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)

sample963.0ms (25.5%)

Memory

12.7MiB live, 799.6MiB allocated

Samples

809.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-div: 283.0ms (80.3% of total)

ival-sub: 56.0ms (15.9% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess27.0ms (0.7%)

Memory

7.1MiB live, 44.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ y 200))

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

Call 2

Inputs
(- x (/ y 200))
(- (neg x) (/ y 200))
(- x (/ (neg y) 200))
(neg (- (neg x) (/ y 200)))
(neg (- x (/ (neg y) 200)))
(- y (/ x 200))

Outputs
(- x (/ y 200))
(+ x (* y -1/200))
(- (neg x) (/ y 200))
(- (* y -1/200) x)
(- x (/ (neg y) 200))
(+ x (* y 1/200))
(neg (- (neg x) (/ y 200)))
(+ x (* y 1/200))
(neg (- x (/ (neg y) 200)))
(- (* y -1/200) x)
(- y (/ x 200))
(+ y (* x -1/200))

explain188.0ms (5%)

Memory

-142.5MiB live, 143.1MiB 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

25.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 6.0ms (46.7% of total)

ival-sub: 6.0ms (46.7% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify11.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB 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×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ y 200))
x
(/ y 200)
y
200

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

localize17.0ms (0.5%)

Memory

-4.2MiB live, 34.7MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (52.5% of total)

ival-sub: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/ y 200)>
#<alt (- x (/ y 200))>

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
1.0ms	y	@	inf	(- x (/ y 200))
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(/ y 200)
0.0ms	x	@	inf	(- x (/ y 200))

rewrite290.0ms (7.7%)

Memory

-13.2MiB live, 373.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	246	8
3	4064	8
0	8155	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 130

Calls

Call 1

Inputs
(/ y 200)
(- x (/ y 200))

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 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.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 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 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (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 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1/200 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 (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 #s(literal 1/40000 binary64) y)) (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 #s(literal 1/40000 binary64) y)) (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 x (fma.f64 y #s(literal 1/200 binary64) x)) (neg.f64 (/.f64 (.f64 y (.f64 #s(literal 1/40000 binary64) y)) (fma.f64 y #s(literal 1/200 binary64) 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))) (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 (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 #s(literal 1/40000 binary64) y)) (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 x) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64)))) (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (/.f64 (.f64 y (*.f64 #s(literal 1/40000 binary64) y)) (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 #s(literal 1/40000 binary64) y)) (fma.f64 y #s(literal 1/200 binary64) 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)))))
(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 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64))) (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 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64)))) (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 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64))) (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 x x (.f64 (.f64 y y) #s(literal -1/40000 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))) (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))))))
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(/.f64 (.f64 (.f64 (fma.f64 y (.f64 #s(literal 1/40000 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 y (.f64 #s(literal 1/40000 binary64) y) (.f64 x x)))
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(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))
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(.f64 (neg.f64 (fma.f64 x x (.f64 (*.f64 y y) #s(literal -1/40000 binary64)))) (/.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 x x (.f64 (*.f64 y y) #s(literal -1/40000 binary64))))
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(.f64 (/.f64 (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64))) (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)))
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(.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)))))
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(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 x (.f64 (.f64 x (.f64 x 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 #s(literal 1/40000 binary64) y)) (fma.f64 y (.f64 #s(literal 1/40000 binary64) y) (.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 y (.f64 #s(literal 1/40000 binary64) y) (.f64 x x)) (fma.f64 x x (.f64 (.f64 y y) #s(literal -1/40000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 1/40000 binary64) y) (.f64 x x))))

simplify280.0ms (7.4%)

Memory

3.7MiB live, 361.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval19.0ms (0.5%)

Memory: 7.7MiB live, 46.1MiB allocated
Compiler: Compiled 3 362 to 381 computations (88.7% saved)

prune18.0ms (0.5%)

Memory

5.5MiB live, 48.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	5	167

Accuracy

100.0%

Counts

167 → 5

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 binary64) (/.f64 #s(literal 200 binary64) y)))
▶	46.5%	(*.f64 y #s(literal -1/200 binary64))
▶	54.7%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify14.0ms (0.4%)

Memory

-5.3MiB live, 34.1MiB 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 200 binary64) y)
✓	cost-diff	128	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
✓	cost-diff	0	(*.f64 y #s(literal -1/200 binary64))

Rules

144×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
96×	`-lowering-.f32`
96×	`-lowering-.f64`
50×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	19	29
2	30	29
3	50	29
4	69	29
5	91	29
6	130	29
7	161	29
8	206	29
9	246	29
10	304	29
11	314	29
0	314	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize37.0ms (1%)

Memory

-9.7MiB live, 108.2MiB 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 200 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
✓	accuracy	99.8%	(*.f64 y #s(literal -1/200 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.3% of total)

const: 4.0ms (30.3% of total)

ival-sub: 2.0ms (15.2% of total)

ival-mult: 2.0ms (15.2% of total)

ival-add: 1.0ms (7.6% 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

6.0MiB live, 6.0MiB allocated

Counts

5 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite307.0ms (8.1%)

Memory

44.6MiB live, 582.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 104×	`accelerator-lowering-fma.f32`
6 104×	`accelerator-lowering-fma.f64`
3 396×	`-lowering-.f32`
3 396×	`-lowering-.f64`
1 516×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	58	19
2	457	19
3	5111	19
0	9339	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 537

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/200 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 (.f64 #s(literal -2 binary64) (log.f64 (*.f64 y #s(literal -1/200 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 y #s(literal -1/200 binary64)))) #s(literal 2 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 y #s(literal -200 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.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 (*.f64 y #s(literal -1/200 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 y #s(literal -1/200 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 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -200 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 200 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(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 y (.f64 y #s(literal 1/40000 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 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 y #s(literal 1/200 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1/200 binary64) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(.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 #s(literal 1 binary64) (.f64 y #s(literal -1/200 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/200 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 (neg.f64 y))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 y #s(literal -1/200 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/200 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 (.f64 #s(literal -2 binary64) (log.f64 (*.f64 y #s(literal -1/200 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 y #s(literal -1/200 binary64)))) #s(literal 2 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 y #s(literal -200 binary64))
(/.f64 y (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.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 (*.f64 y #s(literal -1/200 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 y #s(literal -1/200 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 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -200 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 200 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 200 binary64) y))
(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 y (.f64 y #s(literal 1/40000 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 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 y #s(literal 1/200 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1/200 binary64) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1/200 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(.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 #s(literal 1 binary64) (.f64 y #s(literal -1/200 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/200 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
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simplify332.0ms (8.8%)

Memory

-33.3MiB live, 349.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 712×	`accelerator-lowering-fma.f32`
2 712×	`accelerator-lowering-fma.f64`
2 648×	`-lowering-.f32`
2 648×	`-lowering-.f64`
2 536×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	312
1	70	312
2	172	312
3	458	312
4	1253	312
5	2467	312
6	3287	312
7	3645	312
8	3951	312
9	4141	312
10	5347	312
11	6195	312
12	6987	312
13	7263	312
0	8051	276

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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

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

eval63.0ms (1.7%)

Memory: 6.9MiB live, 123.1MiB allocated
Compiler: Compiled 11 297 to 714 computations (93.7% saved)

prune98.0ms (2.6%)

Memory

-10.6MiB live, 110.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	620	1	621
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	620	6	626

Accuracy

100.0%

Counts

626 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	46.6%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	46.5%	(*.f64 y #s(literal -1/200 binary64))
✓	54.7%	x

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y -200)
y
-200

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

localize14.0ms (0.4%)

Memory

-13.6MiB live, 23.4MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

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

ival-div: 2.0ms (76.2% 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

0.7MiB live, 0.7MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ y -200)>

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)>

Calls

3 calls:

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

rewrite253.0ms (6.7%)

Memory

-10.3MiB live, 365.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 406×	`accelerator-lowering-fma.f32`
3 406×	`accelerator-lowering-fma.f64`
2 330×	`-lowering-.f32`
2 330×	`-lowering-.f64`
1 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	38	3
3	141	3
4	646	3
5	6446	3
0	8369	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 341

Calls

Call 1

Inputs
(/ y -200)

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 (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 #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 (*.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)) (neg.f64 (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)) (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 -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 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)) (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))) #s(literal 0 binary64))
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(/.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) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.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 #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) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.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 #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 (neg.f64 (.f64 (.f64 y (*.f64 y y)) #s(literal 1/200 binary64))) y) y)
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 y (*.f64 y y)) #s(literal 1/200 binary64))) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) #s(literal -1 binary64)) (.f64 y (neg.f64 y)))
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (.f64 #s(literal 1/200 binary64) (.f64 y (neg.f64 y))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
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(*.f64 y #s(literal -1/200 binary64))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 y (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.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))))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.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))))
(.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) (neg.f64 y))
(.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) (neg.f64 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 1/200 binary64) (.f64 y (neg.f64 y))))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1/200 binary64) (.f64 y y)))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -200 binary64) (*.f64 y y))))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (*.f64 y y))))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/200 binary64)))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/200 binary64)))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -200 binary64)))
(.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 200 binary64)))
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(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1/200 binary64) y))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -200 binary64))))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 200 binary64))))
(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/200 binary64)))
(.f64 (.f64 y (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/200 binary64)))
(.f64 (.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -200 binary64)))
(.f64 (.f64 y (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 200 binary64)))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))))
(.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)))
(.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)))
(.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))))))
(.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)))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1/200 binary64)))
(.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))))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1/200 binary64)))
(.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)))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 200 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -200 binary64)))
(.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))))
(.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)))))
(.f64 (pow.f64 (neg.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))))))
(.f64 (pow.f64 (neg.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)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 y #s(literal -1/200 binary64)))
(.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (/.f64 #s(literal 40000 binary64) (*.f64 y y)))
(.f64 (.f64 (*.f64 y y) #s(literal 1/40000 binary64)) (/.f64 #s(literal -200 binary64) y))
(.f64 (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))))
(.f64 (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/200 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal 1/200 binary64) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal 200 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal -200 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y #s(literal -1/200 binary64)))
(.f64 (.f64 #s(literal -1/200 binary64) (neg.f64 (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -1/200 binary64) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1/200 binary64) y) (.f64 y (neg.f64 y)))
(.f64 (/.f64 #s(literal 1/200 binary64) (neg.f64 y)) (.f64 y y))
(.f64 (/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (.f64 y (neg.f64 y)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (neg.f64 (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/200 binary64) (.f64 y y)))
(.f64 (.f64 (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) y)
(.f64 (.f64 (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (neg.f64 y))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 y #s(literal -1/200 binary64)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))) (sqrt.f64 (*.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)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64)))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))
(.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 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))) (sqrt.f64 (.f64 y #s(literal -1/200 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal -1/200 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 200 binary64) #s(literal -1/2 binary64)))
(.f64 (.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 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -200 binary64) y))) (sqrt.f64 (.f64 y #s(literal -1/200 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) (.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 #s(literal -200 binary64) y)))) (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)

simplify6.0ms (0.2%)

Memory

17.1MiB live, 17.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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)

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)

eval36.0ms (1%)

Memory: -4.2MiB live, 74.2MiB allocated
Compiler: Compiled 3 905 to 561 computations (85.6% saved)

prune139.0ms (3.7%)

Memory

-8.2MiB live, 113.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	353	6	359

Accuracy

100.0%

Counts

359 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	46.6%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	46.5%	(*.f64 y #s(literal -1/200 binary64))
✓	54.7%	x

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes12.0ms (0.3%)

Memory

-10.4MiB live, 27.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
3.0ms	(/.f64 y #s(literal 200 binary64))
3.0ms	x
3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))

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)

regimes9.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.2%)

Memory

-21.9MiB live, 16.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	x
2.0ms	(/.f64 y #s(literal 200 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
73.3%	3	`x`
79.1%	3	`y`
60.5%	4	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
79.1%	3	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
54.7%	1	`x`
54.7%	1	`y`
54.7%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.046737753496039e-13	8.652521980758243e-10
0.0ms	-0.010320907017372755	-8.777973348352703e-7

Compiler

Compiled 10 to 10 computations (0% saved)

simplify9.0ms (0.2%)

Memory

-21.5MiB live, 16.8MiB 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	14	27
1	20	27
2	29	27
3	35	27
4	40	27
5	42	27

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)
(if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 y #s(literal -1/200 binary64)) (if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) x (.f64 y #s(literal -1/200 binary64))))
x

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 y #s(literal -1/200 binary64)) (if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) x (.f64 y #s(literal -1/200 binary64))))
x

soundness566.0ms (15%)

Memory

2.0MiB live, 318.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	246	8
3	4064	8
0	8155	7
0	25	138
1	68	138
2	170	138
3	455	138
4	1251	138
5	2440	138
6	3244	138
7	3580	138
8	3876	138
9	4060	138
10	5213	138
11	6009	138
12	6777	138
13	7045	138
14	7825	138
0	8361	120

Stop Event

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

Compiler

Compiled 48 to 26 computations (45.8% saved)

preprocess44.0ms (1.2%)

Memory: -1.4MiB live, 125.3MiB allocated
Compiler: Compiled 76 to 38 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	10	29
1	19	29
2	30	29
3	50	29
4	69	29
5	91	29
6	130	29
7	161	29
8	206	29
9	246	29
10	304	29
11	314	29
0	314	27

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

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

Iter	Nodes	Cost
0	10	29
1	19	29
2	30	29
3	50	29
4	69	29
5	91	29
6	130	29
7	161	29
8	206	29
9	246	29
10	304	29
11	314	29
0	314	27

analyze0.0ms (0%)

sample963.0ms (25.5%)

preprocess27.0ms (0.7%)

explain188.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.3%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite290.0ms (7.7%)

simplify280.0ms (7.4%)

eval19.0ms (0.5%)

prune18.0ms (0.5%)

simplify14.0ms (0.4%)

localize37.0ms (1%)

series2.0ms (0.1%)

rewrite307.0ms (8.1%)

simplify332.0ms (8.8%)

eval63.0ms (1.7%)

prune98.0ms (2.6%)

simplify4.0ms (0.1%)

localize14.0ms (0.4%)

series0.0ms (0%)

rewrite253.0ms (6.7%)

simplify6.0ms (0.2%)

eval36.0ms (1%)

prune139.0ms (3.7%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness566.0ms (15%)

preprocess44.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	10	29
1	19	29
2	30	29
3	50	29
4	69	29
5	91	29
6	130	29
7	161	29
8	206	29
9	246	29
10	304	29
11	314	29
0	314	27