Metrics for Difference of squares

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.3s (64.9%)

Memory

-65.6MiB live, 1 245.2MiB allocated; 1.2s collecting garbage

Samples

507.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 130.0ms (76.3% of total)

ival-sub: 36.0ms (21.1% of total)

ival-assert: 3.0ms (1.8% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain237.0ms (11.6%)

Memory

-46.1MiB live, 103.8MiB allocated; 55ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	16	0
↳	`(*.f64 a a)`	overflow	56
↳	`(*.f64 b b)`	overflow	61

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

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

ival-mult: 8.0ms (75.5% of total)

ival-sub: 2.0ms (18.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess138.0ms (6.8%)

Memory

32.4MiB live, 134.6MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (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
0	5	7
0	8	7
1	21	7
2	81	7
3	223	7
4	403	7
5	836	7
6	1385	7
7	2069	7
8	2898	7
9	3208	7
10	3270	7
11	3270	7
12	3348	7
0	3348	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 b a))

Symmetry

(abs a)

(abs b)

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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.7%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series8.0ms (0.4%)

Memory

-35.6MiB live, 8.1MiB allocated; 8ms collecting garbage

Counts

5 → 10

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

Outputs
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	inf	((- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	0	((- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	-inf	((- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	b	@	inf	((- (* a a) (* b b)) (* a a) a (* b b) b)

rewrite66.0ms (3.2%)

Memory

22.0MiB live, 112.1MiB allocated; 9ms 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 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

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

eval20.0ms (1%)

Memory: -6.9MiB live, 48.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 686 to 302 computations (82.1% saved)

prune38.0ms (1.8%)

Memory

32.3MiB live, 124.2MiB allocated; 6ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	1	133

Accuracy

100.0%

Counts

133 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series44.0ms (2.2%)

Memory

-35.3MiB live, 12.0MiB allocated; 1ms collecting garbage

Counts

5 → 30

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
a
b
(+.f64 b a)

Outputs
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	a	@	-inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
1.0ms	a	@	0	((* (- a b) (+ b a)) (- a b) a b (+ b a))
1.0ms	a	@	inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
1.0ms	b	@	-inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
1.0ms	b	@	inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))

rewrite85.0ms (4.1%)

Memory

19.6MiB live, 70.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	475
0	122	428
0	718	419

Stop Event

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

Counts

35 → 47

Calls

Call 1

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

Outputs
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 b a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a b))))
(-.f64 a b)
a
b
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (-.f64 (.f64 a a) (.f64 b a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (-.f64 (.f64 b b) (.f64 a b))))
(+.f64 b a)
(+.f64 a b)
#s(approx (* (- a b) (+ b a)) (.f64 (.f64 b b) #s(literal -1 binary64)))
#s(approx (* (- a b) (+ b a)) (fma.f64 (.f64 #s(literal 0 binary64) b) a (.f64 (*.f64 b b) #s(literal -1 binary64))))
#s(approx (* (- a b) (+ b a)) (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (.f64 (.f64 b b) #s(literal -1 binary64))))
#s(approx (- a b) (*.f64 #s(literal -1 binary64) b))
#s(approx (- a b) (-.f64 a b))
#s(approx a a)
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 b a))
#s(approx (* (- a b) (+ b a)) (*.f64 a a))
#s(approx (* (- a b) (+ b a)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)) (.f64 a a)))
#s(approx (* (- a b) (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64) (/.f64 b a))) (.f64 a a)))
#s(approx (- a b) a)
#s(approx (- a b) (*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (+ b a) a)
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (* (- a b) (+ b a)) (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 0 binary64) b) #s(literal -1 binary64) (/.f64 (.f64 b b) a)) a) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 a a)))
#s(approx (- a b) (.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) #s(literal -1 binary64)))
#s(approx (+ b a) (.f64 (.f64 (-.f64 (*.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) a) #s(literal -1 binary64)))
#s(approx (* (- a b) (+ b a)) (fma.f64 (.f64 #s(literal 0 binary64) a) b (.f64 a a)))
#s(approx (* (- a b) (+ b a)) (fma.f64 (fma.f64 #s(literal 0 binary64) a (.f64 #s(literal -1 binary64) b)) b (.f64 a a)))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx b b)
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) (/.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (.f64 (/.f64 (.f64 a a) b) #s(literal -1 binary64))) b) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- a b) (.f64 (.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) b) #s(literal -1 binary64)))
#s(approx (+ b a) (.f64 (.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)) b) #s(literal -1 binary64)))

eval5.0ms (0.3%)

Memory: 13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 731 to 171 computations (76.6% saved)

prune35.0ms (1.7%)

Memory

-12.8MiB live, 31.9MiB allocated; 5ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	1	52

Accuracy

100.0%

Counts

52 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes9.0ms (0.4%)

Memory

-24.3MiB live, 20.1MiB allocated; 5ms collecting garbage

Accuracy

Total -4.0b remaining (-∞%)

Threshold costs -4b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(*.f64 (-.f64 a b) (+.f64 b a))

Calls

5 calls:

1.0ms	b
1.0ms	(*.f64 a a)
1.0ms	a
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 b b)`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (0.4%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	12	7
3	13	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 b a))

Outputs
(*.f64 (-.f64 a b) (+.f64 b a))

derivations5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess14.0ms (0.7%)

Memory

-9.4MiB live, 33.6MiB allocated; 8ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 56 to 40 computations (28.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (64.9%)

explain237.0ms (11.6%)

preprocess138.0ms (6.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.4%)

rewrite66.0ms (3.2%)

eval20.0ms (1%)

prune38.0ms (1.8%)

series44.0ms (2.2%)

rewrite85.0ms (4.1%)

eval5.0ms (0.3%)

prune35.0ms (1.7%)

regimes9.0ms (0.4%)

simplify9.0ms (0.4%)

derivations5.0ms (0.2%)

preprocess14.0ms (0.7%)

end0.0ms (0%)

Profiling