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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

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)

sample669.0ms (15.7%)

Memory

6.4MiB live, 798.8MiB allocated

Samples

420.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-div: 179.0ms (75.5% of total)

ival-sub: 45.0ms (19% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain156.0ms (3.7%)

Memory

-26.1MiB live, 61.6MiB 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

19.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 4.0ms (56.2% of total)

ival-sub: 2.0ms (28.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.5%)

Memory

27.7MiB live, 27.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	254	25
5	298	25
6	307	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	129	5
8	190	5
9	224	5
10	257	5
11	258	5
0	258	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify203.0ms (4.8%)

Memory

-27.3MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	129	11
8	190	11
9	224	11
10	257	11
11	258	11
0	258	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

19.5MiB live, 19.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 y #s(literal 200 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (57.6% of total)

ival-sub: 1.0ms (28.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

2 → 9

Calls

Call 1

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

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

Calls

6 calls:

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

simplify296.0ms (7%)

Memory

3.0MiB live, 87.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	180	37
3	462	37
4	1255	37
5	2541	37
6	3375	37
7	3711	37
8	4007	37
9	4188	37
10	5342	37
11	6138	37
12	6906	37
13	7174	37
14	7954	37
0	8490	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

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

rewrite175.0ms (4.1%)

Memory

-19.8MiB live, 170.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4065	8
0	8183	7

Stop Event

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

Counts

2 → 130

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/200 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/200 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/200 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8000000 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/40000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y y) #s(literal -1/40000 binary64))) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/200 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8000000 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 #s(literal 1/200 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8000000 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1/8000000 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (+.f64 (fma.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/200 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/200 binary64) y) x))))
(/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal 1/200 binary64) y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal 1/200 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/200 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/40000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/200 binary64) y) x)
(fma.f64 #s(literal 1/200 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/200 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(fma.f64 (neg.f64 y) #s(literal 1/200 binary64) x)
(fma.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x)))))
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/200 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/200 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/200 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/40000 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/200 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/200 binary64))
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 200 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -200 binary64) y))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 200 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -200 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 (neg.f64 y) #s(literal -200 binary64))
(/.f64 y #s(literal 200 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/200 binary64) y)))

eval16.0ms (0.4%)

Memory: 0.5MiB live, 38.2MiB allocated
Compiler: Compiled 2 524 to 401 computations (84.1% saved)

prune2.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Accuracy

100.0%

Counts

134 → 3

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)))
▶	51.6%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify9.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	138	20
8	199	20
9	233	20
10	266	20
11	267	20
0	267	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.7%)

Memory

-24.5MiB live, 61.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 y #s(literal -1/200 binary64) x)
accuracy	0.15625	(*.f64 #s(literal -1/200 binary64) y)
accuracy	30.89136541383455	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Samples

23.0ms

256×

valid

Compiler

Compiled 20 to 11 computations (45% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (26.6% of total)

const: 3.0ms (26.6% of total)

ival-div: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 8

Calls

Call 1

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

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

Calls

6 calls:

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

simplify205.0ms (4.8%)

Memory

16.7MiB live, 131.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	68	34
2	178	34
3	460	34
4	1252	34
5	2578	34
6	3412	34
7	3748	34
8	4044	34
9	4226	34
10	5366	34
11	6162	34
12	6930	34
13	7198	34
14	7978	34
0	8514	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

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

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

rewrite151.0ms (3.5%)

Memory

-40.8MiB live, 134.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	16
1	49	15
2	399	15
3	6484	15
0	8212	15

Stop Event

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

Counts

3 → 141

Calls

Call 1

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

Outputs
#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/200 binary64) y))
(*.f64 #s(literal 1/200 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) y))
(*.f64 #s(literal -1/200 binary64) y)
(.f64 (.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/200 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y)))
(/.f64 (neg.f64 y) #s(literal 200 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -200 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/200 binary64) y)))))
(/.f64 #s(literal -1/200 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -200 binary64))
(neg.f64 (*.f64 #s(literal 1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -200 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal -1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x) (pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x)))
(.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/200 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal -1/200 binary64) y) x) (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))
(.f64 (fma.f64 #s(literal -1/200 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal -1/200 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/200 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) (fma.f64 #s(literal 1/40000 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/200 binary64) y x))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/40000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8000000 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (*.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/64000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 1/200 binary64) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/200 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 (*.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/200 binary64) y x))) (.f64 (.f64 #s(literal 1/40000 binary64) y) (/.f64 y (fma.f64 #s(literal 1/200 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/200 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/40000 binary64) y) y (.f64 (fma.f64 #s(literal 1/200 binary64) y x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/40000 binary64) (.f64 y y)) (fma.f64 #s(literal 1/200 binary64) y x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))))
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eval15.0ms (0.4%)

Memory: 22.3MiB live, 22.3MiB allocated
Compiler: Compiled 3 273 to 416 computations (87.3% saved)

prune3.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	0	0
Picked	0	2	2
Done	1	0	1
Total	142	4	146

Accuracy

100.0%

Counts

146 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 #s(literal 1/200 binary64) y) (/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	51.7%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	51.6%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify133.0ms (3.1%)

Memory

-18.4MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/200 binary64) y)
cost-diff	1	(/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x))
cost-diff	2	(neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/200 binary64) y) x))))
cost-diff	7	(fma.f64 (.f64 #s(literal 1/200 binary64) y) (/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x)))))
cost-diff	0	(/.f64 y #s(literal -200 binary64))
cost-diff	0	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	28	87
1	53	85
2	113	85
3	210	84
4	441	84
5	999	84
6	2245	80
7	2818	80
8	3319	80
9	3562	80
10	3683	80
11	3695	78
12	4230	78
13	6610	78
14	7686	78
0	8142	73

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (1.1%)

Memory

19.4MiB live, 94.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.109375	(/.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal -1/200 binary64) y) x))
accuracy	0.109375	(/.f64 x (-.f64 (*.f64 #s(literal -1/200 binary64) y) x))
accuracy	0.15625	(*.f64 #s(literal 1/200 binary64) y)
accuracy	0.15625	(*.f64 #s(literal -1/200 binary64) y)
accuracy	0.0	(/.f64 y #s(literal -200 binary64))
accuracy	30.89136541383455	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 8.0ms (31.2% of total)

ival-mult: 6.0ms (23.4% of total)

const: 6.0ms (23.4% of total)

ival-sub: 2.0ms (7.8% of total)

ival-add: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (1%)

Memory

-21.4MiB live, 26.1MiB allocated

Counts

8 → 69

Calls

Call 1

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

Outputs
(* -1/200 y)
(- x (* 1/200 y))
(+ x (* -1/200 y))
(* 200 (/ (pow x 2) y))
(* (pow x 2) (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
-1
(- (* 200 (/ x y)) 1)
(- (* x (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))) 1)
(* -200 (/ x y))
(* x (- (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(* x (- (* x (+ (* -8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(* x (- (* x (+ (* x (- (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ (* 1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(* -1/200 (/ y x))
(/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (* 1/40000 (/ (pow y 2) x)))) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (+ (* 1/1600000000 (/ (pow y 4) (pow x 3))) (* 1/40000 (/ (pow y 2) x))))) x)
(- (* 1/200 (/ y x)) 1)
(- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* -1/200 (/ y x))))
(- (* 1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) x)) (* -1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3))) x)) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* -1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/8000000 (/ (pow y 3) x))) x)) (* -1/200 y)) x)) 1)))
(* -1 (/ (+ (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/1600000000 (/ (pow y 4) x)) (* 1/8000000 (pow y 3))) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1)
(- (* -1/200 y) (* -1 x))
(- (* y (- (* 1/40000 (/ y x)) 1/200)) (* -1 x))
(- (* y (- (* y (+ (* -1/8000000 (/ y (pow x 2))) (* 1/40000 (/ 1 x)))) 1/200)) (* -1 x))
(* y (- (* 1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x))))
(* y (- (* y (+ (* -1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(* y (- (* y (+ (* y (- (* 1/1600000000 (/ y (pow x 4))) (* 1/8000000 (/ 1 (pow x 3))))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(* 1/200 y)
(- (* y (+ (* -1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x)))) 1)
(* y (- (/ x y) 1/200))
(* y (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))
(* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 40000 (pow x 3))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))
(/ (- (* -40000 (/ (pow x 3) y)) (* -200 (pow x 2))) y)
(/ (- (* 8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y)))) y)
(/ (- (* -1600000000 (/ (pow x 5) (pow y 3))) (+ (* -8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y))))) y)
(- (* -40000 (/ (pow x 2) (pow y 2))) (+ 1 (* -200 (/ x y))))
(- (* 8000000 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* -200 (/ x y)) (* 40000 (/ (pow x 2) (pow y 2))))))
(/ (+ (* -200 x) (* 40000 (/ (pow x 2) y))) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (* 40000 (/ (pow x 2) y)))) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (+ (* 40000 (/ (pow x 2) y)) (* 1600000000 (/ (pow x 4) (pow y 3)))))) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (* 40000 (/ (pow x 3) (pow y 2))))) y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (+ (* -1 (/ (+ (* -8000000 (pow x 4)) (* 8000000 (pow x 4))) (pow y 3))) (* 40000 (/ (pow x 3) (pow y 2)))))) y)))))
(* -1 (/ (- (* 40000 (/ (pow x 3) y)) (* 200 (pow x 2))) y))
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 8000000 (/ (pow x 4) y))) y)) (* 200 (pow x 2))) y))
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* -1 (/ (+ (* -8000000 (pow x 4)) (* 1600000000 (/ (pow x 5) y))) y))) y)) (* 200 (pow x 2))) y))
(- (* -1 (/ (- (* 40000 (/ (pow x 2) y)) (* 200 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 3) y)) (* 40000 (pow x 2))) y)) (* 200 x)) y)) 1)
(* -1 (/ (+ (* -40000 (/ (pow x 2) y)) (* 200 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -8000000 (/ (pow x 3) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 4) y)) (* -8000000 (pow x 3))) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	((- x (/ y 200)) (/ y -200) (+ (* (* 1/200 y) (/ (* 1/200 y) (- (* -1/200 y) x))) (neg (* x (/ x (- (* -1/200 y) x))))) (neg (* x (/ x (- (* -1/200 y) x)))) (/ (* 1/200 y) (- (* -1/200 y) x)) (* 1/200 y) (* -1/200 y) (/ x (- (* -1/200 y) x)))
4.0ms	y	@	0	((- x (/ y 200)) (/ y -200) (+ (* (* 1/200 y) (/ (* 1/200 y) (- (* -1/200 y) x))) (neg (* x (/ x (- (* -1/200 y) x))))) (neg (* x (/ x (- (* -1/200 y) x)))) (/ (* 1/200 y) (- (* -1/200 y) x)) (* 1/200 y) (* -1/200 y) (/ x (- (* -1/200 y) x)))
3.0ms	y	@	inf	((- x (/ y 200)) (/ y -200) (+ (* (* 1/200 y) (/ (* 1/200 y) (- (* -1/200 y) x))) (neg (* x (/ x (- (* -1/200 y) x))))) (neg (* x (/ x (- (* -1/200 y) x)))) (/ (* 1/200 y) (- (* -1/200 y) x)) (* 1/200 y) (* -1/200 y) (/ x (- (* -1/200 y) x)))
2.0ms	y	@	-inf	((- x (/ y 200)) (/ y -200) (+ (* (* 1/200 y) (/ (* 1/200 y) (- (* -1/200 y) x))) (neg (* x (/ x (- (* -1/200 y) x))))) (neg (* x (/ x (- (* -1/200 y) x)))) (/ (* 1/200 y) (- (* -1/200 y) x)) (* 1/200 y) (* -1/200 y) (/ x (- (* -1/200 y) x)))
1.0ms	x	@	-inf	((- x (/ y 200)) (/ y -200) (+ (* (* 1/200 y) (/ (* 1/200 y) (- (* -1/200 y) x))) (neg (* x (/ x (- (* -1/200 y) x))))) (neg (* x (/ x (- (* -1/200 y) x)))) (/ (* 1/200 y) (- (* -1/200 y) x)) (* 1/200 y) (* -1/200 y) (/ x (- (* -1/200 y) x)))

simplify167.0ms (3.9%)

Memory

15.8MiB live, 204.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	1173
1	1184	1141
2	3539	1101
0	8554	1002

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

Inputs
(* -1/200 y)
(- x (* 1/200 y))
(+ x (* -1/200 y))
(* 200 (/ (pow x 2) y))
(* (pow x 2) (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
-1
(- (* 200 (/ x y)) 1)
(- (* x (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))) 1)
(* -200 (/ x y))
(* x (- (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(* x (- (* x (+ (* -8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(* x (- (* x (+ (* x (- (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
x
(* x (+ 1 (* -1/200 (/ y x))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ (* 1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(* -1/200 (/ y x))
(/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (* 1/40000 (/ (pow y 2) x)))) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (+ (* 1/1600000000 (/ (pow y 4) (pow x 3))) (* 1/40000 (/ (pow y 2) x))))) x)
(- (* 1/200 (/ y x)) 1)
(- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* -1/200 (/ y x))))
(- (* 1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) x)) (* -1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3))) x)) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* -1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/8000000 (/ (pow y 3) x))) x)) (* -1/200 y)) x)) 1)))
(* -1 (/ (+ (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/1600000000 (/ (pow y 4) x)) (* 1/8000000 (pow y 3))) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1)
(- (* -1/200 y) (* -1 x))
(- (* y (- (* 1/40000 (/ y x)) 1/200)) (* -1 x))
(- (* y (- (* y (+ (* -1/8000000 (/ y (pow x 2))) (* 1/40000 (/ 1 x)))) 1/200)) (* -1 x))
(* y (- (* 1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x))))
(* y (- (* y (+ (* -1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(* y (- (* y (+ (* y (- (* 1/1600000000 (/ y (pow x 4))) (* 1/8000000 (/ 1 (pow x 3))))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(* 1/200 y)
(- (* y (+ (* -1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x)))) 1)
(- (* y (+ (* y (- (* 1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x)))) 1)
(* y (- (/ x y) 1/200))
(* y (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))
(* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 40000 (pow x 3))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))
(/ (- (* -40000 (/ (pow x 3) y)) (* -200 (pow x 2))) y)
(/ (- (* 8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y)))) y)
(/ (- (* -1600000000 (/ (pow x 5) (pow y 3))) (+ (* -8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y))))) y)
(- (* -40000 (/ (pow x 2) (pow y 2))) (+ 1 (* -200 (/ x y))))
(- (* 8000000 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* -200 (/ x y)) (* 40000 (/ (pow x 2) (pow y 2))))))
(/ (+ (* -200 x) (* 40000 (/ (pow x 2) y))) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (* 40000 (/ (pow x 2) y)))) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (+ (* 40000 (/ (pow x 2) y)) (* 1600000000 (/ (pow x 4) (pow y 3)))))) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (* 40000 (/ (pow x 3) (pow y 2))))) y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (+ (* -1 (/ (+ (* -8000000 (pow x 4)) (* 8000000 (pow x 4))) (pow y 3))) (* 40000 (/ (pow x 3) (pow y 2)))))) y)))))
(* -1 (/ (- (* 40000 (/ (pow x 3) y)) (* 200 (pow x 2))) y))
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 8000000 (/ (pow x 4) y))) y)) (* 200 (pow x 2))) y))
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* -1 (/ (+ (* -8000000 (pow x 4)) (* 1600000000 (/ (pow x 5) y))) y))) y)) (* 200 (pow x 2))) y))
(- (* -1 (/ (- (* 40000 (/ (pow x 2) y)) (* 200 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 3) y)) (* 40000 (pow x 2))) y)) (* 200 x)) y)) 1)
(* -1 (/ (+ (* -40000 (/ (pow x 2) y)) (* 200 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -8000000 (/ (pow x 3) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 4) y)) (* -8000000 (pow x 3))) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))

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)
(* 200 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 200 binary64))
(* (pow x 2) (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x) x)
(* (pow x 2) (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(.f64 (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 8000000 binary64) (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal -40000 binary64) (*.f64 y y))) x (/.f64 #s(literal 200 binary64) y)) x) x)
(* (pow x 2) (+ (* x (- (* x (+ (* -1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1600000000 binary64) (/.f64 #s(literal 8000000 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -40000 binary64) (*.f64 y y))) x (/.f64 #s(literal 200 binary64) y)) x) x)
-1
#s(literal -1 binary64)
(- (* 200 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal 200 binary64) #s(literal -1 binary64))
(- (* x (+ (* -40000 (/ x (pow y 2))) (* 200 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x #s(literal -1 binary64))
(- (* x (+ (* x (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 8000000 binary64) (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal -40000 binary64) (*.f64 y y))) x (/.f64 #s(literal 200 binary64) y)) x #s(literal -1 binary64))
(* -200 (/ x y))
(*.f64 #s(literal -200 binary64) (/.f64 x y))
(* x (- (* 40000 (/ x (pow y 2))) (* 200 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 40000 binary64) (.f64 y y)) x (/.f64 #s(literal -200 binary64) y)) x)
(* x (- (* x (+ (* -8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 #s(literal -8000000 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 40000 binary64) (.f64 y y))) x (/.f64 #s(literal -200 binary64) y)) x)
(* x (- (* x (+ (* x (- (* 1600000000 (/ x (pow y 4))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))) (* 200 (/ 1 y))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1600000000 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -8000000 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal 40000 binary64) (.f64 y y))) x (/.f64 #s(literal -200 binary64) y)) x)
x
(* x (+ 1 (* -1/200 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (+ (* 1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(fma.f64 (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)) x) x x)
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/8000000 (/ (pow y 3) (pow x 3))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1/8000000 binary64) (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)) x)) x x)
(* -1/200 (/ y x))
(*.f64 (/.f64 y x) #s(literal -1/200 binary64))
(/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)
(/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (* 1/40000 (/ (pow y 2) x)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/8000000 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y))) x)
(/ (+ (* -1/200 y) (+ (* -1/8000000 (/ (pow y 3) (pow x 2))) (+ (* 1/1600000000 (/ (pow y 4) (pow x 3))) (* 1/40000 (/ (pow y 2) x))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1/8000000 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/1600000000 binary64) (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)))) x)
(- (* 1/200 (/ y x)) 1)
(fma.f64 (/.f64 y x) #s(literal 1/200 binary64) #s(literal -1 binary64))
(- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* -1/200 (/ y x))))
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/40000 binary64) (/.f64 #s(literal 1/200 binary64) x)) y #s(literal -1 binary64))
(- (* 1/8000000 (/ (pow y 3) (pow x 3))) (+ 1 (+ (* -1/200 (/ y x)) (* 1/40000 (/ (pow y 2) (pow x 2))))))
(fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/40000 binary64) (/.f64 #s(literal 1/200 binary64) x)) y #s(literal -1 binary64)))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) x)) (* -1/200 y)) x)) 1)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3))) x)) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* -1/200 y)) x)) 1)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/200 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1/200 y) (* 1/40000 (/ (pow y 2) x))) x)) 1)))
(fma.f64 (/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)) x) x x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/8000000 (/ (pow y 3) x))) x)) (* -1/200 y)) x)) 1)))
(.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/200 binary64) y (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/8000000 binary64))) x))) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1/40000 (/ (pow y 2) x)) (* 1/200 y)) x))
(/.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/40000 binary64) (.f64 #s(literal -1/200 binary64) y)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(/.f64 (fma.f64 #s(literal -1/200 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/8000000 binary64) (.f64 #s(literal 1/40000 binary64) (.f64 y y))) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/1600000000 (/ (pow y 4) x)) (* 1/8000000 (pow y 3))) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x))
(/.f64 (fma.f64 #s(literal 1/200 binary64) y (/.f64 (fma.f64 (.f64 #s(literal -1/40000 binary64) y) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal -1/1600000000 binary64) (.f64 #s(literal 1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) x)) (neg.f64 x))
(- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* 1/200 y)) x)) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/40000 binary64) (/.f64 #s(literal 1/200 binary64) x)) y #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 1/8000000 (/ (pow y 3) x)) (* 1/40000 (pow y 2))) x)) (* 1/200 y)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/200 binary64) y (/.f64 (fma.f64 #s(literal -1/40000 binary64) (.f64 y y) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/8000000 binary64))) x))) x))
(- (* -1/200 y) (* -1 x))
(fma.f64 #s(literal -1/200 binary64) y x)
(- (* y (- (* 1/40000 (/ y x)) 1/200)) (* -1 x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/40000 binary64) x) y #s(literal -1/200 binary64)) y x)
(- (* y (- (* y (+ (* -1/8000000 (/ y (pow x 2))) (* 1/40000 (/ 1 x)))) 1/200)) (* -1 x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/8000000 binary64) (/.f64 #s(literal 1/40000 binary64) x)) y #s(literal -1/200 binary64)) y x)
(* y (- (* 1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/40000 binary64) x) x) y (/.f64 #s(literal -1/200 binary64) x)) y)
(* y (- (* y (+ (* -1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -1/8000000 binary64) (/.f64 (/.f64 #s(literal 1/40000 binary64) x) x)) y (/.f64 #s(literal -1/200 binary64) x)) y)
(* y (- (* y (+ (* y (- (* 1/1600000000 (/ y (pow x 4))) (* 1/8000000 (/ 1 (pow x 3))))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/1600000000 binary64) (/.f64 #s(literal -1/8000000 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1/40000 binary64) x) x)) y (/.f64 #s(literal -1/200 binary64) x)) y)
(* 1/200 y)
(*.f64 #s(literal 1/200 binary64) y)
(- (* y (+ (* -1/40000 (/ y (pow x 2))) (* 1/200 (/ 1 x)))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal -1/40000 binary64) (/.f64 #s(literal 1/200 binary64) x)) y #s(literal -1 binary64))
(- (* y (+ (* y (- (* 1/8000000 (/ y (pow x 3))) (* 1/40000 (/ 1 (pow x 2))))) (* 1/200 (/ 1 x)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8000000 binary64) (/.f64 #s(literal -1/40000 binary64) (*.f64 x x))) y (/.f64 #s(literal 1/200 binary64) x)) y #s(literal -1 binary64))
(* y (- (/ x y) 1/200))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)
(* y (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)
(* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 40000 (pow x 3))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))
(.f64 (-.f64 #s(literal -1/200 binary64) (fma.f64 (.f64 x (/.f64 x (*.f64 y y))) #s(literal 0 binary64) (/.f64 (neg.f64 x) y))) y)
(/ (- (* -40000 (/ (pow x 3) y)) (* -200 (pow x 2))) y)
(.f64 (.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x) x)
(/ (- (* 8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y)))) y)
(fma.f64 #s(literal 8000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x) x))
(/ (- (* -1600000000 (/ (pow x 5) (pow y 3))) (+ (* -8000000 (/ (pow x 4) (pow y 2))) (+ (* -200 (pow x 2)) (* 40000 (/ (pow x 3) y))))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1600000000 binary64) (fma.f64 (/.f64 #s(literal 8000000 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 (.f64 #s(literal 200 binary64) x) x (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -40000 binary64))))) y)
(- (* -40000 (/ (pow x 2) (pow y 2))) (+ 1 (* -200 (/ x y))))
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x #s(literal -1 binary64))
(- (* 8000000 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* -200 (/ x y)) (* 40000 (/ (pow x 2) (pow y 2))))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8000000 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x #s(literal -1 binary64)))
(/ (+ (* -200 x) (* 40000 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 #s(literal -200 binary64) x (.f64 #s(literal 40000 binary64) (/.f64 (.f64 x x) y))) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (* 40000 (/ (pow x 2) y)))) y)
(/.f64 (fma.f64 #s(literal -200 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -8000000 binary64) (.f64 #s(literal 40000 binary64) (.f64 x x))) y)) y)
(/ (+ (* -8000000 (/ (pow x 3) (pow y 2))) (+ (* -200 x) (+ (* 40000 (/ (pow x 2) y)) (* 1600000000 (/ (pow x 4) (pow y 3)))))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1600000000 binary64) (fma.f64 #s(literal -200 binary64) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -8000000 binary64) (.f64 #s(literal 40000 binary64) (.f64 x x))) y))) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (* 40000 (/ (pow x 3) (pow y 2))))) y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)
(* -1 (* y (+ 1/200 (* -1 (/ (+ x (+ (* -40000 (/ (pow x 3) (pow y 2))) (+ (* -1 (/ (+ (* -8000000 (pow x 4)) (* 8000000 (pow x 4))) (pow y 3))) (* 40000 (/ (pow x 3) (pow y 2)))))) y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)
(* -1 (/ (- (* 40000 (/ (pow x 3) y)) (* 200 (pow x 2))) y))
(.f64 (.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x) x)
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* 8000000 (/ (pow x 4) y))) y)) (* 200 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 8000000 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -40000 binary64))) y) (.f64 #s(literal -200 binary64) (*.f64 x x))) y)
(* -1 (/ (- (* -1 (/ (+ (* -40000 (pow x 3)) (* -1 (/ (+ (* -8000000 (pow x 4)) (* 1600000000 (/ (pow x 5) y))) y))) y)) (* 200 (pow x 2))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -40000 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1600000000 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -8000000 binary64))) (neg.f64 y))) y) (.f64 #s(literal -200 binary64) (*.f64 x x))) y)
(- (* -1 (/ (- (* 40000 (/ (pow x 2) y)) (* 200 x)) y)) 1)
(fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -40000 binary64) (/.f64 #s(literal 200 binary64) y)) x #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8000000 (/ (pow x 3) y)) (* 40000 (pow x 2))) y)) (* 200 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal 200 binary64) x (/.f64 (fma.f64 #s(literal -40000 binary64) (.f64 x x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 8000000 binary64))) y)) y) #s(literal 1 binary64))
(* -1 (/ (+ (* -40000 (/ (pow x 2) y)) (* 200 x)) y))
(/.f64 (fma.f64 #s(literal -200 binary64) x (.f64 #s(literal 40000 binary64) (/.f64 (.f64 x x) y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -8000000 (/ (pow x 3) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))
(/.f64 (fma.f64 #s(literal 200 binary64) x (/.f64 (fma.f64 #s(literal -40000 binary64) (.f64 x x) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 8000000 binary64))) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1600000000 (/ (pow x 4) y)) (* -8000000 (pow x 3))) y)) (* -40000 (pow x 2))) y)) (* 200 x)) y))
(/.f64 (fma.f64 #s(literal -200 binary64) x (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -40000 binary64) x) x (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8000000 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1600000000 binary64))) y))) y)) y)

rewrite182.0ms (4.3%)

Memory

-9.3MiB live, 272.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	28	67
1	117	49
2	960	48
0	8567	44

Stop Event

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

Counts

8 → 470

Calls

Call 1

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

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

eval110.0ms (2.6%)

Memory: -7.6MiB live, 186.7MiB allocated
Compiler: Compiled 16 644 to 1 570 computations (90.6% saved)

prune8.0ms (0.2%)

Memory

30.2MiB live, 30.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	517	1	518
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	518	4	522

Accuracy

100.0%

Counts

522 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	51.7%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
▶	90.0%	#s(approx (- x (/ y 200)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y))
✓	51.6%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify202.0ms (4.7%)

Memory

-22.8MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1/200 binary64))
cost-diff	0	#s(approx (- x (/ y 200)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y))
cost-diff	3	(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	13	31
1	19	31
2	36	31
3	52	31
4	67	31
5	94	27
6	133	27
7	223	27
8	630	27
9	2666	27
10	4018	27
11	5048	27
12	5607	27
13	6120	27
14	6734	27
0	8038	24

Stop Event

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

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

30.0MiB live, 30.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	#s(approx (- x (/ y 200)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y))
accuracy	0.015625	(-.f64 (/.f64 x y) #s(literal 1/200 binary64))
accuracy	6.427518746179516	(*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y)

Samples

18.0ms

256×

valid

Compiler

Compiled 25 to 11 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (35% of total)

const: 3.0ms (26.2% of total)

ival-sub: 2.0ms (17.5% of total)

ival-mult: 2.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-28.4MiB live, 10.8MiB allocated

Counts

4 → 14

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((* (- (/ x y) 1/200) y) (- x (/ y 200)) (- (/ x y) 1/200) (/ x y))
2.0ms	y	@	inf	((* (- (/ x y) 1/200) y) (- x (/ y 200)) (- (/ x y) 1/200) (/ x y))
1.0ms	x	@	-inf	((* (- (/ x y) 1/200) y) (- x (/ y 200)) (- (/ x y) 1/200) (/ x y))
1.0ms	y	@	-inf	((* (- (/ x y) 1/200) y) (- x (/ y 200)) (- (/ x y) 1/200) (/ x y))
1.0ms	x	@	0	((* (- (/ x y) 1/200) y) (- x (/ y 200)) (- (/ x y) 1/200) (/ x y))

simplify311.0ms (7.3%)

Memory

-11.6MiB live, 122.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	58
1	91	58
2	252	58
3	692	58
4	1630	58
5	2787	58
6	3457	58
7	3789	58
8	4102	58
9	4282	58
10	5594	58
11	6366	58
12	7234	58
13	7554	58
14	7860	58
0	8478	52

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite163.0ms (3.8%)

Memory

30.4MiB live, 219.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	13	28
1	61	28
2	461	28
3	5170	24
0	8591	21

Stop Event

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

Counts

4 → 222

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/40000 binary64)) y) (+.f64 #s(literal 1/8000000 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/200 binary64) (/.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/40000 binary64)) y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/40000 binary64))) (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8000000 binary64)) y) (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8000000 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal -6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) (-.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/200 binary64) y) (fma.f64 #s(literal 1/200 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8000000 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/200 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/200 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (.f64 x x)) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/200 binary64) y) (-.f64 (.f64 #s(literal 1/200 binary64) y) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/40000 binary64)) y) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1/200 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8000000 binary64)) y) (pow.f64 (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal -1/40000 binary64) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 #s(literal 1/200 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 1/200 binary64) y x) (/.f64 (fma.f64 #s(literal -1/200 binary64) y x) (fma.f64 #s(literal 1/200 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/200 binary64) y x) (.f64 (fma.f64 #s(literal -1/200 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/200 binary64) y x) #s(literal -1 binary64))))
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(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal -1/200 binary64))
(fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal -6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) (-.f64 (fma.f64 #s(literal 1/200 binary64) (/.f64 x y) #s(literal 1/40000 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1/8000000 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/200 binary64) (/.f64 x y))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/40000 binary64))) (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/200 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal -1/200 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1/200 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal -1/200 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1/200 binary64))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1/200 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1/200 binary64))
(fma.f64 (/.f64 x y) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1/200 binary64))
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal -1/200 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 #s(literal -1/200 binary64) (/.f64 x y)))) (/.f64 #s(literal 1/8000000 binary64) (-.f64 (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 #s(literal -1/200 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(-.f64 #s(literal -1/200 binary64) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 x y) #s(literal 1/200 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1/200 binary64))) (neg.f64 (/.f64 #s(literal 1/40000 binary64) (-.f64 (/.f64 x y) #s(literal -1/200 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/8000000 binary64) (fma.f64 (/.f64 #s(literal 1/200 binary64) y) x (+.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(+.f64 #s(literal -1/200 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1/200 binary64))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x)))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (neg.f64 y) x))))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))

eval32.0ms (0.8%)

Memory: -24.9MiB live, 61.0MiB allocated
Compiler: Compiled 6 264 to 935 computations (85.1% saved)

prune5.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	227	4	231

Accuracy

100.0%

Counts

231 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	51.7%	#s(approx (- x (/ y 200)) (/.f64 y #s(literal -200 binary64)))
✓	90.0%	#s(approx (- x (/ y 200)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1/200 binary64)) y))
✓	51.6%	#s(approx (- x (/ y 200)) (*.f64 #s(literal -1/200 binary64) y))

Compiler

Compiled 98 to 57 computations (41.8% saved)

regimes13.0ms (0.3%)

Memory

-8.2MiB live, 28.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
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 10 to 13 computations (-30% saved)

regimes116.0ms (2.7%)

Memory

-10.5MiB live, 28.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

111.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	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 10 to 13 computations (-30% saved)

regimes5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
51.6%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify105.0ms (2.5%)

Memory

-2.4MiB live, 35.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
2	31	18
3	50	18
4	74	18
5	98	18
6	167	18
7	496	18
8	2381	18
9	7634	18

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness427.0ms (10%)

Memory

-9.5MiB live, 150.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	180	37
3	462	37
4	1255	37
5	2541	37
6	3375	37
7	3711	37
8	4007	37
9	4188	37
10	5342	37
11	6138	37
12	6906	37
13	7174	37
14	7954	37
0	8490	31
0	5	8
0	7	8
1	32	8
2	248	8
3	4065	8
0	8183	7

Stop Event

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess178.0ms (4.2%)

Memory: -12.2MiB live, 75.9MiB allocated
Compiler: Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	254	25
5	298	25
6	307	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	129	5
8	190	5
9	224	5
10	257	5
11	258	5
0	258	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	129	11
8	190	11
9	224	11
10	257	11
11	258	11
0	258	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	138	20
8	199	20
9	233	20
10	266	20
11	267	20
0	267	20

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	254	25
5	298	25
6	307	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	129	5
8	190	5
9	224	5
10	257	5
11	258	5
0	258	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	129	11
8	190	11
9	224	11
10	257	11
11	258	11
0	258	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	138	20
8	199	20
9	233	20
10	266	20
11	267	20
0	267	20

start0.0ms (0%)

analyze0.0ms (0%)

sample669.0ms (15.7%)

explain156.0ms (3.7%)

preprocess22.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify203.0ms (4.8%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

simplify296.0ms (7%)

rewrite175.0ms (4.1%)

eval16.0ms (0.4%)

prune2.0ms (0.1%)

simplify9.0ms (0.2%)

localize29.0ms (0.7%)

series2.0ms (0.1%)

simplify205.0ms (4.8%)

rewrite151.0ms (3.5%)

eval15.0ms (0.4%)

prune3.0ms (0.1%)

simplify133.0ms (3.1%)

localize48.0ms (1.1%)

series43.0ms (1%)

simplify167.0ms (3.9%)

rewrite182.0ms (4.3%)

eval110.0ms (2.6%)

prune8.0ms (0.2%)

simplify202.0ms (4.7%)

localize24.0ms (0.6%)

series12.0ms (0.3%)

simplify311.0ms (7.3%)

rewrite163.0ms (3.8%)

eval32.0ms (0.8%)

prune5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes116.0ms (2.7%)

regimes5.0ms (0.1%)

simplify105.0ms (2.5%)

soundness427.0ms (10%)

preprocess178.0ms (4.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	254	25
5	298	25
6	307	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	129	5
8	190	5
9	224	5
10	257	5
11	258	5
0	258	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	129	11
8	190	11
9	224	11
10	257	11
11	258	11
0	258	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	138	20
8	199	20
9	233	20
10	266	20
11	267	20
0	267	20