Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, D

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample627.0ms (18.8%)

Memory

-14.7MiB live, 867.0MiB allocated

Samples

437.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-div: 175.0ms (71.3% of total)

ival-sub: 57.0ms (23.2% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess28.0ms (0.8%)

Memory

7.2MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)

explain56.0ms (1.7%)

Memory

-2.4MiB live, 114.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`#s(literal 200 binary64)`
-	-	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
-	-	`(/.f64 y #s(literal 200 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

22.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 6.0ms (67.7% of total)

ival-sub: 3.0ms (33.8% 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify16.0ms (0.5%)

Memory

-14.3MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	cost-diff	384	(/.f64 y #s(literal 200 binary64))

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
x
(/.f64 y #s(literal 200 binary64))
y
#s(literal 200 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(/.f64 y #s(literal 200 binary64))
(*.f64 y #s(literal 1/200 binary64))
y
#s(literal 200 binary64)

localize17.0ms (0.5%)

Memory

9.2MiB live, 47.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 200 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (51.6% of total)

ival-sub: 1.0ms (25.8% 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

7.4MiB live, 7.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/.f64 y #s(literal 200 binary64))>
#<alt (-.f64 x (/.f64 y #s(literal 200 binary64)))>

Outputs
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* 1/200 y)>
#<alt (* -1/200 y)>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt (- x (* 1/200 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (* -1/200 y)>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	inf	(- x (/ y 200))

rewrite301.0ms (9%)

Memory

-35.4MiB live, 278.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 368×	`lower-fma.f64`
3 368×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
2 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Counts

2 → 130

Calls

Call 1

Inputs
(/.f64 y #s(literal 200 binary64))
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(exp.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/200 binary64)))
(neg.f64 (*.f64 y #s(literal -1/200 binary64)))
(neg.f64 (.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/200 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64)))))
(*.f64 y #s(literal 1/200 binary64))
(.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/200 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/200 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(+.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/200 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal 1/200 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/200 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1/200 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 1/200 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 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 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (-.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (fma.f64 (.f64 y #s(literal 1/200 binary64)) (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (.f64 x x)) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/200 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 y (.f64 #s(literal 1/40000 binary64) y) (-.f64 (.f64 x x) (.f64 x (.f64 y #s(literal -1/200 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
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(/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x)))
(/.f64 (.f64 (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 1/512000000000000000000 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))))) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 y #s(literal 1/200 binary64) x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (*.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))))
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(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))))) (fma.f64 x (/.f64 (.f64 x x) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 x x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x)))) (fma.f64 x (/.f64 x (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 y #s(literal 1/200 binary64) x))))
(/.f64 (.f64 (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 1/512000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) 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 1/8000000 binary64)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y y) #s(literal -1/40000 binary64))) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)))))
(.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(*.f64 (fma.f64 y #s(literal 1/200 binary64) x) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x)))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (fma.f64 (.f64 y #s(literal 1/200 binary64)) (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (-.f64 (.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))))) (fma.f64 x x (.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 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 1/512000000000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 #s(literal 1/200 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/64000000000000 binary64) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x))))

simplify274.0ms (8.2%)

Memory

-9.4MiB live, 377.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 584×	`lower-*.f64`
2 584×	`lower-*.f32`
2 384×	`lower-/.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 → 33

Calls

Call 1

Inputs
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* 1/200 y)
(* -1/200 y)
(- x (* 1/200 y))
(- x (* 1/200 y))
(- x (* 1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))

Outputs
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(- x (* 1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 y #s(literal -1/200 binary64) x)
x
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(+ x (* -1/200 y))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* y (- (/ x y) 1/200))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1/200 y)
(*.f64 y #s(literal -1/200 binary64))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 y #s(literal -1/200 binary64) x)

eval19.0ms (0.6%)

Memory: 10.9MiB live, 48.6MiB allocated
Compiler: Compiled 3 359 to 382 computations (88.6% saved)

prune56.0ms (1.7%)

Memory

-4.4MiB live, 38.4MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	3	164

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	49.0%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal -1/200 binary64))

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	7	12
1	9	12
0	9	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 y #s(literal -1/200 binary64))
y
#s(literal -1/200 binary64)
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

Outputs
(*.f64 y #s(literal -1/200 binary64))
y
#s(literal -1/200 binary64)
(fma.f64 y #s(literal -1/200 binary64) x)
y
#s(literal -1/200 binary64)
x

localize25.0ms (0.8%)

Memory

-10.4MiB live, 28.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	accuracy	99.8%	(*.f64 y #s(literal -1/200 binary64))

Samples

19.0ms

256×

valid

Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 9.0ms (73.8% of total)

ival-mult: 2.0ms (16.4% of total)

ival-add: 1.0ms (8.2% of total)

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

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

series1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (*.f64 y #s(literal -1/200 binary64))>
#<alt (fma.f64 y #s(literal -1/200 binary64) x)>

Outputs
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt x>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (* -1/200 y)>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* y (- (/ x y) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1/200 y)>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt (+ x (* -1/200 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt (* x (+ 1 (* -1/200 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y -1/200)
0.0ms	x	@	0	(+ (* y -1/200) x)
0.0ms	x	@	-inf	(+ (* y -1/200) x)
0.0ms	x	@	inf	(+ (* y -1/200) x)
0.0ms	y	@	0	(+ (* y -1/200) x)

rewrite712.0ms (21.4%)

Memory

2.3MiB live, 844.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 200×	`lower-fma.f32`
18 198×	`lower-fma.f64`
4 320×	`lower-*.f32`
4 318×	`lower-*.f64`
3 924×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	7	7
1	22	7
2	154	7
3	1494	7
0	8301	7

Stop Event

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

Counts

2 → 221

Calls

Call 1

Inputs
(*.f64 y #s(literal -1/200 binary64))
(fma.f64 y #s(literal -1/200 binary64) x)

Outputs
(exp.f64 (log.f64 (*.f64 y #s(literal -1/200 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/200 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/200 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(+.f64 (.f64 y #s(literal -1/200 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x x)))) (fma.f64 y #s(literal -1/200 binary64) x)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) #s(literal -1 binary64)))
(-.f64 (*.f64 y #s(literal -1/200 binary64)) (neg.f64 x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (neg.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 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 -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x))) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (*.f64 x (neg.f64 x)) x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))) (/.f64 (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (.f64 x x)) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 #s(literal 1/1600000000 binary64) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))))) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)))) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)))))))
(-.f64 (/.f64 (.f64 #s(literal 1/1600000000 binary64) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)))))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x x)))) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 y (/.f64 (.f64 y #s(literal 1/40000 binary64)) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 y (.f64 y #s(literal -1/200 binary64))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))))
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(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal -1/200 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) (fma.f64 (.f64 x (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (fma.f64 x (+.f64 x (.f64 y #s(literal 1/200 binary64))) (.f64 #s(literal -1/40000 binary64) (.f64 y y))) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 1/200 binary64))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 1/200 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x (neg.f64 x)) x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (neg.f64 (.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 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 #s(literal 1/8000000 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64000000000000 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/40000 binary64) (.f64 #s(literal 1/200 binary64) x)) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (neg.f64 (.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 -1/8000000 binary64) (.f64 (*.f64 x (neg.f64 x)) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal -1/2 binary64)))

simplify625.0ms (18.8%)

Memory

23.1MiB live, 483.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 592×	`lower-fma.f64`
6 592×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
3 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	64	138
2	170	138
3	432	138
4	1142	138
5	2543	138
6	3406	138
7	3873	138
8	4282	138
9	4477	138
10	4581	138
11	5299	138
12	5631	138
13	5639	138
14	5639	138
15	5639	138
0	10079	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
x
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(* -1/200 y)
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* y (- (/ x y) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1/200 y)
(+ x (* -1/200 y))
(+ x (* -1/200 y))
(+ x (* -1/200 y))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (* -1/200 (/ y x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))

Outputs
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)

eval41.0ms (1.2%)

Memory: -7.1MiB live, 87.0MiB allocated
Compiler: Compiled 8 122 to 524 computations (93.5% saved)

prune37.0ms (1.1%)

Memory

2.6MiB live, 81.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	254	3	257

Accuracy

100.0%

Counts

257 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	49.0%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes9.0ms (0.3%)

Memory

-11.3MiB live, 28.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal -1/200 binary64))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Calls

4 calls:

3.0ms	y
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
100.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal -1/200 binary64))
(fma.f64 y #s(literal -1/200 binary64) x)

Outputs
(fma.f64 y #s(literal -1/200 binary64) x)

Calls

4 calls:

2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
99.9%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

-26.8MiB live, 15.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y #s(literal -1/200 binary64))

Outputs
(*.f64 y #s(literal -1/200 binary64))

Calls

4 calls:

2.0ms	x
1.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
1.0ms	y
1.0ms	(/.f64 y #s(literal 200 binary64))

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
49.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12
2	20	12
3	26	12
4	31	12
5	33	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(*.f64 y #s(literal -1/200 binary64))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(*.f64 y #s(literal -1/200 binary64))

soundness427.0ms (12.8%)

Memory

-1.1MiB live, 153.2MiB allocated

Rules

3 368×	`lower-fma.f64`
3 368×	`lower-fma.f32`
3 224×	`lower-*.f64`
3 224×	`lower-*.f32`
3 160×	`lower-fma.f64`

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
0	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	7

Stop Event

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

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess28.0ms (0.9%)

Memory: 8.7MiB live, 46.4MiB allocated
Compiler: Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

analyze0.0ms (0%)

sample627.0ms (18.8%)

preprocess28.0ms (0.8%)

explain56.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.5%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite301.0ms (9%)

simplify274.0ms (8.2%)

eval19.0ms (0.6%)

prune56.0ms (1.7%)

simplify6.0ms (0.2%)

localize25.0ms (0.8%)

series1.0ms (0%)

rewrite712.0ms (21.4%)

simplify625.0ms (18.8%)

eval41.0ms (1.2%)

prune37.0ms (1.1%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

simplify7.0ms (0.2%)

soundness427.0ms (12.8%)

preprocess28.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10