Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

sample900.0ms (36.6%)

Memory

2.1MiB live, 1 073.9MiB allocated; 255ms collecting garbage

Samples

571.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-sub: 247.0ms (77.3% of total)

ival-div: 58.0ms (18.2% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

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

adjust: 2.0ms (0.6% of total)

Bogosity

explain60.0ms (2.5%)

Memory

14.3MiB live, 201.1MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
-	-	`y`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 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

30.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 6.0ms (47.3% of total)

ival-sub: 5.0ms (39.4% of total)

ival-true: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.7%)

Memory

-24.2MiB live, 33.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	14	29
2	17	29
0	5	5
0	7	5
0	7	5

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
0	7	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

localize57.0ms (2.3%)

Memory

-23.4MiB live, 23.5MiB allocated; 3ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 y #s(literal 4 binary64))
accuracy	0.0	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 43.0ms (95.3% of total)

ival-sub: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

2 → 9

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(/.f64 y #s(literal 4 binary64))

Outputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+ x (* -1/4 y))
(* 1/4 y)
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- x (/ y 4)) (/ y 4))
1.0ms	y	@	inf	((- x (/ y 4)) (/ y 4))
0.0ms	y	@	0	((- x (/ y 4)) (/ y 4))
0.0ms	x	@	inf	((- x (/ y 4)) (/ y 4))
0.0ms	x	@	-inf	((- x (/ y 4)) (/ y 4))

simplify237.0ms (9.6%)

Memory

-12.8MiB live, 133.8MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	186	37
3	480	37
4	1096	37
5	2468	37
6	3263	37
7	3600	37
8	4833	37
9	6248	37
10	6532	37
11	6630	37
12	6630	37
13	6630	37
14	7087	37
15	7316	37
16	7370	37
17	7370	37
0	8806	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+ x (* -1/4 y))
(* 1/4 y)
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)

rewrite256.0ms (10.4%)

Memory

42.6MiB live, 323.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	24	8
2	162	8
3	1910	8
0	8283	8

Stop Event

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

Counts

2 → 131

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(/.f64 y #s(literal 4 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 y #s(literal -4 binary64)) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 y #s(literal 4 binary64)) x) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 y y) (*.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) (*.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 y y) (*.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 y #s(literal 4 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)))))
(-.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 y y) (*.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))))
(-.f64 (neg.f64 x) (/.f64 y #s(literal -4 binary64)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
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(+.f64 (/.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (*.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(+.f64 (.f64 x (/.f64 x (+.f64 (/.f64 y #s(literal 4 binary64)) x))) (/.f64 (.f64 y y) (*.f64 #s(literal 16 binary64) (+.f64 (/.f64 y #s(literal 4 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3/2 binary64))) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3/2 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 y #s(literal 4 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3/2 binary64))) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x))))
(+.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 y #s(literal -4 binary64))) (sqrt.f64 (/.f64 y #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y #s(literal -16 binary64))))
(*.f64 (sqrt.f64 (/.f64 y #s(literal 4 binary64))) (sqrt.f64 (/.f64 y #s(literal 4 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 16 binary64))))
(pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 y)) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fabs.f64 y)) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal -4 binary64)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (/.f64 (*.f64 y y) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) y)) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -16 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 4 binary64))))
(/.f64 (fabs.f64 y) #s(literal 4 binary64))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(/.f64 y #s(literal 4 binary64))
(neg.f64 (/.f64 y #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y #s(literal -4 binary64)))
(fabs.f64 (/.f64 y #s(literal 4 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 4 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 y #s(literal 4 binary64)))) (sinh.f64 (log.f64 (/.f64 y #s(literal 4 binary64)))))

eval31.0ms (1.3%)

Memory: -18.3MiB live, 28.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 837 to 401 computations (91.7% saved)

prune2.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	2	135

Accuracy

100.0%

Counts

135 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
▶	47.5%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify5.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) y x)
cost-diff	0	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) y)
cost-diff	0	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	12	31
1	14	31
2	21	31
3	28	31
4	37	31
5	39	31
6	43	31
7	46	31
0	46	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)
#s(literal -1/4 binary64)
y
x

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)
#s(literal -1/4 binary64)
y
x

localize73.0ms (3%)

Memory

-25.5MiB live, 28.6MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal -1/4 binary64) y x)
accuracy	0.0	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) y)
accuracy	33.56822833813271	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Samples

67.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 55.0ms (91.6% of total)

ival-sub: 2.0ms (3.3% of total)

ival-mult: 2.0ms (3.3% of total)

ival-add: 1.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

4 → 8

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)

Outputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- x (/ y 4)) (* -1/4 y) (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	y	@	-inf	((- x (/ y 4)) (* -1/4 y) (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	x	@	inf	((- x (/ y 4)) (* -1/4 y) (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	y	@	0	((- x (/ y 4)) (* -1/4 y) (- x (/ y 4)) (+ (* -1/4 y) x))
0.0ms	x	@	-inf	((- x (/ y 4)) (* -1/4 y) (- x (/ y 4)) (+ (* -1/4 y) x))

simplify236.0ms (9.6%)

Memory

2.2MiB live, 88.6MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	68	34
2	186	34
3	480	34
4	1096	34
5	2493	34
6	3288	34
7	3630	34
8	4865	34
9	6304	34
10	6590	34
11	6688	34
12	6688	34
13	6688	34
14	7135	34
15	7346	34
16	7400	34
17	7400	34
0	8836	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
(+ x (* -1/4 y))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(fma.f64 #s(literal -1/4 binary64) y x)
(* y (- (/ x y) 1/4))
(fma.f64 #s(literal -1/4 binary64) y x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/4 binary64) y x)

rewrite178.0ms (7.2%)

Memory

15.4MiB live, 160.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	12	26
1	41	26
2	291	26
3	3314	26
0	9056	26

Stop Event

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

Counts

4 → 117

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 #s(literal -1/4 binary64) y x)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 (fabs.f64 (fabs.f64 y)) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) y))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/4 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/4 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) y)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) y)))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))
(.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/16 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 1/16 binary64) y)))
(*.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/4 binary64))
(*.f64 (fabs.f64 y) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (fabs.f64 (fabs.f64 y)))
(*.f64 #s(literal 1/4 binary64) (fabs.f64 y))
(*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) y)))
(fabs.f64 (*.f64 #s(literal 1/4 binary64) y))
(fabs.f64 (*.f64 #s(literal -1/4 binary64) y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))) (sinh.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y))))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal -1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(.f64 (fma.f64 #s(literal -1/4 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) y x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/16 binary64) (.f64 y y))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x)))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) y x))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x)))))))
(/.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 #s(literal -1/16 binary64) (.f64 y y)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) y) x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/16 binary64) (.f64 y y))) (-.f64 x (*.f64 #s(literal -1/4 binary64) y)))
(/.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) y) x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))
(neg.f64 (fma.f64 #s(literal -1/4 binary64) y x))
(fma.f64 (fabs.f64 (fabs.f64 y)) #s(literal 1/4 binary64) x)
(fma.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) y))) (sqrt.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) y))) x)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/4 binary64) y)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) y)) x)
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) y)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) y)) x)
(fma.f64 (sqrt.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1/4 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/16 binary64) y)) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal 1/16 binary64) y)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 (exp.f64 (log.f64 #s(literal -1/4 binary64))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/4 binary64))) x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/4 binary64) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (-.f64 (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x (fma.f64 #s(literal -1/4 binary64) y x))) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/4 binary64) y x) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 (fabs.f64 y) #s(literal 1/4 binary64) x)
(fma.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 #s(literal 1/4 binary64) (fabs.f64 (fabs.f64 y)) x)
(fma.f64 #s(literal 1/4 binary64) (fabs.f64 y) x)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3/2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 (.f64 #s(literal 1/4 binary64) y) (/.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) y) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 y (/.f64 (.f64 #s(literal 1/16 binary64) y) (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/4 binary64) y))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal -1/4 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(-.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (.f64 #s(literal -1/4 binary64) y)) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (-.f64 x (*.f64 #s(literal -1/4 binary64) y)) x))))
(+.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))

eval13.0ms (0.5%)

Memory: 17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 298 to 422 computations (87.2% saved)

prune35.0ms (1.4%)

Memory

-34.8MiB live, 9.4MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	118	2	120

Accuracy

100.0%

Counts

120 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
✓	47.5%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes7.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))

Calls

4 calls:

2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	y
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 y #s(literal 4 binary64))`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Calls

4 calls:

1.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
1.0ms	x
1.0ms	(/.f64 y #s(literal 4 binary64))
1.0ms	y

Results

Accuracy	Segments	Branch
47.5%	1	`(/.f64 y #s(literal 4 binary64))`
47.5%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
47.5%	1	`x`
47.5%	1	`y`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify15.0ms (0.6%)

Memory

-22.3MiB live, 22.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
#s(approx (- x (/ y 4)) (fma.f64 #s(literal -1/4 binary64) y x))
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

derivations287.0ms (11.7%)

Memory

-3.5MiB live, 195.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	186	37
3	480	37
4	1096	37
5	2468	37
6	3263	37
7	3600	37
8	4833	37
9	6248	37
10	6532	37
11	6630	37
12	6630	37
13	6630	37
14	7087	37
15	7316	37
16	7370	37
17	7370	37
0	8806	31

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess32.0ms (1.3%)

Memory: 13.4MiB live, 66.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 48 to 30 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample900.0ms (36.6%)

explain60.0ms (2.5%)

preprocess18.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize57.0ms (2.3%)

series3.0ms (0.1%)

simplify237.0ms (9.6%)

rewrite256.0ms (10.4%)

eval31.0ms (1.3%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

localize73.0ms (3%)

series2.0ms (0.1%)

simplify236.0ms (9.6%)

rewrite178.0ms (7.2%)

eval13.0ms (0.5%)

prune35.0ms (1.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

simplify15.0ms (0.6%)

derivations287.0ms (11.7%)

preprocess32.0ms (1.3%)

end0.0ms (0%)

Profiling