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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 15 to 11 computations (26.7% saved)

sample1.4s (49.7%)

Memory

17.3MiB live, 1 115.5MiB allocated; 1.3s collecting garbage

Samples

1.1s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 392.0ms

ival-pow2: 182.0ms (46.4% of total)

ival-fmax: 115.0ms (29.3% of total)

ival-add: 40.0ms (10.2% of total)

ival-sub: 39.0ms (10% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain120.0ms (4.3%)

Memory

24.2MiB live, 171.9MiB 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

37.0ms

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 (47.2% of total)

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

ival-sub: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% 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)

preprocess278.0ms (10%)

Memory

-7.2MiB live, 176.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	75
1	39	71
2	84	71
3	159	71
4	218	71
5	356	71
6	879	71
7	5949	71
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	11

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

series6.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms 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
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))
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))

simplify135.0ms (4.9%)

Memory

-0.1MiB live, 143.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	234
1	91	234
2	265	234
3	1551	234
0	8824	200

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

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

rewrite46.0ms (1.7%)

Memory

8.8MiB live, 52.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
0	16	42
1	61	42
0	442	39

Stop Event

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

Counts

10 → 64

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
(fmax.f64 (-.f64 (fma.f64 x x (*.f64 y y)) #s(literal 1/2 binary64)) (fmax.f64 x y))
(/.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 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 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) (neg.f64 y) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x x (-.f64 (*.f64 y y) #s(literal 1/2 binary64)))
(fma.f64 y y (-.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))))
(-.f64 (fma.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 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 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 x x) (.f64 y y)))
(/.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 6 binary64)) (pow.f64 y #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 (-.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 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (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))))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 y x) (-.f64 y x))))
(-.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 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(*.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 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))
(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 (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 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))
(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)

eval17.0ms (0.6%)

Memory: -23.8MiB live, 18.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 484 to 301 computations (79.7% saved)

prune3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Accuracy

100.0%

Counts

84 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) (fmax.f64 x y))
▶	65.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
▶	63.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
▶	55.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))

Compiler

Compiled 73 to 51 computations (30.1% saved)

series6.0ms (0.2%)

Memory

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

Counts

17 → 28

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

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

simplify99.0ms (3.5%)

Memory

-2.9MiB live, 102.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	396
1	114	396
2	385	380
3	1849	380
0	8576	320

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

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

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

rewrite49.0ms (1.8%)

Memory

-1.6MiB live, 41.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	157
0	33	157
1	121	157
0	947	149

Stop Event

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

Counts

17 → 122

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

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 (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) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.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))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(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 (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) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.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))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(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 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 x x #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 x x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x x (.f64 y y)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal -1/2 binary64)) (-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x x (.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 y y #s(literal -1/2 binary64)) (-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (fma.f64 x x #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))
(fma.f64 y y (fma.f64 x x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y #s(literal -1/2 binary64)) (-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y y #s(literal -1/2 binary64)) (-.f64 (fma.f64 y y #s(literal -1/2 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (fma.f64 y y #s(literal -1/2 binary64)) (*.f64 x x))
(+.f64 (fma.f64 x x #s(literal -1/2 binary64)) (*.f64 y y))
(+.f64 #s(literal -1/2 binary64) (fma.f64 x x (*.f64 y y)))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal -1/2 binary64)))
(+.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/2 binary64)))
(+.f64 (fma.f64 x x (*.f64 y y)) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 y y) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal -1/2 binary64))
(fma.f64 y y #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 y y) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y))
(-.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -1/2 binary64))

eval23.0ms (0.8%)

Memory: -8.9MiB live, 34.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 119 to 567 computations (86.2% saved)

prune10.0ms (0.4%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	179	5	184

Accuracy

100.0%

Counts

184 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (fmax.f64 x y))
✓	65.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	63.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	55.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
▶	32.2%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 99 to 70 computations (29.3% saved)

series5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

12 → 27

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
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) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) (+ (* y y) -1/2)) (+ (* y y) -1/2) (* y 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) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) (+ (* y y) -1/2)) (+ (* y y) -1/2) (* y 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) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) (+ (* y y) -1/2)) (+ (* y y) -1/2) (* y 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) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) (+ (* y y) -1/2)) (+ (* y y) -1/2) (* y y))
0.0ms	y	@	0	((fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) -1/2) -1/2 (fmax x y) x y (fmax (- (+ (pow y 2) (pow x 2)) 1/2) (fmax x y)) (- (+ (pow y 2) (pow x 2)) 1/2) (+ (* x x) (+ (* y y) -1/2)) (+ (* y y) -1/2) (* y y))

simplify91.0ms (3.3%)

Memory

-12.7MiB live, 88.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	389
1	112	389
2	383	373
3	1853	373
0	8490	313

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite46.0ms (1.7%)

Memory

-5.3MiB live, 37.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	27	123
1	112	123
0	884	112

Stop Event

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

Counts

12 → 48

Calls

Call 1

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

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64)))
#s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fmax.f64 x y)
x
y
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (fmax.f64 x y))
#s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x x) #s(approx (+ (* y y) -1/2) (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (-.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 x x) #s(approx (+ (* y y) -1/2) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (-.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(approx (+ ( y y) -1/2) (.f64 y y)))) (/.f64 (pow.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 x x) #s(approx (+ (* y y) -1/2) (*.f64 y y)))))
(-.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 (neg.f64 x) x))
(-.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (-.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (-.f64 #s(approx (+ ( y y) -1/2) (.f64 y y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(approx (+ (* y y) -1/2) (.f64 y y)) (.f64 x x))
(+.f64 (.f64 x x) #s(approx (+ ( y y) -1/2) (*.f64 y y)))
#s(approx (+ (* y y) -1/2) (*.f64 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) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.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))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(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))))

eval9.0ms (0.3%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 273 to 289 computations (87.3% saved)

prune11.0ms (0.4%)

Memory

-30.2MiB live, 13.5MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	78	5	83

Accuracy

100.0%

Counts

83 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.6%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (fmax.f64 x y))
✓	65.3%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y))
✓	63.5%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 y y)) (fmax.f64 x y))
✓	55.8%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (*.f64 x x)) (fmax.f64 x y))
✓	32.2%	(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Compiler

Compiled 232 to 112 computations (51.7% saved)

regimes8.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

3.0ms	y
3.0ms	(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

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)

regimes7.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (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	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`(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))`
91.9%	3	`x`
100.0%	3	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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	y

Results

Accuracy	Segments	Branch
93.3%	3	`y`
75.0%	2	`(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 14 to 12 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory

-37.3MiB live, 6.9MiB allocated; 5ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
83.2%	3	`x`
83.7%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

(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
65.4%	2	`(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))`
65.3%	3	`x`
55.8%	1	`y`

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

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

Results

Accuracy	Segments	Branch
32.2%	1	`y`
32.2%	1	`x`
32.2%	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))`

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	115925810954065.02	1.2169699582624111e+32

Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch35.0ms (1.2%)

Memory

-18.9MiB live, 38.8MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	13750693789501344.0	544229150496826240.0
13.0ms	-9.371390869534135e+21	-15535450377366622000.0

Samples

15.0ms

240×

valid

Compiler

Compiled 541 to 419 computations (22.6% saved)

Precisions

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

ival-pow2: 5.0ms (51.9% of total)

ival-fmax: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% 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

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	13750693789501344.0	544229150496826240.0
1.0ms	-9.371390869534135e+21	-15535450377366622000.0

Compiler

Compiled 526 to 404 computations (23.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.4517691684751804e-86	1.3586512201798126e-78

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify44.0ms (1.6%)

Memory

3.8MiB live, 46.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	243
1	76	243
2	136	243
3	232	243
4	322	243
5	644	243
6	3721	243

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) (fmax.f64 x y))
(if (<=.f64 (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)) #s(literal 200000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (fmax.f64 x y)))
(if (<=.f64 y #s(literal -800000000000000000000 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 105000000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.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 -800000000000000000000 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 105000000000000000 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 (<=.f64 (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)) #s(literal 3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (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) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

Outputs
(fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x (fma.f64 y y #s(literal -1/2 binary64)))) (fmax.f64 x y))
(if (<=.f64 (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)) #s(literal 200000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.f64 x x #s(approx (+ (* y y) -1/2) (*.f64 y y)))) (fmax.f64 x y)))
(if (<=.f64 y #s(literal -800000000000000000000 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 105000000000000000 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) (fma.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 -800000000000000000000 binary64)) (not (<=.f64 y #s(literal 105000000000000000 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) (fma.f64 x x #s(literal -1/2 binary64))) (fmax.f64 x y)))
(if (<=.f64 y #s(literal -800000000000000000000 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 105000000000000000 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 -800000000000000000000 binary64)) (not (<=.f64 y #s(literal 105000000000000000 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)))
(if (<=.f64 (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)) #s(literal 3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fmax.f64 #s(approx (- (+ (pow y 2) (pow x 2)) 1/2) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (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) #s(approx (+ (* x x) -1/2) #s(literal -1/2 binary64))) (fmax.f64 x y))

derivations292.0ms (10.5%)

Memory

-0.3MiB live, 184.7MiB allocated; 32ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 243 to 56 computations (77% saved)

preprocess37.0ms (1.3%)

Memory: 11.7MiB live, 54.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 512 to 132 computations (74.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (49.7%)

explain120.0ms (4.3%)

preprocess278.0ms (10%)

eval0.0ms (0%)

prune1.0ms (0%)

series6.0ms (0.2%)

simplify135.0ms (4.9%)

rewrite46.0ms (1.7%)

eval17.0ms (0.6%)

prune3.0ms (0.1%)

series6.0ms (0.2%)

simplify99.0ms (3.5%)

rewrite49.0ms (1.8%)

eval23.0ms (0.8%)

prune10.0ms (0.4%)

series5.0ms (0.2%)

simplify91.0ms (3.3%)

rewrite46.0ms (1.7%)

eval9.0ms (0.3%)

prune11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch35.0ms (1.2%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

simplify44.0ms (1.6%)

derivations292.0ms (10.5%)

preprocess37.0ms (1.3%)

end0.0ms (0%)

Profiling