Metrics for Examples.Basics.BasicTests:f1 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample814.0ms (60.5%)

Memory

33.7MiB live, 980.9MiB allocated; 204ms collecting garbage

Samples

506.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-add: 119.0ms (52.4% of total)

ival-mult: 53.0ms (23.3% of total)

ival-sub: 50.0ms (22% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain58.0ms (4.3%)

Memory

-1.8MiB live, 97.1MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (-.f64 x y))`
-	-	`(+.f64 x y)`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-sub: 3.0ms (30.5% of total)

ival-add: 3.0ms (30.5% of total)

ival-mult: 3.0ms (30.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess128.0ms (9.5%)

Memory

15.7MiB live, 105.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	41	45
2	106	42
3	367	42
4	603	42
5	1130	42
6	2052	42
7	3019	42
8	3325	42
9	3403	42
10	3403	42
11	3587	42
0	5	7
0	8	7
1	13	7
2	31	7
3	102	7
4	254	7
5	440	7
6	868	7
7	1404	7
8	2088	7
9	2904	7
10	3214	7
11	3276	7
12	3276	7
13	3354	7
0	3354	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs x)

(abs y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval6.0ms (0.5%)

Memory: 0.1MiB live, 0.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

-54.5MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series10.0ms (0.7%)

Memory

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

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (+ x y) (- x y)) (+ x y) x y (- x y))
1.0ms	x	@	inf	((* (+ x y) (- x y)) (+ x y) x y (- x y))
1.0ms	y	@	inf	((* (+ x y) (- x y)) (+ x y) x y (- x y))
1.0ms	y	@	-inf	((* (+ x y) (- x y)) (+ x y) x y (- x y))
0.0ms	x	@	0	((* (+ x y) (- x y)) (+ x y) x y (- x y))

rewrite86.0ms (6.4%)

Memory

27.4MiB live, 71.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	475
0	121	428
0	703	419

Stop Event

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

Counts

35 → 42

Calls

Call 1

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

Outputs
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(/.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 x y) (+.f64 y x)) (-.f64 x y))
(+.f64 y x)
(+.f64 x y)
x
y
(/.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 x y) (+.f64 y x)) (+.f64 y x))
(-.f64 x y)
#s(approx (* (+ x y) (- x y)) (neg.f64 (*.f64 y y)))
#s(approx (* (+ x y) (- x y)) (fma.f64 (.f64 #s(literal 0 binary64) y) x (neg.f64 (.f64 y y))))
#s(approx (* (+ x y) (- x y)) (fma.f64 (fma.f64 #s(literal 0 binary64) y x) x (neg.f64 (*.f64 y y))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (+ x y) (- x y)) (.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 (+.f64 (/.f64 y x) #s(literal 1 binary64)) 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 (* (+ x y) (- x y)) (.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 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (* (+ x y) (- x y)) (fma.f64 (.f64 #s(literal 0 binary64) x) y (.f64 x x)))
#s(approx (* (+ x y) (- x y)) (fma.f64 (fma.f64 #s(literal 0 binary64) x (neg.f64 y)) y (*.f64 x x)))
#s(approx y y)
#s(approx (- x y) (fma.f64 #s(literal -1 binary64) y x))
#s(approx (* (+ x y) (- x y)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (+ x y) (- x y)) (.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 (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- x y)) (.f64 (-.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (* (+ x y) (- x y)) (.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) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64))))

eval5.0ms (0.3%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 637 to 148 computations (76.8% saved)

prune19.0ms (1.4%)

Memory

-40.1MiB live, 5.0MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Accuracy

100.0%

Counts

47 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	47.8%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
▶	57.9%	#s(approx (* (+ x y) (- x y)) (neg.f64 (*.f64 y y)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0.3%)

Memory

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

Counts

7 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite70.0ms (5.2%)

Memory

5.2MiB live, 48.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	370
0	96	332
0	586	323

Stop Event

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

Counts

25 → 39

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 627 to 132 computations (78.9% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	41	3	44

Accuracy

100.0%

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	47.8%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))
✓	57.9%	#s(approx (* (+ x y) (- x y)) (neg.f64 (*.f64 y y)))

Compiler

Compiled 60 to 33 computations (45% saved)

regimes5.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.3%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`
80.8%	2	`x`
80.1%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.8%	1	`y`
47.8%	1	`x`
47.8%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch7.0ms (0.5%)

Memory

-65.9MiB live, 0.9MiB allocated; 14ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2e-322	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify81.0ms (6%)

Memory

19.4MiB live, 65.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	30	51
2	51	51
3	123	51
4	275	51
5	461	51
6	887	51
7	1425	51
8	2109	51
9	2941	51
10	3251	51
11	3313	51
12	3313	51
13	3391	51

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* (+ x y) (- x y)) (neg.f64 (*.f64 y y))) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))

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

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx ( (+ x y) (- x y)) (neg.f64 (.f64 y y))) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
(if (<=.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx ( (+ x y) (- x y)) (.f64 (neg.f64 y) y)) #s(approx ( (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

derivations6.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 51 to 16 computations (68.6% saved)

preprocess30.0ms (2.2%)

Memory

15.4MiB live, 59.1MiB allocated; 3ms collecting garbage

Remove

(abs y)

(abs x)

Compiler

Compiled 172 to 82 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample814.0ms (60.5%)

explain58.0ms (4.3%)

preprocess128.0ms (9.5%)

eval6.0ms (0.5%)

prune0.0ms (0%)

series10.0ms (0.7%)

rewrite86.0ms (6.4%)

eval5.0ms (0.3%)

prune19.0ms (1.4%)

series5.0ms (0.3%)

rewrite70.0ms (5.2%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

regimes5.0ms (0.4%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

bsearch7.0ms (0.5%)

simplify81.0ms (6%)

derivations6.0ms (0.4%)

preprocess30.0ms (2.2%)

end0.0ms (0%)

Profiling