Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze20.0ms (0.4%)

Memory

-3.9MiB live, 34.0MiB 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)

sample1.6s (32.6%)

Memory

-53.2MiB live, 1 317.1MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 744.0ms

const: 461.0ms (61.9% of total)

ival-<=: 116.0ms (15.6% of total)

ival-add: 74.0ms (9.9% of total)

ival-mult: 51.0ms (6.9% of total)

ival-and: 24.0ms (3.2% of total)

exact: 15.0ms (2% of total)

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

Bogosity

explain46.0ms (0.9%)

Memory

21.3MiB live, 91.3MiB 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 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 6.0ms (59.8% of total)

ival-mult: 3.0ms (29.9% of total)

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

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

preprocess82.0ms (1.7%)

Memory

7.3MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	211	35
3	572	35
4	1272	35
5	2103	35
6	2889	35
7	3045	35
8	3045	35
9	3045	35
10	3087	35
11	3103	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	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

1.1MiB live, 1.1MiB 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)

simplify4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	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

localize20.0ms (0.4%)

Memory

-14.9MiB live, 37.9MiB 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

17.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 2.0ms (61% of total)

ival-add: 1.0ms (30.5% of total)

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

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

series2.0ms (0.1%)

Memory

6.1MiB live, 6.0MiB 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))

simplify125.0ms (2.6%)

Memory

-60.0MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101

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

rewrite344.0ms (7.1%)

Memory

20.0MiB live, 251.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2845	8
0	9192	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) #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)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 b a) b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)) #s(literal 1 binary64)))
(.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 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #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 (+.f64 (pow.f64 b #s(literal 3 binary64)) (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)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)) #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 (.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 2 binary64)) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #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 b a) b (*.f64 a a)))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b 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 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 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 (.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)) (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)))
(.f64 (/.f64 (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))) (/.f64 (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))))
(.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))))
(.f64 (/.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))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 a b) #s(literal -2 binary64)) (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.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 -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal 2 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (+.f64 b a) b) (/.f64 (-.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1 binary64))) (pow.f64 (*.f64 (+.f64 b a) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) (pow.f64 (-.f64 a b) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 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 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 b a) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.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 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.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)))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (+.f64 b a) (-.f64 a b)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))))
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(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 b b (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (pow.f64 (.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64))) (fma.f64 a (/.f64 a (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b)))))
(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64)) (.f64 (.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.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 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 b a) b (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(/.f64 (-.f64 (.f64 (.f64 a a) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (-.f64 a b) (fma.f64 b b (.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (-.f64 a b) (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (-.f64 a b)))
(/.f64 (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 (-.f64 a b) (+.f64 b a)) (-.f64 a b))
(/.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 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)))
(neg.f64 (/.f64 (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))))
(neg.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))))
(neg.f64 (/.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)))))
(fma.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (/.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 a (/.f64 a (-.f64 a b)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(-.f64 (/.f64 (.f64 b b) (-.f64 b a)) (/.f64 (.f64 a a) (-.f64 b a)))
(-.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 b (/.f64 b (-.f64 a b))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 b a)))
(+.f64 (.f64 a (/.f64 a (-.f64 a b))) (neg.f64 (.f64 b (/.f64 b (-.f64 a b)))))
(+.f64 b a)
(+.f64 a b)

eval255.0ms (5.2%)

Memory: 6.4MiB live, 279.1MiB allocated
Compiler: Compiled 43 302 to 2 968 computations (93.1% saved)

prune19.0ms (0.4%)

Memory

-4.7MiB live, 71.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 083	5	1 088
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 083	6	1 089

Accuracy

100.0%

Counts

1 089 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
▶	100.0%	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
✓	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) b a) a (*.f64 b b)))
▶	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 133 to 72 computations (45.9% saved)

simplify6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 b a) b)
cost-diff	0	(+.f64 b a)
cost-diff	384	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 #s(literal 2 binary64) b a)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
cost-diff	384	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 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))
cost-diff	0	(+.f64 b a)
cost-diff	0	(*.f64 (+.f64 b a) a)
cost-diff	192	(fma.f64 b a (*.f64 (+.f64 b a) a))
cost-diff	384	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	127
0	34	126
1	61	117
2	86	114
3	123	114
4	134	114
5	140	114
0	140	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (1.5%)

Memory

-27.7MiB live, 141.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0078125	(*.f64 (+.f64 b a) b)
accuracy	0.01953125	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) b a)
accuracy	0.0	(*.f64 b b)
accuracy	0.0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.1544082331387332	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0.0	(*.f64 b b)
accuracy	0.8635725356669562	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
accuracy	0.0	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
accuracy	0.0	(fma.f64 b a (*.f64 (+.f64 b a) a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0078125	(*.f64 (+.f64 b a) a)

Samples

50.0ms

256×

valid

Compiler

Compiled 244 to 41 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 29.0ms (76.6% of total)

ival-add: 9.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

14 → 49

Calls

Call 1

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

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

Calls

6 calls:

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

simplify142.0ms (2.9%)

Memory

-9.8MiB live, 113.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	273
1	365	273
2	986	273
3	2722	273
4	5650	273
0	8059	241

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite346.0ms (7.1%)

Memory

-26.3MiB live, 216.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	34	102
1	146	92
2	1268	92
0	8389	92

Stop Event

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

Counts

14 → 1 032

Calls

Call 1

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

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

eval175.0ms (3.6%)

Memory: 33.9MiB live, 150.0MiB allocated
Compiler: Compiled 22 993 to 2 168 computations (90.6% saved)

prune56.0ms (1.2%)

Memory

-2.1MiB live, 41.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	775	1	776
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	778	4	782

Accuracy

100.0%

Counts

782 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 b b (*.f64 (+.f64 (+.f64 a b) b) a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 42 to 24 computations (42.9% saved)

simplify5.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 a b)
cost-diff	0	(+.f64 (+.f64 a b) b)
cost-diff	0	(*.f64 (+.f64 (+.f64 a b) b) a)
cost-diff	384	(fma.f64 b b (*.f64 (+.f64 (+.f64 a b) b) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	27
0	11	27
1	17	27
2	33	27
3	70	27
4	98	24
5	111	24
6	111	24
0	111	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.6%)

Memory

-18.4MiB live, 19.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (43.2% of total)

ival-mult: 3.0ms (43.2% of total)

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

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

series3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify201.0ms (4.1%)

Memory

22.9MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	171
1	247	171
2	651	171
3	2028	171
4	4541	171
5	7596	171
0	8182	147

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

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

rewrite205.0ms (4.2%)

Memory

-39.1MiB live, 206.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	25
0	11	25
1	53	25
2	469	20
3	7860	20
0	8393	18

Stop Event

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

Counts

4 → 397

Calls

Call 1

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

Outputs
(.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) b (*.f64 a a)))
(.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 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 b #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (*.f64 (fma.f64 #s(literal 2 binary64) b a) a)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)))) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 a b)) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 (neg.f64 b) b))))
(.f64 (pow.f64 (fma.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) b a) (.f64 b b)) #s(literal -1 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) b a) (*.f64 b b)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 2 binary64) b a) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 (fma.f64 #s(literal 2 binary64) b a) a) (pow.f64 b #s(literal 4 binary64))))))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 a b)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 a b)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 a b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) #s(literal 2 binary64))))
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(+.f64 a b)
(+.f64 b a)

eval68.0ms (1.4%)

Memory: 35.9MiB live, 194.2MiB allocated
Compiler: Compiled 10 203 to 1 383 computations (86.4% saved)

prune8.0ms (0.2%)

Memory

-9.9MiB live, 28.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	407	4	411

Accuracy

100.0%

Counts

411 → 4

Alt Table

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Status	Accuracy	Program
✓	100.0%	(fma.f64 b b (*.f64 (+.f64 (+.f64 a b) b) a))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 122 to 48 computations (60.7% saved)

regimes28.0ms (0.6%)

Memory

-19.1MiB live, 19.5MiB allocated

Counts

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

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

Calls

4 calls:

20.0ms	a
3.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB 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 (fma.f64 #s(literal 2 binary64) b a) a (*.f64 b b)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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	b
1.0ms	(+.f64 a b)
1.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`b`
99.8%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.8%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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 (+.f64 a b) (+.f64 a b))
1.0ms	(+.f64 a b)
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.7%	1	`a`
98.7%	1	`b`
98.7%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.7%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify29.0ms (0.6%)

Memory

-26.4MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	22	42
2	38	42
3	66	42
4	89	42
5	104	42
6	113	42
7	119	42

Stop Event

1×

saturated

Calls

Call 1

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

soundness876.0ms (18%)

Memory

10.8MiB live, 282.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2845	8
0	9192	8
0	65	125
1	193	125
2	488	125
3	1603	117
4	3903	117
5	7023	117
0	8059	101
0	19	110
0	34	102
1	146	92
2	1268	92
0	8389	92

Stop Event

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

Compiler

Compiled 95 to 41 computations (56.8% saved)

preprocess85.0ms (1.7%)

Memory: 25.1MiB live, 107.8MiB allocated
Compiler: Compiled 168 to 78 computations (53.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze20.0ms (0.4%)

sample1.6s (32.6%)

explain46.0ms (0.9%)

preprocess82.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.4%)

series2.0ms (0.1%)

simplify125.0ms (2.6%)

rewrite344.0ms (7.1%)

eval255.0ms (5.2%)

prune19.0ms (0.4%)

simplify6.0ms (0.1%)

localize73.0ms (1.5%)

series11.0ms (0.2%)

simplify142.0ms (2.9%)

rewrite346.0ms (7.1%)

eval175.0ms (3.6%)

prune56.0ms (1.2%)

simplify5.0ms (0.1%)

localize28.0ms (0.6%)

series3.0ms (0.1%)

simplify201.0ms (4.1%)

rewrite205.0ms (4.2%)

eval68.0ms (1.4%)

prune8.0ms (0.2%)

regimes28.0ms (0.6%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify29.0ms (0.6%)

soundness876.0ms (18%)

preprocess85.0ms (1.7%)

end0.0ms (0%)

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