Metrics for A quarter-circle in the lower-left quadrant

start0.0ms (0%)

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

analyze83.0ms (4%)

Memory

41.3MiB live, 122.2MiB allocated; 15ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
51.6%	51.5%	48.4%	0.1%	0%	0%	0%	8
67.2%	67.1%	32.8%	0.1%	0%	0%	0%	9
74.6%	74.5%	25.4%	0.1%	0%	0%	0%	10
83.2%	83.1%	16.8%	0.1%	0%	0%	0%	11
87%	86.9%	13%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample935.0ms (45.5%)

Memory

24.8MiB live, 861.9MiB allocated; 784ms collecting garbage

Samples

410.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-pow2: 137.0ms (64.2% of total)

ival-sub: 31.0ms (14.5% of total)

ival-add: 28.0ms (13.1% of total)

ival-fmax: 7.0ms (3.3% of total)

exact: 4.0ms (1.9% of total)

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

adjust: 2.0ms (0.9% of total)

Bogosity

explain119.0ms (5.8%)

Memory

-11.1MiB live, 179.2MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))`
-	-	`(pow.f64 x #s(literal 2 binary64))`
-	-	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
-	-	`(pow.f64 y #s(literal 2 binary64))`
-	-	`(fmax.f64 x y)`
-	-	`#s(literal 1/2 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

40.0ms

512×

valid

Compiler

Compiled 101 to 34 computations (66.3% saved)

Precisions

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

ival-pow2: 10.0ms (47.7% of total)

ival-fmax: 5.0ms (23.9% of total)

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

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

exact: 1.0ms (4.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess290.0ms (14.1%)

Memory

34.2MiB live, 170.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	44	84
2	88	84
3	163	84
4	222	84
5	360	84
6	883	84
7	5953	84
0	10	13
0	16	13
1	23	13
2	45	13
3	101	13
4	201	13
5	336	13
6	833	13
7	5603	13
0	8964	13

Stop Event

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

Calls

Call 1

Inputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs

(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

(fmax.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 y y))) (fmax.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

series14.0ms (0.7%)

Memory

-50.2MiB live, 9.3MiB allocated; 15ms collecting garbage

Counts

10 → 18

Calls

Call 1

Inputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)

Outputs
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (fmax x y) #s(hole binary64 (fmax x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2)))
#s(approx (pow y 2) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))
1.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) (pow y 2) y 2 (pow x 2) x 1/2 (fmax x y))

rewrite85.0ms (4.2%)

Memory

45.2MiB live, 91.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	312
0	61	308
1	240	300
0	1950	292

Stop Event

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

Counts

28 → 94

Calls

Call 1

Inputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (fmax x y) #s(hole binary64 (fmax x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2)))
#s(approx (pow y 2) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Outputs
(fmax.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y)) (fmax.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 1/2 binary64)) (-.f64 (.f64 y y) #s(literal 1/2 binary64)))) (-.f64 (.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) #s(literal 1/2 binary64)))) (-.f64 (.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 y y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 y y) #s(literal 1/2 binary64)) (-.f64 (.f64 y y) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 y y) (-.f64 (*.f64 x x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (.f64 x x) (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (.f64 x x) (*.f64 y y)) #s(literal 2 binary64))))
(-.f64 (ratio-square-sum.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) (ratio-square-sum.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal -1/2 binary64)))) (pow.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y))
(+.f64 (-.f64 (.f64 y y) #s(literal 1/2 binary64)) (.f64 x x))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) #s(literal -1/2 binary64))
(+.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/2 binary64)))
(+.f64 (.f64 y y) (-.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (ratio-square-sum.f64 (.f64 y y) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (ratio-square-sum.f64 (.f64 x x) (.f64 (neg.f64 y) y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 2 binary64)
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/2 binary64)
(fmax.f64 x y)
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y)) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (+ (pow y 2) (pow x 2)) (+.f64 (.f64 x x) (.f64 y y)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (-.f64 (-.f64 (ratio-of-squares.f64 y x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 y x) #s(literal -1 binary64)) x) x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (pow y 2) (*.f64 y y))
#s(approx y y)
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (-.f64 (-.f64 (ratio-of-squares.f64 x y) #s(literal -1 binary64)) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 y y)))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 x y) #s(literal -1 binary64)) y) y))

eval102.0ms (5%)

Memory

5.1MiB live, 144.5MiB allocated; 20ms collecting garbage

Samples

45.0ms	1 038×	0	valid
21.0ms	498×	0	invalid

Compiler

Compiled 1 927 to 416 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (54.1% of total)

ival-div: 9.0ms (27% of total)

ival-add: 5.0ms (15% of total)

ival-true: 1.0ms (3% of total)

ival-assert: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

prune7.0ms (0.3%)

Memory

-36.9MiB live, 8.5MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	4	100

Accuracy

100.0%

Counts

100 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	70.2%	(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
▶	56.0%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	62.4%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series6.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

16 → 18

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(*.f64 x x)
x
(fmax.f64 x y)
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
(*.f64 y y)
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(literal 1/2 binary64)
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))

Outputs
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (fmax x y) #s(hole binary64 (fmax x y)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) 1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)))
1.0ms	x	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) 1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)))
1.0ms	y	@	-inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) 1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)))
1.0ms	y	@	inf	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) 1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)))
1.0ms	x	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* x x) x (fmax x y) y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (* y y) (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)) 1/2 (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (pow y 2) (pow x 2)))

rewrite82.0ms (4%)

Memory

3.7MiB live, 94.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	424
0	74	420
1	281	412
0	2485	404

Stop Event

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

Counts

34 → 114

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(*.f64 x x)
x
(fmax.f64 x y)
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
(*.f64 y y)
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(literal 1/2 binary64)
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) #s(hole binary64 (fmax (- (+ (pow x 2) (pow y 2)) 1/2) (fmax x y))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow y 2) 1/2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (+ (pow x 2) (pow y 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (fmax x y) #s(hole binary64 (fmax x y)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow y 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow x 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (- (pow x 2) 1/2)))
#s(approx y #s(hole binary64 y))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (pow y 2)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(hole binary64 (* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (+ (pow y 2) (pow x 2)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(fmax.f64 x y)
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
(.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 y (.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 2 binary64))))
(-.f64 (ratio-square-sum.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (ratio-square-sum.f64 #s(literal 1/2 binary64) #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal -1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(literal 1/2 binary64)
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 2 binary64))))
(-.f64 (ratio-square-sum.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 1/2 binary64)) (ratio-square-sum.f64 #s(literal 1/2 binary64) #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64))
(+.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal -1/2 binary64))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (fmax.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y)) (fmax.f64 x y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 y y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (fmax x y) (fmax.f64 x y))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y))
#s(approx (+ (pow y 2) (pow x 2)) (+.f64 (.f64 x x) (.f64 y y)))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (-.f64 (-.f64 (ratio-of-squares.f64 y x) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 y x) #s(literal -1 binary64)) x) x))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx y y)
#s(approx (* y y) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 (-.f64 (-.f64 (ratio-of-squares.f64 x y) #s(literal -1 binary64)) (.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 y y)))
#s(approx (+ (pow y 2) (pow x 2)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 x y) #s(literal -1 binary64)) y) y))

eval112.0ms (5.5%)

Memory

25.1MiB live, 165.6MiB allocated; 20ms collecting garbage

Samples

55.0ms	1 260×	0	valid
13.0ms	276×	0	invalid

Compiler

Compiled 4 575 to 625 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (51.7% of total)

ival-div: 9.0ms (29.1% of total)

ival-add: 5.0ms (16.2% of total)

ival-true: 1.0ms (3.2% of total)

ival-assert: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

prune12.0ms (0.6%)

Memory

-24.9MiB live, 20.6MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	215	4	219

Accuracy

100.0%

Counts

219 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.1%	(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	70.2%	(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
✓	56.0%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	62.4%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Compiler

Compiled 149 to 76 computations (49% saved)

regimes7.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs

(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))

(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Calls

3 calls:

2.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
70.2%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
92.7%	3	`x`
92.6%	3	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes10.0ms (0.5%)

Memory

-41.6MiB live, 8.1MiB allocated; 11ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Outputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

(fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Calls

2 calls:

8.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
92.6%	3	`y`
84.5%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Outputs

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Calls

3 calls:

1.0ms	(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
62.4%	1	`(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))`
62.4%	1	`x`
62.4%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch34.0ms (1.6%)

Memory

-0.0MiB live, 44.3MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.9884092832343053	13.061969538268011
15.0ms	-78.83801740925328	-0.0005274867734602239

Samples

21.0ms

240×

valid

Compiler

Compiled 526 to 404 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow2: 11.0ms (68.8% of total)

ival-fmax: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% 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)

bsearch33.0ms (1.6%)

Memory

-0.9MiB live, 43.9MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3652033241339363e+82	3.257475961081539e+83
13.0ms	-1.5404870724922042e+99	-2.1100824272941008e+96

Samples

15.0ms

240×

valid

Compiler

Compiled 526 to 404 computations (23.2% saved)

Precisions

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

ival-pow2: 4.0ms (43.1% of total)

ival-fmax: 2.0ms (21.5% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% 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)

bsearch2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.3652033241339363e+82	3.257475961081539e+83
1.0ms	-1.5404870724922042e+99	-2.1100824272941008e+96

Compiler

Compiled 526 to 404 computations (23.2% saved)

simplify46.0ms (2.2%)

Memory

8.0MiB live, 52.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	159
1	58	159
2	84	159
3	142	159
4	254	159
5	629	159
6	3694	159

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
(if (<=.f64 x #s(literal -35/2 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 7/2 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))))
(if (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (if (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))))
(if (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (if (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Outputs
(fmax.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fmax.f64 x y))
(if (<=.f64 x #s(literal -35/2 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (if (<=.f64 x #s(literal 7/2 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (*.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y))))
(if (or (<=.f64 x #s(literal -35/2 binary64)) (not (<=.f64 x #s(literal 7/2 binary64)))) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y)))
(if (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (if (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))))
(if (or (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (not (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)))) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (fmax.f64 (-.f64 #s(approx (+ (pow y 2) (pow x 2)) (.f64 x x)) #s(literal 1/2 binary64)) (fmax.f64 x y)))
(if (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (if (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))))
(if (or (<=.f64 y #s(literal -11500000000000000276981272229422809411276365960301270638740107957998022648630601816663666798362624 binary64)) (not (<=.f64 y #s(literal 21500000000000000729743126133629623003727956579192396148502156031275438040395284480 binary64)))) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 y y)) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (.f64 x x)) (fmax.f64 x y)))
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

derivations18.0ms (0.9%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 159 to 43 computations (73% saved)

preprocess47.0ms (2.3%)

Memory: 1.5MiB live, 58.9MiB allocated; 29ms collecting garbage
Compiler: Compiled 344 to 106 computations (69.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze83.0ms (4%)

sample935.0ms (45.5%)

explain119.0ms (5.8%)

preprocess290.0ms (14.1%)

eval0.0ms (0%)

prune1.0ms (0%)

series14.0ms (0.7%)

rewrite85.0ms (4.2%)

eval102.0ms (5%)

prune7.0ms (0.3%)

series6.0ms (0.3%)

rewrite82.0ms (4%)

eval112.0ms (5.5%)

prune12.0ms (0.6%)

regimes7.0ms (0.3%)

regimes6.0ms (0.3%)

regimes10.0ms (0.5%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

bsearch34.0ms (1.6%)

bsearch33.0ms (1.6%)

bsearch2.0ms (0.1%)

simplify46.0ms (2.2%)

derivations18.0ms (0.9%)

preprocess47.0ms (2.3%)

end0.0ms (0%)

Profiling