Metrics for bug366, discussion (missed optimization)

analyze30.0ms (0.3%)

Memory

23.0MiB live, 61.4MiB 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)

sample826.0ms (6.9%)

Memory

-5.8MiB live, 1 296.4MiB allocated

Samples

541.0ms	8 256×	0	valid
32.0ms	641×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 151.0ms (51.1% of total)

ival-sqrt: 71.0ms (24% of total)

ival-sub: 65.0ms (22% of total)

ival-true: 7.0ms (2.4% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess667.0ms (5.6%)

Memory

5.1MiB live, 715.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
3 968×	`associate-+r+`

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

Symmetry

(abs b)

(abs a)

explain113.0ms (0.9%)

Memory

7.2MiB live, 207.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
14	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
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	108	0
↳	`(*.f64 b b)`	overflow	14
↳	`(-.f64 (.f64 a a) (.f64 b b))`	overflow	108
↳	`(*.f64 a a)`	overflow	108
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	14	0
↳	`(*.f64 a a)`	overflow	108
↳	`(*.f64 b b)`	overflow	14
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	uflow-rescue	14	0
↳	`(*.f64 b b)`	underflow	100
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	14
↳	`(*.f64 a a)`	underflow	14

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	108
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 70 to 28 computations (60% saved)

Precisions

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

ival-mult: 8.0ms (55.7% of total)

ival-sqrt: 4.0ms (27.8% of total)

ival-sub: 2.0ms (13.9% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify673.0ms (5.6%)

Memory

-11.5MiB live, 756.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))

Rules

24 584×	`lower-fma.f64`
24 584×	`lower-fma.f32`
5 200×	`lower-+.f64`
5 200×	`lower-+.f32`
3 968×	`associate-+r+`

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

localize20.0ms (0.2%)

Memory

6.9MiB live, 45.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	95.6%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	55.8%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

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

ival-mult: 3.0ms (47.8% of total)

ival-sqrt: 2.0ms (31.9% of total)

ival-sub: 1.0ms (15.9% of total)

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

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

series5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 a a) (.f64 b b))>
#<alt (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))>
#<alt (*.f64 a a)>
#<alt (*.f64 b b)>

Outputs
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))>
#<alt (+ (* 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)))))))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))>
#<alt (* -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))))))))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ 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)))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>

Calls

18 calls:

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

simplify553.0ms (4.6%)

Memory

-6.6MiB live, 785.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 296×	`lower-fma.f64`
21 296×	`lower-fma.f32`
5 606×	`lower-*.f64`
5 606×	`lower-*.f32`
3 296×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	753
1	332	753
2	1125	740
3	4532	722
0	8248	682

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

rewrite417.0ms (3.5%)

Memory

9.9MiB live, 609.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 736×	`lower-fma.f64`
6 736×	`lower-fma.f32`
3 576×	`lower-/.f64`
3 576×	`lower-/.f32`
3 476×	`lower-*.f32`

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
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 (neg.f64 (.f64 b b)) (.f64 a a))
(+.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (neg.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))))
(+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b)))))
(+.f64 (.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (neg.f64 b)))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 a (+.f64 a b)) (.f64 (neg.f64 b) (+.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)))
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 a a (.f64 b (+.f64 a b))))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (neg.f64 (.f64 a (.f64 a (.f64 b b))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 a a (.f64 b b))) (/.f64 (/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 a a (.f64 b b))))
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(.f64 (sqrt.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (sqrt.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b)))))))))
(.f64 (sqrt.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))) (sqrt.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (pow.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (pow.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (sqrt.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (sqrt.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (sqrt.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b)))))
(.f64 (sqrt.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))))))
(.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 b (+.f64 a b)) (.f64 b (-.f64 b a)) (.f64 a (.f64 a (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b)))))))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))))) (sqrt.f64 (fma.f64 (.f64 b (+.f64 a b)) (.f64 b (-.f64 b a)) (.f64 a (.f64 a (*.f64 a a))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (sqrt.f64 (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))))) (sqrt.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1 binary64)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(*.f64 a a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 1 binary64)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(*.f64 b b)
(*.f64 (neg.f64 b) (neg.f64 b))

eval78.0ms (0.7%)

Memory: 20.7MiB live, 94.8MiB allocated
Compiler: Compiled 19 277 to 1 262 computations (93.5% saved)

prune52.0ms (0.4%)

Memory

-31.6MiB live, 125.2MiB 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 a b)))
▶	55.8%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	55.2%	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
▶	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))
▶	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 88 to 52 computations (40.9% saved)

simplify358.0ms (3%)

Memory

25.9MiB live, 542.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

13 330×	`lower-fma.f32`
13 328×	`lower-fma.f64`
3 318×	`lower--.f32`
3 316×	`lower--.f64`
2 170×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	125
0	37	125
1	64	125
2	104	125
3	171	125
4	288	125
5	615	125
6	1567	125
7	3328	125
8	6528	125
0	8151	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 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))
(fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a)
b
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(/.f64 b a)
a
#s(literal -1/2 binary64)
#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 a b)))
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 a b)
a
b
(+.f64 a b)
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
a
b
(sqrt.f64 (+.f64 a b))
(+.f64 a b)

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

localize70.0ms (0.6%)

Memory

13.5MiB live, 129.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a b))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 a b))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	accuracy	100.0%	(-.f64 a b)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (-.f64 a b) (+.f64 a b))
✓	accuracy	55.8%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.4%	#s(approx (- (* a a) (* b b)) (*.f64 a a))
✓	accuracy	55.8%	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 a a)))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
✓	accuracy	100.0%	(fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a)
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
✓	accuracy	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))

Samples

35.0ms

256×

valid

Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.2% of total)

ival-sqrt: 6.0ms (26.8% of total)

ival-div: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

ival-sub: 2.0ms (8.9% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory

-48.4MiB live, 54.9MiB allocated

Counts

16 → 360

Calls

Call 1

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

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))>
#<alt (+ (* 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)))))))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))>
#<alt (* -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))))))))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ 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)))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
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#<alt (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt b) (sqrt -1)))>
#<alt (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>

Calls

90 calls:

Time	Variable		Point	Expression
23.0ms	b	@	-inf	(* (/ b a) -1/2)
2.0ms	b	@	0	(sqrt (+ a b))
1.0ms	b	@	-inf	(/ b a)
1.0ms	a	@	-inf	(sqrt (+ a b))
1.0ms	a	@	-inf	(sqrt (- a b))

simplify325.0ms (2.7%)

Memory

28.6MiB live, 748.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 938×	`lower-fma.f64`
11 938×	`lower-fma.f32`
4 572×	`lower-*.f64`
4 572×	`lower-*.f32`
2 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	575	5151
1	1871	4359
2	7607	4351
0	8057	4106

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 338

Calls

Call 1

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

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

rewrite691.0ms (5.8%)

Memory

-13.2MiB live, 545.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 510×	`lower-fma.f32`
8 508×	`lower-fma.f64`
6 222×	`lower-*.f32`
6 214×	`lower-*.f64`
4 500×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	37	109
1	115	109
2	765	109
0	9124	109

Stop Event

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

Counts

16 → 940

Calls

Call 1

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

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

eval433.0ms (3.6%)

Memory: 12.4MiB live, 315.1MiB allocated
Compiler: Compiled 42 953 to 3 897 computations (90.9% saved)

prune336.0ms (2.8%)

Memory

-13.4MiB live, 356.9MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 623	3	1 626
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 625	6	1 631

Accuracy

100.0%

Counts

1 631 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	98.9%	#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify15.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 a b)
✓	cost-diff	0	(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
✓	cost-diff	12288	(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 a b))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
✓	cost-diff	0	#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
126×	`lower-*.f32`
122×	`lower-*.f64`
56×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	95
0	31	92
1	42	88
2	57	87
3	86	87
4	95	87
5	118	87
6	152	87
7	181	87
8	237	87
9	279	87
10	313	87
11	315	87
0	315	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 a b))
(-.f64 a b)
a
b
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(-.f64 a b)
a
b
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 (+.f64 a b))
(+.f64 a b)

Outputs
#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
a
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 a b))
(-.f64 a b)
a
b
(sqrt.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 a b))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(-.f64 a b)
a
b
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 (+.f64 a b))
(+.f64 a b)

localize64.0ms (0.5%)

Memory

-12.9MiB live, 143.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a b))
✓	accuracy	100.0%	(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
✓	accuracy	99.2%	(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 a b))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
✓	accuracy	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
✓	accuracy	98.9%	#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)

Samples

39.0ms

256×

valid

Compiler

Compiled 95 to 19 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-pow: 7.0ms (26.2% of total)

ival-div: 5.0ms (18.7% of total)

ival-sqrt: 5.0ms (18.7% of total)

ival-mult: 4.0ms (15% of total)

ival-pow2: 3.0ms (11.2% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

3.9MiB live, 42.9MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#<alt #s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 a b))>
#<alt (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))>
#<alt (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))>
#<alt (-.f64 a b)>
#<alt (sqrt.f64 (+.f64 a b))>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))>
#<alt (* -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))))>
#<alt (* -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))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (pow (sqrt -1) 2)))) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))>
#<alt (* -1 (* a (+ 1 (* -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) 4)))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) a)) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))>
#<alt (+ (* 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)))>
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#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow (- a b) 1/4)
2.0ms	b	@	-inf	(pow (- a b) 1/4)
1.0ms	b	@	inf	(pow (- a b) 1/4)
1.0ms	a	@	inf	(pow (- a b) 1/4)
1.0ms	a	@	0	(sqrt (/ 1 (- a b)))

simplify504.0ms (4.2%)

Memory

3.8MiB live, 881.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 482×	`lower-fma.f64`
15 482×	`lower-fma.f32`
8 770×	`lower-*.f64`
8 770×	`lower-*.f32`
4 494×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	5907
1	2623	4764
0	9227	4477

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 231

Calls

Call 1

Inputs
(* 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)))
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)))))))
(* -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))))
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))))))))
(* 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 (* 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)))))
(* 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)))
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)))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2)))))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (pow (sqrt -1) 2)))) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))
(* -1 (* a (+ 1 (* -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) 4)))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) a)) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))
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))))))))
(* 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 (* 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)))))
(* (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 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)))))))
(* -1 (sqrt a))
(* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(* -1 (* 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) (* -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 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 (* (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)))))))
(* (sqrt (/ 1 b)) (sqrt -1))
(+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3)))) (sqrt -1)) (sqrt b))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* a (+ (* -1/2 (* (sqrt b) (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (* b (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) (sqrt -1)) (sqrt b))))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* -1 (pow b 3)) (* 1/4 (* a (pow b 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt a) (* (pow b 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* a (pow b 2))) (pow b 3)))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (* b (+ (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)) (* 1/2 (sqrt (/ 1 (pow a 3)))))))
(+ (sqrt (/ 1 a)) (* b (+ (* 1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* 5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))
(* (sqrt (/ 1 b)) (sqrt -1))
(+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (/ (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (/ (+ (* 1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3)) (sqrt -1)))) (+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (/ (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* (sqrt (/ 1 b)) (sqrt -1))
(+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 b)) (* (sqrt -1) (+ (* -1/4 (* (pow a 2) b)) (pow a 3))))) (* 1/2 (* (* (pow a 2) (sqrt -1)) (sqrt b)))) (pow b 3))) (+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(/ -1 b)
(- (* -1 (/ a (pow b 2))) (/ 1 b))
(- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))
(- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))) a)
(/ 1 a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1) a))
(/ 1 a)
(+ (/ 1 a) (/ b (pow a 2)))
(+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))
(+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ -1 b)
(/ (- (* -1 (/ a b)) 1) b)
(/ (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))) b)
(/ (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (/ a b)) b))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b))) b))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b))) b))
(* (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 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)))))))
(* -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 (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(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 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 (* (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)))))))
(* 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)))
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)))))))
(* -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))))
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))))))))
(* 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 (* 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)))))
(pow (* -1 b) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow b 7)) 1/4) a)))) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* a (+ (* -3/32 (pow (/ -1 (pow b 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow b 11)) 1/4) a)))))) (pow (* -1 b) 1/4))
(pow (* 1 a) 1/4)
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (* 1 a) 1/4)))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 11)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (* 1 a) 1/4))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3))))) a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(pow (* 1 a) 1/4)
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow a 7)) 1/4) b)))) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* b (+ (* -3/32 (pow (/ 1 (pow a 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow a 11)) 1/4) b)))))) (pow (* 1 a) 1/4))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))) (pow b 3)))))
(pow (* -1 b) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3)))))) (* (pow (* -1 b) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) b)) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ 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)
(* 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 (* (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)))))))
(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)))))))
(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 (* (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)))))))

Outputs
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(+ (* 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)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 a (.f64 (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b))) a))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(+ (* 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)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b)))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b)))) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b (.f64 b (neg.f64 b)))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(fma.f64 a (/.f64 #s(literal 0 binary64) a) 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))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) a)
(* 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)))))))
(fma.f64 a (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (.f64 a (.f64 a a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) a)
(* -1 (* a (pow (sqrt -1) 2)))
a
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal 0 binary64) a) (neg.f64 a) a)
(* -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))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) a) #s(literal 0 binary64)) (neg.f64 a)) (neg.f64 a) a)
(* -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))))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b b #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) a)) (neg.f64 a)) (neg.f64 a)) (neg.f64 a) a)
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 0 binary64) 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))))))))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1/2 binary64)) a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal 0 binary64) a))) a)
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* 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)))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(* 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))))))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b (*.f64 b (neg.f64 b))))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* b (sqrt -1)))
(neg.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(.f64 (neg.f64 b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* -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)))))
(neg.f64 (.f64 b (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) 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)))))
(neg.f64 (.f64 b (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64)))))) b)) b))))
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))))
(+ (* 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)))
(fma.f64 b (sqrt.f64 #s(literal -1 binary64)) (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 a (.f64 (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b))) a))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(+ (* 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)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b)))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b)))) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b (.f64 b (neg.f64 b)))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(fma.f64 a (/.f64 #s(literal 0 binary64) a) 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))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) a)
(* 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)))))))
(fma.f64 a (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (.f64 a (.f64 a a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b (neg.f64 b) #s(literal 0 binary64)) (*.f64 a a)) (/.f64 #s(literal 0 binary64) a))) a)
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (* -1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2)))))))
(neg.f64 (fma.f64 a (/.f64 #s(literal 0 binary64) a) a))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (pow (sqrt -1) 2)))) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))
(neg.f64 (fma.f64 a (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) a) #s(literal 0 binary64)) (neg.f64 a)) a))
(* -1 (* a (+ 1 (* -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) 4)))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) a)) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))
(neg.f64 (fma.f64 a (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 a)) (neg.f64 a)) a))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1/2 binary64)) a) (/.f64 #s(literal 0 binary64) 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))))))))
(fma.f64 b (fma.f64 b (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1/2 binary64)) a) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal 0 binary64) a))) a)
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* 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)))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))
(* 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))))))))
(.f64 b (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b (*.f64 b (neg.f64 b))))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* b (sqrt -1)))
(neg.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(.f64 (neg.f64 b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* -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)))))
(neg.f64 (.f64 b (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) 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)))))
(neg.f64 (.f64 b (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64)))))) b)) b))))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(+ (* 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)))
(fma.f64 a (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(+ (* 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)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(.f64 a (fma.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 b #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 b (.f64 b b)) #s(literal -1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)))))))
(* -1 (sqrt a))
(neg.f64 (sqrt.f64 a))
(* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 a))
(* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -1 (* 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)))))))
(.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 b (.f64 b b)) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)))))) (neg.f64 a))
(sqrt a)
(sqrt.f64 a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/2 binary64) b) (sqrt.f64 a))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 b #s(literal -1/8 binary64)))) (sqrt.f64 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)))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b #s(literal -1/16 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 a))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(* 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)))))
(.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 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))))))
(.f64 b (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt b) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(neg.f64 (.f64 b (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64))))))
(* -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))))))
(.f64 (neg.f64 b) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (*.f64 a a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))))))))
(* -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)))))))
(neg.f64 (.f64 b (fma.f64 (.f64 a a) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 a (.f64 a a))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) #s(literal 1/16 binary64))))))))
(* (sqrt (/ 1 b)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))
(+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3)))) (sqrt -1)) (sqrt b))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(fma.f64 a (.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (.f64 (sqrt.f64 b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/4 binary64) (.f64 b (.f64 b (neg.f64 b)))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* a (+ (* -1/2 (* (sqrt b) (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (* b (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) (sqrt -1)) (sqrt b))))))) (* (sqrt (/ 1 b)) (sqrt -1)))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 b) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/4 binary64) (.f64 b (.f64 b (neg.f64 b))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/4 binary64) (.f64 b (.f64 b (neg.f64 b))))) b) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) a) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
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(* -1 (* (sqrt b) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
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(* -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))))))
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(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
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a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(fma.f64 a (/.f64 #s(literal 0 binary64) a) 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))))))
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(* 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)))))))
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(* -1 (* a (pow (sqrt -1) 2)))
a
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal 0 binary64) a) (neg.f64 a) a)
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(* -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))))
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a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
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(+ 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))))))))
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(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* 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)))))))
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(* 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))))))))
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(* -1 (* b (sqrt -1)))
(neg.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(.f64 (neg.f64 b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))))
(* -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)))))
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(* -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)))))
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(pow (* -1 b) 1/4)
(pow.f64 (neg.f64 b) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) a) (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow b 7)) 1/4) a)))) (pow (* -1 b) 1/4))
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(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* a (+ (* -3/32 (pow (/ -1 (pow b 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow b 11)) 1/4) a)))))) (pow (* -1 b) 1/4))
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(pow (* 1 a) 1/4)
(pow.f64 a #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) b) (pow.f64 a #s(literal 1/4 binary64)))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (* 1 a) 1/4)))
(fma.f64 (.f64 b b) (.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) b) (pow.f64 a #s(literal 1/4 binary64))))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 11)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (* 1 a) 1/4))))
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(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))) a)))
(fma.f64 (.f64 #s(literal -1/4 binary64) b) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))) a) (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))) (/.f64 (fma.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))) (neg.f64 (/.f64 (.f64 (.f64 b b) #s(literal -3/32 binary64)) a)) (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))) (*.f64 b #s(literal 1/4 binary64)))) a))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3))))) a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
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(pow (* 1 a) 1/4)
(pow.f64 a #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) b) (pow.f64 a #s(literal 1/4 binary64)))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow a 7)) 1/4) b)))) (pow (* 1 a) 1/4))
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(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* b (+ (* -3/32 (pow (/ 1 (pow a 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow a 11)) 1/4) b)))))) (pow (* 1 a) 1/4))
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(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)))
(fma.f64 (.f64 #s(literal -1/4 binary64) a) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) b) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2))))
(fma.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) (/.f64 (.f64 (.f64 a a) #s(literal -3/32 binary64)) (.f64 b b)) (fma.f64 (.f64 #s(literal -1/4 binary64) a) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) b) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))) (pow b 3)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) a) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) b) (fma.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))) (+.f64 (/.f64 (.f64 (.f64 a a) #s(literal -3/32 binary64)) (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -7/128 binary64)) (.f64 b (.f64 b b)))) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))))))
(pow (* -1 b) 1/4)
(pow.f64 (neg.f64 b) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) a) (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(-.f64 (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))) #s(literal 1/4 binary64)) (neg.f64 (.f64 (.f64 a a) #s(literal -3/32 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 a (pow.f64 (neg.f64 b) #s(literal 1/4 binary64))))) b))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3)))))) (* (pow (* -1 b) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) b)) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(-.f64 (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a a) (.f64 #s(literal -3/32 binary64) (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))) #s(literal 1/4 binary64)) (.f64 (.f64 a (*.f64 a a)) #s(literal 7/128 binary64)))) b)) b))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
(- a b)
(-.f64 a b)
a
(* a (+ 1 (* -1 (/ b a))))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ b a))))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ b a))))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
a
(* -1 (* a (- (/ b a) 1)))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
(* -1 (* a (- (/ b a) 1)))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
(* -1 (* a (- (/ b a) 1)))
(fma.f64 a (/.f64 b (neg.f64 a)) a)
a
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(+ a (* -1 b))
(-.f64 a b)
(* -1 b)
(neg.f64 b)
(* b (- (/ a b) 1))
(fma.f64 b (/.f64 a b) (neg.f64 b))
(* b (- (/ a b) 1))
(fma.f64 b (/.f64 a b) (neg.f64 b))
(* b (- (/ a b) 1))
(fma.f64 b (/.f64 a b) (neg.f64 b))
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(neg.f64 (fma.f64 b (/.f64 a (neg.f64 b)) b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(neg.f64 (fma.f64 b (/.f64 a (neg.f64 b)) b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(neg.f64 (fma.f64 b (/.f64 a (neg.f64 b)) b))
(sqrt b)
(sqrt.f64 b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(fma.f64 a (fma.f64 a (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (sqrt.f64 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))))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 a #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (sqrt.f64 b))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 b (.f64 b b)) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (.f64 b b) #s(literal -1/8 binary64)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 a (fma.f64 b (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -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))))))
(.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (/.f64 (*.f64 b b) #s(literal -1 binary64)) #s(literal -1/8 binary64))))) (neg.f64 a))
(* -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)))))))
(neg.f64 (.f64 a (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (.f64 b (.f64 b b)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 b b) #s(literal -1 binary64)) #s(literal -1/8 binary64))))))))
(sqrt a)
(sqrt.f64 a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/2 binary64) b) (sqrt.f64 a))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 b #s(literal -1/8 binary64)))) (sqrt.f64 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)))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (sqrt.f64 a))
(sqrt b)
(sqrt.f64 b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 a #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 a #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (.f64 a a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(* 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)))))))))
(.f64 b (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 a #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (.f64 a a) #s(literal -1/8 binary64)))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 b)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(* -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))))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a a) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))))))
(* -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)))))))
(neg.f64 (.f64 b (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))))))))

rewrite271.0ms (2.3%)

Memory

-13.5MiB live, 514.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`lower-*.f32`
4 022×	`lower-*.f64`
3 526×	`lower-/.f32`
3 522×	`lower-/.f64`
2 178×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	31	65
1	94	56
2	485	56
3	7589	56
0	8460	56

Stop Event

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

Counts

10 → 827

Calls

Call 1

Inputs
#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (-.f64 a b))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(-.f64 a b)
(sqrt.f64 (+.f64 a b))

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

eval180.0ms (1.5%)

Memory: 31.0MiB live, 376.8MiB allocated
Compiler: Compiled 36 288 to 4 004 computations (89% saved)

prune149.0ms (1.2%)

Memory

-17.4MiB live, 382.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 345	1	1 346
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 347	5	1 352

Accuracy

100.0%

Counts

1 352 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	98.9%	#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify12.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
✓	cost-diff	(+.f64 a b)
✓	cost-diff	(sqrt.f64 (+.f64 a b))
✓	cost-diff	(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	20	35
2	24	35
3	30	35
4	39	35
5	62	35
6	96	35
7	127	35
8	184	35
9	226	35
10	258	35
11	260	35
0	260	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.2%)

Memory

-34.5MiB live, 43.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 a b))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))

Samples

18.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (31.7% of total)

ival-sqrt: 3.0ms (31.7% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))>
#<alt (sqrt.f64 (+.f64 a b))>
#<alt (+.f64 a b)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 a b))>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (pow (sqrt -1) 2)))) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))>
#<alt (* -1 (* a (+ 1 (* -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) 4)))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) a)) (* 1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a)))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* (sqrt (/ 1 b)) (sqrt -1))>
#<alt (+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))>
#<alt (+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3)))) (sqrt -1)) (sqrt b))))) (* (sqrt (/ 1 b)) (sqrt -1)))>
#<alt (+ (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b 3))) (/ 1 (sqrt -1)))) (* a (+ (* -1/2 (* (sqrt b) (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (sqrt -1)))) (* -1/2 (* (/ (* a (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 3) (pow (sqrt -1) 2)))) (/ 1 (pow b 3))) (* b (pow (sqrt -1) 2)))) (/ 1 (pow b 4)))) (sqrt -1)) (sqrt b))))))) (* (sqrt (/ 1 b)) (sqrt -1)))>
#<alt (sqrt (/ 1 a))>
#<alt (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))>
#<alt (+ (sqrt (/ 1 a)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))>
#<alt (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* -1 (pow b 3)) (* 1/4 (* a (pow b 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt a) (* (pow b 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 a)) (* (pow (sqrt -1) 2) (+ (* -1/4 (* a (pow b 2))) (pow b 3)))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))>
#<alt (sqrt (/ 1 a))>
#<alt (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))>
#<alt (+ (sqrt (/ 1 a)) (* b (+ (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)) (* 1/2 (sqrt (/ 1 (pow a 3)))))))>
#<alt (+ (sqrt (/ 1 a)) (* b (+ (* 1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* 5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))>
#<alt (* (sqrt (/ 1 b)) (sqrt -1))>
#<alt (+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (/ (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (/ (+ (* 1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3)) (sqrt -1)))) (+ (* -1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (/ (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 b)) (sqrt -1))>
#<alt (+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 b)) (* (sqrt -1) (+ (* -1/4 (* (pow a 2) b)) (pow a 3))))) (* 1/2 (* (* (pow a 2) (sqrt -1)) (sqrt b)))) (pow b 3))) (+ (* -1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (/ -1 b)>
#<alt (- (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ b a)) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1 (/ b a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1) a))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ b (pow a 2)))>
#<alt (+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))>
#<alt (+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1 (/ a b)) 1) b)>
#<alt (/ (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))) b)>
#<alt (/ (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))) b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (/ a b)) b))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b))) b))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b))) b))>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/ (sqrt (+ a b)) (sqrt (/ 1 (- a b))))
0.0ms	a	@	-inf	(/ (sqrt (+ a b)) (sqrt (/ 1 (- a b))))
0.0ms	a	@	inf	(sqrt (/ 1 (- a b)))
0.0ms	b	@	inf	(/ (sqrt (+ a b)) (sqrt (/ 1 (- a b))))
0.0ms	a	@	inf	(/ (sqrt (+ a b)) (sqrt (/ 1 (- a b))))

simplify348.0ms (2.9%)

Memory

-9.6MiB live, 244.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 546×	`lower-fma.f64`
6 546×	`lower-fma.f32`
4 310×	`lower-*.f64`
4 310×	`lower-*.f32`
1 922×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	2307
1	1722	1940
2	6640	1795
0	8500	1678

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 112

Calls

Call 1

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

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

rewrite220.0ms (1.8%)

Memory

1.1MiB live, 116.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 566×	`lower-*.f64`
2 566×	`lower-*.f32`
2 346×	`lower-/.f32`
2 342×	`lower-/.f64`
1 626×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	28
1	60	25
2	366	25
0	4777	25

Stop Event

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

Counts

5 → 409

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1/2 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (-.f64 a b))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))) (sqrt.f64 (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a b))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (sqrt.f64 (/.f64 (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))) (-.f64 b a))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (fma.f64 b (+.f64 a b) (.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (.f64 (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))) (sqrt.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b))) (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a)))) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a)))) (sqrt.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 (fma.f64 b (+.f64 a b) (.f64 a a))) (sqrt.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (sqrt.f64 (fma.f64 b (+.f64 a b) (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (-.f64 a b)))
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 b a))) (neg.f64 (fma.f64 b (+.f64 a b) (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (+.f64 a b)))
(.f64 (/.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (fma.f64 a (.f64 (.f64 a a) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))))
(.f64 (/.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (-.f64 a b) (fma.f64 b (+.f64 a b) (.f64 a a))))) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))))

eval73.0ms (0.6%)

Memory: 26.1MiB live, 65.0MiB allocated
Compiler: Compiled 13 324 to 1 743 computations (86.9% saved)

prune116.0ms (1%)

Memory

10.2MiB live, 86.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	521	0	521
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	521	5	526

Accuracy

100.0%

Counts

526 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
✓	55.8%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	98.9%	#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) a)
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))

Compiler

Compiled 131 to 60 computations (54.2% saved)

regimes89.0ms (0.7%)

Memory

-0.1MiB live, 39.1MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (- a b)) (sqrt (+ a b))) 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 a b)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 b (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) a))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 a b)))

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

Calls

6 calls:

72.0ms	(*.f64 b b)
3.0ms	a
3.0ms	b
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

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

Compiler

Compiled 35 to 21 computations (40% saved)

regimes15.0ms (0.1%)

Memory

-15.3MiB live, 28.4MiB allocated

Accuracy

Total -62.6b remaining (-9114.5%)

Threshold costs -62.6b (-9114.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(*.f64 b b)
2.0ms	a
2.0ms	b
2.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 35 to 21 computations (40% saved)

simplify6.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

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

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

soundness4.1s (34.4%)

Memory

9.6MiB live, 345.6MiB allocated

Rules

21 296×	`lower-fma.f64`
21 296×	`lower-fma.f32`
11 938×	`lower-fma.f64`
11 938×	`lower-fma.f32`
6 736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	575	5151
1	1871	4359
2	7607	4351
0	8057	4106
0	119	753
1	332	753
2	1125	740
3	4532	722
0	8248	682
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9378	21

Stop Event

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

preprocess31.0ms (0.3%)

Memory: -0.7MiB live, 77.3MiB allocated
Remove: (abs b)
Compiler: Compiled 142 to 78 computations (45.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	95
0	31	92
1	42	88
2	57	87
3	86	87
4	95	87
5	118	87
6	152	87
7	181	87
8	237	87
9	279	87
10	313	87
11	315	87
0	315	87

Iter	Nodes	Cost
0	9	35
0	15	35
1	20	35
2	24	35
3	30	35
4	39	35
5	62	35
6	96	35
7	127	35
8	184	35
9	226	35
10	258	35
11	260	35
0	260	35

Iter	Nodes	Cost
0	21	95
0	31	92
1	42	88
2	57	87
3	86	87
4	95	87
5	118	87
6	152	87
7	181	87
8	237	87
9	279	87
10	313	87
11	315	87
0	315	87

Iter	Nodes	Cost
0	9	35
0	15	35
1	20	35
2	24	35
3	30	35
4	39	35
5	62	35
6	96	35
7	127	35
8	184	35
9	226	35
10	258	35
11	260	35
0	260	35

analyze30.0ms (0.3%)

sample826.0ms (6.9%)

preprocess667.0ms (5.6%)

explain113.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify673.0ms (5.6%)

localize20.0ms (0.2%)

series5.0ms (0%)

simplify553.0ms (4.6%)

rewrite417.0ms (3.5%)

eval78.0ms (0.7%)

prune52.0ms (0.4%)

simplify358.0ms (3%)

localize70.0ms (0.6%)

series64.0ms (0.5%)

simplify325.0ms (2.7%)

rewrite691.0ms (5.8%)

eval433.0ms (3.6%)

prune336.0ms (2.8%)

simplify15.0ms (0.1%)

localize64.0ms (0.5%)

series19.0ms (0.2%)

simplify504.0ms (4.2%)

rewrite271.0ms (2.3%)

eval180.0ms (1.5%)

prune149.0ms (1.2%)

simplify12.0ms (0.1%)

localize29.0ms (0.2%)

series3.0ms (0%)

simplify348.0ms (2.9%)

rewrite220.0ms (1.8%)

eval73.0ms (0.6%)

prune116.0ms (1%)

regimes89.0ms (0.7%)

regimes15.0ms (0.1%)

simplify6.0ms (0%)

soundness4.1s (34.4%)

preprocess31.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	95
0	31	92
1	42	88
2	57	87
3	86	87
4	95	87
5	118	87
6	152	87
7	181	87
8	237	87
9	279	87
10	313	87
11	315	87
0	315	87

Iter	Nodes	Cost
0	9	35
0	15	35
1	20	35
2	24	35
3	30	35
4	39	35
5	62	35
6	96	35
7	127	35
8	184	35
9	226	35
10	258	35
11	260	35
0	260	35