Metrics for sqrt C (should all be same)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample528.0ms (49.8%)

Memory

-11.6MiB live, 498.1MiB allocated; 179ms collecting garbage

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult!: 101.0ms (60.6% of total)

ival-sqrt: 64.0ms (38.4% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain71.0ms (6.7%)

Memory

17.7MiB live, 64.0MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
126	-	2	(9.056270321031135e-156)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	70	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	70
↳	`(*.f64 x x)`	overflow	70
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	54	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	54
↳	`(*.f64 x x)`	underflow	54

Confusion

	Predicted +	Predicted -
+	124	2
-	0	130

Precision

1.0

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	2
-	0	0	130

Precision?

1.0

Recall?

0.9841269841269841

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult!: 7.0ms (51.8% of total)

ival-sqrt: 6.0ms (44.4% of total)

adjust: 0.0ms (0% of total)

preprocess83.0ms (7.8%)

Memory

-23.4MiB live, 22.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	28	19
2	90	19
3	185	19
4	578	19
5	1314	19
6	4975	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series4.0ms (0.4%)

Memory

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

Counts

5 → 5

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x

Outputs
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x)
1.0ms	x	@	0	((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x)
1.0ms	x	@	-inf	((sqrt (* 2 (* x x))) (* 2 (* x x)) 2 (* x x) x)

rewrite51.0ms (4.8%)

Memory

3.1MiB live, 49.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	22	60
1	50	54
0	171	49

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

10 → 65

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* 2 (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* 2 (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))

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

eval6.0ms (0.5%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 533 to 156 computations (70.7% saved)

prune4.0ms (0.4%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Accuracy

100.0%

Counts

63 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	54.3%	(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
▶	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	54.7%	(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))

Compiler

Compiled 70 to 48 computations (31.4% saved)

series48.0ms (4.5%)

Memory

-11.5MiB live, 78.8MiB allocated; 10ms collecting garbage

Counts

16 → 20

Calls

Call 1

Inputs
(hypot.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 x)
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
#s(literal 1/4 binary64)

Outputs
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt (* x 2)) (sqrt x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* x 2)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (* (sqrt (* x 2)) (sqrt x)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt (* x 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (sqrt -1))))))

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)
13.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)
7.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)

Time

Variable

Point

Expression

27.0ms

((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)

13.0ms

-inf

((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)

7.0ms

inf

((sqrt (+ (* x x) (* x x))) x (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (* x 2) x)) (* (* x 2) x) (* x 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (sqrt x) (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) 1/4)

rewrite26.0ms (2.5%)

Memory

26.5MiB live, 26.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	305
0	88	229
0	201	229

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

36 → 174

Calls

Call 1

Inputs
(hypot.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(.f64 (.f64 x #s(literal 2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 x)
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
#s(literal 1/4 binary64)
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (* x 2) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt (* x 2)) (sqrt x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* x 2)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (* (sqrt (* x 2)) (sqrt x)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt (* x 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (sqrt -1))))))

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

eval8.0ms (0.8%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 094 to 222 computations (79.7% saved)

prune5.0ms (0.5%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	94	7	101

Accuracy

100.0%

Counts

101 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
✓	100.0%	(hypot.f64 x x)
▶	54.4%	(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (pow ( (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
▶	99.4%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	54.7%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	2.0%	#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))

Compiler

Compiled 127 to 90 computations (29.1% saved)

series115.0ms (10.9%)

Memory

-34.9MiB live, 102.4MiB allocated; 39ms collecting garbage

Counts

24 → 28

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
x
(sqrt.f64 x)
#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 1/4 binary64)
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (pow ( (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (pow (* (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

Outputs
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (+ x x)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (neg (* (sqrt 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) #s(hole binary64 (* (pow 4 1/4) x)))
#s(approx (* (* (* 2 x) x) (* (* 2 x) x)) #s(hole binary64 (* 4 (pow x 4))))
#s(approx (* (* 2 x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (pow 2 1/4) (sqrt x)) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) #s(hole binary64 (* -1 (* (pow 4 1/4) x))))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (sqrt -1))))))
#s(approx (* (pow 2 1/4) (sqrt x)) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (pow (sqrt -1) 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))
33.0ms	x	@	0	((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))
22.0ms	x	@	-inf	((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))

Time

Variable

Point

Expression

46.0ms

inf

((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))

33.0ms

((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))

22.0ms

-inf

((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4))

rewrite30.0ms (2.8%)

Memory

39.4MiB live, 39.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	507
0	129	432
0	296	390

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

52 → 195

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
x
(sqrt.f64 x)
#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 1/4 binary64)
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (pow ( (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (pow (* (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (+ x x)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (neg (* (sqrt 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (+ x x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) #s(hole binary64 (* (pow 4 1/4) x)))
#s(approx (* (* (* 2 x) x) (* (* 2 x) x)) #s(hole binary64 (* 4 (pow x 4))))
#s(approx (* (* 2 x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (pow 2 1/4) (sqrt x)) #s(hole binary64 (* (pow 2 1/4) (sqrt x))))
#s(approx (* (sqrt (+ x x)) (sqrt x)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt (+ x x)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (* x 2) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* (+ x x) x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) #s(hole binary64 (* -1 (* (pow 4 1/4) x))))
#s(approx (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (pow (* (* x x) 2) 1/4) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (sqrt -1))))))
#s(approx (* (pow 2 1/4) (sqrt x)) #s(hole binary64 (* -1 (* (pow 2 1/4) (* (sqrt x) (pow (sqrt -1) 2))))))

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

eval16.0ms (1.5%)

Memory: -19.0MiB live, 23.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 567 to 323 computations (79.4% saved)

prune6.0ms (0.6%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	114	7	121

Accuracy

100.0%

Counts

121 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	27.5%	(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
✓	100.0%	(hypot.f64 x x)
✓	54.4%	(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (pow ( (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
✓	99.4%	(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	54.7%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	2.0%	#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))

Compiler

Compiled 168 to 89 computations (47% saved)

regimes14.0ms (1.3%)

Memory

-21.5MiB live, 25.3MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(hypot.f64 x x)
(pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (*.f64 #s(literal 2 binary64) x) x)) #s(literal 1/4 binary64))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(approx (pow ( (* x x) 2) 1/4) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

4.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
3.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
100.0%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
100.0%	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes9.0ms (0.9%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Outputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))

Calls

4 calls:

2.0ms	x
2.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
2.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 x x)`
99.4%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.4%	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.7%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Accuracy

Total -62.3b remaining (-14363.6%)

Threshold costs -62.3b (-14363.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* (* x 2) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) x))

Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

2.0ms	x
2.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
2.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 x x)`
99.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.3%	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

derivations13.0ms (1.3%)

Memory

-70.5MiB live, 5.0MiB allocated; 17ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 14 to 9 computations (35.7% saved)

preprocess15.0ms (1.4%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 68 to 50 computations (26.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample528.0ms (49.8%)

explain71.0ms (6.7%)

preprocess83.0ms (7.8%)

series4.0ms (0.4%)

rewrite51.0ms (4.8%)

eval6.0ms (0.5%)

prune4.0ms (0.4%)

series48.0ms (4.5%)

rewrite26.0ms (2.5%)

eval8.0ms (0.8%)

prune5.0ms (0.5%)

series115.0ms (10.9%)

rewrite30.0ms (2.8%)

eval16.0ms (1.5%)

prune6.0ms (0.6%)

regimes14.0ms (1.3%)

regimes9.0ms (0.9%)

regimes7.0ms (0.7%)

derivations13.0ms (1.3%)

preprocess15.0ms (1.4%)

end0.0ms (0%)

Profiling