Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze30.0ms (0.6%)

Memory

3.9MiB live, 55.4MiB allocated

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)

sample1.7s (32.4%)

Memory

-31.4MiB live, 1 946.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

const: 212.0ms (31.2% of total)

ival-mult: 177.0ms (26.1% of total)

ival-add: 139.0ms (20.5% of total)

ival-<=: 108.0ms (15.9% of total)

ival-and: 27.0ms (4% of total)

exact: 14.0ms (2.1% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain67.0ms (1.2%)

Memory

-4.2MiB live, 144.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 6.0ms (63.8% of total)

ival-mult: 3.0ms (31.9% of total)

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

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

preprocess171.0ms (3.2%)

Memory

31.8MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	49	45
2	194	41
3	684	39
4	1068	39
5	1714	35
6	2992	35
7	3766	35
8	4258	35
9	4370	35
10	4482	35
11	4482	35
12	4602	35
13	4782	35
14	4962	35
0	4	7
0	6	7
1	17	7
2	53	7
3	170	7
4	506	7
5	852	7
6	1525	7
7	2334	7
8	2779	7
9	3057	7
10	3181	7
11	3217	7
0	3217	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify61.0ms (1.1%)

Memory

1.7MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 a b)
cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	17	12
2	53	12
3	170	12
4	506	12
5	852	12
6	1525	12
7	2334	12
8	2779	12
9	3057	12
10	3181	12
11	3217	12
0	3217	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

-14.9MiB live, 37.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 a b)
accuracy	0.01953125	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (61.3% of total)

ival-add: 1.0ms (30.6% of total)

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

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

series3.0ms (0%)

Memory

6.3MiB live, 6.4MiB allocated

Counts

2 → 19

Calls

Call 1

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

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Calls

6 calls:

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

simplify169.0ms (3.1%)

Memory

29.8MiB live, 306.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))

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

rewrite145.0ms (2.7%)

Memory

-2.9MiB live, 183.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	32	8
2	253	8
3	3131	8
0	9441	8

Stop Event

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

Counts

2 → 505

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 b a))
(.f64 (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (fabs.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 b) a)) (fabs.f64 (-.f64 (neg.f64 b) a)))
(*.f64 (fabs.f64 (+.f64 (neg.f64 a) b)) (fabs.f64 (-.f64 (neg.f64 a) b)))
(*.f64 (fabs.f64 (+.f64 a (neg.f64 b))) (fabs.f64 (-.f64 a (neg.f64 b))))
(*.f64 (fabs.f64 (+.f64 b (neg.f64 a))) (fabs.f64 (-.f64 b (neg.f64 a))))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 b a))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (.f64 a a)))
(*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 b a)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (+.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 a (neg.f64 b)) (-.f64 a (neg.f64 b)))
(*.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 3 binary64))) (sqrt.f64 (-.f64 b a)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 b a) (-.f64 b a))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (fabs.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(*.f64 (-.f64 b a) (fabs.f64 (-.f64 (neg.f64 b) (neg.f64 a))))
(*.f64 (-.f64 b a) (fabs.f64 (-.f64 a (neg.f64 b))))
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(/.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 b b) (.f64 (neg.f64 a) (neg.f64 b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (-.f64 b a))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 (neg.f64 b))) a)
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) a)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) a)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 (neg.f64 a))) b)
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) b)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) b)
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (.f64 a a)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (.f64 a a) (pow.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a) (.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (.f64 b b) (/.f64 b (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (.f64 a a) (/.f64 a (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 b (/.f64 (.f64 b b) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 a (-.f64 b a)) (*.f64 b (/.f64 b (-.f64 b a))))
(sqrt.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))))
(-.f64 b a)
(-.f64 a b)
(fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 b a) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (-.f64 b a))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(hypot.f64 (neg.f64 (neg.f64 b)) a)
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))
(hypot.f64 (neg.f64 (neg.f64 a)) b)
(hypot.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 b) (neg.f64 a))
(hypot.f64 (neg.f64 b) a)
(hypot.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))
(hypot.f64 (neg.f64 a) (neg.f64 b))
(hypot.f64 (neg.f64 a) b)
(hypot.f64 b (neg.f64 (neg.f64 a)))
(hypot.f64 b (neg.f64 a))
(hypot.f64 b a)
(hypot.f64 a (neg.f64 (neg.f64 b)))
(hypot.f64 a (neg.f64 b))
(hypot.f64 a b)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (-.f64 b a))) (sinh.f64 (log.f64 (-.f64 b a))))
(+.f64 (neg.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))))
(+.f64 (neg.f64 b) (neg.f64 a))
(+.f64 (neg.f64 a) (neg.f64 b))
(+.f64 b a)
(+.f64 a b)

eval147.0ms (2.7%)

Memory: -2.1MiB live, 191.5MiB allocated
Compiler: Compiled 16 595 to 1 409 computations (91.5% saved)

prune35.0ms (0.7%)

Memory

-5.9MiB live, 36.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	714	4	718
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	714	5	719

Accuracy

100.0%

Counts

719 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b))
▶	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 71 to 38 computations (46.5% saved)

simplify151.0ms (2.8%)

Memory

9.4MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
cost-diff	2	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
cost-diff	0	(*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b))
cost-diff	3	(.f64 (fma.f64 (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b)
cost-diff	4	(fma.f64 (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b)
cost-diff	0	(fma.f64 #s(literal 2 binary64) a b)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	146
0	32	156
1	70	156
2	190	156
3	572	151
4	1271	141
5	3085	125
6	5815	125
0	8124	124

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

12.5MiB live, 60.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0	(*.f64 a a)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy	0.0	(-.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64))) b b) b)
accuracy	0.01171875	(*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.19043797299901377	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.6876986959037079	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

34.0ms

256×

valid

Compiler

Compiled 119 to 20 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.1% of total)

ival-add: 8.0ms (35.7% of total)

ival-div: 2.0ms (8.9% of total)

ival-sub: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.7%)

Memory

-36.4MiB live, 10.3MiB allocated

Counts

13 → 44

Calls

Call 1

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

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(+ b (* a (+ 2 (/ a b))))
(* 2 (/ a b))
(* a (+ (* 2 (/ 1 b)) (/ a (pow b 2))))
(pow a 2)
2
(+ 2 (/ a b))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(/ (pow a 2) (pow b 2))
(* (pow a 2) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))))
(/ a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/ (+ (* 2 (* a b)) (pow a 2)) (pow b 2))
(/ (+ a (* 2 b)) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(/ (+ (* 2 a) (/ (pow a 2) b)) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
(* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (* (/ a b) (- (/ a b) -2)) b) b) (* (+ (* (* (/ a b) (- (/ a b) -2)) b) b) b) (* (+ a b) (+ a b)) (* (/ a b) (- (/ a b) -2)) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (- (/ a b) -2))
2.0ms	b	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (* (/ a b) (- (/ a b) -2)) b) b) (* (+ (* (* (/ a b) (- (/ a b) -2)) b) b) b) (* (+ a b) (+ a b)) (* (/ a b) (- (/ a b) -2)) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (- (/ a b) -2))
2.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (* (/ a b) (- (/ a b) -2)) b) b) (* (+ (* (* (/ a b) (- (/ a b) -2)) b) b) b) (* (+ a b) (+ a b)) (* (/ a b) (- (/ a b) -2)) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (- (/ a b) -2))
2.0ms	a	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (* (/ a b) (- (/ a b) -2)) b) b) (* (+ (* (* (/ a b) (- (/ a b) -2)) b) b) b) (* (+ a b) (+ a b)) (* (/ a b) (- (/ a b) -2)) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (- (/ a b) -2))
2.0ms	a	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (* (/ a b) (- (/ a b) -2)) b) b) (* (+ (* (* (/ a b) (- (/ a b) -2)) b) b) b) (* (+ a b) (+ a b)) (* (/ a b) (- (/ a b) -2)) (+ (* (+ (* 2 a) b) b) (* a a)) (* (+ a b) (+ a b)) (* a a) (- (/ a b) -2))

simplify211.0ms (3.9%)

Memory

9.9MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	355
1	367	343
2	1315	324
3	6473	324
0	8765	297

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ b (* 2 a))
(+ b (* a (+ 2 (/ a b))))
(* 2 (/ a b))
(* a (+ (* 2 (/ 1 b)) (/ a (pow b 2))))
(pow a 2)
2
(+ 2 (/ a b))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ (* 2 (/ 1 a)) (+ (/ 1 b) (/ b (pow a 2)))))
(/ (pow a 2) (pow b 2))
(* (pow a 2) (+ (* 2 (/ 1 (* a b))) (/ 1 (pow b 2))))
(/ a b)
(* a (+ (* 2 (/ 1 a)) (/ 1 b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 (/ b a)) 2) a)) (/ 1 b)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ b (* 2 a)))
(/ (+ (* 2 (* a b)) (pow a 2)) b)
(/ (+ (* b (+ b (* 2 a))) (pow a 2)) b)
(/ (+ (* 2 (* a b)) (pow a 2)) (pow b 2))
(/ (+ a (* 2 b)) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(/ (+ (* 2 a) (/ (pow a 2) b)) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ (* 2 a) (/ (pow a 2) b)) b)) 1)))
(* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))

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

rewrite227.0ms (4.2%)

Memory

1.4MiB live, 193.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	129
0	32	121
1	131	121
2	1047	113
0	8748	113

Stop Event

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

Counts

13 → 463

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 b #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal -2 binary64) a b) b)
(*.f64 b (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (neg.f64 b) b)) b)) (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))) b)) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b)))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (neg.f64 b) b)))) (fma.f64 #s(literal -2 binary64) a b))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b)))
(/.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) a b) b) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) a (neg.f64 b)) b))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (neg.f64 b) b)) b) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (.f64 (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(/.f64 (.f64 b (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (.f64 (neg.f64 b) b))) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (.f64 b (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (.f64 (.f64 b b) (.f64 (*.f64 #s(literal -2 binary64) a) b)))))
(/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) a (pow.f64 b #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))))
(/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) a b) b) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 #s(literal -2 binary64) (.f64 b a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (neg.f64 b) (.f64 #s(literal -2 binary64) a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (neg.f64 a) (.f64 #s(literal 2 binary64) b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (.f64 #s(literal -2 binary64) a) b))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 #s(literal -2 binary64) (.f64 b a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (neg.f64 b) (.f64 #s(literal -2 binary64) a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (neg.f64 a) (.f64 #s(literal 2 binary64) b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (.f64 #s(literal -2 binary64) a) b))
(fma.f64 (.f64 #s(literal -2 binary64) a) b (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 (+.f64 b a) b (*.f64 b a))
(fma.f64 b (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) (.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(fma.f64 b (.f64 #s(literal -2 binary64) a) (.f64 b b))
(fma.f64 b (+.f64 b a) (*.f64 b a))
(fma.f64 b b (.f64 #s(literal -2 binary64) (.f64 b a)))
(fma.f64 b b (.f64 (neg.f64 b) (.f64 #s(literal -2 binary64) a)))
(fma.f64 b b (.f64 (neg.f64 a) (.f64 #s(literal 2 binary64) b)))
(fma.f64 b b (.f64 (.f64 #s(literal -2 binary64) a) b))
(fma.f64 b a (*.f64 (+.f64 b a) b))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 b b))
(fma.f64 a b (*.f64 (+.f64 b a) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(-.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (*.f64 (neg.f64 b) b))
(-.f64 (.f64 b b) (.f64 #s(literal -2 binary64) (*.f64 b a)))
(-.f64 (.f64 b b) (.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(-.f64 (.f64 b b) (.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal -2 binary64) a) b))
(+.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b))) b))
(+.f64 (.f64 b (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))) (.f64 b (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal -2 binary64) a b) b)))))
(+.f64 (.f64 (+.f64 b a) b) (.f64 b a))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) a) b) (*.f64 b b))
(+.f64 (.f64 b a) (.f64 (+.f64 b a) b))
(+.f64 (.f64 b b) (.f64 #s(literal -2 binary64) (*.f64 b a)))
(+.f64 (.f64 b b) (.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a)))
(+.f64 (.f64 b b) (.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) b)))
(+.f64 (.f64 b b) (.f64 (*.f64 #s(literal -2 binary64) a) b))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b))) (.f64 (/.f64 (.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)))) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) (/.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b)))) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal -2 binary64) a b) b))))) (fma.f64 #s(literal -2 binary64) a (neg.f64 b)))
(/.f64 (-.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (+.f64 b a) a))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b a) #s(literal 2 binary64))) (-.f64 a (+.f64 b a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) (fma.f64 (/.f64 (.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (fma.f64 #s(literal -2 binary64) a b)) (/.f64 (*.f64 (neg.f64 b) b) (fma.f64 #s(literal -2 binary64) a b))))))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 a b) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 a b)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (/.f64 a b) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 a b))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 a b))))
(-.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 a b) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 a b) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64))))))
(-.f64 (/.f64 a b) #s(literal -2 binary64))

eval144.0ms (2.7%)

Memory: -29.2MiB live, 141.2MiB allocated
Compiler: Compiled 18 780 to 1 976 computations (89.5% saved)

prune7.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	548	1	549
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	549	5	554

Accuracy

100.0%

Counts

554 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)))
✓	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 67 to 35 computations (47.8% saved)

simplify62.0ms (1.2%)

Memory

-31.8MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 b a) a)
cost-diff	0	(+.f64 b a)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)))
cost-diff	3	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	12	32
1	32	32
2	71	32
3	217	32
4	567	32
5	923	32
6	1610	32
7	2374	32
8	2793	32
9	3071	32
10	3195	32
11	3231	32
0	3231	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-10.6MiB live, 34.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)))
accuracy	0.01171875	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0.01171875	(*.f64 (+.f64 b a) a)

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.5% of total)

ival-add: 3.0ms (37.9% of total)

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

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

series5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

4 → 25

Calls

Call 1

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

Outputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(* a b)
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* a b) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* b (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	((+ (* (+ b a) b) (* (+ b a) a)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) a))
1.0ms	b	@	-inf	((+ (* (+ b a) b) (* (+ b a) a)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) a))
1.0ms	a	@	inf	((+ (* (+ b a) b) (* (+ b a) a)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) a))
1.0ms	a	@	-inf	((+ (* (+ b a) b) (* (+ b a) a)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) a))
0.0ms	b	@	inf	((+ (* (+ b a) b) (* (+ b a) a)) (* (+ a b) (+ a b)) (+ b a) (* (+ b a) a))

simplify190.0ms (3.5%)

Memory

28.3MiB live, 263.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	219
1	256	209
2	862	201
3	3619	201
0	8339	184

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(* a b)
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* a b) (pow a 2))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (/ a b)))
(* b (+ a (/ (pow a 2) b)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))

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

rewrite254.0ms (4.7%)

Memory

-25.3MiB live, 304.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	12	24
1	67	24
2	558	24
0	8199	24

Stop Event

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

Counts

4 → 451

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (*.f64 b b)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (*.f64 (-.f64 a b) a)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (*.f64 b b)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a)) (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (+.f64 a b) (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 (+.f64 a b) b) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a) (.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) b)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 a b) b) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b)) (-.f64 (.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b)) (pow.f64 (.f64 (+.f64 a b) b) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a))) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (+.f64 a b))
(*.f64 (exp.f64 (log.f64 (+.f64 a b))) (exp.f64 (log.f64 (+.f64 a b))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 (-.f64 b a) (-.f64 a b))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (+.f64 a b) (-.f64 b a)))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (.f64 (-.f64 b a) (+.f64 a b)) (.f64 (-.f64 b a) (-.f64 a b))))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 (-.f64 b a) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (.f64 (-.f64 b a) (+.f64 a b)) (.f64 (-.f64 b a) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (.f64 (-.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (+.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (fma.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b) (pow.f64 (.f64 (+.f64 a b) b) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) a) (-.f64 a b) (pow.f64 (*.f64 (+.f64 a b) b) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 a b)))
(.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))))
(*.f64 (+.f64 a b) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 a b) (-.f64 a (neg.f64 b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(pow.f64 (exp.f64 (log.f64 (+.f64 a b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 a b)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 a b) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (-.f64 b a)) (+.f64 a b)) (-.f64 b a))
(/.f64 (.f64 (.f64 (+.f64 a b) (fabs.f64 (-.f64 b a))) (+.f64 a b)) (fabs.f64 (-.f64 b a)))
(/.f64 (.f64 (fabs.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 a b)) (fabs.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 a b))) (fma.f64 (-.f64 b a) b (.f64 a a)))
(/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 (+.f64 a b))) (-.f64 a b))
(/.f64 (.f64 (.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (+.f64 a b))) (-.f64 b a))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (+.f64 a b))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (neg.f64 (+.f64 a b)) (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (-.f64 b a) b (.f64 a a)))
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(fma.f64 (/.f64 (.f64 b b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b)) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (.f64 b b) (.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (.f64 (-.f64 a b) a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(fma.f64 (neg.f64 a) (/.f64 (neg.f64 a) (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (fabs.f64 a) (/.f64 (fabs.f64 a) (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(fma.f64 (.f64 b b) (/.f64 b (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 (.f64 a a) (/.f64 a (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (/.f64 a (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 b a))))
(fma.f64 a (/.f64 (.f64 a a) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 b (/.f64 (.f64 b b) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 b (/.f64 b (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 a b))))
(sqrt.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 a b) b) (-.f64 b a)) (/.f64 (.f64 (+.f64 a b) a) (-.f64 b a)))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 b (/.f64 b (-.f64 a b))))
(fabs.f64 (neg.f64 (+.f64 a b)))
(fabs.f64 (+.f64 a b))
(exp.f64 (/.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (+.f64 a b) b) (-.f64 b a)) (/.f64 (.f64 (neg.f64 a) (+.f64 a b)) (-.f64 b a)))
(+.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(+.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))))
(+.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 a b))))
(+.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 b (/.f64 b (-.f64 b a))))
(+.f64 a b)
(+.f64 b a)
(.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 b a) a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b)))
(.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 b a) a)) (.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (.f64 (-.f64 a b) a)))
(.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)))
(.f64 (/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b)))
(.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 a (-.f64 b a)))
(.f64 (.f64 (-.f64 a b) (+.f64 a b)) (/.f64 a (-.f64 a b)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 a (fma.f64 (-.f64 b a) b (.f64 a a))))
(*.f64 (+.f64 a b) a)
(*.f64 a (+.f64 a b))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) a) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 a (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 a b) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))
(/.f64 (neg.f64 (.f64 (+.f64 a b) (.f64 (-.f64 b a) a))) (-.f64 a b))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (neg.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a))) (-.f64 b a))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 b a) a)) (-.f64 b a))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 a b))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (.f64 (-.f64 a b) a))
(neg.f64 (*.f64 (neg.f64 a) (+.f64 a b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 a b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 a b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 a b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 a b))
(fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) a))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 a b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 a b))
(fma.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 a (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 a (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 a a (*.f64 a b))
(fma.f64 a b (*.f64 a a))
(fma.f64 b a (*.f64 a a))
(-.f64 (.f64 a b) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(-.f64 (.f64 a b) (.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(-.f64 (.f64 a b) (.f64 (neg.f64 a) a))
(-.f64 (.f64 a a) (.f64 (neg.f64 a) b))
(+.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a))
(+.f64 (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a))) a))
(+.f64 (.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 a (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(+.f64 (.f64 a (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(+.f64 (.f64 a b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 a b))

eval181.0ms (3.4%)

Memory: 3.0MiB live, 190.2MiB allocated
Compiler: Compiled 21 457 to 2 005 computations (90.7% saved)

prune10.0ms (0.2%)

Memory

37.5MiB live, 37.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	578	0	578
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	578	5	583

Accuracy

100.0%

Counts

583 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a)))
✓	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 156 to 61 computations (60.9% saved)

regimes132.0ms (2.5%)

Memory

-26.2MiB live, 20.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	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)

regimes8.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.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)

regimes30.0ms (0.6%)

Memory

-36.9MiB live, 16.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(+.f64 a b)
2.0ms	b
2.0ms	(*.f64 (+.f64 a b) (+.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 (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	b
2.0ms	(+.f64 a b)
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	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)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#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))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 a b)`
99.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(+.f64 a b)`
98.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.9%	1	`a`
98.9%	1	`b`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify115.0ms (2.1%)

Memory

-5.7MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	89
1	41	89
2	85	89
3	206	89
4	548	89
5	906	89
6	1734	89
7	4122	89
8	6252	89

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness819.0ms (15.3%)

Memory

-4.5MiB live, 363.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	129
0	32	121
1	131	121
2	1047	113
0	8748	113
0	65	179
1	218	169
2	725	161
3	3280	161
0	8199	147

Stop Event

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

Compiler

Compiled 133 to 55 computations (58.6% saved)

preprocess106.0ms (2%)

Memory: 23.0MiB live, 212.4MiB allocated
Compiler: Compiled 310 to 120 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze30.0ms (0.6%)

sample1.7s (32.4%)

explain67.0ms (1.2%)

preprocess171.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify61.0ms (1.1%)

localize30.0ms (0.6%)

series3.0ms (0%)

simplify169.0ms (3.1%)

rewrite145.0ms (2.7%)

eval147.0ms (2.7%)

prune35.0ms (0.7%)

simplify151.0ms (2.8%)

localize45.0ms (0.8%)

series36.0ms (0.7%)

simplify211.0ms (3.9%)

rewrite227.0ms (4.2%)

eval144.0ms (2.7%)

prune7.0ms (0.1%)

simplify62.0ms (1.2%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify190.0ms (3.5%)

rewrite254.0ms (4.7%)

eval181.0ms (3.4%)

prune10.0ms (0.2%)

regimes132.0ms (2.5%)

regimes8.0ms (0.2%)

regimes30.0ms (0.6%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify115.0ms (2.1%)

soundness819.0ms (15.3%)

preprocess106.0ms (2%)

end0.0ms (0%)

Profiling