Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze35.0ms (0.7%)

Memory

15.6MiB live, 54.2MiB 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)

sample1.4s (29.5%)

Memory

18.8MiB live, 1 416.5MiB allocated

Samples

911.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 683.0ms

ival-add: 271.0ms (39.7% of total)

const: 171.0ms (25% of total)

ival-<=: 123.0ms (18% of total)

ival-mult: 73.0ms (10.7% of total)

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

exact: 15.0ms (2.2% of total)

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

Bogosity

explain74.0ms (1.5%)

Memory

-8.4MiB live, 103.0MiB 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

52.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 26.0ms (86.2% of total)

ival-mult: 3.0ms (9.9% of total)

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

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

preprocess81.0ms (1.7%)

Memory

-1.1MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
518×	`unsub-neg`
446×	`distribute-lft-in`
286×	`distribute-lft-out`
280×	`associate-+l-`

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify5.0ms (0.1%)

Memory

10.3MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
86×	`lower-+.f32`
84×	`lower-+.f64`
50×	`associate-+r+`

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

localize40.0ms (0.8%)

Memory

-12.6MiB live, 26.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.02734375	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

36.0ms

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 (59% of total)

ival-add: 1.0ms (29.5% of total)

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

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

series3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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))

simplify125.0ms (2.6%)

Memory

13.9MiB live, 164.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
2 898×	`lower-*.f64`
2 898×	`lower-*.f32`
1 650×	`unsub-neg`

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)

rewrite359.0ms (7.4%)

Memory

-4.7MiB live, 319.2MiB allocated

Rules

5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`
4 194×	`lower-fma.f32`
3 878×	`lower-/.f64`

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

eval314.0ms (6.5%)

Memory: -13.5MiB live, 294.3MiB allocated
Compiler: Compiled 43 687 to 2 966 computations (93.2% saved)

prune18.0ms (0.4%)

Memory

-1.1MiB live, 75.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1 138	3	1 141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 138	4	1 142

Accuracy

100.0%

Counts

1 142 → 4

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%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
▶	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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	(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))

Rules

124×	`lower-fma.f32`
120×	`lower-fma.f64`
86×	`lower-+.f32`
84×	`lower-+.f64`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
0	21	59
1	36	59
2	53	59
3	88	59
4	113	59
5	128	59
6	139	59
0	139	59

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 (+.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 (+.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

1.9MiB live, 96.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.0078125	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0.03125	(*.f64 (+.f64 b a) a)
accuracy	0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0.015625	(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy	0.1386576431593503	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy	0	(*.f64 b b)
accuracy	1.0183111369906508	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

29.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (60.8% of total)

ival-add: 5.0ms (33.8% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-8.9MiB live, 28.8MiB allocated

Counts

8 → 180

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ 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 a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))
1.0ms	b	@	0	((* (+ a b) (+ a b)) (* b b) (* (+ a b) (+ a b)) (* (+ (* 2 a) b) b) (+ (* 2 a) b) (+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ 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 a) b) (* (+ b a) a)) (+ b a) (* (+ 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 a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a))

simplify139.0ms (2.9%)

Memory

19.1MiB live, 254.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 726×	`lower-fma.f64`
8 726×	`lower-fma.f32`
2 964×	`lower-*.f64`
2 964×	`lower-*.f32`
1 708×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1050
1	283	1032
2	768	1032
3	2244	1032
4	4776	1032
5	7926	1032
0	8343	906

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 171

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

rewrite339.0ms (7%)

Memory

-40.3MiB live, 350.4MiB allocated

Rules

8 430×	`lower-fma.f32`
8 426×	`lower-fma.f64`
5 802×	`lower-*.f32`
5 796×	`lower-*.f64`
4 950×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	21	47
1	79	47
2	658	47
0	8240	47

Stop Event

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

Counts

8 → 692

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b) (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 4 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(.f64 (/.f64 (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(.f64 (/.f64 (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 4 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) (.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) b))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (*.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) b) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) b) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) b) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (.f64 b (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a)))) (-.f64 b (.f64 #s(literal 2 binary64) a)))
(/.f64 (.f64 b (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (neg.f64 (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(/.f64 (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)))) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 b (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 b (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) b) a (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 b b))
(fma.f64 b b (.f64 (.f64 b a) #s(literal 2 binary64)))
(fma.f64 a (.f64 #s(literal 2 binary64) b) (.f64 b b))
(+.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 (*.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 4 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (-.f64 (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a))) (.f64 #s(literal 4 binary64) (.f64 a a))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) (fma.f64 (.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 b (.f64 #s(literal 2 binary64) a))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b))))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) (.f64 (fma.f64 #s(literal 2 binary64) a b) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 #s(literal 2 binary64) a) b)))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) a b) (.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 a a) (*.f64 b b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 8 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 (neg.f64 b) b)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) a) b))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) a) a (.f64 b (-.f64 b (.f64 #s(literal 2 binary64) a)))))
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(/.f64 (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 b a) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b a) (*.f64 a a)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) a))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 a (-.f64 a b) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 b a) a) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (.f64 (+.f64 b a) (.f64 (-.f64 b a) a)) (-.f64 b a))
(/.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) a)) (-.f64 a b))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (fma.f64 a (-.f64 a b) (.f64 b b)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (.f64 (.f64 (+.f64 b a) a) (-.f64 b a)) (-.f64 b a))
(/.f64 (.f64 (.f64 (+.f64 b a) a) (-.f64 a b)) (-.f64 a b))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (+.f64 b a) (.f64 (-.f64 b a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (+.f64 b a) (.f64 (-.f64 a b) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (.f64 b b)) (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 b a) a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (.f64 (+.f64 b a) a) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (pow.f64 a #s(literal 4 binary64)))))
(/.f64 a (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b a))
(fma.f64 b a (*.f64 a a))
(fma.f64 a b (*.f64 a a))
(fma.f64 a a (*.f64 b a))
(+.f64 (.f64 b a) (.f64 a a))
(+.f64 (.f64 a a) (.f64 b a))

eval338.0ms (7%)

Memory: 3.2MiB live, 190.2MiB allocated
Compiler: Compiled 24 375 to 2 136 computations (91.2% saved)

prune22.0ms (0.5%)

Memory

-21.8MiB live, 66.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	983	1	984
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	983	5	988

Accuracy

100.0%

Counts

988 → 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 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 37 to 25 computations (32.4% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

32×	`lower-+.f32`
30×	`lower-+.f64`
28×	`lower-fma.f32`
26×	`lower-fma.f64`
16×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	12	31
1	17	31
2	23	31
3	31	31
4	35	31
0	35	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

3.9MiB live, 40.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0.0078125	(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
accuracy	0.9515542624901762	#s(approx (* (+ b a) a) (*.f64 b a))

Samples

14.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-mult: 5.0ms (67.9% of total)

ival-add: 2.0ms (27.2% of total)

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

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

series6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<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 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 (* a b) (taylor inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt 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 (* a b) (taylor 0 a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a))) (patch (fma.f64 (+.f64 b a) b #s(approx ( (+ b a) a) (*.f64 b 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 #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt #s(approx (* (+ b a) a) (.f64 b a)) (patch #s(approx ( (+ b a) a) (*.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 (* 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	@	0	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms	b	@	-inf	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms	a	@	-inf	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms	a	@	inf	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))
1.0ms	b	@	inf	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))

simplify124.0ms (2.6%)

Memory

11.2MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 240×	`lower-fma.f64`
9 240×	`lower-fma.f32`
2 966×	`lower-*.f64`
2 966×	`lower-*.f32`
2 088×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	450
1	230	444
2	604	444
3	1834	432
4	4283	432
5	7367	432
0	8197	402

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

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 a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* 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)))))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) 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))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* 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)))))
(* 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))
b
(+ a b)
(+ a b)
(+ a b)
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ 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)))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* 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))))
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 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* 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))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(+ (* a b) (pow a 2))
(*.f64 (+.f64 b a) a)
(+ (* a b) (pow a 2))
(*.f64 (+.f64 b a) a)
(+ (* a b) (pow a 2))
(*.f64 (+.f64 b a) a)
(* 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))
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* a b)
(*.f64 b a)
(* b (+ a (/ (pow a 2) b)))
(*.f64 (+.f64 b a) a)
(* b (+ a (/ (pow a 2) b)))
(*.f64 (+.f64 b a) a)
(* b (+ a (/ (pow a 2) b)))
(*.f64 (+.f64 b a) a)
(* 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))
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)
(* a b)
(*.f64 b a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 (+.f64 b a) a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 (+.f64 b a) a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 (+.f64 b a) a)
(* 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))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b 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)
(* 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))
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 (/ 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 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))
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 (/ 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 b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)

rewrite355.0ms (7.3%)

Memory

-33.2MiB live, 254.1MiB allocated

Rules

5 454×	`lower-fma.f32`
5 452×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 246×	`lower-*.f64`
4 166×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	12	29
1	41	29
2	295	29
3	3582	29
0	9378	29

Stop Event

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

Counts

4 → 225

Calls

Call 1

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

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

eval80.0ms (1.7%)

Memory: 11.6MiB live, 90.0MiB allocated
Compiler: Compiled 8 096 to 725 computations (91% saved)

prune6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	315	5	320

Accuracy

100.0%

Counts

320 → 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 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	99.8%	#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
✓	98.4%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 74 to 41 computations (44.6% saved)

regimes41.0ms (0.9%)

Memory

-0.3MiB live, 38.8MiB 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 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
(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:

29.0ms	(+.f64 a b)
4.0ms	b
4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	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)

regimes39.0ms (0.8%)

Memory

0.4MiB live, 41.4MiB 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 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))

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

Calls

4 calls:

28.0ms	(+.f64 a b)
4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
4.0ms	b
3.0ms	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)

regimes14.0ms (0.3%)

Memory

-1.2MiB live, 37.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
3.0ms	a

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes12.0ms (0.2%)

Memory

-8.5MiB live, 30.0MiB 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:

4.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.4%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify24.0ms (0.5%)

Memory

12.7MiB live, 50.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	19	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 (+.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))

soundness686.0ms (14.2%)

Memory

-25.4MiB live, 210.2MiB allocated

Rules

7 026×	`lower-fma.f64`
7 026×	`lower-fma.f32`
5 646×	`lower-*.f32`
5 644×	`lower-*.f64`
4 194×	`lower-fma.f64`

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 64 to 29 computations (54.7% saved)

preprocess48.0ms (1%)

Memory: 31.9MiB live, 109.2MiB allocated
Compiler: Compiled 160 to 78 computations (51.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (0.7%)

sample1.4s (29.5%)

explain74.0ms (1.5%)

preprocess81.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize40.0ms (0.8%)

series3.0ms (0.1%)

simplify125.0ms (2.6%)

rewrite359.0ms (7.4%)

eval314.0ms (6.5%)

prune18.0ms (0.4%)

simplify6.0ms (0.1%)

localize40.0ms (0.8%)

series12.0ms (0.2%)

simplify139.0ms (2.9%)

rewrite339.0ms (7%)

eval338.0ms (7%)

prune22.0ms (0.5%)

simplify4.0ms (0.1%)

localize23.0ms (0.5%)

series6.0ms (0.1%)

simplify124.0ms (2.6%)

rewrite355.0ms (7.3%)

eval80.0ms (1.7%)

prune6.0ms (0.1%)

regimes41.0ms (0.9%)

regimes39.0ms (0.8%)

regimes14.0ms (0.3%)

regimes12.0ms (0.2%)

simplify24.0ms (0.5%)

soundness686.0ms (14.2%)

preprocess48.0ms (1%)

end0.0ms (0%)

Profiling