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)

sample618.0ms (10.2%)

Memory

19.0MiB live, 857.9MiB allocated

Samples

424.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 75.0ms (50.4% of total)

ival-sub: 61.0ms (41% of total)

ival-true: 6.0ms (4% of total)

exact: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess27.0ms (0.5%)

Memory

10.7MiB live, 47.9MiB 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))

explain59.0ms (1%)

Memory

-28.8MiB live, 129.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-div: 4.0ms (45.2% of total)

ival-sub: 4.0ms (45.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 (0.2%)

Memory

24.1MiB live, 24.1MiB 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)

localize18.0ms (0.3%)

Memory

-6.4MiB live, 32.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

12.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (51.9% of total)

ival-sub: 1.0ms (25.9% 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%)

Memory

5.0MiB live, 5.0MiB 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	@	0	(- x (/ y 200))

rewrite685.0ms (11.3%)

Memory

-20.6MiB live, 462.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	246	8
3	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 (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 (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))))

simplify300.0ms (5%)

Memory

24.6MiB live, 257.1MiB 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)

eval20.0ms (0.3%)

Memory: 5.7MiB live, 41.1MiB allocated
Compiler: Compiled 3 362 to 381 computations (88.7% saved)

prune24.0ms (0.4%)

Memory

-22.1MiB live, 52.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	6	167

Accuracy

100.0%

Counts

167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.8%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	99.8%	(*.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)))
▶	48.1%	(*.f64 y #s(literal -1/200 binary64))
▶	52.2%	x

Compiler

Compiled 81 to 51 computations (37% saved)

simplify292.0ms (4.8%)

Memory

-4.3MiB live, 506.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
✓	cost-diff	0	(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))
✓	cost-diff	0	(fma.f64 y #s(literal 1/200 binary64) x)
✓	cost-diff	1792	(*.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)))
✓	cost-diff	0	(fma.f64 y #s(literal -1/200 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal -1/200 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 1/200 binary64))
✓	cost-diff	128	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))

Rules

10 192×	`accelerator-lowering-fma.f32`
10 192×	`accelerator-lowering-fma.f64`
2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
2 524×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	23	55
2	51	55
3	126	55
4	345	55
5	937	55
6	2284	55
7	6090	55
0	8071	48

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize50.0ms (0.8%)

Memory

-9.8MiB live, 105.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))
✓	accuracy	100.0%	(*.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)))
✓	accuracy	99.9%	(fma.f64 y #s(literal 1/200 binary64) x)
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	accuracy	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	accuracy	99.7%	(*.f64 y #s(literal -1/200 binary64))
✓	accuracy	100.0%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	accuracy	99.7%	(*.f64 y #s(literal 1/200 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 8.0ms (37.8% of total)

ival-mult: 5.0ms (23.6% of total)

ival-div: 4.0ms (18.9% of total)

ival-add: 2.0ms (9.5% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

series6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

7 → 144

Calls

Call 1

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

Outputs
#<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 (* 1/200 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>
#<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)))>
#<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)))>
#<alt x>
#<alt (+ x (* 1/200 y))>
#<alt (+ x (* 1/200 y))>
#<alt (+ x (* 1/200 y))>
#<alt (* 1/200 y)>
#<alt (* y (+ 1/200 (/ x y)))>
#<alt (* y (+ 1/200 (/ x y)))>
#<alt (* y (+ 1/200 (/ x y)))>
#<alt (* 1/200 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/200)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/200)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/200)))>
#<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 1>
#<alt (+ 1 (* -1/100 (/ y x)))>
#<alt (+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))>
#<alt (+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))>
#<alt (- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))>
#<alt (- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)>
#<alt (- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)>
#<alt -1>
#<alt (- (* 400 (/ x y)) 1)>
#<alt (- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)>
#<alt (- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))>
#<alt (- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))>
#<alt (- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* y -1/200) x) (+ (* y 1/200) x))
1.0ms	x	@	inf	(/ (+ (* y -1/200) x) (+ (* y 1/200) x))
0.0ms	y	@	inf	(/ (+ (* y -1/200) x) (+ (* y 1/200) x))
0.0ms	y	@	0	(/ (+ (* y -1/200) x) (+ (* y 1/200) x))
0.0ms	x	@	-inf	(/ (+ (* y -1/200) x) (+ (* y 1/200) x))

rewrite351.0ms (5.8%)

Memory

3.4MiB live, 728.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 904×	`accelerator-lowering-fma.f32`
6 904×	`accelerator-lowering-fma.f64`
4 740×	`-lowering-.f32`
4 740×	`-lowering-.f64`
3 286×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	62	37
2	629	37
0	8268	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 1 140

Calls

Call 1

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

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

simplify341.0ms (5.6%)

Memory

6.2MiB live, 514.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 372×	`accelerator-lowering-fma.f32`
10 372×	`accelerator-lowering-fma.f64`
5 830×	`-lowering-.f32`
5 830×	`-lowering-.f64`
1 404×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	844
1	536	830
2	1532	758
3	6304	744
0	8588	643

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* -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)))))
(* 1/200 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
(+ 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)))
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)))
x
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(+ x (* 1/200 y))
(* 1/200 y)
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* y (+ 1/200 (/ x y)))
(* 1/200 y)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(* 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)))
1
(+ 1 (* -1/100 (/ y x)))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
-1
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
-1
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
-1
(- (* 400 (/ x y)) 1)
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
1
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
1
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))

Outputs
(* -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)
(* 1/200 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)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
x
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* y (- (/ x y) 1/200))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
(+ x (* -1/200 y))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
(* x (+ 1 (* -1/200 (/ y x))))
(fma.f64 #s(literal -1/200 binary64) y x)
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(fma.f64 #s(literal -1/200 binary64) y x)
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)
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 (+ 1/200 (/ x y)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* y (+ 1/200 (/ x y)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* y (+ 1/200 (/ x y)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* 1/200 y)
(*.f64 y #s(literal 1/200 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/200)))
(fma.f64 y #s(literal 1/200 binary64) x)
(* 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)
1
#s(literal 1 binary64)
(+ 1 (* -1/100 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 1/20000 (/ y (pow x 2))) (* 1/100 (/ 1 x)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -1/20000 binary64) #s(literal 1/100 binary64))) x))
(+ 1 (* y (- (* y (+ (* -1/4000000 (/ y (pow x 3))) (* 1/20000 (/ 1 (pow x 2))))) (* 1/100 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4000000 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/20000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 200 (/ x y)) (+ 1 (* -200 (/ x y))))
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (+ (* -200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))) (* 200 (/ x y))) (+ 1 (* -200 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal 80000 binary64) #s(literal -400 binary64))) y))
(- (+ (* 200 (/ x y)) (* 40000 (/ (* (pow x 2) (- (* 200 x) (* -200 x))) (pow y 3)))) (+ 1 (+ (* -200 (/ x y)) (* 200 (/ (* x (- (* 200 x) (* -200 x))) (pow y 2))))))
(-.f64 (fma.f64 x (/.f64 (.f64 (.f64 x #s(literal 16000000 binary64)) x) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal 80000 binary64) #s(literal -400 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -200 x) (* 200 x)) y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -200 x) (* -200 (/ (* x (- (* -200 x) (* 200 x))) y))) (* 200 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal 80000 binary64) #s(literal -400 binary64))) y))
(- (* -1 (/ (- (+ (* -200 x) (* -1 (/ (- (* -40000 (/ (* (pow x 2) (- (* -200 x) (* 200 x))) y)) (* -200 (* x (- (* -200 x) (* 200 x))))) y))) (* 200 x)) y)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 16000000 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -80000 binary64) (*.f64 y y))) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 400 (/ x y)) 1)
(fma.f64 x (/.f64 #s(literal 400 binary64) y) #s(literal -1 binary64))
(- (* x (+ (* -80000 (/ x (pow y 2))) (* 400 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 x y) #s(literal 80000 binary64) #s(literal -400 binary64))) y))
(- (* x (+ (* x (- (* 16000000 (/ x (pow y 3))) (* 80000 (/ 1 (pow y 2))))) (* 400 (/ 1 y)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 16000000 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal -80000 binary64) (*.f64 y y))) (/.f64 #s(literal 400 binary64) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1/200 (/ y x))) (* 1/200 (/ y x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1/200 (/ y x)) (* -1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2))))) (* 1/200 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -1/20000 binary64) #s(literal 1/100 binary64))) x))
(- (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (* (pow y 2) (- (* -1/200 y) (* 1/200 y))) (pow x 3))))) (+ (* 1/200 (/ y x)) (* 1/200 (/ (* y (- (* -1/200 y) (* 1/200 y))) (pow x 2)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4000000 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/20000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* 1/200 y) (* -1/200 y)) x)))
(fma.f64 y (/.f64 #s(literal -1/100 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1/200 (/ (* y (- (* 1/200 y) (* -1/200 y))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 y x) #s(literal -1/20000 binary64) #s(literal 1/100 binary64))) x))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1/40000 (/ (* (pow y 2) (- (* 1/200 y) (* -1/200 y))) x)) (* -1/200 (* y (- (* 1/200 y) (* -1/200 y))))) x)) (* 1/200 y)) (* -1/200 y)) x)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4000000 binary64) (/.f64 y (.f64 x (.f64 x x))) (/.f64 #s(literal 1/20000 binary64) (*.f64 x x))) (/.f64 #s(literal -1/100 binary64) x)) #s(literal 1 binary64))

eval358.0ms (5.9%)

Memory: 12.2MiB live, 439.3MiB allocated
Compiler: Compiled 54 026 to 2 341 computations (95.7% saved)

prune175.0ms (2.9%)

Memory

-41.5MiB live, 311.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 750	1	1 751
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 750	7	1 757

Accuracy

100.0%

Counts

1 757 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	99.8%	(*.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)))
▶	46.8%	(*.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(literal -1 binary64))
✓	48.1%	(*.f64 y #s(literal -1/200 binary64))
✓	52.2%	x

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify10.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y #s(literal 1/200 binary64) x)
✓	cost-diff	192	(*.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(literal -1 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	15
2	19	15
3	34	14
4	43	14
5	56	14
6	99	14
7	141	14
8	184	14
9	191	14
10	193	14
0	193	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (0.9%)

Memory

2.3MiB live, 40.4MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

48.0ms

256×

valid

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

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

ival-mult: 3.0ms (34.6% of total)

const: 3.0ms (34.6% of total)

ival-add: 1.0ms (11.5% 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

-31.2MiB live, 5.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* y 1/200) x)
0.0ms	y	@	0	(* (+ (* y 1/200) x) -1)
0.0ms	x	@	inf	(* (+ (* y 1/200) x) -1)
0.0ms	y	@	-inf	(* (+ (* y 1/200) x) -1)
0.0ms	y	@	inf	(* (+ (* y 1/200) x) -1)

rewrite527.0ms (8.7%)

Memory

29.8MiB live, 938.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

18 446×	`accelerator-lowering-fma.f32`
18 446×	`accelerator-lowering-fma.f64`
4 408×	`-lowering-.f32`
4 408×	`-lowering-.f64`
3 944×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	23	11
2	172	11
3	1705	10
0	8884	9

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 281

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y #s(literal -1/200 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y #s(literal -1/200 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))
(+.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 y #s(literal -1/200 binary64)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x x))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 (.f64 x (.f64 x 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 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)))))) (fma.f64 (.f64 x (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 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal 1/200 binary64) x)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(-.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 #s(literal 0 binary64) (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 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64))))) (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (fma.f64 y #s(literal 1/200 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x)) (fma.f64 y #s(literal 1/200 binary64) x))
(fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal 1/200 binary64) (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/200 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) (neg.f64 x))
(fma.f64 #s(literal -1/200 binary64) y (neg.f64 x))
(neg.f64 (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) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x x)) (fma.f64 y #s(literal -1/200 binary64) x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))) (-.f64 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.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 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (*.f64 x x) (neg.f64 x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y))) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(/.f64 (.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 y #s(literal -1/200 binary64) x))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))) #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x) (*.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y #s(literal 1/200 binary64) x) (fma.f64 y #s(literal 1/200 binary64) x))) (+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x)) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 1/200 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) 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 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(.f64 (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 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.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 (-.f64 (.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)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal -1/200 binary64)) x))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(.f64 (.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 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 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x 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 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) (fma.f64 (.f64 x (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 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 (/.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal 1/200 binary64) x))))
(+.f64 (*.f64 y #s(literal 1/200 binary64)) x)
(+.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 x (*.f64 y #s(literal 1/200 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (neg.f64 x) (/.f64 x (-.f64 (.f64 y #s(literal 1/200 binary64)) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x x)))) (fma.f64 y #s(literal 1/200 binary64) x)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal 1/200 binary64) x)))))
(+.f64 (/.f64 (.f64 x x) (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 (*.f64 y #s(literal 1/200 binary64)) (neg.f64 x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -1/200 binary64)) 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 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x))) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (-.f64 (*.f64 y #s(literal -1/200 binary64)) x))
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(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/1600000000 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64)))) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))))
(.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))))
(.f64 (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 (.f64 y y) #s(literal 1/1600000000 binary64)) (.f64 (/.f64 y (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 y (-.f64 (.f64 y #s(literal 1/200 binary64)) x))))) (/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 (.f64 y y) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (fma.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 x (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x)))))))
(.f64 (.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x))) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64000000000000 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal 1/200 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 (.f64 x (.f64 x 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 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) (fma.f64 (.f64 x (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 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal 1/200 binary64) x))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x x)) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 y #s(literal 1/200 binary64)) x) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/1600000000 binary64))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/64000000000000 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) #s(literal -1/2 binary64)))

simplify320.0ms (5.3%)

Memory

4.2MiB live, 285.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
2 640×	`/-lowering-/.f32`
2 640×	`/-lowering-/.f64`
2 112×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	225
1	77	207
2	220	207
3	622	207
4	1603	207
5	2837	207
6	3603	207
7	3933	207
8	4239	207
9	4414	207
10	5741	207
11	6581	207
12	7429	207
13	7731	207
0	8335	189

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

eval38.0ms (0.6%)

Memory: 17.8MiB live, 93.5MiB allocated
Compiler: Compiled 9 915 to 835 computations (91.6% saved)

prune42.0ms (0.7%)

Memory

-2.3MiB live, 117.9MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	327	2	329
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	328	8	336

Accuracy

100.0%

Counts

336 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.8%	(fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	99.8%	(*.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)))
✓	48.1%	(*.f64 y #s(literal -1/200 binary64))
▶	2.2%	(neg.f64 x)
✓	52.2%	x

Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify12.0ms (0.2%)

Memory

-22.8MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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	6	13
1	13	13
2	19	13
3	34	13
4	53	13
5	99	13
6	141	13
7	191	13
8	208	13
9	216	13
0	216	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

20.5MiB live, 58.2MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

18.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

const: 6.0ms (58.6% of total)

ival-mult: 2.0ms (19.5% of total)

ival-add: 1.0ms (9.8% of total)

ival-neg: 1.0ms (9.8% of total)

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

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

series1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite284.0ms (4.7%)

Memory

13.9MiB live, 527.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 992×	`accelerator-lowering-fma.f32`
5 992×	`accelerator-lowering-fma.f64`
3 418×	`-lowering-.f32`
3 418×	`-lowering-.f64`
2 924×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	26	7
2	204	7
3	2141	6
0	9392	5

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 239

Calls

Call 1

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

Outputs
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 0 binary64)) (.f64 x x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(+.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (*.f64 x x) (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 (*.f64 y #s(literal -1/200 binary64)) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x))
(-.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) 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 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64)) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (fma.f64 y #s(literal 1/200 binary64) x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (*.f64 y y))))) (fma.f64 y #s(literal -1/200 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.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 #s(literal 0 binary64) (fma.f64 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64)))))) (fma.f64 y #s(literal 1/200 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 y 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 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 y 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 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.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 x (.f64 x (.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 y (.f64 y #s(literal 1/40000 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 (fma.f64 y #s(literal -1/200 binary64) x) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal -1/200 binary64) x) (.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))) (/.f64 (.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 0 binary64) (fma.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal -1/200 binary64) x) (*.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (fma.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 y) (/.f64 #s(literal 1/40000 binary64) (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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x))) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (fma.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 y) (/.f64 #s(literal 1/40000 binary64) (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 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.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))) (fma.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 #s(literal 1 binary64) (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 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)) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1/200 binary64) (/.f64 (.f64 y (.f64 y #s(literal -1/200 binary64))) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (.f64 y #s(literal -1/200 binary64)) (/.f64 (.f64 y #s(literal -1/200 binary64)) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 y #s(literal -1/200 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 y #s(literal -1/200 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x) (.f64 y #s(literal -1/200 binary64)))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 y #s(literal -1/200 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 #s(literal 1/40000 binary64) (/.f64 (.f64 y y) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (.f64 y #s(literal 1/40000 binary64)) (/.f64 y (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (.f64 y (.f64 y #s(literal -1/200 binary64))) (/.f64 #s(literal -1/200 binary64) (fma.f64 y #s(literal -1/200 binary64) x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.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)))
(fma.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/200 binary64) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/200 binary64))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1/200 binary64))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 y #s(literal -1/200 binary64)))
(neg.f64 (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (fma.f64 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))) (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))))
(/.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)))
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal -1/200 binary64) 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 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (.f64 y y))))) (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (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 #s(literal 0 binary64) (fma.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y #s(literal -1/200 binary64) x) (.f64 #s(literal 0 binary64) (fma.f64 y #s(literal 1/200 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x))))) (neg.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (fma.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 y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))) (.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))))) (fma.f64 y #s(literal 1/200 binary64) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))) (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))) (fma.f64 x (.f64 x x) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.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)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.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 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x)))) (fma.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (-.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 y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (.f64 x x) (fma.f64 y #s(literal -1/200 binary64) x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y #s(literal -1/200 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (*.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/200 binary64) 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 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))))
(.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (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 (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))
(.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (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 (fma.f64 x (.f64 x x) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64)))))))
(.f64 (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/200 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(.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 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x)))) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) 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 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x)))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (*.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 (/.f64 (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 (.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 x (fma.f64 y #s(literal -1/200 binary64) x) (neg.f64 (.f64 y (*.f64 y #s(literal 1/40000 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 x x (.f64 #s(literal -1/40000 binary64) (*.f64 y y)))) (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)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/200 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (fma.f64 y #s(literal 1/200 binary64) x)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) (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 y (.f64 y #s(literal 1/40000 binary64)))) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8000000 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))) (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (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 y #s(literal 1/40000 binary64)) (.f64 x (fma.f64 y #s(literal -1/200 binary64) x))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #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 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/40000 binary64) (.f64 x x)) (.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 #s(literal 1/1600000000 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 x (.f64 x (.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))))

simplify368.0ms (6.1%)

Memory

-3.8MiB live, 193.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 596×	`/-lowering-/.f32`
2 596×	`/-lowering-/.f64`
2 480×	`accelerator-lowering-fma.f32`
2 480×	`accelerator-lowering-fma.f64`
2 112×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
1	68	129
2	183	129
3	466	129
4	961	129
5	2085	129
6	3313	129
7	4787	129
8	5379	129
9	5635	129
10	5689	129
11	5737	129
12	6515	129
13	6835	129
14	6835	129
15	6835	129
16	6835	129
0	8001	129

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval184.0ms (3%)

Memory: -20.4MiB live, 54.1MiB allocated
Compiler: Compiled 7 813 to 683 computations (91.3% saved)

prune174.0ms (2.9%)

Memory

23.2MiB live, 66.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	332	8	340

Accuracy

100.0%

Counts

340 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.8%	(fma.f64 y #s(literal -1/200 binary64) (neg.f64 x))
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	99.8%	(*.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)))
✓	48.1%	(*.f64 y #s(literal -1/200 binary64))
✓	2.2%	(neg.f64 x)
✓	52.2%	x

Compiler

Compiled 102 to 54 computations (47.1% saved)

regimes16.0ms (0.3%)

Memory

-0.8MiB live, 37.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 y #s(literal 200 binary64))
4.0ms	(-.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)

regimes14.0ms (0.2%)

Memory

-6.9MiB live, 31.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
99.8%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory

-19.4MiB live, 19.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
(neg.f64 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:

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
74.0%	3	`x`
76.9%	3	`y`
56.4%	2	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
76.9%	3	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -32.4b remaining (-106.1%)

Threshold costs -32.4b (-106.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.812336753553488e+41	4.616983394249582e+51
0.0ms	-1579620845696250600.0	-67922710060243816.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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 -1000000000000000000 binary64)) (.f64 y #s(literal -1/200 binary64)) (if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 500000000000000022442856339037958392774656 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 -1000000000000000000 binary64)) (.f64 y #s(literal -1/200 binary64)) (if (<=.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 500000000000000022442856339037958392774656 binary64)) x (.f64 y #s(literal -1/200 binary64))))
x

soundness588.0ms (9.7%)

Memory

-20.4MiB live, 243.5MiB 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)

preprocess32.0ms (0.5%)

Memory: -1.4MiB live, 74.7MiB 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	7	16
1	10	15
2	19	15
3	34	14
4	43	14
5	56	14
6	99	14
7	141	14
8	184	14
9	191	14
10	193	14
0	193	13

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	7	16
1	10	15
2	19	15
3	34	14
4	43	14
5	56	14
6	99	14
7	141	14
8	184	14
9	191	14
10	193	14
0	193	13

analyze0.0ms (0%)

sample618.0ms (10.2%)

preprocess27.0ms (0.5%)

explain59.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize18.0ms (0.3%)

series3.0ms (0%)

rewrite685.0ms (11.3%)

simplify300.0ms (5%)

eval20.0ms (0.3%)

prune24.0ms (0.4%)

simplify292.0ms (4.8%)

localize50.0ms (0.8%)

series6.0ms (0.1%)

rewrite351.0ms (5.8%)

simplify341.0ms (5.6%)

eval358.0ms (5.9%)

prune175.0ms (2.9%)

simplify10.0ms (0.2%)

localize56.0ms (0.9%)

series4.0ms (0.1%)

rewrite527.0ms (8.7%)

simplify320.0ms (5.3%)

eval38.0ms (0.6%)

prune42.0ms (0.7%)

simplify12.0ms (0.2%)

localize25.0ms (0.4%)

series1.0ms (0%)

rewrite284.0ms (4.7%)

simplify368.0ms (6.1%)

eval184.0ms (3%)

prune174.0ms (2.9%)

regimes16.0ms (0.3%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness588.0ms (9.7%)

preprocess32.0ms (0.5%)

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	7	16
1	10	15
2	19	15
3	34	14
4	43	14
5	56	14
6	99	14
7	141	14
8	184	14
9	191	14
10	193	14
0	193	13