Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.7%)

Memory

-33.8MiB live, 50.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample973.0ms (19.4%)

Memory

19.1MiB live, 802.7MiB allocated

Samples

545.0ms	8 256×	0	valid
110.0ms	631×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-sqrt: 189.0ms (46.9% of total)

ival-mult: 157.0ms (39% of total)

ival-sub: 46.0ms (11.4% of total)

ival-true: 7.0ms (1.7% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain103.0ms (2.1%)

Memory

26.5MiB live, 66.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	2	(-6.28893410381586e-160 -1.6920317215592898e-305)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
17	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	oflow-rescue	109	0
↳	`(*.f64 b b)`	overflow	17
↳	`(-.f64 (.f64 a a) (.f64 b b))`	overflow	109
↳	`(*.f64 a a)`	overflow	109
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	uflow-rescue	18	0
↳	`(*.f64 b b)`	underflow	89
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	18
↳	`(*.f64 a a)`	underflow	18
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	17	0
↳	`(*.f64 a a)`	overflow	109
↳	`(*.f64 b b)`	overflow	17

Confusion

	Predicted +	Predicted -
+	127	2
-	0	127

Precision

1.0

Recall

0.9844961240310077

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	2
-	0	0	127

Precision?

1.0

Recall?

0.9844961240310077

Freqs

test

number	freq
0	129
1	110
2	17

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49.4% of total)

ival-sqrt: 4.0ms (28.2% of total)

ival-sub: 2.0ms (14.1% of total)

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

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

preprocess472.0ms (9.4%)

Memory

-2.0MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	54	42
2	128	42
3	331	42
4	827	42
5	1200	42
6	1876	42
7	2756	42
8	3566	42
9	4032	42
10	4138	42
11	4184	42
12	4202	42
13	6464	42
14	7171	42
15	7815	42
0	6	8
0	10	8
1	18	8
2	29	8
3	55	8
4	115	8
5	318	8
6	587	8
7	1257	8
8	2531	8
9	4197	8
10	5056	8
11	5425	8
12	5655	8
13	5769	8
14	5769	8
15	6729	8
16	6889	8
17	7209	8
18	7209	8
19	7609	8
20	7769	8
21	7849	8
22	7849	8
23	7849	8
0	10335	8

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify370.0ms (7.4%)

Memory

-26.9MiB live, 287.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(*.f64 a a)
cost-diff	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
cost-diff	128	(-.f64 (.f64 a a) (.f64 b b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	29	23
3	55	23
4	115	23
5	318	23
6	587	23
7	1257	23
8	2531	23
9	4197	23
10	5056	23
11	5425	23
12	5655	23
13	5769	23
14	5769	23
15	6729	23
16	6889	23
17	7209	23
18	7209	23
19	7609	23
20	7769	23
21	7849	23
22	7849	23
23	7849	23
0	10335	23

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

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

localize74.0ms (1.5%)

Memory

5.9MiB live, 44.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	3.3945312500000004	(-.f64 (.f64 a a) (.f64 b b))
accuracy	29.727419183608383	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Samples

69.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 59.0ms (93.8% of total)

ival-sqrt: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

series7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify425.0ms (8.5%)

Memory

-31.6MiB live, 269.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	332	757
2	1128	744
3	4541	722
0	8122	682

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

Inputs
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)

Outputs
(*.f64 a a)
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64))) b) b (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b) a)
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 (neg.f64 b) b)
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) b))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 (neg.f64 b) b)
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)))
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 b b)
(*.f64 (neg.f64 b) b)
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(fma.f64 (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
a
(fma.f64 (.f64 (/.f64 (.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a)
(fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (*.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a))
(fma.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 6 binary64))) (.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))))) a (fma.f64 (.f64 (/.f64 (*.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a))
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (-.f64 a b) (+.f64 b a))
(neg.f64 a)
(neg.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a))
(.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal 1/2 binary64) #s(literal -1 binary64))) a)
(.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal 1/2 binary64) #s(literal -1 binary64)))) a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)
(*.f64 a a)

rewrite200.0ms (4%)

Memory

24.2MiB live, 263.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9378	21

Stop Event

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

Counts

4 → 326

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 a a)
(*.f64 b b)

Outputs
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eval130.0ms (2.6%)

Memory: -22.8MiB live, 130.2MiB allocated
Compiler: Compiled 11 223 to 1 297 computations (88.4% saved)

prune11.0ms (0.2%)

Memory

1.5MiB live, 39.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	391	5	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	392	5	397

Accuracy

100.0%

Counts

397 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
▶	53.6%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	53.3%	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
▶	99.6%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
▶	1.1%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 114 to 80 computations (29.8% saved)

simplify145.0ms (2.9%)

Memory

39.3MiB live, 235.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (+.f64 b a))
cost-diff	0	(-.f64 a b)
cost-diff	0	(sqrt.f64 (-.f64 a b))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
cost-diff	0	(+.f64 b a)
cost-diff	0	(-.f64 a b)
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 a a))
cost-diff	0	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
cost-diff	0	(neg.f64 a)
cost-diff	0	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
cost-diff	0	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	37	125
1	64	125
2	102	125
3	171	125
4	290	125
5	617	125
6	1582	125
7	3325	125
8	6529	125
0	8154	125

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (1.3%)

Memory

-29.4MiB live, 134.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0.00390625	(sqrt.f64 (+.f64 b a))
accuracy	0.01171875	(sqrt.f64 (-.f64 a b))
accuracy	0.5078125	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
accuracy	0	(-.f64 a b)
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	29.727419183608383	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0	(*.f64 a a)
accuracy	0.17227297431594119	#s(approx (- (* a a) (* b b)) (*.f64 a a))
accuracy	29.727419183608383	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
accuracy	0	(neg.f64 a)
accuracy	63.27155643733278	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
accuracy	0	(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
accuracy	0	(/.f64 #s(literal -1/2 binary64) a)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
accuracy	0.2672577825999583	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Samples

40.0ms

256×

valid

Compiler

Compiled 233 to 44 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (45.3% of total)

ival-sqrt: 7.0ms (26.4% of total)

ival-div: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

ival-sub: 2.0ms (7.6% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series144.0ms (2.9%)

Memory

7.0MiB live, 89.2MiB allocated

Counts

16 → 348

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* a a) (* b b)) (*.f64 a a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 a b) (+.f64 b a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 b a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 b a)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
115.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
7.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
3.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
3.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
3.0ms	b	@	0	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))

simplify158.0ms (3.1%)

Memory

-6.3MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	5107
1	1872	4323
2	7580	4315
0	8030	4070

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 326

Calls

Call 1

Inputs
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(pow a 2)
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
a
(+ a b)
(+ a b)
(+ a b)
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* -1 (pow b 2))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (pow b 2))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* -1 b)
(- a b)
(- a b)
(- a b)
b
(+ a b)
(+ a b)
(+ a b)
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(pow a 2)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))

Outputs
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b) a)
(fma.f64 (fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) a)
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b) a)
(fma.f64 (fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) a)
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b) a)
(fma.f64 (fma.f64 (fma.f64 (.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) a)
(*.f64 a a)
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 b a) (-.f64 a b))
a
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(*.f64 a a)
(*.f64 a a)
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 b a) (-.f64 a b))
a
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
a
(+.f64 b a)
(+.f64 b a)
(+.f64 b a)
a
a
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(sqrt.f64 a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64))) b (sqrt.f64 a))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64))) b (sqrt.f64 a))
(sqrt.f64 a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) b)
(*.f64 (neg.f64 b) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(.f64 (fma.f64 (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (.f64 b b)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (.f64 b b)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) b)
(*.f64 (neg.f64 b) b)
(*.f64 (neg.f64 b) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b)
(.f64 (.f64 (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)) b) b)
(neg.f64 b)
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
b
(fma.f64 (/.f64 a b) b b)
(fma.f64 (/.f64 a b) b b)
(fma.f64 (/.f64 a b) b b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(.f64 (fma.f64 (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (.f64 b b)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (.f64 b b)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) b)
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) b)
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) b)
(sqrt.f64 b)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) b)
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) b)
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(.f64 (-.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a (.f64 b b))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b))
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(sqrt.f64 a)
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a
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rewrite178.0ms (3.5%)

Memory

5.9MiB live, 241.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	37	109
1	120	109
2	788	109
0	8375	109

Stop Event

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

Counts

16 → 817

Calls

Call 1

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

Outputs
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eval224.0ms (4.5%)

Memory: 24.1MiB live, 290.5MiB allocated
Compiler: Compiled 34 553 to 3 619 computations (89.5% saved)

prune38.0ms (0.8%)

Memory

-13.9MiB live, 74.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 400	2	1 402
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 402	5	1 407

Accuracy

100.0%

Counts

1 407 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
▶	97.4%	(*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a)))
✓	53.6%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	99.1%	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)
✓	99.6%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify8.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	17	42
1	22	42
2	27	42
3	33	42
4	42	42
5	63	42
6	93	42
7	121	42
8	174	42
9	198	42
10	218	42
11	220	42
0	220	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

2.3MiB live, 39.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 a)
accuracy	0.01171875	(sqrt.f64 (-.f64 a b))
accuracy	0.5078125	(*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a)))
accuracy	1.1477290793346966	#s(approx (sqrt (+ b a)) (sqrt.f64 a))
accuracy	0.5449464620472988	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)

Samples

19.0ms

256×

valid

Compiler

Compiled 78 to 23 computations (70.5% saved)

Precisions

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

ival-sqrt: 5.0ms (50.3% of total)

ival-sub: 2.0ms (20.1% of total)

ival-mult: 2.0ms (20.1% of total)

ival-add: 1.0ms (10.1% of total)

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

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

series10.0ms (0.2%)

Memory

-21.2MiB live, 15.0MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 a b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 a b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch #s(approx (sqrt (+ b a)) (sqrt.f64 a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 a) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify144.0ms (2.9%)

Memory

25.6MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	2386
1	1413	1950
2	5827	1697
0	9362	1604

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 125

Calls

Call 1

Inputs
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(* -1 b)
(- a b)
(- a b)
(- a b)
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))

Outputs
a
a
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a) a)
a
a
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a) a)
(sqrt.f64 a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64))) b (sqrt.f64 a))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/2 binary64))) b (sqrt.f64 a))
a
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(sqrt.f64 a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 a))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64))) b (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/2 binary64))) b (sqrt.f64 a))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b #s(literal 0 binary64))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) b)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b #s(literal 0 binary64))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) b)
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) b)
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) b)
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) b)
(neg.f64 b)
(fma.f64 (/.f64 a b) b (neg.f64 b))
(fma.f64 (/.f64 a b) b (neg.f64 b))
(fma.f64 (/.f64 a b) b (neg.f64 b))
(sqrt.f64 b)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) b)
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) b)
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))))) b)
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 a a) b)) b)) (neg.f64 b))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (neg.f64 b)) b)) (neg.f64 b))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 a a) b)) b)) (neg.f64 b))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (neg.f64 b)) b)) (neg.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 b))
(neg.f64 b)
(fma.f64 (/.f64 a b) b (neg.f64 b))
(fma.f64 (/.f64 a b) b (neg.f64 b))
(fma.f64 (/.f64 a b) b (neg.f64 b))
(sqrt.f64 b)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))) (neg.f64 b))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))) (neg.f64 b))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) a (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 b)
(-.f64 a b)
(-.f64 a b)
(-.f64 a b)
(sqrt.f64 b)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 b))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)
a
a
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
a
a
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
(sqrt.f64 a)
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
a
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(sqrt.f64 a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))) a)
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)
a
a
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b a)) a) a a)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
a
a
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b a)) a) a a)
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (neg.f64 b) b) a) #s(literal 1 binary64)) a)
(sqrt.f64 a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(.f64 (fma.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
a
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(fma.f64 (/.f64 (neg.f64 b) a) a a)
(sqrt.f64 a)
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)
(sqrt.f64 a)

rewrite230.0ms (4.6%)

Memory

-1.7MiB live, 158.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	17	38
1	49	38
2	309	38
3	4656	38
0	8483	38

Stop Event

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

Counts

6 → 249

Calls

Call 1

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

Outputs
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eval55.0ms (1.1%)

Memory: -0.8MiB live, 78.9MiB allocated
Compiler: Compiled 10 204 to 1 339 computations (86.9% saved)

prune9.0ms (0.2%)

Memory

-14.2MiB live, 24.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	374	0	374
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	374	5	379

Accuracy

100.0%

Counts

379 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	97.4%	(*.f64 (sqrt.f64 (-.f64 a b)) #s(approx (sqrt (+ b a)) (sqrt.f64 a)))
✓	53.6%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	99.1%	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)
✓	99.6%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Compiler

Compiled 145 to 76 computations (47.6% saved)

regimes19.0ms (0.4%)

Memory

-9.1MiB live, 29.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.6%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.6%	1	`(*.f64 a a)`
99.6%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes12.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total -62.7b remaining (-11510.6%)

Threshold costs -62.7b (-11510.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)

Calls

6 calls:

2.0ms	a
2.0ms	b
2.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.1%	1	`a`
99.1%	1	`b`
99.1%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.1%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.1%	1	`(*.f64 a a)`
99.1%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify22.0ms (0.4%)

Memory

5.3MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	18	28

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness674.0ms (13.4%)

Memory

-195.6MiB live, 299.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9378	21
0	119	757
1	332	757
2	1128	744
3	4541	722
0	8122	682
0	576	5107
1	1872	4323
2	7580	4315
0	8030	4070

Stop Event

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

Compiler

Compiled 54 to 36 computations (33.3% saved)

preprocess61.0ms (1.2%)

Memory: 16.8MiB live, 99.9MiB allocated
Remove: (abs b)
Compiler: Compiled 200 to 130 computations (35% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	42
0	17	42
1	22	42
2	27	42
3	33	42
4	42	42
5	63	42
6	93	42
7	121	42
8	174	42
9	198	42
10	218	42
11	220	42
0	220	42

Iter	Nodes	Cost
0	13	42
0	17	42
1	22	42
2	27	42
3	33	42
4	42	42
5	63	42
6	93	42
7	121	42
8	174	42
9	198	42
10	218	42
11	220	42
0	220	42

start0.0ms (0%)

analyze37.0ms (0.7%)

sample973.0ms (19.4%)

explain103.0ms (2.1%)

preprocess472.0ms (9.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify370.0ms (7.4%)

localize74.0ms (1.5%)

series7.0ms (0.1%)

simplify425.0ms (8.5%)

rewrite200.0ms (4%)

eval130.0ms (2.6%)

prune11.0ms (0.2%)

simplify145.0ms (2.9%)

localize63.0ms (1.3%)

series144.0ms (2.9%)

simplify158.0ms (3.1%)

rewrite178.0ms (3.5%)

eval224.0ms (4.5%)

prune38.0ms (0.8%)

simplify8.0ms (0.2%)

localize27.0ms (0.5%)

series10.0ms (0.2%)

simplify144.0ms (2.9%)

rewrite230.0ms (4.6%)

eval55.0ms (1.1%)

prune9.0ms (0.2%)

regimes19.0ms (0.4%)

regimes12.0ms (0.2%)

simplify22.0ms (0.4%)

soundness674.0ms (13.4%)

preprocess61.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	42
0	17	42
1	22	42
2	27	42
3	33	42
4	42	42
5	63	42
6	93	42
7	121	42
8	174	42
9	198	42
10	218	42
11	220	42
0	220	42