Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze18.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB 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)

sample1.2s (23.9%)

Memory

10.8MiB live, 1 383.3MiB allocated

Samples

767.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

const: 157.0ms (39.5% of total)

ival-<=: 87.0ms (21.9% of total)

ival-add: 56.0ms (14.1% of total)

ival-mult: 53.0ms (13.3% of total)

ival-and: 26.0ms (6.5% of total)

exact: 15.0ms (3.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain47.0ms (0.9%)

Memory

-2.6MiB live, 85.3MiB 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

24.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

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

ival-add: 3.0ms (44.9% of total)

ival-mult: 3.0ms (44.9% of total)

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

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

preprocess82.0ms (1.6%)

Memory

-5.0MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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

3.6MiB live, 3.6MiB 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

localize12.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.03125	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

9.0ms

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 (60.4% of total)

ival-add: 1.0ms (30.2% of total)

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

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

series3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())

Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (.f64 (+.f64 a b) (+.f64 a b)) (patch (.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify378.0ms (7.4%)

Memory

-14.4MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite355.0ms (6.9%)

Memory

10.4MiB live, 251.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval384.0ms (7.5%)

Memory: 5.5MiB live, 466.3MiB allocated
Compiler: Compiled 43 687 to 2 966 computations (93.2% saved)

prune48.0ms (0.9%)

Memory

-24.8MiB live, 106.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 137	4	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 137	5	1 142

Accuracy

100.0%

Counts

1 142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
▶	100.0%	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify8.0ms (0.2%)

Memory

-27.0MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 b a) a)
cost-diff	0	(+.f64 b a)
cost-diff	384	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
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)))
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	15	91
0	26	89
1	48	83
2	67	83
3	94	83
4	117	83
5	123	83
0	123	82

Stop Event

1×	iter limit
1×	saturated
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
(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)
(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)) (*.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
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
(*.f64 (+.f64 b a) (+.f64 b a))
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 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)

localize40.0ms (0.8%)

Memory

35.1MiB live, 73.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.0234375	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0.0234375	(*.f64 (+.f64 b a) a)
accuracy	0	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(fma.f64 b a (*.f64 (+.f64 b a) a))
accuracy	0.0234375	(*.f64 (+.f64 b a) a)
accuracy	0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.1598965131472326	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0	(*.f64 b b)
accuracy	0.9298761666249744	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

29.0ms

256×

valid

Compiler

Compiled 88 to 18 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (52.7% of total)

ival-add: 9.0ms (47.4% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1.8%)

Memory

-10.1MiB live, 27.1MiB allocated

Counts

10 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())
#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())

Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ b (* 2 a))) (taylor 0 b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 b b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx ( (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) (patch (fma.f64 b b (fma.f64 b a (.f64 (+.f64 b a) a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 b a (.f64 (+.f64 b a) a)) (patch (fma.f64 b a (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) a) (patch (.f64 (+.f64 b a) a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) (patch (fma.f64 (+.f64 b a) b (.f64 (+.f64 b a) a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	b	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)))
2.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)))
2.0ms	b	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)))
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)))
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* b b) (+ (* b a) (* (+ b a) a))) (+ (* b a) (* (+ b a) a)) (* (+ b a) a) (+ b a) (+ (* (+ b a) b) (* (+ b a) a)))

simplify159.0ms (3.1%)

Memory

8.3MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1434
1	300	1374
2	823	1374
3	2305	1374
4	4790	1374
0	8061	1200

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 219

Calls

Call 1

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

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

rewrite366.0ms (7.1%)

Memory

3.3MiB live, 225.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	26	69
1	113	59
2	993	59
0	8141	59

Stop Event

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

Counts

10 → 981

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval398.0ms (7.8%)

Memory: -4.1MiB live, 367.0MiB allocated
Compiler: Compiled 37 371 to 1 973 computations (94.7% saved)

prune28.0ms (0.5%)

Memory

4.6MiB live, 121.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 400	1	1 401
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 401	5	1 406

Accuracy

100.0%

Counts

1 406 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
▶	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 37 to 26 computations (29.7% saved)

simplify4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	15	40
1	25	40
2	40	40
3	50	40
4	53	40
5	53	40
0	53	38

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.5%)

Memory

-33.7MiB live, 47.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
accuracy	0	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0	(*.f64 b a)
accuracy	0.8175387985787038	#s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 6.0ms (60.5% of total)

ival-add: 3.0ms (30.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())

Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* 2 a) (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf b) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* a (+ a (* 2 b))) (taylor 0 a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor 0 a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) (patch (fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (.f64 (.f64 b a) #s(literal 2 binary64)) (patch (.f64 (.f64 b a) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 b a) (patch (.f64 b a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify103.0ms (2%)

Memory

-2.0MiB live, 151.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	588
1	166	546
2	470	546
3	1335	534
4	3285	534
5	6437	534
0	8159	486

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite174.0ms (3.4%)

Memory

16.9MiB live, 212.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	15	37
1	61	37
2	460	37
3	5334	37
0	8454	35

Stop Event

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

Counts

4 → 78

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval19.0ms (0.4%)

Memory: 15.4MiB live, 53.6MiB allocated
Compiler: Compiled 3 351 to 250 computations (92.5% saved)

prune9.0ms (0.2%)

Memory

-30.0MiB live, 18.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	174	5	179

Accuracy

100.0%

Counts

179 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
✓	99.8%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.7%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.5%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 85 to 45 computations (47.1% saved)

regimes11.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))

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

Calls

4 calls:

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

regimes11.0ms (0.2%)

Memory

-21.0MiB live, 17.3MiB 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`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)

regimes9.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB 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))
(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))

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))
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)

regimes8.0ms (0.2%)

Memory

-25.6MiB live, 12.6MiB 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:

3.0ms	a
2.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	(+.f64 a b)
2.0ms	b

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`
98.5%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.5%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify24.0ms (0.5%)

Memory

2.5MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	21	53

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.0s (19.6%)

Memory

19.1MiB live, 244.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

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

Compiler

Compiled 104 to 42 computations (59.6% saved)

preprocess53.0ms (1%)

Memory: 26.0MiB live, 101.4MiB allocated
Compiler: Compiled 210 to 100 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze18.0ms (0.4%)

sample1.2s (23.9%)

explain47.0ms (0.9%)

preprocess82.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

simplify378.0ms (7.4%)

rewrite355.0ms (6.9%)

eval384.0ms (7.5%)

prune48.0ms (0.9%)

simplify8.0ms (0.2%)

localize40.0ms (0.8%)

series95.0ms (1.8%)

simplify159.0ms (3.1%)

rewrite366.0ms (7.1%)

eval398.0ms (7.8%)

prune28.0ms (0.5%)

simplify4.0ms (0.1%)

localize26.0ms (0.5%)

series7.0ms (0.1%)

simplify103.0ms (2%)

rewrite174.0ms (3.4%)

eval19.0ms (0.4%)

prune9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

simplify24.0ms (0.5%)

soundness1.0s (19.6%)

preprocess53.0ms (1%)

end0.0ms (0%)

Profiling