Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze91.0ms (1.5%)

Memory

-26.2MiB live, 23.9MiB 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)

sample724.0ms (12.3%)

Memory

43.7MiB live, 861.9MiB allocated

Samples

455.0ms	8 256×	0	valid
37.0ms	678×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-mult: 143.0ms (54.6% of total)

ival-sqrt: 71.0ms (27.1% of total)

ival-sub: 38.0ms (14.5% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain84.0ms (1.4%)

Memory

5.0MiB live, 82.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	1	(5.402054329792568e-158 -5.441184688428547e-228)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
15	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	oflow-rescue	105	0
↳	`(*.f64 b b)`	overflow	15
↳	`(-.f64 (.f64 a a) (.f64 b b))`	overflow	105
↳	`(*.f64 a a)`	overflow	105
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	15	0
↳	`(*.f64 a a)`	overflow	105
↳	`(*.f64 b b)`	overflow	15
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	uflow-rescue	12	0
↳	`(*.f64 b b)`	underflow	100
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	12
↳	`(*.f64 a a)`	underflow	12

Confusion

	Predicted +	Predicted -
+	117	1
-	0	138

Precision

1.0

Recall

0.9915254237288136

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	1
-	0	0	138

Precision?

1.0

Recall?

0.9915254237288136

Freqs

test

number	freq
0	139
1	102
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

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

ival-mult: 7.0ms (51.8% of total)

ival-sqrt: 4.0ms (29.6% of total)

ival-sub: 2.0ms (14.8% of total)

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

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

preprocess440.0ms (7.4%)

Memory

-9.3MiB live, 261.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	54	42
2	128	42
3	330	42
4	937	42
5	1395	42
6	2075	42
7	2951	42
8	3779	42
9	4245	42
10	4349	42
11	4395	42
12	4413	42
13	6675	42
14	7376	42
0	6	8
0	10	8
1	18	8
2	29	8
3	55	8
4	115	8
5	319	8
6	591	8
7	1294	8
8	2595	8
9	4278	8
10	5106	8
11	5475	8
12	5705	8
13	5819	8
14	5819	8
15	6779	8
16	6939	8
17	7259	8
18	7259	8
19	7659	8
20	7819	8
21	7899	8
22	7899	8
23	7899	8
0	10497	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 b a)))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify442.0ms (7.5%)

Memory

-20.6MiB live, 271.0MiB 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	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	29	23
3	55	23
4	115	23
5	319	23
6	591	23
7	1294	23
8	2595	23
9	4278	23
10	5106	23
11	5475	23
12	5705	23
13	5819	23
14	5819	23
15	6779	23
16	6939	23
17	7259	23
18	7259	23
19	7659	23
20	7819	23
21	7899	23
22	7899	23
23	7899	23
0	10497	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 b a)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize17.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 a a)
accuracy	2.9921875	(-.f64 (.f64 a a) (.f64 b b))
accuracy	27.233410736809827	(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 (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

4 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify247.0ms (4.2%)

Memory

-9.2MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	537
1	332	537
2	1153	524
3	4633	506
0	8289	471

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

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

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

rewrite355.0ms (6%)

Memory

-1.4MiB live, 153.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9388	21

Stop Event

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

Counts

4 → 326

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 b b (.f64 a a))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 b b (.f64 a a))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 b a) #s(literal -1 binary64)) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64)) (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(.f64 (hypot.f64 b a) (sqrt.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))
(.f64 (hypot.f64 b a) (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))))
(.f64 (hypot.f64 b a) (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 b a) (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (hypot.f64 b a) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (hypot.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (hypot.f64 b a))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a))) (sqrt.f64 (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 a b))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (hypot.f64 (.f64 b b) (.f64 a a)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (-.f64 a b) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (-.f64 a b) (+.f64 b a)))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 b) b) (.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 b) b) (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64))))) (/.f64 (pow.f64 b #s(literal 18 binary64)) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b b (.f64 a a)))) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 b b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))) (fma.f64 b b (.f64 a a))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 b #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 a (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a)))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(*.f64 a a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval42.0ms (0.7%)

Memory: 29.2MiB live, 64.5MiB allocated
Compiler: Compiled 10 580 to 1 299 computations (87.7% saved)

prune35.0ms (0.6%)

Memory

-10.8MiB live, 24.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	346	5	351
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	5	352

Accuracy

100.0%

Counts

352 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
▶	57.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	1.4%	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
▶	99.0%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
▶	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify238.0ms (4%)

Memory

-14.7MiB live, 154.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	39	130
1	67	130
2	105	130
3	191	130
4	334	130
5	638	130
6	1633	130
7	3418	130
8	6477	130
0	8113	130

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.5%)

Memory

2.8MiB live, 95.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) a)
accuracy	0.23828125	(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
accuracy	0.6521527192078524	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
accuracy	0.0	(-.f64 a b)
accuracy	0.0	(+.f64 b a)
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	27.233410736809827	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.0	(*.f64 (neg.f64 b) b)
accuracy	0.0	(neg.f64 b)
accuracy	27.233410736809827	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
accuracy	59.54740825681697	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0.0	(neg.f64 a)
accuracy	63.20808155053298	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
accuracy	0.0	(+.f64 b a)
accuracy	0.0078125	(sqrt.f64 (+.f64 b a))
accuracy	0.01171875	(sqrt.f64 (-.f64 a b))
accuracy	0.43359375	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))

Samples

76.0ms

256×

valid

Compiler

Compiled 111 to 23 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sub: 24.0ms (50.8% of total)

ival-mult: 10.0ms (21.2% of total)

ival-sqrt: 6.0ms (12.7% of total)

ival-div: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

ival-neg: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

0.3MiB live, 38.7MiB allocated

Counts

17 → 119

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (- a b) (sqrt (+ b a)) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (+ b a) (sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a))
5.0ms	a	@	inf	((* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (- a b) (sqrt (+ b a)) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (+ b a) (sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a))
4.0ms	a	@	-inf	((* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (- a b) (sqrt (+ b a)) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (+ b a) (sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a))
4.0ms	b	@	inf	((* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (- a b) (sqrt (+ b a)) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (+ b a) (sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a))
4.0ms	a	@	0	((* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (- a b) (sqrt (+ b a)) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (+ b a) (sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a))

simplify156.0ms (2.6%)

Memory

4.7MiB live, 154.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	2669
1	1872	2171
2	7714	2168
0	8074	2035

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

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

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

rewrite278.0ms (4.7%)

Memory

2.2MiB live, 316.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	39	114
1	123	114
2	787	114
0	8487	114

Stop Event

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

Counts

17 → 835

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (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 b a) #s(literal 1/4 binary64))) (pow.f64 (+.f64 b a) #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)) (sqrt.f64 (+.f64 b a))))
(.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))))
(.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 b a)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/2 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (fma.f64 (+.f64 b a) a (.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 b a) a (.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b)))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (hypot.f64 b a)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a))) (sqrt.f64 (fma.f64 (+.f64 b a) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (+.f64 b a) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (-.f64 a b))) (sqrt.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (-.f64 a b) (-.f64 b a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3/2 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (*.f64 (-.f64 a b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 b a) (fma.f64 (+.f64 b a) a (.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (.f64 (+.f64 b a) (-.f64 a b)))) (sqrt.f64 (.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (+.f64 b a) (-.f64 a b)))) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (neg.f64 a) a (.f64 b b)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 (+.f64 b a) a (.f64 b b)) (fma.f64 (-.f64 a b) a (.f64 b b)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (fma.f64 (neg.f64 a) a (.f64 b b)))) (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 b a) (-.f64 a b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 b a) (fma.f64 (-.f64 a b) a (.f64 b b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (hypot.f64 b a))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (fma.f64 (+.f64 b a) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 b a) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 a b)))))
(sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))
(exp.f64 (fma.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 a b) (fma.f64 (-.f64 a b) a (.f64 b b))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 b a)))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a) a)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))))))
(fma.f64 (.f64 (.f64 b b) (pow.f64 a #s(literal -1 binary64))) #s(literal -1/2 binary64) a)
(fma.f64 (.f64 (.f64 b 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 (/.f64 #s(literal -1/2 binary64) a) b) b))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) b) b) (/.f64 #s(literal -1 binary64) a) a)
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) b) (pow.f64 a #s(literal -1 binary64)) a)
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (*.f64 b b) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 b a) a)
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 b b) #s(literal -2 binary64)) a)
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) b) b) a)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) a)
(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))
(fma.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b b) a) a)) (neg.f64 (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a) a))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (.f64 b b)) a)
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b b) a)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) a)
(fma.f64 (neg.f64 a) #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))
(fma.f64 (*.f64 b b) (/.f64 #s(literal -1/2 binary64) a) a)
(fma.f64 b (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) a)
(fma.f64 a #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a) a)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (neg.f64 (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a) a))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) a)
(+.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 b a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1 binary64) a))
(.f64 (.f64 #s(literal -1/2 binary64) b) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal -2 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) b))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
(pow.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) b)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) b)) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 a))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/2 binary64) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -2 binary64)) b))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (neg.f64 b) (*.f64 a #s(literal 2 binary64)))
(/.f64 b (*.f64 a #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 a)))
(neg.f64 (*.f64 b (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) b))
(.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 a))
(/.f64 #s(literal -1/2 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) a))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) a))
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))

eval176.0ms (3%)

Memory: 8.8MiB live, 281.7MiB allocated
Compiler: Compiled 28 549 to 3 668 computations (87.2% saved)

prune34.0ms (0.6%)

Memory

17.0MiB live, 53.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 111	3	1 114
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 113	6	1 119

Accuracy

100.0%

Counts

1 119 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
▶	99.3%	(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	57.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	98.1%	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)
✓	99.0%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Compiler

Compiled 76 to 51 computations (32.9% saved)

simplify94.0ms (1.6%)

Memory

-10.8MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
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	2	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
cost-diff	0	(+.f64 b a)
cost-diff	0	(sqrt.f64 (+.f64 b a))
cost-diff	0	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
cost-diff	6	(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
cost-diff	0	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	31	115
1	46	113
2	59	107
3	96	107
4	173	107
5	311	107
6	488	107
7	932	107
8	1576	107
9	1871	107
10	2230	107
11	2413	107
12	2480	107
13	2519	107
14	2538	107
15	2552	107
0	2552	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.9%)

Memory

-13.0MiB live, 70.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (-.f64 a b))
accuracy	0.19140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))
accuracy	0.30859375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
accuracy	0.43359375	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
accuracy	0.0234375	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0.0234375	(sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.06316376953688403	(/.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.43359375	(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
accuracy	1.1971460012742614	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)

Samples

41.0ms

256×

valid

Compiler

Compiled 115 to 18 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 10.0ms (40.2% of total)

ival-sqrt: 7.0ms (28.1% of total)

ival-mult: 5.0ms (20.1% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

11 → 156

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((* (sqrt (- a b)) (sqrt (+ b a))) (* (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a))) (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a)) (+ b a) (* (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (+ b a))) (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (/ 1 (- a b))) (/ 1 (- a b)) (/ (- a b) (+ b a)) (sqrt (/ (- a b) (+ b a))))
3.0ms	b	@	-inf	((* (sqrt (- a b)) (sqrt (+ b a))) (* (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a))) (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a)) (+ b a) (* (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (+ b a))) (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (/ 1 (- a b))) (/ 1 (- a b)) (/ (- a b) (+ b a)) (sqrt (/ (- a b) (+ b a))))
2.0ms	b	@	inf	((* (sqrt (- a b)) (sqrt (+ b a))) (* (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a))) (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a)) (+ b a) (* (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (+ b a))) (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (/ 1 (- a b))) (/ 1 (- a b)) (/ (- a b) (+ b a)) (sqrt (/ (- a b) (+ b a))))
2.0ms	a	@	0	((* (sqrt (- a b)) (sqrt (+ b a))) (* (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a))) (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a)) (+ b a) (* (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (+ b a))) (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (/ 1 (- a b))) (/ 1 (- a b)) (/ (- a b) (+ b a)) (sqrt (/ (- a b) (+ b a))))
2.0ms	a	@	inf	((* (sqrt (- a b)) (sqrt (+ b a))) (* (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a))) (* (sqrt (+ b a)) (sqrt (/ (- a b) (+ b a)))) (sqrt (+ b a)) (+ b a) (* (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (+ b a))) (/ 1 (sqrt (/ 1 (- a b)))) (sqrt (/ 1 (- a b))) (/ 1 (- a b)) (/ (- a b) (+ b a)) (sqrt (/ (- a b) (+ b a))))

simplify233.0ms (3.9%)

Memory

-7.3MiB live, 235.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	880	4250
1	2876	3530
0	9099	3299

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

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

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

rewrite250.0ms (4.2%)

Memory

-32.9MiB live, 213.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	31	101
1	99	66
2	610	66
3	7930	66
0	9211	66

Stop Event

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

Counts

11 → 1 007

Calls

Call 1

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

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

eval245.0ms (4.2%)

Memory: 17.7MiB live, 333.1MiB allocated
Compiler: Compiled 44 147 to 5 368 computations (87.8% saved)

prune22.0ms (0.4%)

Memory

14.4MiB live, 91.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 507	1	1 508
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 508	6	1 514

Accuracy

100.0%

Counts

1 514 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
▶	100.0%	(*.f64 (+.f64 b a) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	57.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	98.1%	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)
✓	99.0%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Compiler

Compiled 70 to 49 computations (30% saved)

simplify38.0ms (0.6%)

Memory

-21.8MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	35
0	12	35
1	19	35
2	34	35
3	48	35
4	75	35
5	126	35
6	201	35
7	317	35
8	565	35
9	982	35
10	1071	35
11	1183	35
12	1231	35
13	1240	35
14	1247	35
15	1248	35
0	1248	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

12.6MiB live, 52.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.0234375	(sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.02734375	(*.f64 (+.f64 b a) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0.06316376953688403	(/.f64 (-.f64 a b) (+.f64 b a))

Samples

16.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-mult: 3.0ms (34.3% of total)

ival-div: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

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

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

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 67

Calls

Call 1

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

Outputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
b
(+ a b)
(sqrt -1)
(+ (sqrt -1) (/ a (* b (sqrt -1))))
(+ (sqrt -1) (* a (+ (* -1/2 (/ (* a (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2))))) (sqrt -1))) (/ 1 (* b (sqrt -1))))))
(+ (sqrt -1) (* a (+ (* a (+ (* -1/2 (/ (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2)))) (sqrt -1))) (* 1/2 (/ (* a (- (* 2 (/ 1 (pow b 3))) (* -1 (/ (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2)))) (* b (pow (sqrt -1) 2)))))) (sqrt -1))))) (/ 1 (* b (sqrt -1))))))
-1
(- (* 2 (/ a b)) 1)
(- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)
(- (* a (+ (* a (- (* 2 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (* 2 (/ 1 b)))) 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)))))))
(* a (+ 1 (/ b a)))
1
(+ 1 (* 1/2 (/ (- (* -1 b) b) a)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (pow a 2))) (* 1/2 (/ (- (* -1 b) b) a))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 b) b))) (* -1/2 (* (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (- (* -1 b) b)))) (pow a 3))) (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (pow a 2))) (* 1/2 (/ (- (* -1 b) b) a)))))
(- (+ 1 (* -1 (/ b a))) (/ b a))
(- (+ 1 (+ (* -1 (/ b a)) (* -1 (/ (* b (- (* -1 b) b)) (pow a 2))))) (/ b a))
(- (+ 1 (+ (* -1 (/ b a)) (/ (* (pow b 2) (- (* -1 b) b)) (pow a 3)))) (+ (/ b a) (/ (* b (- (* -1 b) b)) (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))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (- (* -1 b) b) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/2 (- (* -1 b) b)) (* 1/2 (/ (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2)))) a))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 b) b))) (* -1/2 (/ (* (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2)))) (- (* -1 b) b)) (pow (sqrt -1) 2)))) a))) a)) (* 1/2 (- (* -1 b) b))) a)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 b) b)) (/ (* b (- (* -1 b) b)) a)) a)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 b) b)) (* -1 (/ (+ (* -1 (* b (- (* -1 b) b))) (/ (* (pow b 2) (- (* -1 b) b)) a)) 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))))))))
(+ 1 (* -1 (/ b a)))
(+ 1 (* b (- (* 1/2 (/ b (pow a 2))) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a))))
(+ 1 (* -2 (/ b a)))
(+ 1 (* b (- (* 2 (/ b (pow a 2))) (* 2 (/ 1 a)))))
(+ 1 (* b (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ 1 a)))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ 1 (/ a b)))
(+ (sqrt -1) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- a (* -1 a)))) (* -1/2 (/ (* (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (- a (* -1 a))) (pow (sqrt -1) 2)))) (* (pow b 3) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1)))))))
(- (/ a b) (+ 1 (* -1 (/ a b))))
(- (+ (* -1 (/ (* a (- a (* -1 a))) (pow b 2))) (/ a b)) (+ 1 (* -1 (/ a b))))
(- (+ (/ a b) (/ (* (pow a 2) (- a (* -1 a))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (/ (* a (- a (* -1 a))) (pow b 2)))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+ (sqrt -1) (* -1/2 (/ (- (* -1 a) a) (* b (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (- (* -1 a) a) (sqrt -1)))) b)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 a) a))) (* -1/2 (/ (* (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (- (* -1 a) a)) (pow (sqrt -1) 2)))) (* b (sqrt -1))))) b)) (* 1/2 (/ (- (* -1 a) a) (sqrt -1)))) b)))
(- (* -1 (/ (- (* -1 a) a) b)) 1)
(- (* -1 (/ (- (+ (* -1 a) (* -1 (/ (* a (- (* -1 a) a)) b))) a) b)) 1)
(- (* -1 (/ (- (+ (* -1 a) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 a) a)) b)) (* -1 (* a (- (* -1 a) a)))) b))) a) b)) 1)

Calls

6 calls:

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

simplify139.0ms (2.3%)

Memory

-9.6MiB live, 144.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	1632
1	1398	1237
2	5544	1101
0	8928	1020

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 65

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)))
b
(+ a b)
(sqrt -1)
(+ (sqrt -1) (/ a (* b (sqrt -1))))
(+ (sqrt -1) (* a (+ (* -1/2 (/ (* a (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2))))) (sqrt -1))) (/ 1 (* b (sqrt -1))))))
(+ (sqrt -1) (* a (+ (* a (+ (* -1/2 (/ (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2)))) (sqrt -1))) (* 1/2 (/ (* a (- (* 2 (/ 1 (pow b 3))) (* -1 (/ (+ (/ 1 (* (pow b 2) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow b 2)))) (* b (pow (sqrt -1) 2)))))) (sqrt -1))))) (/ 1 (* b (sqrt -1))))))
-1
(- (* 2 (/ a b)) 1)
(- (* a (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 b)))) 1)
(- (* a (+ (* a (- (* 2 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (* 2 (/ 1 b)))) 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)))))))
(* a (+ 1 (/ b a)))
1
(+ 1 (* 1/2 (/ (- (* -1 b) b) a)))
(+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (pow a 2))) (* 1/2 (/ (- (* -1 b) b) a))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 b) b))) (* -1/2 (* (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (- (* -1 b) b)))) (pow a 3))) (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -1 b) b) 2)) (* b (- (* -1 b) b))) (pow a 2))) (* 1/2 (/ (- (* -1 b) b) a)))))
(- (+ 1 (* -1 (/ b a))) (/ b a))
(- (+ 1 (+ (* -1 (/ b a)) (* -1 (/ (* b (- (* -1 b) b)) (pow a 2))))) (/ b a))
(- (+ 1 (+ (* -1 (/ b a)) (/ (* (pow b 2) (- (* -1 b) b)) (pow a 3)))) (+ (/ b a) (/ (* b (- (* -1 b) b)) (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))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (- (* -1 b) b) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/2 (- (* -1 b) b)) (* 1/2 (/ (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2)))) a))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 b) b))) (* -1/2 (/ (* (+ (* -1 (* b (- (* -1 b) b))) (* 1/4 (/ (pow (- (* -1 b) b) 2) (pow (sqrt -1) 2)))) (- (* -1 b) b)) (pow (sqrt -1) 2)))) a))) a)) (* 1/2 (- (* -1 b) b))) a)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 b) b)) (/ (* b (- (* -1 b) b)) a)) a)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 b) b)) (* -1 (/ (+ (* -1 (* b (- (* -1 b) b))) (/ (* (pow b 2) (- (* -1 b) b)) a)) 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))))))))
(+ 1 (* -1 (/ b a)))
(+ 1 (* b (- (* 1/2 (/ b (pow a 2))) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a))))
(+ 1 (* -2 (/ b a)))
(+ 1 (* b (- (* 2 (/ b (pow a 2))) (* 2 (/ 1 a)))))
(+ 1 (* b (- (* b (+ (* -2 (/ b (pow a 3))) (* 2 (/ 1 (pow a 2))))) (* 2 (/ 1 a)))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ 1 (/ a b)))
(+ (sqrt -1) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- a (* -1 a)))) (* -1/2 (/ (* (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (- a (* -1 a))) (pow (sqrt -1) 2)))) (* (pow b 3) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (- a (* -1 a)) 2) (pow (sqrt -1) 2))) (* a (- a (* -1 a)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- a (* -1 a)) (* b (sqrt -1)))))))
(- (/ a b) (+ 1 (* -1 (/ a b))))
(- (+ (* -1 (/ (* a (- a (* -1 a))) (pow b 2))) (/ a b)) (+ 1 (* -1 (/ a b))))
(- (+ (/ a b) (/ (* (pow a 2) (- a (* -1 a))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (/ (* a (- a (* -1 a))) (pow b 2)))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+ (sqrt -1) (* -1/2 (/ (- (* -1 a) a) (* b (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (- (* -1 a) a) (sqrt -1)))) b)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 a) a))) (* -1/2 (/ (* (+ (* -1 (* a (- (* -1 a) a))) (* 1/4 (/ (pow (- (* -1 a) a) 2) (pow (sqrt -1) 2)))) (- (* -1 a) a)) (pow (sqrt -1) 2)))) (* b (sqrt -1))))) b)) (* 1/2 (/ (- (* -1 a) a) (sqrt -1)))) b)))
(- (* -1 (/ (- (* -1 a) a) b)) 1)
(- (* -1 (/ (- (+ (* -1 a) (* -1 (/ (* a (- (* -1 a) a)) b))) a) b)) 1)
(- (* -1 (/ (- (+ (* -1 a) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 a) a)) b)) (* -1 (* a (- (* -1 a) a)))) b))) a) b)) 1)

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

rewrite185.0ms (3.1%)

Memory

-7.4MiB live, 148.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
0	12	30
1	53	30
2	424	30
3	6490	30
0	8204	30

Stop Event

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

Counts

4 → 479

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (+.f64 a b)) (sqrt.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (sqrt.f64 (-.f64 b a)))
(.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (+.f64 a b)) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (-.f64 (.f64 b b) (*.f64 (-.f64 a b) a)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) a (.f64 b b)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b))
(.f64 (.f64 (+.f64 a b) (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 (.f64 (sqrt.f64 (-.f64 a b)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal -1/2 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1/4 binary64)) (+.f64 a b)))
(.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (sqrt.f64 (+.f64 a b)))))
(.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (sqrt.f64 (+.f64 a b)))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) (-.f64 b a)))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (/.f64 (sqrt.f64 (-.f64 a b)) (*.f64 (-.f64 b a) (sqrt.f64 (+.f64 a b)))))
(.f64 (.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) (fma.f64 (-.f64 a b) a (.f64 b b))))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (sqrt.f64 (-.f64 a b)) (.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (sqrt.f64 (+.f64 a b)))))
(.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (+.f64 a b) (sqrt.f64 (+.f64 a b))))
(.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (-.f64 b a) (sqrt.f64 (+.f64 a b)))))
(.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (sqrt.f64 (+.f64 a b)))))
(.f64 (sqrt.f64 (-.f64 a b)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64)) (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) (+.f64 a b))
(*.f64 (+.f64 a b) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (+.f64 a b)) (neg.f64 (sqrt.f64 (+.f64 a b))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 b a)) (+.f64 a b)) (sqrt.f64 (neg.f64 (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b)))) (-.f64 a b))
(/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) (fma.f64 (neg.f64 b) b (.f64 a a))) (-.f64 a b))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 a b) (neg.f64 (sqrt.f64 (-.f64 a b)))) (neg.f64 (sqrt.f64 (+.f64 a b))))
(/.f64 (*.f64 (+.f64 a b) (sqrt.f64 (-.f64 b a))) (sqrt.f64 (neg.f64 (+.f64 a b))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a)) (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b))) (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b)) (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a))) (-.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b)) (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a)) (.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) b) (.f64 (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))) a)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 a b)) (+.f64 a b))) (neg.f64 (sqrt.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))) (neg.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 a b))))) (-.f64 a b))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 a b)))) (neg.f64 (.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (sqrt.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (-.f64 a b)))) (neg.f64 (*.f64 (-.f64 b a) (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (fma.f64 (neg.f64 b) b (.f64 a a))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (-.f64 a b)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (.f64 (-.f64 b a) (+.f64 a b))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (-.f64 b a)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (-.f64 b a)) (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 b a)) (fma.f64 (neg.f64 b) b (.f64 a a))) (*.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (-.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (-.f64 b a)) (.f64 (-.f64 b a) (+.f64 a b))) (*.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (-.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 b a)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 b a)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (sqrt.f64 (+.f64 a b)) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (fma.f64 (neg.f64 b) b (.f64 a a))) (*.f64 (sqrt.f64 (+.f64 a b)) (-.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 a b)))) (.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (neg.f64 (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (-.f64 b a))) (.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (sqrt.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (-.f64 a b))) (.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (sqrt.f64 (+.f64 a b))))
(/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (neg.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 (-.f64 a b) (neg.f64 (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (sqrt.f64 (-.f64 b a))) (*.f64 (-.f64 a b) (sqrt.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (sqrt.f64 (-.f64 a b))) (*.f64 (-.f64 a b) (sqrt.f64 (+.f64 a b))))
(/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 (-.f64 b a) (neg.f64 (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) (sqrt.f64 (-.f64 b a))) (*.f64 (-.f64 b a) (sqrt.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 a b)))) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 b a))) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b))) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (sqrt.f64 (+.f64 a b))))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (-.f64 a b)))) (.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (neg.f64 (sqrt.f64 (+.f64 a b)))))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 b a))) (.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (sqrt.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (.f64 (.f64 (-.f64 b a) (+.f64 a b)) #s(literal 1 binary64)) (*.f64 (-.f64 b a) (sqrt.f64 (/.f64 (+.f64 a b) (-.f64 a b)))))
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(fma.f64 (.f64 a #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (.f64 a #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (.f64 (-.f64 b a) (/.f64 a (+.f64 a b))) (.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(fma.f64 (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (/.f64 a (+.f64 a b))) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (-.f64 b a) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (-.f64 b a) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (-.f64 b a) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (/.f64 a (+.f64 a b))) (*.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(fma.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (/.f64 a (+.f64 a b))) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (.f64 b b)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (.f64 b b)) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (-.f64 a b) a (*.f64 b b)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a) (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)))
(fma.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b) (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (-.f64 a b) a)))
(fma.f64 (/.f64 (/.f64 b (+.f64 a b)) (-.f64 b a)) (-.f64 a b) (/.f64 a (+.f64 a b)))
(fma.f64 (/.f64 b (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (/.f64 a (+.f64 a b)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) b (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (neg.f64 a)))
(fma.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b) (/.f64 a (+.f64 a b)))
(fma.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) a (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) a (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) a (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (+.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (+.f64 a b)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (+.f64 a b)) (/.f64 a (+.f64 a b)))
(fma.f64 (-.f64 b a) (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (-.f64 b a) (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (-.f64 b a) (/.f64 (/.f64 a (+.f64 a b)) (-.f64 b a)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (neg.f64 b) (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 a (+.f64 a b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a (+.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (/.f64 a (+.f64 a b)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 #s(literal 1 binary64) (/.f64 a (+.f64 a b)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)) (/.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 (.f64 (-.f64 a b) a) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (*.f64 b b) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 (.f64 b b) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (*.f64 (-.f64 a b) a) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(fma.f64 (/.f64 a (+.f64 a b)) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 b) (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (/.f64 a (+.f64 a b)) (/.f64 a (+.f64 a b)) (*.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(fma.f64 (/.f64 a (+.f64 a b)) (/.f64 a (+.f64 a b)) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 a (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 a (+.f64 a b))) (.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(fma.f64 a (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 a (+.f64 a b))) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(fma.f64 a (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(fma.f64 a (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(fma.f64 a (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 (neg.f64 b) (+.f64 a b)))
(fma.f64 b (/.f64 #s(literal -1 binary64) (+.f64 a b)) (/.f64 a (+.f64 a b)))
(-.f64 (/.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (+.f64 a b))) (/.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (+.f64 a b))))
(-.f64 (/.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 3 binary64)) (fma.f64 (/.f64 b (+.f64 a b)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (+.f64 a b)) (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 3 binary64)) (fma.f64 (/.f64 b (+.f64 a b)) (.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (+.f64 a b)) (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 a b) a) (pow.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 a b) b) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (+.f64 a b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 a b) a (.f64 b b)) (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 a b))) (/.f64 (-.f64 b a) (+.f64 a b)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))) (+.f64 a b)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (+.f64 a b) a (.f64 b b))) (+.f64 a b)))
(-.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)) (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b a) (+.f64 a b)))
(-.f64 (/.f64 a (+.f64 a b)) (/.f64 b (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 a b) a) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (.f64 b b) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 b b) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 a b) a) (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 a (+.f64 a b)) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 b) (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) b) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) (neg.f64 a)))
(+.f64 (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a)) (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)))
(+.f64 (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 b b)) (.f64 (/.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (-.f64 a b) a)))
(+.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)) (/.f64 a (+.f64 a b)))
(+.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 a (+.f64 a b)))
(+.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 b) (+.f64 a b)) (/.f64 b (+.f64 a b))))
(+.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 b (+.f64 a b)) #s(literal 2 binary64))))
(+.f64 (/.f64 a (+.f64 a b)) (*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (neg.f64 b)))
(+.f64 (/.f64 a (+.f64 a b)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (+.f64 a b))))
(+.f64 (/.f64 a (+.f64 a b)) (/.f64 (neg.f64 b) (+.f64 a b)))

eval118.0ms (2%)

Memory: 34.2MiB live, 109.4MiB allocated
Compiler: Compiled 16 413 to 2 239 computations (86.4% saved)

prune55.0ms (0.9%)

Memory

-22.5MiB live, 30.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	623	1	624
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	624	6	630

Accuracy

100.0%

Counts

630 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 b a) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
	99.8%	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (+.f64 a b) (sqrt.f64 (+.f64 a b))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	57.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	98.1%	#s(approx (* (sqrt (- a b)) (sqrt (+ b a))) a)
✓	99.0%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Compiler

Compiled 203 to 95 computations (53.2% saved)

regimes46.0ms (0.8%)

Memory

-18.4MiB live, 20.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	a
4.0ms	b
4.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(*.f64 a a)
3.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes16.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	b
3.0ms	a
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.3%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.3%	1	`(*.f64 a a)`
99.3%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes53.0ms (0.9%)

Memory

-13.2MiB live, 24.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

41.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	b
2.0ms	a
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`
99.0%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.0%	1	`(*.f64 a a)`
99.0%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes11.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Accuracy

Total -62.3b remaining (-5205.7%)

Threshold costs -62.3b (-5205.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`a`
98.1%	1	`b`
98.1%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
98.1%	1	`(-.f64 (.f64 a a) (.f64 b b))`
98.1%	1	`(*.f64 a a)`
98.1%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify102.0ms (1.7%)

Memory

-20.8MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	49
1	37	49
2	56	49
3	99	49
4	212	49
5	445	49
6	1119	49
7	2657	49
8	5043	49

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness676.0ms (11.5%)

Memory

20.0MiB live, 491.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	537
1	332	537
2	1153	524
3	4633	506
0	8289	471
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9388	21
0	24	115
0	39	114
1	123	114
2	787	114
0	8487	114
0	20	96
0	31	101
1	99	66
2	610	66
3	7930	66
0	9211	66
0	576	2669
1	1872	2171
2	7714	2168
0	8074	2035

Stop Event

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

Compiler

Compiled 166 to 87 computations (47.6% saved)

preprocess42.0ms (0.7%)

Memory: 2.6MiB live, 76.0MiB allocated
Compiler: Compiled 188 to 108 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze91.0ms (1.5%)

sample724.0ms (12.3%)

explain84.0ms (1.4%)

preprocess440.0ms (7.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify442.0ms (7.5%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

simplify247.0ms (4.2%)

rewrite355.0ms (6%)

eval42.0ms (0.7%)

prune35.0ms (0.6%)

simplify238.0ms (4%)

localize89.0ms (1.5%)

series31.0ms (0.5%)

simplify156.0ms (2.6%)

rewrite278.0ms (4.7%)

eval176.0ms (3%)

prune34.0ms (0.6%)

simplify94.0ms (1.6%)

localize54.0ms (0.9%)

series17.0ms (0.3%)

simplify233.0ms (3.9%)

rewrite250.0ms (4.2%)

eval245.0ms (4.2%)

prune22.0ms (0.4%)

simplify38.0ms (0.6%)

localize21.0ms (0.4%)

series3.0ms (0.1%)

simplify139.0ms (2.3%)

rewrite185.0ms (3.1%)

eval118.0ms (2%)

prune55.0ms (0.9%)

regimes46.0ms (0.8%)

regimes16.0ms (0.3%)

regimes53.0ms (0.9%)

regimes11.0ms (0.2%)

simplify102.0ms (1.7%)

soundness676.0ms (11.5%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling