Metrics for Difference of squares

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample640.0ms (36%)

Memory

-25.1MiB live, 596.6MiB allocated; 169ms collecting garbage

Samples

456.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult!: 110.0ms (76.6% of total)

ival-sub!: 32.0ms (22.3% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

preprocess69.0ms (3.9%)

Memory

-8.9MiB live, 37.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	62	42
2	267	42
3	466	42
4	1110	42
5	3697	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(-.f64 (.f64 a a) (.f64 b b))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series76.0ms (4.3%)

Memory

0.0MiB live, 46.7MiB allocated; 4ms collecting garbage

Counts

5 → 9

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

Calls

6 calls:

Time	Variable	Point
1.0ms	a	inf
1.0ms	a	-inf
1.0ms	b	inf
1.0ms	b	-inf
1.0ms	a	0

rewrite120.0ms (6.8%)

Memory

5.5MiB live, 149.1MiB allocated; 13ms collecting garbage

Counts

5 → 21

Calls

Call 1

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

Outputs
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 a) (neg.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))
(*.f64 a a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(pow.f64 a #s(literal 2 binary64))
a
(*.f64 b b)
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(pow.f64 b #s(literal 2 binary64))
b

eval4.0ms (0.3%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 263 to 66 computations (74.9% saved)

prune2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	1	26

Accuracy

100.0%

Counts

26 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

series98.0ms (5.5%)

Memory

30.3MiB live, 76.3MiB allocated; 14ms collecting garbage

Counts

5 → 27

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (- a b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b))))))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx a a)
#s(approx (- a b) (*.f64 #s(literal -1 binary64) b))
#s(approx (- a b) (-.f64 a b))
#s(approx (* (+ a b) (- a b)) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 b a)))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 b a))))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (- a b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64)))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) b))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- a b) (+.f64 a (*.f64 #s(literal -1 binary64) b)))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (- a b) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	a	-inf
1.0ms	a	0
1.0ms	b	-inf
1.0ms	a	inf
1.0ms	b	inf

rewrite177.0ms (10%)

Memory

-27.5MiB live, 119.0MiB allocated; 15ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 5.6MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 540 to 142 computations (73.7% saved)

prune2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Accuracy

100.0%

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (-.f64 a b))
▶	97.1%	(.f64 (+.f64 a b) #s(approx (- a b) (.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))))
▶	60.0%	(*.f64 #s(approx (+ a b) b) (-.f64 a b))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series101.0ms (5.7%)

Memory

-34.2MiB live, 66.9MiB allocated; 18ms collecting garbage

Counts

14 → 39

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (- a b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b))))))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#s(approx (- a b) (*.f64 #s(literal -1 binary64) b))
#s(approx (- a b) (-.f64 a b))
#s(approx a a)
#s(approx (* -1 (* a (- (/ b a) 1))) (+.f64 a (*.f64 #s(literal -1 binary64) b)))
#s(approx (* a (- (/ b a) 1)) (+.f64 b (*.f64 #s(literal -1 binary64) a)))
#s(approx (- (/ b a) 1) (/.f64 b a))
#s(approx (- (/ b a) 1) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) a)) a))
#s(approx (* (+ a b) (- a b)) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 b a)))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 b a))))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (- a b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (* a (- (/ b a) 1)) (*.f64 #s(literal -1 binary64) a))
#s(approx (* a (- (/ b a) 1)) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (- (/ b a) 1) #s(literal -1 binary64))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64)))))
#s(approx (* a (- (/ b a) 1)) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) b))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (- a b) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (* a (- (/ b a) 1)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (- (/ b a) 1) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (* a (- (/ b a) 1)) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
#s(approx (- (/ b a) 1) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))))

Calls

6 calls:

Time	Variable	Point
2.0ms	b	-inf
1.0ms	a	0
1.0ms	a	-inf
1.0ms	b	inf
1.0ms	a	inf

rewrite124.0ms (7%)

Memory

41.7MiB live, 133.8MiB allocated; 8ms collecting garbage

Counts

14 → 30

Calls

Call 1

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

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

eval9.0ms (0.5%)

Memory: -31.1MiB live, 14.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 143 to 274 computations (76% saved)

prune2.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	57	4	61

Accuracy

100.0%

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (-.f64 a b))
▶	97.1%	(.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
✓	60.0%	(*.f64 #s(approx (+ a b) b) (-.f64 a b))
▶	51.8%	(.f64 #s(approx (+ a b) b) #s(approx (- a b) (.f64 #s(literal -1 binary64) b)))

Compiler

Compiled 45 to 31 computations (31.1% saved)

series108.0ms (6.1%)

Memory

15.4MiB live, 136.2MiB allocated; 51ms collecting garbage

Counts

15 → 40

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (- a b)) (*.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b)))))
#s(approx (* (+ a b) (- a b)) (fma.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 2 binary64)) (.f64 a (+.f64 a (+.f64 b (.f64 #s(literal -1 binary64) b))))))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#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) 1) a) (+.f64 b (*.f64 #s(literal -1 binary64) a)))
#s(approx (- (/ b a) 1) (/.f64 b a))
#s(approx (- (/ b a) 1) (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) a)) a))
#s(approx (* (+ a b) (- a b)) (pow.f64 a #s(literal 2 binary64)))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 b a)))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 b a))))))
#s(approx (+ a b) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a))))
#s(approx (- a b) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 b a)))))
#s(approx (* (- (/ b a) 1) a) (*.f64 #s(literal -1 binary64) a))
#s(approx (* (- (/ b a) 1) a) (*.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64))))
#s(approx (- (/ b a) 1) #s(literal -1 binary64))
#s(approx (- (/ b a) 1) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 a #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 b (*.f64 #s(literal -1 binary64) b)) (/.f64 (pow.f64 b #s(literal 2 binary64)) a)) a)))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (/.f64 b a) #s(literal 1 binary64)))))
#s(approx (* (- (/ b a) 1) a) (.f64 #s(literal -1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 b a))))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (*.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 2 binary64))))
#s(approx (* (+ a b) (- a b)) (fma.f64 b (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) b))) (pow.f64 a #s(literal 2 binary64))))
#s(approx (- a b) (+.f64 a (*.f64 #s(literal -1 binary64) b)))
#s(approx (neg (* (- (/ b a) 1) a)) (-.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) a)))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (*.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b) (+.f64 (/.f64 a b) (/.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b))))
#s(approx (- a b) (*.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#s(approx (* (- (/ b a) 1) a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 a b)))))
#s(approx (- (/ b a) 1) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) a)) b)) #s(literal 1 binary64))))
#s(approx (* (+ a b) (- a b)) (.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 a #s(literal 2 binary64)) b)))) b)) #s(literal 1 binary64))))
#s(approx (+ a b) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) #s(literal 1 binary64)))))
#s(approx (- a b) (.f64 #s(literal -1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 a b))))))
#s(approx (* (- (/ b a) 1) a) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
#s(approx (- (/ b a) 1) (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	b	-inf
1.0ms	b	inf
1.0ms	a	-inf
1.0ms	a	inf
1.0ms	b	0

rewrite131.0ms (7.4%)

Memory

8.5MiB live, 150.7MiB allocated; 78ms collecting garbage

Counts

15 → 30

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 122 to 273 computations (75.7% saved)

prune11.0ms (0.6%)

Memory

-29.5MiB live, 12.5MiB allocated; 12ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	57	4	61

Accuracy

100.0%

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (-.f64 a b))
✓	97.1%	(.f64 (+.f64 a b) #s(approx (- a b) (neg.f64 (.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))))
✓	60.0%	(*.f64 #s(approx (+ a b) b) (-.f64 a b))
	51.8%	(*.f64 #s(approx (+ a b) b) #s(approx (- a b) (neg.f64 b)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes30.0ms (1.7%)

Memory

41.3MiB live, 86.0MiB allocated; 7ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

7 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

15 calls:

8.0ms	b
2.0ms	b
2.0ms	a
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
51.8%	1	`b`
51.8%	1	`(*.f64 a a)`
51.8%	1	`(-.f64 (.f64 a a) (.f64 b b))`
51.8%	1	`a`
51.8%	1	`(*.f64 b b)`
60.0%	1	`(*.f64 b b)`
60.0%	1	`(*.f64 a a)`
60.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
60.0%	1	`a`
60.0%	1	`b`
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 126 to 75 computations (40.5% saved)

derivations1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 28 to 12 computations (57.1% saved)

preprocess62.0ms (3.5%)

Memory

-6.2MiB live, 44.9MiB allocated; 41ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 154 to 98 computations (36.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample640.0ms (36%)

preprocess69.0ms (3.9%)

series76.0ms (4.3%)

rewrite120.0ms (6.8%)

eval4.0ms (0.3%)

prune2.0ms (0.1%)

series98.0ms (5.5%)

rewrite177.0ms (10%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series101.0ms (5.7%)

rewrite124.0ms (7%)

eval9.0ms (0.5%)

prune2.0ms (0.1%)

series108.0ms (6.1%)

rewrite131.0ms (7.4%)

eval6.0ms (0.3%)

prune11.0ms (0.6%)

regimes30.0ms (1.7%)

derivations1.0ms (0%)

preprocess62.0ms (3.5%)

end0.0ms (0%)

Profiling