Metrics for Examples.Basics.BasicTests:f2 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample512.0ms (57.1%)

Memory

30.1MiB live, 822.5MiB allocated; 143ms collecting garbage

Samples

296.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult!: 97.0ms (82.8% of total)

ival-sub!: 18.0ms (15.4% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain60.0ms (6.7%)

Memory

-15.5MiB live, 82.3MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(-.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 y y))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	58
↳	`(*.f64 y y)`	overflow	74

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 6.0ms (81% of total)

ival-sub!: 1.0ms (13.5% of total)

adjust: 0.0ms (0% of total)

preprocess51.0ms (5.7%)

Memory

-7.9MiB live, 35.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	51	42
2	223	42
3	386	42
4	950	42
5	1955	42
6	2959	42
7	3299	42
8	3377	42
9	3377	42
10	3570	42

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(-.f64 (.f64 x x) (.f64 y y))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series4.0ms (0.5%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 10

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

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

Calls

6 calls:

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

rewrite63.0ms (7%)

Memory

25.7MiB live, 69.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
0	36	131
1	136	130
0	1191	129

Stop Event

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

Counts

15 → 129

Calls

Call 1

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

Outputs
(*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (neg.f64 x) (fabs.f64 y)) (-.f64 (neg.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 (fabs.f64 x) (neg.f64 y)) (-.f64 (fabs.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) (fabs.f64 y)) (-.f64 (fabs.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) y) (-.f64 (fabs.f64 x) y))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x (fabs.f64 y)) (-.f64 x (fabs.f64 y)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) y) y (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 y) (.f64 (fabs.f64 y) #s(literal -1 binary64)) (.f64 x x))
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 y) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 y) y))
(fma.f64 (.f64 y y) #s(literal -1 binary64) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (.f64 y #s(literal -1 binary64)) (.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (neg.f64 y) y) (.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.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))
(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))))
y
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y)))

eval19.0ms (2.1%)

Memory: -16.2MiB live, 40.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 477 to 299 computations (79.8% saved)

prune3.0ms (0.3%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	3	133

Accuracy

100.0%

Counts

133 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 y x))
▶	56.6%	#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
▶	49.9%	#s(approx (- (* x x) (* y y)) (*.f64 x x))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series7.0ms (0.7%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

10 → 39

Calls

Call 1

Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(+.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* x x) (* y y)) (* x x) x (- (* x x) (* y y)) (* (neg y) y) (neg y) y (* (- x y) (+ y x)) (- x y) (+ y x))
1.0ms	x	@	-inf	((- (* x x) (* y y)) (* x x) x (- (* x x) (* y y)) (* (neg y) y) (neg y) y (* (- x y) (+ y x)) (- x y) (+ y x))
1.0ms	y	@	inf	((- (* x x) (* y y)) (* x x) x (- (* x x) (* y y)) (* (neg y) y) (neg y) y (* (- x y) (+ y x)) (- x y) (+ y x))
1.0ms	x	@	inf	((- (* x x) (* y y)) (* x x) x (- (* x x) (* y y)) (* (neg y) y) (neg y) y (* (- x y) (+ y x)) (- x y) (+ y x))
1.0ms	x	@	0	((- (* x x) (* y y)) (* x x) x (- (* x x) (* y y)) (* (neg y) y) (neg y) y (* (- x y) (+ y x)) (- x y) (+ y x))

rewrite47.0ms (5.3%)

Memory

-3.9MiB live, 42.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	630
0	150	577
0	819	568

Stop Event

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

Counts

49 → 87

Calls

Call 1

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

Outputs
#s(approx (* (- x y) (+ y x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(.f64 (.f64 y y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y y))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
(*.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (neg.f64 y) y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (.f64 y y) (.f64 y y) (.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (neg.f64 y) y) (.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (.f64 y y) #s(literal -1 binary64) (.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 (-.f64 x y) y) (.f64 (-.f64 x y) x))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 (neg.f64 y) y) (.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(-.f64 x y)
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(+.f64 y x)
(+.f64 x y)
#s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))
#s(approx (* (- x y) (+ y x)) (*.f64 (+.f64 y x) (-.f64 x y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (- x y) (+ y x)) (*.f64 (neg.f64 y) y))
#s(approx (* (- x y) (+ y x)) (fma.f64 (neg.f64 y) y (.f64 (.f64 #s(literal 0 binary64) y) x)))
#s(approx (* (- x y) (+ y x)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 #s(literal 0 binary64) y x) x)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (+ y x) y)
#s(approx (+ y x) (+.f64 y x))
#s(approx (* (- x y) (+ y x)) (*.f64 x x))
#s(approx (* (- x y) (+ y x)) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (- x y) (+ y x)) (*.f64 x x))
#s(approx (* (- x y) (+ y x)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (- x y) (+ y x)) (.f64 (+.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal -1 binary64) (/.f64 y x))) (.f64 x x)))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ y x) x)
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (* (- x y) (+ y x)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) y) #s(literal -1 binary64) (/.f64 (.f64 y y) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (* (- x y) (+ y x)) (*.f64 (+.f64 y x) (-.f64 x y)))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#s(approx (* (- x y) (+ y x)) (fma.f64 (.f64 #s(literal 0 binary64) x) y (.f64 x x)))
#s(approx (* (- x y) (+ y x)) (fma.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 y)) y (*.f64 x x)))
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (* (- x y) (+ y x)) (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (* (- x y) (+ y x)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (- x y) (+ y x)) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x y) (/.f64 (.f64 x x) (.f64 y y))) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ y x) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (* (- x y) (+ y x)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (- x y) (+ y x)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 (/.f64 (.f64 x x) y))) y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval42.0ms (4.6%)

Memory: -31.8MiB live, 13.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 298 to 259 computations (80% saved)

prune4.0ms (0.5%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	94	3	97

Accuracy

100.0%

Counts

97 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 y x))
✓	56.6%	#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
✓	49.9%	#s(approx (- (* x x) (* y y)) (*.f64 x x))

Compiler

Compiled 67 to 35 computations (47.8% saved)

regimes9.0ms (1%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 (.f64 x x) (.f64 y y))

Outputs
(*.f64 (-.f64 x y) (+.f64 y x))

Calls

5 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)
1.0ms	(-.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (.f64 x x) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes6.0ms (0.7%)

Memory

16.5MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))

Outputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) (*.f64 x x))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 x x) (.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
80.3%	2	`(*.f64 y y)`
79.8%	2	`(*.f64 x x)`
96.9%	2	`(-.f64 (.f64 x x) (.f64 y y))`
79.8%	2	`x`
80.3%	2	`y`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes7.0ms (0.8%)

Memory

-29.5MiB live, 16.9MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))

Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))

Calls

5 calls:

1.0ms	(-.f64 (.f64 x x) (.f64 y y))
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
49.9%	1	`(*.f64 x x)`
49.9%	1	`x`
49.9%	1	`(*.f64 y y)`
49.9%	1	`y`
49.9%	1	`(-.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.895776380356496e-281	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

derivations14.0ms (1.6%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 51 to 18 computations (64.7% saved)

preprocess47.0ms (5.3%)

Memory

-13.0MiB live, 36.7MiB allocated; 7ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 320 to 154 computations (51.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample512.0ms (57.1%)

explain60.0ms (6.7%)

preprocess51.0ms (5.7%)

series4.0ms (0.5%)

rewrite63.0ms (7%)

eval19.0ms (2.1%)

prune3.0ms (0.3%)

series7.0ms (0.7%)

rewrite47.0ms (5.3%)

eval42.0ms (4.6%)

prune4.0ms (0.5%)

regimes9.0ms (1%)

regimes6.0ms (0.7%)

regimes7.0ms (0.8%)

bsearch0.0ms (0%)

derivations14.0ms (1.6%)

preprocess47.0ms (5.3%)

end0.0ms (0%)

Profiling