Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample645.0ms (53.7%)

Memory

-1.3MiB live, 659.4MiB allocated; 124ms collecting garbage

Samples

385.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 142.0ms (69.1% of total)

ival-sqrt: 52.0ms (25.3% of total)

exact: 7.0ms (3.4% of total)

adjust: 3.0ms (1.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain60.0ms (5%)

Memory

0.2MiB live, 94.9MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	75	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	75
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	53	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	53

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

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

ival-mult: 7.0ms (61.6% of total)

ival-sqrt: 3.0ms (26.4% 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)

preprocess260.0ms (21.7%)

Memory

3.3MiB live, 205.3MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	25	19
2	62	19
3	196	19
4	333	19
5	1011	19
6	4908	19
0	5	6
0	8	6
1	15	6
2	28	6
3	90	6
4	232	6
5	818	6
6	4263	6
0	8038	3

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

series37.0ms (3.1%)

Memory

-13.9MiB live, 40.7MiB allocated; 23ms collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
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 (* 2 x) #s(hole binary64 (* 2 x)))
#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
34.0ms	x	@	inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)
1.0ms	x	@	0	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)
1.0ms	x	@	-inf	((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 2 x)

rewrite37.0ms (3.1%)

Memory

7.6MiB live, 56.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	22	60
1	48	60
0	150	51

Stop Event

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

Counts

10 → 58

Calls

Call 1

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

eval10.0ms (0.8%)

Memory: -32.3MiB live, 14.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 540 to 136 computations (74.8% saved)

prune10.0ms (0.8%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Accuracy

100.0%

Counts

61 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x))
▶	99.5%	(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series6.0ms (0.5%)

Memory

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

Counts

10 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (pow (* x 2) 1/2) (pow x 1/2)) (pow (* x 2) 1/2) (* x 2) x 2 1/2 (pow x 1/2) (sqrt (+ (* (* -1 x) (* -1 x)) (* (* -1 x) (* -1 x)))) (* -1 x) -1)
2.0ms	x	@	0	((* (pow (* x 2) 1/2) (pow x 1/2)) (pow (* x 2) 1/2) (* x 2) x 2 1/2 (pow x 1/2) (sqrt (+ (* (* -1 x) (* -1 x)) (* (* -1 x) (* -1 x)))) (* -1 x) -1)
1.0ms	x	@	inf	((* (pow (* x 2) 1/2) (pow x 1/2)) (pow (* x 2) 1/2) (* x 2) x 2 1/2 (pow x 1/2) (sqrt (+ (* (* -1 x) (* -1 x)) (* (* -1 x) (* -1 x)))) (* -1 x) -1)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

rewrite26.0ms (2.2%)

Memory

-22.5MiB live, 23.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	156
0	52	120
0	144	120

Stop Event

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

Counts

21 → 46

Calls

Call 1

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

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

eval6.0ms (0.5%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 593 to 112 computations (81.1% saved)

prune12.0ms (1%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	58	2	60

Accuracy

100.0%

Counts

60 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x))
✓	99.5%	(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes12.0ms (1%)

Memory

-34.1MiB live, 14.1MiB allocated; 9ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

(hypot.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))

Outputs
(hypot.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) x))

Calls

3 calls:

9.0ms	x
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

Calls

3 calls:

1.0ms	x
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
99.5%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.5%	1	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes3.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
53.2%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
53.2%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
53.2%	1	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify40.0ms (3.3%)

Memory

-23.1MiB live, 70.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	16	20
2	21	20
3	28	20
4	60	20
5	382	20
6	3484	20

Stop Event

1×	node limit

Calls

Call 1

Inputs

(hypot.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))

(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

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

Outputs

(hypot.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))

(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))

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

derivations3.0ms (0.3%)

Memory

5.5MiB live, 5.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess29.0ms (2.4%)

Memory: 23.5MiB live, 69.6MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 84 to 52 computations (38.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample645.0ms (53.7%)

explain60.0ms (5%)

preprocess260.0ms (21.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series37.0ms (3.1%)

rewrite37.0ms (3.1%)

eval10.0ms (0.8%)

prune10.0ms (0.8%)

series6.0ms (0.5%)

rewrite26.0ms (2.2%)

eval6.0ms (0.5%)

prune12.0ms (1%)

regimes12.0ms (1%)

regimes4.0ms (0.3%)

regimes3.0ms (0.3%)

simplify40.0ms (3.3%)

derivations3.0ms (0.3%)

preprocess29.0ms (2.4%)

end0.0ms (0%)

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