Metrics for Expression 4, p15

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze60.0ms (1.2%)

Memory

-24.5MiB live, 14.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.1s (21.5%)

Memory

36.5MiB live, 1 430.1MiB allocated

Samples

684.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

ival-<=: 161.0ms (34.4% of total)

const: 156.0ms (33.3% of total)

ival-add: 59.0ms (12.6% of total)

ival-mult: 51.0ms (10.9% of total)

ival-and: 24.0ms (5.1% of total)

exact: 14.0ms (3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain41.0ms (0.8%)

Memory

16.5MiB live, 102.9MiB 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

19.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-mult: 5.0ms (59.1% of total)

ival-add: 3.0ms (35.4% of total)

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

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

preprocess79.0ms (1.6%)

Memory

0.5MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	50	35
2	210	35
3	533	35
4	1075	35
5	1970	35
6	2756	35
7	2900	35
8	2900	35
9	2900	35
10	2942	35
11	2958	35
0	4	7
0	6	7
1	13	7
2	29	7
3	57	7
4	80	7
5	96	7
6	105	7
7	111	7
0	111	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	13	12
2	29	12
3	57	12
4	80	12
5	96	12
6	105	12
7	111	12
0	111	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (2%)

Memory

-21.4MiB live, 17.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 a b)
accuracy	0.015625	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

97.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (48.5% of total)

ival-mult: 2.0ms (48.5% of total)

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

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

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify114.0ms (2.3%)

Memory

17.7MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 42

Calls

Call 1

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

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

rewrite219.0ms (4.4%)

Memory

-1.7MiB live, 231.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8

Stop Event

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

Counts

2 → 989

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval271.0ms (5.4%)

Memory: 28.6MiB live, 341.6MiB allocated
Compiler: Compiled 43 687 to 2 966 computations (93.2% saved)

prune58.0ms (1.2%)

Memory

-28.7MiB live, 56.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

100.0%

Counts

1 142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
▶	100.0%	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
▶	98.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify6.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	100
0	30	96
1	54	96
2	72	88
3	110	88
4	131	88
5	137	88
0	137	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.7%)

Memory

-3.5MiB live, 70.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
accuracy	0.00390625	(*.f64 (+.f64 b a) b)
accuracy	0	(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 (+.f64 b a) a)
accuracy	0.00390625	(fma.f64 b a (*.f64 (+.f64 b a) a))
accuracy	0	(fma.f64 #s(literal 2 binary64) a b)
accuracy	0	(*.f64 a a)
accuracy	0	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy	0	(*.f64 b b)
accuracy	1.2072745416633823	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Samples

53.0ms

256×

valid

Compiler

Compiled 181 to 35 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 29.0ms (69.6% of total)

ival-mult: 12.0ms (28.8% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.6%)

Memory

-3.3MiB live, 32.7MiB allocated

Counts

12 → 264

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

Calls

6 calls:

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

simplify160.0ms (3.2%)

Memory

16.9MiB live, 190.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1686
1	317	1620
2	840	1620
3	2405	1560
4	5102	1560
5	7585	1560
0	8066	1374

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

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

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

rewrite487.0ms (9.7%)

Memory

-9.5MiB live, 272.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	30	83
1	131	73
2	1145	73
0	8123	73

Stop Event

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

Counts

12 → 1 021

Calls

Call 1

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

Outputs
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eval571.0ms (11.4%)

Memory: 5.2MiB live, 353.7MiB allocated
Compiler: Compiled 37 122 to 2 088 computations (94.4% saved)

prune114.0ms (2.3%)

Memory

-9.6MiB live, 77.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 399	1	1 400
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 400	5	1 405

Accuracy

100.0%

Counts

1 405 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
▶	99.3%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
✓	98.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.6%)

Memory

5.9MiB live, 44.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
accuracy	0	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0	(*.f64 b a)
accuracy	1.1249847207009553	#s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 61 to 19 computations (68.9% saved)

Precisions

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

ival-mult: 6.0ms (59.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify140.0ms (2.8%)

Memory

2.8MiB live, 118.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite194.0ms (3.9%)

Memory

-35.2MiB live, 281.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 78

Calls

Call 1

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

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

eval160.0ms (3.2%)

Memory: -4.3MiB live, 35.3MiB allocated
Compiler: Compiled 3 351 to 250 computations (92.5% saved)

prune14.0ms (0.3%)

Memory

-23.5MiB live, 15.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

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

Accuracy

100.0%

Counts

179 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
✓	99.3%	(fma.f64 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	100.0%	#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
✓	98.1%	#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

Compiler

Compiled 91 to 48 computations (47.3% saved)

regimes10.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB 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 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))
(fma.f64 b b (fma.f64 b a (*.f64 (+.f64 b a) a)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB 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 b b #s(approx (+ (* b a) (* (+ b a) a)) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) b))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes95.0ms (1.9%)

Memory

-29.4MiB live, 8.8MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

89.0ms	b
2.0ms	(+.f64 a b)
2.0ms	a
2.0ms	(*.f64 (+.f64 a b) (+.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 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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
98.1%	1	`a`
98.1%	1	`b`
98.1%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
98.1%	1	`(+.f64 a b)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify21.0ms (0.4%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	19	46

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness796.0ms (15.9%)

Memory

-24.2MiB live, 253.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	28	8
2	220	8
3	2817	8
0	9151	8
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 64 to 28 computations (56.3% saved)

preprocess52.0ms (1%)

Memory: 14.6MiB live, 133.3MiB allocated
Compiler: Compiled 174 to 88 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (1.2%)

sample1.1s (21.5%)

explain41.0ms (0.8%)

preprocess79.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize101.0ms (2%)

series3.0ms (0.1%)

simplify114.0ms (2.3%)

rewrite219.0ms (4.4%)

eval271.0ms (5.4%)

prune58.0ms (1.2%)

simplify6.0ms (0.1%)

localize83.0ms (1.7%)

series30.0ms (0.6%)

simplify160.0ms (3.2%)

rewrite487.0ms (9.7%)

eval571.0ms (11.4%)

prune114.0ms (2.3%)

simplify4.0ms (0.1%)

localize31.0ms (0.6%)

series7.0ms (0.1%)

simplify140.0ms (2.8%)

rewrite194.0ms (3.9%)

eval160.0ms (3.2%)

prune14.0ms (0.3%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes95.0ms (1.9%)

regimes5.0ms (0.1%)

simplify21.0ms (0.4%)

soundness796.0ms (15.9%)

preprocess52.0ms (1%)

end0.0ms (0%)

Profiling