Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze11.0ms (0.5%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.5s (67.6%)

Memory

-67.8MiB live, 909.3MiB allocated; 1.5s collecting garbage

Samples

454.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult!: 73.0ms (70.8% of total)

ival-add!: 27.0ms (26.2% of total)

ival-and: 1.0ms (1% of total)

adjust: 1.0ms (1% of total)

ival-<=: 1.0ms (1% of total)

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

Bogosity

preprocess78.0ms (3.5%)

Memory

-88.4MiB live, 18.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	75	32
2	298	32
3	975	32
4	2106	32
5	7384	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b) a b)
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b) a b)
0.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b) a b)
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b) a b)
0.0ms	b	@	0	((* (+ a b) (+ a b)) (+ a b) a b)

rewrite149.0ms (6.8%)

Memory

32.6MiB live, 122.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	265
1	628	221
0	8457	217

Stop Event

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

Counts

23 → 295

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 b a) (-.f64 (/.f64 b a) #s(literal -1 binary64))) a)
(.f64 (.f64 (fma.f64 a (/.f64 a (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a a) b)) #s(literal 1 binary64))) (.f64 (+.f64 a a) b))
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) a b)) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) b) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (.f64 (fma.f64 b (/.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) b a)) a)
(.f64 (.f64 (fma.f64 b (/.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 1 binary64)) a) (fma.f64 #s(literal 2 binary64) b a))
(.f64 (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64))) (*.f64 a a))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) a))) (.f64 (+.f64 b a) a))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (.f64 b b))) (.f64 b b))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a))) (.f64 a a))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a))) (.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) a) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 b a))) (fabs.f64 (fabs.f64 (+.f64 b a))))
(*.f64 (neg.f64 (fabs.f64 (+.f64 b a))) (neg.f64 (fabs.f64 (+.f64 b a))))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (pow.f64 (+.f64 b a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1 binary64)) (+.f64 b a))
(.f64 (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 a a))
(.f64 (.f64 (+.f64 b a) a) (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(.f64 (fma.f64 b (/.f64 b (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(.f64 (fma.f64 a (/.f64 a (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 (+.f64 a a) b)))))
(.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (*.f64 a a))))
(.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (fma.f64 #s(literal 2 binary64) b a)) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a))))))
(.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (fma.f64 #s(literal 2 binary64) a b)) b (.f64 (.f64 a a) (-.f64 (.f64 a a) (.f64 (fma.f64 #s(literal 2 binary64) a b) b))))))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (+.f64 b a)))
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (fma.f64 a (/.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)))
(.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (.f64 (+.f64 b a) a))
(.f64 (.f64 a a) (*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(.f64 (.f64 a a) (pow.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (fma.f64 b (/.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 1 binary64)))
(*.f64 (+.f64 b a) (+.f64 b a))
(.f64 a (.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) (+.f64 b a)))
(pow.f64 (fabs.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (-.f64 (neg.f64 b) a) #s(literal 2 binary64))
(pow.f64 (+.f64 b a) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (-.f64 a b))) (-.f64 a b))
(/.f64 (.f64 (+.f64 b a) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (fma.f64 a (/.f64 a (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 b (-.f64 (+.f64 a a) b)))) (.f64 b (-.f64 (+.f64 a a) b)))
(/.f64 (.f64 (fma.f64 a (/.f64 a (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 (+.f64 a a) b)))))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a)) (-.f64 a b))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (+.f64 b a)) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (fma.f64 (.f64 a a) (.f64 b (-.f64 (+.f64 a a) b)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 b (-.f64 (+.f64 a a) b)))) (.f64 b (-.f64 (+.f64 a a) b)))
(/.f64 (fma.f64 (.f64 a a) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (+.f64 a a) b)))) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 (+.f64 a a) b)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) a)) (.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) b))) (-.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) b)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) a) (fma.f64 #s(literal 2 binary64) b a))) (-.f64 (.f64 b b) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) b) (fma.f64 #s(literal 2 binary64) a b))) (-.f64 (.f64 a a) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) a) (-.f64 (.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) b)) (.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) a) (fma.f64 #s(literal 2 binary64) b a) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 a) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) b) (fma.f64 #s(literal 2 binary64) a b) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (*.f64 (neg.f64 a) a)))))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (.f64 (-.f64 a b) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (+.f64 b a) (-.f64 a b))) (.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b))))) (neg.f64 (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (fma.f64 #s(literal 2 binary64) b a)) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (fma.f64 #s(literal 2 binary64) a b)) b (.f64 (.f64 a a) (-.f64 (.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))))))
(/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b)))) (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b))))
(/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a))) (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (.f64 a a)))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b b) b) b (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) a) (fma.f64 #s(literal 2 binary64) b a)) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) b) b))))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (fma.f64 #s(literal 2 binary64) b a)) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) a) a (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) b) (fma.f64 #s(literal 2 binary64) a b)) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) a) a))))
(/.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (fma.f64 #s(literal 2 binary64) a b)) b (.f64 (.f64 a a) (-.f64 (.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b))) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (fma.f64 a a (.f64 b (-.f64 (+.f64 a a) b))))))
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(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b a) a) a)) a)
(.f64 (.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(*.f64 (neg.f64 a) (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (neg.f64 b) (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(*.f64 (-.f64 (neg.f64 b) a) #s(literal -1 binary64))
(*.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))) (neg.f64 b))
(*.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64)) b)
(*.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 b) a))
(*.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64)) a)
(*.f64 (+.f64 b a) #s(literal 1 binary64))
(.f64 b (.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 b (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(.f64 a (.f64 (neg.f64 (-.f64 (/.f64 b a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 a (-.f64 (/.f64 b a) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 a) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (.f64 (neg.f64 a) (fma.f64 (/.f64 (neg.f64 b) a) (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))) (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (.f64 (neg.f64 b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (.f64 (neg.f64 b) (fma.f64 (/.f64 (neg.f64 a) b) (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64))) (fma.f64 a (/.f64 a (.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(/.f64 (.f64 a (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (.f64 a (fma.f64 (.f64 b (/.f64 b (*.f64 a a))) (/.f64 b a) #s(literal 1 binary64))) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 b (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 a (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (.f64 b (fma.f64 (.f64 a (/.f64 a (*.f64 b b))) (/.f64 a b) #s(literal 1 binary64))) (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (.f64 (fma.f64 (.f64 b (/.f64 b (*.f64 a a))) (/.f64 b a) #s(literal 1 binary64)) a) (fma.f64 (/.f64 b a) (-.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 a (*.f64 b b)))) b) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 a (/.f64 a (*.f64 b b))) (/.f64 a b) #s(literal 1 binary64)) b) (fma.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 b b) (.f64 (.f64 (/.f64 a b) b) (.f64 (/.f64 a b) b))) (-.f64 b (*.f64 (/.f64 a b) b)))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (/.f64 b a) a) (.f64 (/.f64 b a) a))) (-.f64 a (*.f64 (/.f64 b a) a)))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 b a))
(/.f64 (fma.f64 (.f64 b b) b (pow.f64 (.f64 (/.f64 a b) b) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 (.f64 (/.f64 a b) b) (.f64 (/.f64 a b) b)) (.f64 b (*.f64 (/.f64 a b) b)))))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (/.f64 b a) a) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (.f64 (/.f64 b a) a) (.f64 (/.f64 b a) a)) (.f64 a (*.f64 (/.f64 b a) a)))))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 b b (*.f64 a (neg.f64 b)))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (*.f64 (+.f64 b a) a) a)
(/.f64 (*.f64 (+.f64 b a) b) b)
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 a b))
(/.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (fma.f64 b b (-.f64 (.f64 a a) (*.f64 b a))))
(/.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) a)))
(neg.f64 (*.f64 (-.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal -1 binary64))))
(neg.f64 (-.f64 (neg.f64 b) a))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 b) a) (*.f64 (neg.f64 a) #s(literal -1 binary64)))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) (*.f64 #s(literal -1 binary64) (neg.f64 b)))
(fma.f64 (/.f64 a b) b b)
(fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 a) (*.f64 #s(literal -1 binary64) (neg.f64 a)))
(fma.f64 (/.f64 b a) a a)
(fma.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) a) a)
(fma.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) b) b)
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 b (/.f64 a b) b)
(fma.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) b) b)
(fma.f64 a (/.f64 b a) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(-.f64 b (*.f64 (/.f64 (neg.f64 a) b) b))
(-.f64 b (neg.f64 (*.f64 (/.f64 a b) b)))
(-.f64 b (*.f64 (neg.f64 b) (/.f64 a b)))
(-.f64 b (neg.f64 a))
(-.f64 a (*.f64 (/.f64 (neg.f64 b) a) a))
(-.f64 a (neg.f64 (*.f64 (/.f64 b a) a)))
(-.f64 a (*.f64 (neg.f64 a) (/.f64 b a)))
(-.f64 a (neg.f64 b))
(+.f64 (.f64 (neg.f64 a) (/.f64 (neg.f64 b) a)) (.f64 (neg.f64 a) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 b) (/.f64 (neg.f64 a) b)) (.f64 (neg.f64 b) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (neg.f64 b) a) (neg.f64 a)) (.f64 #s(literal -1 binary64) (neg.f64 a)))
(+.f64 (.f64 (/.f64 (neg.f64 a) b) (neg.f64 b)) (.f64 #s(literal -1 binary64) (neg.f64 b)))
(+.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 b (-.f64 b a) (.f64 a a))) (/.f64 (.f64 (.f64 b b) b) (fma.f64 b (-.f64 b a) (.f64 a a))))
(+.f64 (*.f64 (/.f64 b a) a) a)
(+.f64 (*.f64 (/.f64 a b) b) b)
(+.f64 b (*.f64 (/.f64 a b) b))
(+.f64 b a)
(+.f64 a (*.f64 (/.f64 b a) a))
(+.f64 a b)
a
b
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#s(approx a a)
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (* (+ a b) (+ a b)) (.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 a a)) (.f64 a a)))
#s(approx (+ a b) (+.f64 b a))
#s(approx (* (+ a b) (+ a b)) (.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 a a)) (.f64 a a)))
#s(approx (+ a b) (+.f64 b a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b b)) (.f64 b b)))
#s(approx (+ a b) (+.f64 b a))
#s(approx (* (+ a b) (+ a b)) (.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b b)) (.f64 b b)))
#s(approx (+ a b) (+.f64 b a))

eval53.0ms (2.4%)

Memory: 9.9MiB live, 54.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 899 to 732 computations (74.7% saved)

prune16.0ms (0.7%)

Memory

-33.8MiB live, 19.0MiB allocated; 12ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	4	284

Accuracy

100.0%

Counts

284 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	5.3%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
▶	4.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 a a))

Compiler

Compiled 27 to 24 computations (11.1% saved)

series8.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

11 → 33

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
(*.f64 a a)
a
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(*.f64 (fma.f64 #s(literal 2 binary64) b a) a)
(fma.f64 #s(literal 2 binary64) b a)
#s(literal 2 binary64)
b
(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* a a) (* (+ (* 2 a) b) b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b))
1.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* a a) (* (+ (* 2 a) b) b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b))
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* a a) (* (+ (* 2 a) b) b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b))
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* a a) (* (+ (* 2 a) b) b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b))
1.0ms	b	@	inf	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* a a) (* (+ (* 2 a) b) b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b))

rewrite150.0ms (6.8%)

Memory

-1.0MiB live, 232.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	581
0	139	480
1	863	448
0	8615	445

Stop Event

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

Counts

44 → 528

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(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
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (/.f64 (+.f64 b b) a)) (.f64 (.f64 a a) #s(literal 1 binary64)))) (.f64 (*.f64 a a) #s(literal 1 binary64)))
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(+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 b (-.f64 b (+.f64 a a))))) (/.f64 (.f64 (.f64 b b) b) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 b (-.f64 b (+.f64 a a))))))
(+.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 b b (.f64 (+.f64 a a) (-.f64 (+.f64 a a) b)))) (/.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (fma.f64 b b (*.f64 (+.f64 a a) (-.f64 (+.f64 a a) b)))))
(+.f64 (.f64 b #s(literal 1 binary64)) (.f64 b (/.f64 (+.f64 a a) b)))
(+.f64 (.f64 (/.f64 (+.f64 a a) b) b) (.f64 #s(literal 1 binary64) b))
(+.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 (+.f64 a a) b) b))
(+.f64 (+.f64 a a) (neg.f64 (neg.f64 b)))
(+.f64 (+.f64 a a) b)
(+.f64 b (*.f64 (neg.f64 a) #s(literal -2 binary64)))
(+.f64 b (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(+.f64 b (+.f64 a a))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (* (+ (* 2 b) a) a) (*.f64 (+.f64 a a) b))
#s(approx (* (+ (* 2 b) a) a) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (+ (* 2 b) a) (+.f64 b b))
#s(approx (+ (* 2 b) a) (fma.f64 #s(literal 2 binary64) b a))
#s(approx (+ (* 2 a) b) b)
#s(approx (+ (* 2 a) b) (fma.f64 #s(literal 2 binary64) a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
#s(approx (+ (* 2 b) a) (fma.f64 #s(literal 2 binary64) b a))
#s(approx (* (+ (* 2 a) b) b) (.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (.f64 b b) a)) a))
#s(approx (+ (* 2 a) b) (+.f64 a a))
#s(approx (+ (* 2 a) b) (*.f64 (-.f64 (/.f64 b a) #s(literal -2 binary64)) a))
#s(approx (* (+ a b) (+ a b)) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (.f64 b b) a)) a) #s(literal -1 binary64)) (*.f64 a a)))
#s(approx (+ (* 2 b) a) (fma.f64 #s(literal 2 binary64) b a))
#s(approx (* (+ (* 2 a) b) b) (.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (.f64 b b) a)) a))
#s(approx (+ (* 2 a) b) (*.f64 (-.f64 (/.f64 b a) #s(literal -2 binary64)) a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
#s(approx (* (+ (* 2 a) b) b) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 b b)) (.f64 b b)))
#s(approx (* (+ (* 2 b) a) a) (.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (.f64 a a) b)) b))
#s(approx (+ (* 2 b) a) (*.f64 (-.f64 (/.f64 a b) #s(literal -2 binary64)) b))
#s(approx (+ (* 2 a) b) (fma.f64 #s(literal 2 binary64) a b))
#s(approx (* (+ a b) (+ a b)) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (.f64 a a) b)) b) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (* (+ (* 2 b) a) a) (.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (.f64 a a) b)) b))
#s(approx (+ (* 2 b) a) (*.f64 (-.f64 (/.f64 a b) #s(literal -2 binary64)) b))
#s(approx (+ (* 2 a) b) (fma.f64 #s(literal 2 binary64) a b))

eval49.0ms (2.2%)

Memory: 30.7MiB live, 76.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 219 to 1 578 computations (69.8% saved)

prune21.0ms (1%)

Memory

-32.2MiB live, 13.4MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	506	0	506
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	506	4	510

Accuracy

100.0%

Counts

510 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	5.3%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
✓	4.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 a a))

Compiler

Compiled 47 to 39 computations (17% saved)

regimes8.0ms (0.4%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(*.f64 (+.f64 a b) (+.f64 a b))
(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Outputs
(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
(*.f64 (+.f64 a b) (+.f64 a b))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes15.0ms (0.7%)

Memory

-42.7MiB live, 11.8MiB allocated; 5ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))

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

Calls

4 calls:

11.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	b
1.0ms	(+.f64 a b)
1.0ms	a

Results

Accuracy	Segments	Branch
5.3%	1	`(+.f64 a b)`
5.3%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
5.3%	1	`a`
5.3%	1	`b`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`a`
4.2%	1	`(+.f64 a b)`
4.2%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
4.2%	1	`b`

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations108.0ms (4.9%)

Memory

-4.2MiB live, 129.5MiB allocated; 14ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 15 computations (25% saved)

preprocess31.0ms (1.4%)

Memory: 41.3MiB live, 93.2MiB allocated; 9ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 88 to 75 computations (14.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.5%)

sample1.5s (67.6%)

preprocess78.0ms (3.5%)

series3.0ms (0.1%)

rewrite149.0ms (6.8%)

eval53.0ms (2.4%)

prune16.0ms (0.7%)

series8.0ms (0.3%)

rewrite150.0ms (6.8%)

eval49.0ms (2.2%)

prune21.0ms (1%)

regimes8.0ms (0.4%)

regimes7.0ms (0.3%)

regimes15.0ms (0.7%)

regimes4.0ms (0.2%)

derivations108.0ms (4.9%)

preprocess31.0ms (1.4%)

end0.0ms (0%)

Profiling