Metrics for Expression 4, p15

start0.0ms (0%)

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

analyze11.0ms (0.6%)

Memory

18.9MiB live, 18.9MiB 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)

sample1.1s (64.1%)

Memory

9.6MiB live, 481.9MiB allocated; 122ms collecting garbage

Samples

821.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add!: 43.0ms (52.7% of total)

ival-mult!: 36.0ms (44.2% of total)

ival-and: 1.0ms (1.2% of total)

adjust: 1.0ms (1.2% of total)

ival-<=: 1.0ms (1.2% of total)

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

Bogosity

preprocess65.0ms (3.8%)

Memory

-13.8MiB live, 28.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	69	36
2	223	36
3	827	36
4	1637	36
5	6877	36

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 14 to 8 computations (42.9% saved)

series3.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB 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
1.0ms	a	inf
1.0ms	a	-inf
0.0ms	b	-inf
0.0ms	b	inf
0.0ms	b	0

rewrite216.0ms (12.6%)

Memory

15.0MiB live, 200.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	323
0	89	287
1	496	277
0	4872	263

Stop Event

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

Counts

23 → 64

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

eval5.0ms (0.3%)

Memory: 19.9MiB live, 19.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 080 to 176 computations (83.7% saved)

prune2.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Accuracy

100.0%

Counts

59 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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 32 to 18 computations (43.8% saved)

series32.0ms (1.9%)

Memory

-42.8MiB live, 13.1MiB allocated; 8ms collecting garbage

Counts

8 → 24

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

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 (* (+ 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 (* (+ 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 (* (+ 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 b #s(hole binary64 b))
#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 (* (+ 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)))))

Calls

6 calls:

Time	Variable	Point
28.0ms	a	inf
1.0ms	a	-inf
1.0ms	a	0
1.0ms	b	-inf
1.0ms	b	inf

rewrite175.0ms (10.2%)

Memory

26.4MiB live, 209.2MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	429
0	105	385
1	545	376
0	5282	365

Stop Event

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

Counts

32 → 132

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
#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 (* (+ 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 (* (+ 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 (* (+ 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 b #s(hole binary64 b))
#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 (* (+ 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)))))

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 a a))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.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) (.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.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 (.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (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 (fma.f64 #s(literal 2 binary64) b a) a)
(*.f64 a (fma.f64 #s(literal 2 binary64) b a))
(/.f64 (.f64 a (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a a))) (-.f64 (+.f64 b b) a))
(/.f64 (.f64 a (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (.f64 b b)))) (-.f64 (-.f64 a b) b))
(/.f64 (.f64 a (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a))) (fma.f64 #s(literal 4 binary64) (.f64 b b) (*.f64 a (-.f64 (-.f64 a b) b))))
(/.f64 (.f64 a (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a))) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 a a)) a) (-.f64 (+.f64 b b) a))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (.f64 b b))) a) (-.f64 (-.f64 a b) b))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a)) a) (fma.f64 #s(literal 4 binary64) (.f64 b b) (*.f64 a (-.f64 (-.f64 a b) b))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a)) a) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (.f64 a a)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b))) (.f64 a (-.f64 (-.f64 a b) b)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (-.f64 (.f64 (+.f64 a a) b) (.f64 a a)))) (neg.f64 (-.f64 (.f64 (+.f64 a a) b) (.f64 a a))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (.f64 (.f64 b b) b)))) (neg.f64 (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 a a) (.f64 a (-.f64 (-.f64 a b) b))))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (-.f64 (.f64 (+.f64 a a) b) (.f64 a a))) (-.f64 (.f64 (+.f64 a a) b) (.f64 a a)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 a a) a) a (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (.f64 (+.f64 a a) (.f64 b (*.f64 a a))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 a a) (.f64 a (-.f64 (-.f64 a b) b)))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (+.f64 a a) b))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (.f64 (+.f64 a a) b))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (+.f64 a a) b))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (.f64 (+.f64 a a) b))
(fma.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (+.f64 a a) b))
(fma.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (+.f64 a a) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (+.f64 a a) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (+.f64 a a) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (+.f64 a a) b))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (+.f64 a a) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (+.f64 a a) b))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (+.f64 a a) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (+.f64 a a) b))
(fma.f64 (+.f64 a a) b (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (+.f64 a a) b))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (+.f64 a a) b))
(fma.f64 (+.f64 b b) a (*.f64 a a))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 a a))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 a a))
(fma.f64 (+.f64 b a) a (*.f64 b a))
(fma.f64 b (+.f64 a a) (*.f64 a a))
(fma.f64 b a (*.f64 (+.f64 b a) a))
(fma.f64 a (+.f64 b b) (*.f64 a a))
(fma.f64 a (+.f64 b a) (*.f64 b a))
(fma.f64 a b (*.f64 (+.f64 b a) a))
(fma.f64 a a (*.f64 (+.f64 a a) b))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b b)) (-.f64 (.f64 (+.f64 a a) b) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 a a) a) a) (-.f64 (.f64 (+.f64 a a) b) (*.f64 a a))))
(-.f64 (.f64 a a) (.f64 (neg.f64 (*.f64 b a)) #s(literal 2 binary64)))
(-.f64 (.f64 a a) (.f64 (neg.f64 a) (+.f64 b b)))
(-.f64 (.f64 a a) (.f64 (*.f64 #s(literal -2 binary64) a) b))
(-.f64 (.f64 (+.f64 a a) b) (.f64 (neg.f64 a) a))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 8 binary64)) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 a a) (.f64 a (-.f64 (-.f64 a b) b))))) (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)) (fma.f64 (.f64 (.f64 b a) (.f64 b a)) #s(literal 4 binary64) (.f64 (.f64 a a) (*.f64 a (-.f64 (-.f64 a b) b))))))
(+.f64 (.f64 (+.f64 b a) a) (.f64 b a))
(+.f64 (.f64 a a) (.f64 (+.f64 a a) b))
(+.f64 (.f64 (+.f64 a a) b) (.f64 a a))
(+.f64 (.f64 b a) (.f64 (+.f64 b a) a))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 #s(literal -8 binary64) (.f64 (.f64 b b) b))) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (.f64 b b) (.f64 (.f64 #s(literal -2 binary64) a) b))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (*.f64 a a))) (neg.f64 (-.f64 (+.f64 b b) a)))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (*.f64 b b)))) (neg.f64 (-.f64 (-.f64 a b) b)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 b b) (.f64 a (-.f64 (-.f64 a b) b)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (*.f64 a a))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (*.f64 a a)) (-.f64 (+.f64 b b) a))
(/.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (*.f64 b b))) (-.f64 (-.f64 a b) b))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a)) (fma.f64 #s(literal 4 binary64) (.f64 b b) (.f64 a (-.f64 (-.f64 a b) b))))
(/.f64 (fma.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64) (.f64 (.f64 a a) a)) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) b a)
(fma.f64 b #s(literal 2 binary64) a)
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (+.f64 b b) a)) (/.f64 (*.f64 a a) (-.f64 (+.f64 b b) a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 (-.f64 a b) b)) (/.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (-.f64 a b) b)))
(-.f64 a (*.f64 (neg.f64 b) #s(literal 2 binary64)))
(-.f64 a (*.f64 #s(literal -2 binary64) b))
(+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 b b) (.f64 a (-.f64 (-.f64 a b) b)))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 #s(literal 4 binary64) (.f64 b b) (*.f64 a (-.f64 (-.f64 a b) b)))))
(+.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) #s(literal 8 binary64)) (fma.f64 (+.f64 b b) (-.f64 (+.f64 b b) a) (*.f64 a a))))
(+.f64 (+.f64 b b) a)
(+.f64 (+.f64 b a) b)
(+.f64 b (+.f64 b a))
(+.f64 a (*.f64 (neg.f64 b) #s(literal -2 binary64)))
(+.f64 a (+.f64 b b))
#s(literal 2 binary64)
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)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a 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 (* (+ a b) (+ a b)) (*.f64 (fma.f64 (/.f64 (+.f64 b b) a) a a) a))
#s(approx (* (+ a b) (+ a b)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (.f64 b (/.f64 b a))) a)) a) a))
#s(approx (+ (* 2 b) a) (fma.f64 (/.f64 (+.f64 b b) a) a a))
#s(approx (* (+ a b) (+ a b)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (.f64 b (/.f64 b a))) a)) a) a))
#s(approx (+ (* 2 b) a) (*.f64 (neg.f64 a) (fma.f64 #s(literal -2 binary64) (/.f64 b a) #s(literal -1 binary64))))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
#s(approx b b)
#s(approx (* (+ a b) (+ a b)) (.f64 (.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 1 binary64)) b) b))
#s(approx (* (+ a b) (+ a b)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) a) (.f64 a (/.f64 a b))) b)) 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 (* (+ a b) (+ a b)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) a) (.f64 a (/.f64 a b))) b)) b) b))
#s(approx (* (+ (* 2 b) a) a) (.f64 (fma.f64 a (/.f64 a b) (neg.f64 (.f64 #s(literal -2 binary64) a))) b))
#s(approx (+ (* 2 b) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 2 binary64))))

eval15.0ms (0.9%)

Memory: -4.9MiB live, 38.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 651 to 418 computations (84.2% saved)

prune4.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	121	3	124

Accuracy

100.0%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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 64 to 30 computations (53.1% saved)

regimes10.0ms (0.6%)

Memory

-18.8MiB live, 26.2MiB allocated; 4ms 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:

4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	(+.f64 a b)
2.0ms	a

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 12 to 11 computations (8.3% saved)

regimes6.0ms (0.3%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms 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:

1.0ms	b
1.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.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 12 to 11 computations (8.3% saved)

regimes4.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB 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 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	a
1.0ms	b

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

derivations35.0ms (2%)

Memory

1.7MiB live, 47.2MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 32 to 12 computations (62.5% saved)

preprocess33.0ms (1.9%)

Memory: -19.9MiB live, 78.3MiB allocated; 23ms collecting garbage
Remove: (sort a b)
Compiler: Compiled 118 to 60 computations (49.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.6%)

sample1.1s (64.1%)

preprocess65.0ms (3.8%)

series3.0ms (0.2%)

rewrite216.0ms (12.6%)

eval5.0ms (0.3%)

prune2.0ms (0.1%)

series32.0ms (1.9%)

rewrite175.0ms (10.2%)

eval15.0ms (0.9%)

prune4.0ms (0.2%)

regimes10.0ms (0.6%)

regimes6.0ms (0.3%)

regimes4.0ms (0.3%)

derivations35.0ms (2%)

preprocess33.0ms (1.9%)

end0.0ms (0%)

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