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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.1MiB 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)

sample918.0ms (31.8%)

Memory

4.6MiB live, 1 161.7MiB allocated; 272ms collecting garbage

Samples

595.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-sub: 100.0ms (41.5% of total)

ival-mult: 77.0ms (32% of total)

ival-add: 52.0ms (21.6% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain101.0ms (3.5%)

Memory

18.7MiB live, 63.9MiB 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 (30.9% of total)

ival-add: 3.0ms (30.9% of total)

ival-mult: 3.0ms (30.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess152.0ms (5.3%)

Memory

-33.7MiB live, 111.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	36	38
2	94	35
3	337	35
4	558	35
5	1067	35
6	2027	35
7	3000	35
8	3312	35
9	3390	35
10	3390	35
11	3580	35
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 y)

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify123.0ms (4.3%)

Memory

26.1MiB live, 126.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	13	15
2	31	15
3	102	15
4	254	15
5	440	15
6	868	15
7	1404	15
8	2088	15
9	2904	15
10	3214	15
11	3276	15
12	3276	15
13	3354	15
0	3354	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (1.6%)

Memory

12.1MiB live, 56.0MiB allocated; 5ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (+.f64 x y) (-.f64 x y))

Samples

43.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.4% of total)

ival-sub: 1.0ms (21.7% of total)

ival-add: 1.0ms (21.7% of total)

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

adjust: 0.0ms (0% of total)

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

series18.0ms (0.6%)

Memory

-36.3MiB live, 9.0MiB allocated; 4ms collecting garbage

Counts

3 → 27

Calls

Call 1

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

Outputs
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
y
(+ x y)
(* -1 y)
(- x y)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	x	@	inf	((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms	y	@	inf	((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms	y	@	-inf	((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms	x	@	0	((* (+ x y) (- x y)) (+ x y) (- x y))

simplify343.0ms (11.9%)

Memory

13.8MiB live, 312.6MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	210
1	283	174
2	1045	165
3	4089	165
0	8119	161

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

Inputs
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
y
(+ x y)
(* -1 y)
(- x y)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (/ y x) 1)))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (+ 1 (/ x y)))
(* y (- (/ x y) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite191.0ms (6.6%)

Memory

28.7MiB live, 114.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	27	13
2	222	13
3	5969	13
0	8557	13

Stop Event

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

Counts

3 → 399

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(.f64 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.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 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.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 (/.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y 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 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (/.f64 (+.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(.f64 (/.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 y x) (-.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 y x) (-.f64 x y))))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 x) (neg.f64 y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y)))
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(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 x y)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (fabs.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 x y)
(+.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 y x) y)))
(+.f64 (/.f64 (.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)))
(+.f64 (/.f64 (.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (.f64 (-.f64 x y) y) (+.f64 y x)))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 y) y) (+.f64 y x)))

eval120.0ms (4.1%)

Memory: -45.0MiB live, 55.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 10 271 to 1 119 computations (89.1% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	413	2	415
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	3	416

Accuracy

100.0%

Counts

416 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
▶	52.6%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
▶	52.5%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify76.0ms (2.6%)

Memory

9.5MiB live, 53.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	34
1	23	34
2	54	34
3	150	34
4	304	34
5	607	34
6	1163	34
7	1769	34
8	2136	34
9	2958	34
10	3231	34
11	3283	34
12	3283	34
13	3359	34
0	3359	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1.8%)

Memory

-2.4MiB live, 42.2MiB allocated; 6ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	30.3533418739433	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
accuracy	0.0	(*.f64 x x)
accuracy	30.427448482065238	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Samples

46.0ms

256×

valid

Compiler

Compiled 27 to 10 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 29.0ms (73.7% of total)

ival-mult: 7.0ms (17.8% of total)

ival-add: 2.0ms (5.1% of total)

ival-neg: 1.0ms (2.5% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

5 → 14

Calls

Call 1

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

Outputs
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))

Calls

6 calls:

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

simplify230.0ms (8%)

Memory

-10.3MiB live, 327.2MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	135
1	214	101
2	839	93
3	3707	93
0	8453	91

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))

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

rewrite146.0ms (5.1%)

Memory

-14.4MiB live, 177.5MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	13	32
1	41	32
2	256	32
3	6388	32
0	8083	32

Stop Event

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

Counts

5 → 32

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 523 to 113 computations (78.4% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	37	3	40

Accuracy

100.0%

Counts

40 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 x y))
✓	52.6%	#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
✓	52.5%	#s(approx (* (+ x y) (- x y)) (*.f64 x x))

Compiler

Compiled 60 to 33 computations (45% saved)

regimes7.0ms (0.3%)

Memory

-22.6MiB live, 22.3MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(*.f64 (+.f64 x y) (-.f64 x y))
2.0ms	x
2.0ms	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 (0.1%)

Memory

18.4MiB live, 18.4MiB 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)) (*.f64 (neg.f64 y) y))

Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.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
99.0%	2	`(*.f64 (+.f64 x y) (-.f64 x y))`
78.2%	2	`x`
81.9%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB 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	y
1.0ms	x
1.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`(*.f64 (+.f64 x y) (-.f64 x y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.351965966323546e-274	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify79.0ms (2.7%)

Memory

-29.6MiB live, 67.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	29	51
2	51	51
3	121	51
4	273	51
5	459	51
6	885	51
7	1419	51
8	2103	51
9	2933	51
10	3243	51
11	3305	51
12	3305	51
13	3383	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 -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 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))

Outputs

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

(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -152270531428125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968 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))

derivations230.0ms (8%)

Memory

-1.1MiB live, 185.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	210
1	283	174
2	1045	165
3	4089	165
0	8119	161

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 51 to 16 computations (68.6% saved)

preprocess28.0ms (1%)

Memory

-3.1MiB live, 43.9MiB allocated; 6ms collecting garbage

Remove

(abs x)

(abs y)

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%)

sample918.0ms (31.8%)

explain101.0ms (3.5%)

preprocess152.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify123.0ms (4.3%)

localize48.0ms (1.6%)

series18.0ms (0.6%)

simplify343.0ms (11.9%)

rewrite191.0ms (6.6%)

eval120.0ms (4.1%)

prune5.0ms (0.2%)

simplify76.0ms (2.6%)

localize52.0ms (1.8%)

series3.0ms (0.1%)

simplify230.0ms (8%)

rewrite146.0ms (5.1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify79.0ms (2.7%)

derivations230.0ms (8%)

preprocess28.0ms (1%)

end0.0ms (0%)

Profiling