Metrics for Difference of squares

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 (67.3%)

Memory

-96.8MiB live, 801.8MiB allocated; 1.1s collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult!: 178.0ms (90.2% of total)

ival-sub!: 19.0ms (9.6% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

explain71.0ms (3.8%)

Memory

-22.4MiB live, 82.2MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(-.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	18	0
↳	`(*.f64 a a)`	overflow	70
↳	`(*.f64 b b)`	overflow	58

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 5.0ms (78.7% of total)

ival-sub!: 1.0ms (15.7% of total)

adjust: 0.0ms (0% of total)

preprocess120.0ms (6.4%)

Memory

24.3MiB live, 70.4MiB allocated; 5ms 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 a b) (+.f64 b a))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series23.0ms (1.2%)

Memory

-24.1MiB live, 16.4MiB allocated; 11ms 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
17.0ms	b	@	inf	((- (* a a) (* b b)) (* a a) a (* b b) b)
3.0ms	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	@	-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)

rewrite74.0ms (3.9%)

Memory

13.8MiB live, 67.6MiB allocated; 12ms 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
(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 (neg.f64 b) b))
(fma.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 a #s(literal 1 binary64)) (.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) a) a (.f64 (neg.f64 b) b))
(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 (neg.f64 b) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(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 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(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 (neg.f64 b) b))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (neg.f64 b) b))
(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 (neg.f64 b) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (.f64 (neg.f64 a) a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (.f64 a a) (.f64 (*.f64 (neg.f64 b) b) #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 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(+.f64 (.f64 (neg.f64 b) b) (.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))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.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 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#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 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (- (* a a) (* b b)) (.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b)))

eval22.0ms (1.2%)

Memory: -22.9MiB live, 23.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 477 to 299 computations (79.8% saved)

prune2.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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 a b) (+.f64 b a))
▶	50.0%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
▶	54.8%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series7.0ms (0.4%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

10 → 39

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)

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 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 (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#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 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 a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#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 (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#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
1.0ms	b	@	-inf	((- (* a a) (* b b)) (* a a) a (- (* a a) (* b b)) (* (neg b) b) (neg b) b (* (- a b) (+ b a)) (- a b) (+ b a))
1.0ms	a	@	-inf	((- (* a a) (* b b)) (* a a) a (- (* a a) (* b b)) (* (neg b) b) (neg b) b (* (- a b) (+ b a)) (- a b) (+ b a))
1.0ms	b	@	inf	((- (* a a) (* b b)) (* a a) a (- (* a a) (* b b)) (* (neg b) b) (neg b) b (* (- a b) (+ b a)) (- a b) (+ b a))
1.0ms	a	@	inf	((- (* a a) (* b b)) (* a a) a (- (* a a) (* b b)) (* (neg b) b) (neg b) b (* (- a b) (+ b a)) (- a b) (+ b a))
1.0ms	a	@	0	((- (* a a) (* b b)) (* a a) a (- (* a a) (* b b)) (* (neg b) b) (neg b) b (* (- a b) (+ b a)) (- a b) (+ b a))

rewrite46.0ms (2.4%)

Memory

13.2MiB live, 60.4MiB allocated; 2ms 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 (- (* a a) (* b b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(*.f64 (-.f64 a b) (+.f64 b a))
(-.f64 a b)
(+.f64 b a)
#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 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 (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#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 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 a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* (neg b) b) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx b #s(hole binary64 b))
#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 (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#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
#s(approx (* (- a b) (+ b a)) (*.f64 a a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(.f64 (.f64 b b) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b b))
(*.f64 b (neg.f64 b))
(neg.f64 (*.f64 b b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 b a))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a a (*.f64 b b)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b)) (.f64 (.f64 a a) (.f64 a a))) (-.f64 (.f64 (neg.f64 b) b) (.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 a a) (.f64 a a) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 b) b) #s(literal 3 binary64)) (pow.f64 (.f64 a a) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(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 (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (.f64 a a) (.f64 b 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 a a) (.f64 (neg.f64 b) b))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a 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 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))
(-.f64 a b)
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.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 a a (-.f64 (.f64 b b) (.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b))
(+.f64 b a)
(+.f64 a b)
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
#s(approx (* (- a b) (+ b a)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
#s(approx (* (- a b) (+ b a)) (fma.f64 (neg.f64 b) b (.f64 (.f64 #s(literal 0 binary64) b) a)))
#s(approx (* (- a b) (+ b a)) (fma.f64 (neg.f64 b) b (*.f64 (fma.f64 #s(literal 0 binary64) b a) a)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#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 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 a 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 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (* (- a b) (+ b a)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (* (neg b) b) (*.f64 (neg.f64 b) b))
#s(approx (neg b) (neg.f64 b))
#s(approx b b)
#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 (neg.f64 b)) b (*.f64 a a)))
#s(approx (- a b) (fma.f64 #s(literal -1 binary64) b a))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) (.f64 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 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 a b))) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 (/.f64 (.f64 a a) b))) b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval13.0ms (0.7%)

Memory: -23.1MiB live, 23.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 298 to 259 computations (80% saved)

prune4.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	93	4	97

Accuracy

100.0%

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
▶	59.4%	(*.f64 (-.f64 a b) #s(approx (+ b a) b))
✓	50.0%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	54.8%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

5 → 30

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) #s(approx (+ b a) b))
(-.f64 a b)
a
b
#s(approx (+ b a) b)

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
0.0ms	a	@	-inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
0.0ms	b	@	-inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
0.0ms	a	@	inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
0.0ms	b	@	inf	((* (- a b) (+ b a)) (- a b) a b (+ b a))
0.0ms	a	@	0	((* (- a b) (+ b a)) (- a b) a b (+ b a))

rewrite77.0ms (4.1%)

Memory

-10.6MiB live, 41.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	479
0	122	432
0	719	423

Stop Event

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

Counts

35 → 38

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) #s(approx (+ b a) b))
(-.f64 a b)
a
b
#s(approx (+ b a) b)
#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 a b) #s(approx (+ b a) b))
(*.f64 #s(approx (+ b a) b) (-.f64 a b))
(/.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
#s(approx (+ b a) b)
#s(approx (* (- a b) (+ b a)) (neg.f64 (*.f64 b b)))
#s(approx (* (- a b) (+ b a)) (fma.f64 (.f64 #s(literal 0 binary64) b) a (neg.f64 (.f64 b b))))
#s(approx (* (- a b) (+ b a)) (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (neg.f64 (*.f64 b b))))
#s(approx (- a b) (neg.f64 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 (neg.f64 a) (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) 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 (neg.f64 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 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 a b))) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (- a b) (+ b a)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 (/.f64 (.f64 a a) b))) b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))

eval4.0ms (0.2%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 601 to 136 computations (77.4% saved)

prune3.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	39	4	43

Accuracy

100.0%

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 a b) (+.f64 b a))
✓	59.4%	(*.f64 (-.f64 a b) #s(approx (+ b a) b))
✓	50.0%	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
✓	54.8%	#s(approx (- (* a a) (* b b)) (*.f64 a a))

Compiler

Compiled 85 to 44 computations (48.2% saved)

regimes10.0ms (0.5%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 a b) #s(approx (+ b a) b))
(*.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:

2.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.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)

regimes16.0ms (0.8%)

Memory

-28.5MiB live, 19.1MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (-.f64 a b) #s(approx (+ b a) b))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))
(*.f64 (-.f64 a b) #s(approx (+ b a) b))

Calls

5 calls:

10.0ms	b
2.0ms	a
1.0ms	(-.f64 (.f64 a a) (.f64 b b))
1.0ms	(*.f64 b b)
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
85.9%	2	`(*.f64 b b)`
81.2%	4	`(*.f64 a a)`
99.4%	3	`(-.f64 (.f64 a a) (.f64 b b))`
81.2%	4	`a`
85.9%	2	`b`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.4%	2	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Outputs
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.8%	1	`(*.f64 a a)`
54.8%	1	`a`
54.8%	1	`(*.f64 b b)`
54.8%	1	`b`
54.8%	1	`(-.f64 (.f64 a a) (.f64 b b))`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-7.075825884698963e-296	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.075825884698963e-296	0.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify65.0ms (3.5%)

Memory

-20.5MiB live, 68.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	103
1	47	103
2	111	103
3	254	103
4	434	103
5	869	103
6	1420	103
7	2104	103
8	2937	103
9	3247	103
10	3309	103
11	3309	103
12	3387	103

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 b a))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal +inf.0 binary64)) #s(approx (- ( a a) (* b b)) (.f64 a a)) (.f64 (-.f64 a b) #s(approx (+ b a) b))))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) #s(approx (- ( a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

Outputs
(*.f64 (-.f64 a b) (+.f64 b a))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal +inf.0 binary64)) #s(approx (- ( a a) (* b b)) (.f64 a a)) (.f64 (-.f64 a b) #s(approx (+ b a) b))))
(if (<=.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -4602094425247529/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592 binary64)) #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) #s(approx (- ( a a) (* b b)) (*.f64 a a)))
#s(approx (- (* a a) (* b b)) (*.f64 a a))

derivations15.0ms (0.8%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 103 to 25 computations (75.7% saved)

preprocess31.0ms (1.7%)

Memory

-6.5MiB live, 48.4MiB allocated; 20ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 248 to 80 computations (67.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (67.3%)

explain71.0ms (3.8%)

preprocess120.0ms (6.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series23.0ms (1.2%)

rewrite74.0ms (3.9%)

eval22.0ms (1.2%)

prune2.0ms (0.1%)

series7.0ms (0.4%)

rewrite46.0ms (2.4%)

eval13.0ms (0.7%)

prune4.0ms (0.2%)

series2.0ms (0.1%)

rewrite77.0ms (4.1%)

eval4.0ms (0.2%)

prune3.0ms (0.2%)

regimes10.0ms (0.5%)

regimes16.0ms (0.8%)

regimes1.0ms (0.1%)

regimes5.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify65.0ms (3.5%)

derivations15.0ms (0.8%)

preprocess31.0ms (1.7%)

end0.0ms (0%)

Profiling