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)

sample565.0ms (15.4%)

Memory

-9.5MiB live, 845.1MiB allocated

Samples

363.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-sub: 114.0ms (53% of total)

ival-div: 88.0ms (40.9% of total)

ival-true: 6.0ms (2.8% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess34.0ms (0.9%)

Memory

-30.8MiB live, 50.0MiB 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)

explain54.0ms (1.5%)

Memory

2.6MiB live, 117.4MiB 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

21.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (52.6% of total)

ival-sub: 2.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

simplify12.0ms (0.3%)

Memory

29.5MiB live, 29.5MiB 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)

localize22.0ms (0.6%)

Memory

0.7MiB live, 43.3MiB 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

15.0ms

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 (54.1% of total)

ival-sub: 1.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

-31.5MiB live, 6.4MiB 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
2.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	0	(- x (/ y 200))

rewrite351.0ms (9.6%)

Memory

19.8MiB live, 334.5MiB 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))))))
(/.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 (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 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))))
(/.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 (.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))))) (pow.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))) #s(literal 3 binary64))) (fma.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))) (fma.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))) (.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)))))))
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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))))

simplify270.0ms (7.4%)

Memory

8.7MiB live, 400.0MiB 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)

eval21.0ms (0.6%)

Memory: -5.0MiB live, 51.2MiB allocated
Compiler: Compiled 3 359 to 382 computations (88.6% saved)

prune18.0ms (0.5%)

Memory

13.1MiB live, 50.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	4	164

Accuracy

100.0%

Counts

164 → 4

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)))
▶	99.8%	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
▶	44.4%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify100.0ms (2.7%)

Memory

-9.2MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	1088	(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 y #s(literal -1/200 binary64))

Rules

144×	`lower-fma.f32`
142×	`lower-fma.f64`
96×	`lower-*.f32`
94×	`lower-*.f64`
50×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	28
1	23	26
2	33	26
3	51	26
4	68	26
5	90	26
6	128	26
7	158	26
8	203	26
9	243	26
10	294	26
11	298	26
0	298	26

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

localize263.0ms (7.2%)

Memory

-1.9MiB live, 72.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.6%	(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(*.f64 y #s(literal -1/200 binary64))

Samples

219.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

const: 201.0ms (96.3% of total)

ival-div: 3.0ms (1.4% of total)

ival-mult: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

ival-add: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

5 → 84

Calls

Call 1

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

21 calls:

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

rewrite420.0ms (11.4%)

Memory

3.1MiB live, 529.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 070×	`lower-fma.f32`
5 068×	`lower-fma.f64`
3 714×	`lower-*.f32`
3 712×	`lower-*.f64`
2 552×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	15	19
1	61	17
2	446	17
3	6093	17
0	8183	17

Stop Event

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

Counts

5 → 310

Calls

Call 1

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

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

simplify299.0ms (8.1%)

Memory

10.8MiB live, 239.5MiB 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	26	312
1	69	312
2	171	312
3	454	312
4	1251	312
5	2486	312
6	3288	312
7	3624	312
8	3920	312
9	4103	312
10	5247	312
11	6043	312
12	6811	312
13	7079	312
14	7859	312
0	8395	276

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

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

eval44.0ms (1.2%)

Memory: 1.5MiB live, 82.8MiB allocated
Compiler: Compiled 8 695 to 514 computations (94.1% saved)

prune28.0ms (0.8%)

Memory

-38.5MiB live, 85.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	387	1	388
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	387	5	392

Accuracy

100.0%

Counts

392 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	44.5%	(/.f64 (neg.f64 y) #s(literal 200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	44.4%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify6.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	512	(/.f64 (neg.f64 y) #s(literal 200 binary64))

Rules

16×	`lower-+.f64`
16×	`lower-+.f32`
12×	`lower-*.f64`
12×	`lower-fma.f64`
12×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	12	7
2	20	7
3	27	7
4	31	7
5	39	7
6	49	7
7	50	7
0	50	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

-5.9MiB live, 31.3MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-div: 2.0ms (55.4% of total)

ival-neg: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 24

Calls

Call 1

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

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 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>

Calls

6 calls:

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

rewrite124.0ms (3.4%)

Memory

-7.8MiB live, 205.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 336×	`lower-/.f32`
1 334×	`lower-/.f64`
1 318×	`lower-*.f64`
1 318×	`lower-*.f32`
1 238×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	22	5
2	72	5
3	358	5
4	3749	4
0	8831	4

Stop Event

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

Counts

2 → 289

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))
(+.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(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)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/40000 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/40000 binary64))) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal 1/200 binary64))) (.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal 1/200 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/200 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/200 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 200 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/200 binary64) y #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/40000 binary64)) (/.f64 #s(literal 200 binary64) y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (/.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/200 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 1/40000 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/200 binary64) y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/200 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y y)) (*.f64 y y)) y #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y y)) (.f64 y (.f64 y y))) (*.f64 y y) #s(literal 0 binary64))
(neg.f64 (*.f64 y #s(literal 1/200 binary64)))
(/.f64 y #s(literal 200 binary64))
(/.f64 y #s(literal -200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/40000 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 (*.f64 y y) #s(literal 1/40000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/200 binary64) (.f64 y 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 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/40000 binary64)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 (*.f64 y y) #s(literal 1/40000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y y) (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 #s(literal 1/200 binary64) (.f64 y y)))))
(/.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 200 binary64) (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (*.f64 y y))))
(/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (*.f64 y y)))))
(/.f64 (.f64 y y) (.f64 y #s(literal 200 binary64)))
(/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 200 binary64))))
(/.f64 (.f64 y y) (neg.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 200 binary64)))))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y #s(literal 200 binary64)) (.f64 y (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (neg.f64 (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (neg.f64 (.f64 (.f64 y #s(literal 200 binary64)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 y #s(literal 200 binary64)) (.f64 y y)))
(/.f64 (.f64 y (.f64 y (.f64 y y))) (neg.f64 (.f64 (.f64 y #s(literal 200 binary64)) (.f64 y y))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (neg.f64 (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 y y) #s(literal 1/40000 binary64)) (*.f64 y #s(literal 1/200 binary64)))
(/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y y)) y)
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 (*.f64 y y) #s(literal 1/40000 binary64)))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/40000 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/40000 binary64)) #s(literal 0 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/200 binary64) (*.f64 y y))) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) (*.f64 y y))) y)
(/.f64 (.f64 #s(literal -1/200 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal -1/200 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/200 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y y) #s(literal -1/200 binary64)) y)
(/.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/40000 binary64)) #s(literal 1 binary64)) (.f64 y #s(literal 1/200 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (.f64 (.f64 #s(literal 1/200 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64)) (*.f64 y y))
(/.f64 (/.f64 (*.f64 y y) #s(literal 200 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y)
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (*.f64 y y))) y) y)
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y y)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) y)) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) #s(literal 200 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) y)) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) #s(literal -200 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 200 binary64) y)) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 200 binary64) (*.f64 y y)) (/.f64 #s(literal 200 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) #s(literal 1/200 binary64))) (.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
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(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 y #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 y y) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (neg.f64 (.f64 y (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (*.f64 y y)))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (neg.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y (.f64 y y))))) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64)) (.f64 y (.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y (*.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (.f64 y (.f64 y y)))))) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1 binary64))) (.f64 y (.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 y (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (.f64 y (.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) y))) (*.f64 y y))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 y (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y (.f64 y y)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)

simplify7.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	60
1	8	60
2	10	60
3	11	60
4	13	60
5	15	60
6	19	60
7	27	60
8	28	60
0	28	60

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval64.0ms (1.8%)

Memory: -16.4MiB live, 60.9MiB allocated
Compiler: Compiled 4 153 to 634 computations (84.7% saved)

prune48.0ms (1.3%)

Memory

33.0MiB live, 71.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	312	6	318

Accuracy

100.0%

Counts

318 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	44.5%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
▶	2.5%	(*.f64 y #s(literal 1/200 binary64))
✓	44.4%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify5.0ms (0.1%)

Memory

-29.8MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`lower-*.f32`
2×	`*-commutative`
2×	`lift-/.f64`
2×	`lower-*.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
0	7	10
1	8	10
0	8	10

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

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

localize22.0ms (0.6%)

Memory

-0.3MiB live, 37.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal -200 binary64))
✓	accuracy	99.8%	(*.f64 y #s(literal 1/200 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

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

const: 3.0ms (39.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite211.0ms (5.7%)

Memory

12.5MiB live, 373.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 406×	`lower-fma.f64`
3 406×	`lower-fma.f32`
2 330×	`lower-*.f32`
2 328×	`lower-*.f64`
1 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
0	7	6
1	18	6
2	42	6
3	142	6
4	644	6
5	6433	6
0	8356	6

Stop Event

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

Counts

2 → 682

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))
(+.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(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)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 (*.f64 y y) #s(literal 1/40000 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal -1/2 binary64) (neg.f64 (.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 200 binary64) (.f64 y y))) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal 200 binary64))) (.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 1/40000 binary64))) (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal 1/200 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/200 binary64) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -1/200 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1/200 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/200 binary64) (*.f64 y (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1/200 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -200 binary64) (.f64 y y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/200 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1/200 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 200 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -200 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (/.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/200 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))) (/.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) #s(literal 0 binary64))
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(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/200 binary64)))) (pow.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -200 binary64) y))) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))) (sqrt.f64 (*.f64 y #s(literal 1/200 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) (neg.f64 (.f64 y (.f64 y (.f64 y y))))) (.f64 y (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y)))) (.f64 y (neg.f64 y)))
(.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) (.f64 y (neg.f64 y))) (neg.f64 y))
(.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) (.f64 y (.f64 y y))) (.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) (.f64 y y)) y)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal 1/200 binary64))))) (sqrt.f64 (*.f64 y #s(literal 1/200 binary64))))

simplify8.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`lower-*.f64`
8×	`lower-*.f32`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)
(* -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)

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

eval73.0ms (2%)

Memory: 3.1MiB live, 152.1MiB allocated
Compiler: Compiled 7 808 to 561 computations (92.8% saved)

prune48.0ms (1.3%)

Memory

15.0MiB live, 127.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	706	0	706
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	706	6	712

Accuracy

100.0%

Counts

712 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	44.5%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	2.5%	(*.f64 y #s(literal 1/200 binary64))
✓	44.4%	(*.f64 y #s(literal -1/200 binary64))

Compiler

Compiled 68 to 46 computations (32.4% saved)

regimes17.0ms (0.5%)

Memory

-9.3MiB live, 35.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(/.f64 y #s(literal 200 binary64))
3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
3.0ms	x
3.0ms	y

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)

regimes11.0ms (0.3%)

Memory

-10.1MiB live, 28.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y
2.0ms	x

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)

regimes6.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total -27.4b remaining (-77.2%)

Threshold costs -27.4b (-77.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.4%	1	`x`
44.4%	1	`y`
44.4%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
44.4%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify24.0ms (0.7%)

Memory

-28.4MiB live, 9.5MiB 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))

soundness444.0ms (12.1%)

Memory

25.5MiB live, 274.2MiB 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	5	8
0	7	8
1	32	8
2	248	8
3	4067	8
0	8164	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
1×	iter limit

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess25.0ms (0.7%)

Memory: -2.1MiB live, 74.9MiB allocated
Compiler: Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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	10	31
0	15	28
1	23	26
2	33	26
3	51	26
4	68	26
5	90	26
6	128	26
7	158	26
8	203	26
9	243	26
10	294	26
11	298	26
0	298	26

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	10	31
0	15	28
1	23	26
2	33	26
3	51	26
4	68	26
5	90	26
6	128	26
7	158	26
8	203	26
9	243	26
10	294	26
11	298	26
0	298	26

analyze0.0ms (0%)

sample565.0ms (15.4%)

preprocess34.0ms (0.9%)

explain54.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize22.0ms (0.6%)

series4.0ms (0.1%)

rewrite351.0ms (9.6%)

simplify270.0ms (7.4%)

eval21.0ms (0.6%)

prune18.0ms (0.5%)

simplify100.0ms (2.7%)

localize263.0ms (7.2%)

series2.0ms (0.1%)

rewrite420.0ms (11.4%)

simplify299.0ms (8.1%)

eval44.0ms (1.2%)

prune28.0ms (0.8%)

simplify6.0ms (0.2%)

localize16.0ms (0.4%)

series0.0ms (0%)

rewrite124.0ms (3.4%)

simplify7.0ms (0.2%)

eval64.0ms (1.8%)

prune48.0ms (1.3%)

simplify5.0ms (0.1%)

localize22.0ms (0.6%)

series0.0ms (0%)

rewrite211.0ms (5.7%)

simplify8.0ms (0.2%)

eval73.0ms (2%)

prune48.0ms (1.3%)

regimes17.0ms (0.5%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

simplify24.0ms (0.7%)

soundness444.0ms (12.1%)

preprocess25.0ms (0.7%)

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

Iter	Nodes	Cost
0	10	31
0	15	28
1	23	26
2	33	26
3	51	26
4	68	26
5	90	26
6	128	26
7	158	26
8	203	26
9	243	26
10	294	26
11	298	26
0	298	26