Metrics for Expression 4, p15

start0.0ms (0%)

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

analyze27.0ms (1.9%)

Memory

-35.9MiB live, 21.1MiB allocated; 25ms 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)

sample597.0ms (42.4%)

Memory

25.2MiB live, 583.9MiB allocated; 228ms collecting garbage

Samples

385.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult!: 67.0ms (68.3% of total)

ival-add!: 28.0ms (28.5% of total)

adjust: 2.0ms (2% of total)

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

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

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

Bogosity

preprocess41.0ms (2.9%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	75	32
2	304	32
3	1017	32
4	2349	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 (0.2%)

Memory

2.8MiB live, 2.8MiB 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)
1.0ms	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)

rewrite140.0ms (9.9%)

Memory

8.3MiB live, 196.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	265
1	628	221
0	8459	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))

eval35.0ms (2.5%)

Memory: -29.1MiB live, 60.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 899 to 732 computations (74.7% saved)

prune5.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms 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 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	5.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
▶	4.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 a a))

Compiler

Compiled 27 to 24 computations (11.1% saved)

series7.0ms (0.5%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

10 → 30

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 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(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) #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) #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 (* (+ 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
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 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 (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b))
1.0ms	a	@	0	((* (+ a b) (+ a b)) (* a a) a (* (+ a b) (+ a b)) (* (+ (* 2 b) a) a) (+ (* 2 b) a) 2 b (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 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 (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 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 (+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b))

rewrite238.0ms (16.9%)

Memory

6.0MiB live, 186.1MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	521
0	128	434
1	813	394
0	9104	394

Stop Event

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

Counts

40 → 511

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

eval75.0ms (5.3%)

Memory: -36.7MiB live, 122.8MiB allocated; 49ms collecting garbage
Compiler: Compiled 4 682 to 1 477 computations (68.5% saved)

prune8.0ms (0.6%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	514	1	515
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	514	5	519

Accuracy

100.0%

Counts

519 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
▶	5.2%	(fma.f64 #s(approx (+ (* 2 a) b) (+.f64 a a)) b (*.f64 a a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	5.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
✓	4.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 a a))

Compiler

Compiled 36 to 33 computations (8.3% saved)

series3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

6 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b) (+ a a) a b (* a a))
1.0ms	a	@	inf	((+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b) (+ a a) a b (* a a))
0.0ms	a	@	0	((+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b) (+ a a) a b (* a a))
0.0ms	b	@	-inf	((+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b) (+ a a) a b (* a a))
0.0ms	b	@	inf	((+ (* (+ (* 2 a) b) b) (* a a)) (+ (* 2 a) b) (+ a a) a b (* a a))

rewrite38.0ms (2.7%)

Memory

-11.0MiB live, 35.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	405
0	96	392
0	664	347

Stop Event

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

Counts

26 → 49

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 368 to 159 computations (56.8% saved)

prune3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	42	5	47

Accuracy

100.0%

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
✓	5.2%	(fma.f64 #s(approx (+ (* 2 a) b) (+.f64 a a)) b (*.f64 a a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	5.2%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
✓	4.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 a a))

Compiler

Compiled 62 to 53 computations (14.5% saved)

regimes11.0ms (0.8%)

Memory

-20.9MiB live, 25.1MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

4 calls:

5.0ms	b
2.0ms	a
2.0ms	(*.f64 (+.f64 a b) (+.f64 a 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)

regimes8.0ms (0.5%)

Memory

14.6MiB live, 14.6MiB 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 #s(approx (+ (* 2 a) b) (+.f64 a a)) b (*.f64 a a))

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)

regimes16.0ms (1.2%)

Memory

-39.4MiB live, 14.6MiB 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:

12.0ms	(+.f64 a b)
1.0ms	b
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a

Results

Accuracy	Segments	Branch
5.2%	1	`(+.f64 a b)`
5.2%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
5.2%	1	`a`
5.2%	1	`b`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB 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	(+.f64 a b)
1.0ms	b
1.0ms	a
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))

Results

Accuracy	Segments	Branch
4.1%	1	`a`
4.1%	1	`(+.f64 a b)`
4.1%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
4.1%	1	`b`

Compiler

Compiled 10 to 11 computations (-10% saved)

derivations103.0ms (7.3%)

Memory

-6.1MiB live, 130.6MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess44.0ms (3.1%)

Memory: 19.1MiB live, 115.1MiB allocated; 9ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 88 to 74 computations (15.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze27.0ms (1.9%)

sample597.0ms (42.4%)

preprocess41.0ms (2.9%)

series3.0ms (0.2%)

rewrite140.0ms (9.9%)

eval35.0ms (2.5%)

prune5.0ms (0.3%)

series7.0ms (0.5%)

rewrite238.0ms (16.9%)

eval75.0ms (5.3%)

prune8.0ms (0.6%)

series3.0ms (0.2%)

rewrite38.0ms (2.7%)

eval4.0ms (0.3%)

prune3.0ms (0.2%)

regimes11.0ms (0.8%)

regimes8.0ms (0.5%)

regimes16.0ms (1.2%)

regimes5.0ms (0.3%)

derivations103.0ms (7.3%)

preprocess44.0ms (3.1%)

end0.0ms (0%)

Profiling