Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze48.0ms (0.8%)

Memory

-34.3MiB live, 16.9MiB 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 (22.5%)

Memory

22.8MiB live, 1 438.0MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 622.0ms

ival-<=: 287.0ms (46.1% of total)

const: 153.0ms (24.6% of total)

ival-mult: 90.0ms (14.5% of total)

ival-add: 52.0ms (8.4% of total)

ival-and: 23.0ms (3.7% of total)

exact: 13.0ms (2.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain41.0ms (0.7%)

Memory

25.4MiB live, 63.4MiB 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

17.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.6% of total)

ival-mult: 3.0ms (46.6% of total)

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

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

preprocess81.0ms (1.3%)

Memory

-14.9MiB live, 22.8MiB 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 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (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 9 to 4 computations (55.6% saved)

simplify5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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

localize11.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.01171875	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

8.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 1.0ms (33.1% of total)

ival-mult: 1.0ms (33.1% of total)

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

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

series42.0ms (0.7%)

Memory

-32.5MiB live, 4.5MiB 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
39.0ms	b	@	-inf	((* (+ a b) (+ a b)) (+ a b))
1.0ms	a	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	a	@	-inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	inf	((* (+ a b) (+ a b)) (+ a b))
0.0ms	b	@	0	((* (+ a b) (+ a b)) (+ a b))

simplify110.0ms (1.8%)

Memory

29.7MiB live, 106.6MiB 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)

rewrite456.0ms (7.6%)

Memory

-210.4MiB live, 398.1MiB 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 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (+.f64 b a))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) a)) a (.f64 (.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) b)) (.f64 (-.f64 b a) b)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (.f64 a a) a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 b a) a) a) (+.f64 b a) (.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) a))))) #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)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) #s(literal 2 binary64)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (fma.f64 (+.f64 b a) b (*.f64 a a))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)) (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) a)) a (.f64 (.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) b)) (.f64 (-.f64 b a) b)))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 2 binary64)) (.f64 (+.f64 b a) (+.f64 b a)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (fma.f64 (+.f64 b a) b (.f64 a a)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (-.f64 (.f64 a a) (.f64 (-.f64 b a) b)))) (-.f64 (.f64 a a) (*.f64 (-.f64 b a) b)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) a)) a (.f64 (.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) b)) (.f64 (-.f64 b a) b)))) (fma.f64 (.f64 (-.f64 b a) b) (-.f64 (.f64 (-.f64 b a) b) (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))))
(.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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (fma.f64 (-.f64 b a) b (.f64 a a))) (/.f64 (neg.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))) (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (-.f64 a b))) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a))))
(.f64 (.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))))
(.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (+.f64 b a))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a)))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 b a) a) a) (+.f64 b a) (.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) a))))))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 a b))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a b) (-.f64 a b))))
(.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a))) (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a))) (pow.f64 (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a)))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.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)) (.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.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 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.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)) (.f64 (-.f64 a b) (-.f64 a b))))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 b a)))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (pow.f64 (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))) (+.f64 b a)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a)))))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a))) (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (pow.f64 (/.f64 (-.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 b a) (+.f64 b a)) (pow.f64 (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b))) #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 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (.f64 (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a)) (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) a) a) (+.f64 b a) (.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 (+.f64 b a) a)))) (fma.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (.f64 (*.f64 a a) a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a)))) #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)) (fma.f64 (.f64 b b) b (.f64 (*.f64 a a) a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 b a) b (.f64 a a))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -2 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #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))) (.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) b) (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (-.f64 b a) (.f64 #s(literal 1 binary64) a))) (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) 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))))) (.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) b) (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (-.f64 b a) (.f64 a #s(literal 1 binary64)))) (*.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) 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 (.f64 b a) (.f64 a a)) (.f64 (-.f64 b a) (-.f64 (.f64 (.f64 (.f64 b a) b) a) (.f64 (.f64 a a) (.f64 a a))))) (.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 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 b a) b) a)))) (.f64 (-.f64 b a) (.f64 a (-.f64 a b))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) b) (fma.f64 (.f64 (.f64 b a) b) a (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b a) (.f64 a a)))) (.f64 (-.f64 b a) (fma.f64 (.f64 (.f64 (.f64 b a) b) a) (.f64 b a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))))) (.f64 (-.f64 b a) (fma.f64 (.f64 (.f64 b a) b) a (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b a) (*.f64 a a))))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 b a) (-.f64 b a)) b) (fma.f64 (.f64 a a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 b a) b) a) (.f64 (.f64 a a) (.f64 b a)))) (.f64 (-.f64 b a) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a))))) (.f64 (-.f64 b a) (fma.f64 (.f64 a a) (.f64 a a) (-.f64 (.f64 (.f64 (.f64 b a) b) a) (.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))))
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(.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.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) (/.f64 #s(literal 1 binary64) (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 a b)))
(.f64 (+.f64 b a) (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(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 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))))) (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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)))) (exp.f64 (log.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(/.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (fma.f64 b b (*.f64 a a)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b))) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a)))) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 b a) b (.f64 a a)))) (fma.f64 (.f64 (.f64 b b) b) (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))))
(/.f64 (-.f64 (.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 a (/.f64 a (-.f64 a b)))) (.f64 (.f64 b (/.f64 b (-.f64 a b))) (.f64 b (/.f64 b (-.f64 a b))))) (fma.f64 a (/.f64 a (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (-.f64 a b) (-.f64 a b)) (-.f64 a b))) (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (-.f64 a b) (-.f64 a b)) (-.f64 a b)))) (fma.f64 (.f64 a (/.f64 a (-.f64 a b))) (.f64 a (/.f64 a (-.f64 a b))) (fma.f64 (.f64 b (/.f64 b (-.f64 a b))) (.f64 b (/.f64 b (-.f64 a b))) (.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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) #s(literal 1 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b)) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a))) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 b b) b) (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) #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))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (-.f64 a b) (fma.f64 b b (*.f64 a a))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (.f64 (-.f64 a b) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (.f64 (fma.f64 (-.f64 b a) b (.f64 a a)) (fma.f64 (.f64 (.f64 b b) b) (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))
(/.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (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 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (neg.f64 (fma.f64 (-.f64 b a) b (.f64 a a)))))
(fma.f64 (/.f64 (.f64 a a) (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (-.f64 a b))) (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) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (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)

eval343.0ms (5.7%)

Memory: 0.8MiB live, 306.9MiB allocated
Compiler: Compiled 52 177 to 2 959 computations (94.3% saved)

prune354.0ms (5.9%)

Memory

0.8MiB live, 372.2MiB 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%	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.9%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 39 to 17 computations (56.4% saved)

simplify6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	(*.f64 (+.f64 b a) b)
cost-diff	0	(+.f64 b a)
cost-diff	384	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
0	17	49
1	29	49
2	40	49
3	68	49
4	91	49
5	107	49
6	116	49
7	122	49
0	122	49

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

localize62.0ms (1%)

Memory

-3.3MiB live, 71.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(fma.f64 (+.f64 b a) b (*.f64 (+.f64 b a) a))
accuracy	0.00390625	(*.f64 (+.f64 b a) a)
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(*.f64 (+.f64 b a) b)
accuracy	0.0078125	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
accuracy	0	(*.f64 b b)
accuracy	0.6941005284351555	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

55.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

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

ival-mult: 6.0ms (57.9% of total)

ival-add: 4.0ms (38.6% of total)

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

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

series11.0ms (0.2%)

Memory

-13.3MiB live, 24.3MiB allocated

Counts

7 → 156

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 (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<representation binary64>) () ())
#s(alt (+.f64 b a) (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b 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 (+.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 (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<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 (* a b) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ a b)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ a b)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ a b)) (taylor 0 b) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b 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 (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>) () ())) ())
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#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<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) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<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) a (.f64 (+.f64 b a) b)) (patch (fma.f64 (+.f64 b a) a (.f64 (+.f64 b a) b)) #<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 (* a b) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (.f64 (+.f64 b a) b) (patch (.f64 (+.f64 b 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 (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
4.0ms	a	@	inf	((* (+ a b) (+ a b)) (* b b) (+ (* (+ b a) a) (* (+ b a) b)) (+ b a) (* (+ b a) b) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a))
1.0ms	b	@	-inf	((* (+ a b) (+ a b)) (* b b) (+ (* (+ b a) a) (* (+ b a) b)) (+ b a) (* (+ b a) b) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a))
1.0ms	b	@	inf	((* (+ a b) (+ a b)) (* b b) (+ (* (+ b a) a) (* (+ b a) b)) (+ b a) (* (+ b a) b) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a))
1.0ms	b	@	0	((* (+ a b) (+ a b)) (* b b) (+ (* (+ b a) a) (* (+ b a) b)) (+ b a) (* (+ b a) b) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a))
1.0ms	a	@	-inf	((* (+ a b) (+ a b)) (* b b) (+ (* (+ b a) a) (* (+ b a) b)) (+ b a) (* (+ b a) b) (+ (* (+ b a) b) (* (+ b a) a)) (* (+ b a) a))

simplify151.0ms (2.5%)

Memory

-2.1MiB live, 237.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 800×	`lower-fma.f64`
9 800×	`lower-fma.f32`
3 098×	`lower-*.f64`
3 098×	`lower-*.f32`
2 036×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	942
1	267	924
2	705	924
3	2100	888
4	4781	888
5	7863	888
0	8437	798

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 150

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

rewrite441.0ms (7.3%)

Memory

17.0MiB live, 246.6MiB allocated

Rules

9 042×	`lower-fma.f32`
9 038×	`lower-fma.f64`
5 822×	`lower-*.f32`
5 816×	`lower-*.f64`
5 152×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	17	35
1	73	35
2	619	35
0	8336	35

Stop Event

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

Counts

7 → 1 149

Calls

Call 1

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

eval412.0ms (6.8%)

Memory: -4.7MiB live, 464.3MiB allocated
Compiler: Compiled 60 192 to 2 322 computations (96.1% saved)

prune369.0ms (6.1%)

Memory

5.2MiB live, 377.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 676	1	1 677
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	1 677	4	1 681

Accuracy

100.0%

Counts

1 681 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 17 computations (55.3% saved)

simplify5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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)

localize20.0ms (0.3%)

Memory

13.2MiB live, 50.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 b a)
accuracy	0.00390625	(fma.f64 (+.f64 b a) b #s(approx (* (+ b a) a) (*.f64 b a)))
accuracy	0.6519692456850439	#s(approx (* (+ b a) a) (*.f64 b a))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-add: 4.0ms (48.9% of total)

ival-mult: 4.0ms (48.9% of total)

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

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

series7.0ms (0.1%)

Memory

-19.6MiB live, 17.7MiB 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
2.0ms	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))
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))
0.0ms	a	@	0	((+ (* (+ b a) b) (* (+ b a) a)) (+ b a) (* (+ b a) a) (* b a))

simplify123.0ms (2%)

Memory

20.9MiB live, 178.0MiB 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)

rewrite379.0ms (6.3%)

Memory

-1.0MiB live, 212.9MiB 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 (fma.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)) (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b))) (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)) (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (-.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) b) (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (+.f64 a b) (+.f64 a b))) (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)) (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (-.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) b) (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) b) (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (*.f64 a b))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))) (pow.f64 (.f64 (+.f64 a b) b) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))) (-.f64 (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 (.f64 (.f64 (+.f64 a b) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) b)) (.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) b) (.f64 (.f64 (+.f64 a b) b) b)) (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b) (.f64 (*.f64 (+.f64 a b) (+.f64 a b)) b))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b)))) (-.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) b) (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))))) (fma.f64 #s(approx ( (+ b a) a) (.f64 a b)) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))) (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)))) (-.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b)) (.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 (.f64 (+.f64 a b) b) b) (+.f64 a b)) (.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 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) b) (.f64 (.f64 (+.f64 a b) b) b)) (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) b)) (.f64 (.f64 (.f64 (-.f64 #s(approx (* (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b)) (-.f64 #s(approx (* (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b))) (-.f64 #s(approx (* (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b))) (.f64 (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))))) (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))) (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b))) (.f64 (.f64 (.f64 (.f64 (+.f64 a b) b) b) (+.f64 a b)) (.f64 (.f64 (*.f64 (+.f64 a b) b) b) (+.f64 a b)))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b)))) (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (*.f64 a b))))
(.f64 (.f64 (fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (.f64 a b))) (-.f64 #s(approx ( (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (*.f64 a b))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b)))) (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (*.f64 a b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (*.f64 a b))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (*.f64 a b)))))
(.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (*.f64 a b))))
(.f64 (.f64 (neg.f64 (fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (.f64 a b)))) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (*.f64 a b)))))))
(.f64 (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))))
(.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)))) (/.f64 (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))) (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (*.f64 a b))))))
(.f64 (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b)))) (.f64 (fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (*.f64 a b)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (+.f64 a b)) (.f64 b b)) b (.f64 (.f64 #s(approx ( (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (.f64 a b))) #s(approx ( (+ b a) a) (.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 a b) b) (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (.f64 #s(approx (* (+ b a) a) (.f64 a b)) #s(approx ( (+ b a) a) (*.f64 a b))))))
(.f64 (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))) (/.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (.f64 a b))) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b)))))
(.f64 (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))) (.f64 (-.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 a b) b) #s(approx (* (+ b a) a) (*.f64 a b))))))
(pow.f64 (/.f64 (-.f64 #s(approx (* (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b)) (.f64 (fma.f64 (+.f64 a b) b #s(approx ( (+ b a) a) (.f64 a b))) (-.f64 #s(approx ( (+ b a) a) (.f64 a b)) (.f64 (+.f64 a b) b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a b) b #s(approx (* (+ b a) a) (*.f64 a b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (neg.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 a b) a (.f64 b b))))) (neg.f64 (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 a b) a (.f64 b b))))) (neg.f64 (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a)))) (.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a)))))) (neg.f64 (fma.f64 b (/.f64 b (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (-.f64 b a) (-.f64 b a)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (-.f64 b a) (-.f64 b a)) (-.f64 b a))))) (neg.f64 (fma.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))) (fma.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))) (.f64 (.f64 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 b a))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 a b))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (-.f64 b a))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (*.f64 b b))) (-.f64 b a))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 a a)))) (neg.f64 (*.f64 (-.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (-.f64 (neg.f64 (.f64 b b)) (.f64 (neg.f64 a) a)) (neg.f64 (-.f64 b a)))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (fma.f64 a a (*.f64 b b)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 a b) a (.f64 b b)))) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 a b) a (.f64 b b)))) (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))
(/.f64 (-.f64 (.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a)))) (.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))) (fma.f64 b (/.f64 b (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 b a)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (-.f64 b a) (-.f64 b a)) (-.f64 b a))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (-.f64 b a) (-.f64 b a)) (-.f64 b a)))) (fma.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 b (/.f64 b (-.f64 b a))) (fma.f64 (.f64 a (/.f64 a (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))) (.f64 (.f64 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 b a)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)))) (neg.f64 (.f64 (-.f64 b a) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)))) (neg.f64 (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b)))) (neg.f64 (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b)))) (neg.f64 (.f64 (-.f64 b a) (fma.f64 a a (*.f64 b b)))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) #s(literal 1 binary64)) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (-.f64 b a)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (*.f64 b b))) (-.f64 b a)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a)) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 a a))) (*.f64 (-.f64 b a) (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (-.f64 b a) (+.f64 a b))) (.f64 (-.f64 b a) (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (.f64 (-.f64 b a) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (.f64 b b)))))
(/.f64 (.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 b b) b))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (fma.f64 (.f64 (.f64 a a) a) (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (-.f64 b a))
(/.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (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 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (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 (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b)) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b)))))
(fma.f64 (/.f64 (.f64 b b) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (-.f64 b a))) (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) (/.f64 #s(literal 1 binary64) (-.f64 b a)) (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 (/.f64 #s(literal 1 binary64) (+.f64 a b))) #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)

eval60.0ms (1%)

Memory: -25.0MiB live, 136.0MiB allocated
Compiler: Compiled 11 918 to 710 computations (94% saved)

prune38.0ms (0.6%)

Memory

21.3MiB live, 102.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	314	1	315
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	315	4	319

Accuracy

100.0%

Counts

319 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 18 computations (52.6% saved)

simplify5.0ms (0.1%)

Memory

-30.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ b a) a) (*.f64 a b))
cost-diff	0	(+.f64 a b)
cost-diff	0	(*.f64 (+.f64 a b) b)
cost-diff	128	(+.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (*.f64 a b)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
0	13	37
1	18	37
2	24	37
3	32	37
4	36	37
0	36	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-1.6MiB live, 36.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a b)
accuracy	0.00390625	(*.f64 (+.f64 a b) b)
accuracy	0.0078125	(+.f64 (.f64 (+.f64 a b) b) #s(approx ( (+ b a) a) (*.f64 a b)))
accuracy	0.6519692456850439	#s(approx (* (+ b a) a) (*.f64 a b))

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 4.0ms (50% of total)

ival-add: 3.0ms (37.5% of total)

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

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

series5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

5 → 120

Calls

Call 1

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

Calls

6 calls:

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

simplify134.0ms (2.2%)

Memory

9.1MiB live, 155.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 800×	`lower-fma.f64`
9 800×	`lower-fma.f32`
3 098×	`lower-*.f64`
3 098×	`lower-*.f32`
2 036×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	558
1	267	552
2	705	552
3	2104	540
4	4755	540
5	7844	540
0	8412	510

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

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

rewrite195.0ms (3.2%)

Memory

7.7MiB live, 210.2MiB allocated

Rules

7 666×	`lower-fma.f64`
7 666×	`lower-fma.f32`
5 250×	`lower-*.f32`
5 246×	`lower-*.f64`
2 310×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	13	35
1	50	35
2	388	35
3	5354	35
0	8414	34

Stop Event

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

Counts

5 → 257

Calls

Call 1

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

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

eval43.0ms (0.7%)

Memory: 1.5MiB live, 75.6MiB allocated
Compiler: Compiled 11 617 to 901 computations (92.2% saved)

prune45.0ms (0.7%)

Memory

-2.0MiB live, 77.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	371	4	375

Accuracy

100.0%

Counts

375 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 90 to 33 computations (63.3% saved)

regimes10.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes11.0ms (0.2%)

Memory

-20.1MiB live, 17.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

regimes5.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 20 to 11 computations (45% saved)

simplify5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	14	28

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 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 b b))

soundness542.0ms (9%)

Memory

-17.5MiB live, 168.2MiB 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	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8
0	65	270
1	193	264
2	488	264
3	1576	252
4	3881	252
5	6929	252
0	8083	222

Stop Event

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

Compiler

Compiled 57 to 19 computations (66.7% saved)

preprocess75.0ms (1.2%)

Memory: 21.0MiB live, 108.6MiB allocated
Compiler: Compiled 170 to 68 computations (60% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze48.0ms (0.8%)

sample1.4s (22.5%)

explain41.0ms (0.7%)

preprocess81.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize11.0ms (0.2%)

series42.0ms (0.7%)

simplify110.0ms (1.8%)

rewrite456.0ms (7.6%)

eval343.0ms (5.7%)

prune354.0ms (5.9%)

simplify6.0ms (0.1%)

localize62.0ms (1%)

series11.0ms (0.2%)

simplify151.0ms (2.5%)

rewrite441.0ms (7.3%)

eval412.0ms (6.8%)

prune369.0ms (6.1%)

simplify5.0ms (0.1%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

simplify123.0ms (2%)

rewrite379.0ms (6.3%)

eval60.0ms (1%)

prune38.0ms (0.6%)

simplify5.0ms (0.1%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify134.0ms (2.2%)

rewrite195.0ms (3.2%)

eval43.0ms (0.7%)

prune45.0ms (0.7%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness542.0ms (9%)

preprocess75.0ms (1.2%)

end0.0ms (0%)

Profiling