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
60×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	33	32
2	78	30
3	161	30
4	282	30
5	345	30
6	351	30
0	5	5
1	7	5
2	17	5
3	25	5
4	37	5
5	56	5
6	92	5
7	124	5
8	179	5
9	210	5
10	243	5
11	244	5
0	244	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ y 4))

Outputs
(- x (/ y 4))
(fma.f64 y #s(literal -1/4 binary64) x)

Call 2

Inputs
(- x (/ y 4))
(- (neg x) (/ y 4))
(- x (/ (neg y) 4))
(neg (- (neg x) (/ y 4)))
(neg (- x (/ (neg y) 4)))
(- y (/ x 4))

Outputs
(- x (/ y 4))
(+ x (* y -1/4))
(- (neg x) (/ y 4))
(- (* y -1/4) x)
(- x (/ (neg y) 4))
(+ x (* y 1/4))
(neg (- (neg x) (/ y 4)))
(+ x (* y 1/4))
(neg (- x (/ (neg y) 4)))
(- (* y -1/4) x)
(- y (/ x 4))
(+ y (* x -1/4))

explain81.0ms (2.9%)

Memory

-0.1MiB live, 138.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
-	-	`y`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (53.6% of total)

ival-sub: 3.0ms (40.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Memory

-37.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.4%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓	cost-diff	320	(/.f64 y #s(literal 4 binary64))

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	25	11
4	37	11
5	56	11
6	92	11
7	124	11
8	179	11
9	210	11
10	243	11
11	244	11
0	244	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ y 4))
x
(/ y 4)
y
4

Outputs
(- x (/ y 4))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(/ y 4)
(fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))
y
4
#s(literal 4 binary64)

localize17.0ms (0.6%)

Memory

6.4MiB live, 44.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (57.9% of total)

ival-sub: 1.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ y 4)>
#<alt (- x (/ y 4))>

Outputs
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* -1/4 y)>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (* -1/4 y)>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(- x (/ y 4))
0.0ms	y	@	-inf	(/ y 4)
0.0ms	y	@	inf	(/ y 4)
0.0ms	y	@	0	(/ y 4)
0.0ms	x	@	inf	(- x (/ y 4))

rewrite264.0ms (9.5%)

Memory

-28.8MiB live, 565.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 368×	`accelerator-lowering-fma.f32`
3 368×	`accelerator-lowering-fma.f64`
3 224×	`-lowering-.f32`
3 224×	`-lowering-.f64`
2 912×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	246	8
3	4063	8
0	8149	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(/ y 4)
(- x (/ y 4))

Outputs
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64)))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 4 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 y #s(literal -1/4 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 y #s(literal 1/4 binary64)))))
(*.f64 y #s(literal 1/4 binary64))
(.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/4 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/4 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 y)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/4 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/4 binary64) x)) (/.f64 (.f64 y (*.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/4 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/4 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64)))) (fma.f64 y #s(literal -1/4 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)))) (fma.f64 (.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 y #s(literal 1/4 binary64)) x) (.f64 x x)) (neg.f64 (/.f64 (.f64 y (.f64 #s(literal 1/16 binary64) y)) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x)))))) (fma.f64 (.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (-.f64 (.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x))))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/4 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)))) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64)))) (fma.f64 y #s(literal 1/4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64))) (fma.f64 y #s(literal 1/4 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 y (.f64 #s(literal 1/4 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (.f64 x x)))
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(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/4096 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 1/16 binary64) y)) (fma.f64 x x (.f64 y (.f64 #s(literal 1/16 binary64) y))) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 1/16 binary64) y))) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/16 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (.f64 #s(literal 1/16 binary64) y)))))

simplify265.0ms (9.5%)

Memory

-18.6MiB live, 417.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`accelerator-lowering-fma.f32`
3 160×	`accelerator-lowering-fma.f64`
2 584×	`-lowering-.f32`
2 584×	`-lowering-.f64`
2 384×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2440	138
6	3244	138
7	3580	138
8	3876	138
9	4060	138
10	5213	138
11	6009	138
12	6777	138
13	7045	138
14	7825	138
0	8361	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* -1/4 y)
(- x (* 1/4 y))
(- x (* 1/4 y))
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
x
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(* -1/4 y)
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Outputs
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* 1/4 y)
(fma.f64 #s(literal 1/4 binary64) y #s(literal 0 binary64))
(* -1/4 y)
(fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64))
(- x (* 1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
(- x (* 1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
(- x (* 1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 y #s(literal -1/4 binary64) x)
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 y #s(literal -1/4 binary64) x)
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(+ x (* -1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
(+ x (* -1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
(+ x (* -1/4 y))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1/4 y)
(fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64))
(* y (- (/ x y) 1/4))
(fma.f64 y #s(literal -1/4 binary64) x)
(* y (- (/ x y) 1/4))
(fma.f64 y #s(literal -1/4 binary64) x)
(* y (- (/ x y) 1/4))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1/4 y)
(fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/4 binary64) x)

eval20.0ms (0.7%)

Memory: 10.6MiB live, 49.3MiB allocated
Compiler: Compiled 3 408 to 383 computations (88.8% saved)

prune18.0ms (0.6%)

Memory

4.2MiB live, 42.0MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	2	167

Accuracy

100.0%

Counts

167 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
▶	48.6%	x

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/4 binary64) x)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	7	9
0	7	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(+ (* y -1/4) x)
y
-1/4
x

Outputs
x
(+ (* y -1/4) x)
(fma.f64 y #s(literal -1/4 binary64) x)
y
-1/4
#s(literal -1/4 binary64)
x

localize17.0ms (0.6%)

Memory

-8.5MiB live, 30.0MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)

Samples

12.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.9% of total)

ival-add: 1.0ms (28% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (+ (* y -1/4) x)>

Outputs
#<alt x>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (* -1/4 y)>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1/4 y)>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+ (* y -1/4) x)
0.0ms	x	@	0	(+ (* y -1/4) x)
0.0ms	x	@	-inf	(+ (* y -1/4) x)
0.0ms	x	@	inf	(+ (* y -1/4) x)
0.0ms	y	@	inf	(+ (* y -1/4) x)

rewrite547.0ms (19.6%)

Memory

-2.4MiB live, 790.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`accelerator-lowering-fma.f32`
18 200×	`accelerator-lowering-fma.f64`
4 320×	`-lowering-.f32`
4 320×	`-lowering-.f64`
3 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	20	5
2	152	5
3	1489	5
0	8223	4

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 211

Calls

Call 1

Inputs
(+ (* y -1/4) x)

Outputs
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 (.f64 y #s(literal -1/4 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/4 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (*.f64 x x)))) (fma.f64 y #s(literal -1/4 binary64) x)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) x) (.f64 y (.f64 y #s(literal 1/16 binary64))))))
(+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (-.f64 x (*.f64 y #s(literal -1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y #s(literal -1/4 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (-.f64 x (*.f64 y #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))))) (-.f64 (*.f64 y #s(literal -1/4 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64))))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64))))) (-.f64 (*.f64 y #s(literal -1/4 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/256 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (fma.f64 x x (.f64 y (*.f64 y #s(literal 1/16 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x))) (/.f64 (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (.f64 x x)) (.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (-.f64 (*.f64 y #s(literal -1/4 binary64)) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))))) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x)))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 y #s(literal -1/4 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/16 binary64)) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/4 binary64)) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/16 binary64)) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/16 binary64)) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/4 binary64) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/16 binary64)) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (*.f64 x x)))) (fma.f64 y #s(literal -1/4 binary64) x)))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/16 binary64)) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) x) (.f64 y (.f64 y #s(literal 1/16 binary64))))))
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 #s(literal -1/4 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y (.f64 y #s(literal -1/4 binary64))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -1/4 binary64)) x))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y (.f64 y #s(literal -1/4 binary64))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y #s(literal 1/4 binary64) x))))
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(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal -1/4 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 1/16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 x (.f64 y #s(literal -1/4 binary64))) (.f64 (-.f64 x (.f64 y #s(literal -1/4 binary64))) (-.f64 x (.f64 y #s(literal -1/4 binary64))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))))) (fma.f64 (.f64 x (-.f64 x (.f64 y #s(literal -1/4 binary64)))) (fma.f64 x (-.f64 x (.f64 y #s(literal -1/4 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 y y))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)) (-.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal -1/4 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (.f64 x (-.f64 x (.f64 y #s(literal -1/4 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/16 binary64))) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 y #s(literal -1/4 binary64) x) (.f64 y (.f64 y #s(literal 1/16 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y (.f64 y #s(literal 1/16 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/4 binary64)) x) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/256 binary64))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (*.f64 y #s(literal 1/16 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal 1/64 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/4096 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) x)) (.f64 x x)) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/4 binary64) x)) #s(literal -1/2 binary64)))

simplify395.0ms (14.2%)

Memory

-7.5MiB live, 384.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 592×	`accelerator-lowering-fma.f32`
6 592×	`accelerator-lowering-fma.f64`
4 288×	`-lowering-.f32`
4 288×	`-lowering-.f64`
3 864×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	64	102
2	170	102
3	432	102
4	1141	102
5	2554	102
6	3411	102
7	3878	102
8	4284	102
9	4479	102
10	4583	102
11	5301	102
12	5633	102
13	5641	102
14	5641	102
15	5641	102
0	10131	84

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
x
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(* -1/4 y)
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1/4 y)
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))

Outputs
x
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1/4 y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal 0 binary64))
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1/4 y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1/4 y)
(fma.f64 #s(literal -1/4 binary64) y #s(literal 0 binary64))
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)

eval39.0ms (1.4%)

Memory: 21.5MiB live, 59.4MiB allocated
Compiler: Compiled 8 178 to 509 computations (93.8% saved)

prune40.0ms (1.4%)

Memory

18.1MiB live, 56.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	235	2	237

Accuracy

100.0%

Counts

237 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
✓	48.6%	x

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes24.0ms (0.9%)

Memory

-33.9MiB live, 14.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)

Calls

4 calls:

18.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -1/4 binary64) x)
x

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)
x

soundness422.0ms (15.1%)

Memory

11.1MiB live, 149.2MiB allocated

Rules

3 368×	`accelerator-lowering-fma.f32`
3 368×	`accelerator-lowering-fma.f64`
3 224×	`-lowering-.f32`
3 224×	`-lowering-.f64`
3 160×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	246	8
3	4063	8
0	8149	7
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2440	138
6	3244	138
7	3580	138
8	3876	138
9	4060	138
10	5213	138
11	6009	138
12	6777	138
13	7045	138
14	7825	138
0	8361	120

Stop Event

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess77.0ms (2.7%)

Memory: -4.7MiB live, 64.3MiB allocated
Compiler: Compiled 28 to 18 computations (35.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	34
1	33	32
2	78	30
3	161	30
4	282	30
5	345	30
6	351	30
0	5	5
1	7	5
2	17	5
3	25	5
4	37	5
5	56	5
6	92	5
7	124	5
8	179	5
9	210	5
10	243	5
11	244	5
0	244	4

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	25	11
4	37	11
5	56	11
6	92	11
7	124	11
8	179	11
9	210	11
10	243	11
11	244	11
0	244	10

Iter	Nodes	Cost
0	14	34
1	33	32
2	78	30
3	161	30
4	282	30
5	345	30
6	351	30
0	5	5
1	7	5
2	17	5
3	25	5
4	37	5
5	56	5
6	92	5
7	124	5
8	179	5
9	210	5
10	243	5
11	244	5
0	244	4

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	25	11
4	37	11
5	56	11
6	92	11
7	124	11
8	179	11
9	210	11
10	243	11
11	244	11
0	244	10

analyze0.0ms (0%)

sample503.0ms (18%)

preprocess34.0ms (1.2%)

explain81.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify11.0ms (0.4%)

localize17.0ms (0.6%)

series3.0ms (0.1%)

rewrite264.0ms (9.5%)

simplify265.0ms (9.5%)

eval20.0ms (0.7%)

prune18.0ms (0.6%)

simplify4.0ms (0.1%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite547.0ms (19.6%)

simplify395.0ms (14.2%)

eval39.0ms (1.4%)

prune40.0ms (1.4%)

regimes24.0ms (0.9%)

regimes3.0ms (0.1%)

simplify7.0ms (0.3%)

soundness422.0ms (15.1%)

preprocess77.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	34
1	33	32
2	78	30
3	161	30
4	282	30
5	345	30
6	351	30
0	5	5
1	7	5
2	17	5
3	25	5
4	37	5
5	56	5
6	92	5
7	124	5
8	179	5
9	210	5
10	243	5
11	244	5
0	244	4

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	25	11
4	37	11
5	56	11
6	92	11
7	124	11
8	179	11
9	210	11
10	243	11
11	244	11
0	244	10