Metrics for Eccentricity of an ellipse

analyze18.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
0%	0%	9.4%	90.6%	0%	0%	0%	3
0%	0%	9.4%	90.6%	0%	0%	0%	4
0%	0%	7%	93%	0%	0%	0%	5
20%	1.2%	4.7%	94.1%	0%	0%	0%	6
25%	1.2%	3.5%	95.3%	0%	0%	0%	7
40%	1.8%	2.6%	95.6%	0%	0%	0%	8
51.9%	2%	1.9%	96%	0%	0%	0%	9
64.7%	2.4%	1.3%	96.3%	0%	0%	0%	10
72.9%	2.6%	1%	96.5%	0%	0%	0%	11
80.2%	2.7%	0.7%	96.6%	0%	0%	0%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions

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

ival-mult: 2.0ms (22.3% of total)

ival-<=: 2.0ms (22.3% of total)

ival-div: 1.0ms (11.2% of total)

ival-fabs: 1.0ms (11.2% of total)

ival-sub: 1.0ms (11.2% of total)

ival-sqrt: 1.0ms (11.2% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.6s (18.7%)

Results

1.1s	8256×	0	valid
69.0ms	823×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 808.0ms

ival-mult: 177.0ms (21.9% of total)

ival-div: 163.0ms (20.2% of total)

ival-<=: 146.0ms (18.1% of total)

ival-sqrt: 140.0ms (17.3% of total)

ival-sub: 80.0ms (9.9% of total)

ival-fabs: 66.0ms (8.2% of total)

ival-and: 20.0ms (2.5% of total)

const: 11.0ms (1.4% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess247.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
1602×	`+-lowering-+.f64`
1602×	`+-lowering-+.f32`
1576×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	74
1	103	68
2	405	62
3	2684	62
0	8	12
1	26	11
2	72	10
3	208	10
4	534	10
5	2098	10
0	8351	10

Stop Event

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

Calls

Call 1

Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

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

Call 2

Inputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a)))))
(sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a))))
(neg (sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a))))))
(neg (sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a)))))
(sqrt (fabs (/ (- (* b b) (* a a)) (* b b))))

Outputs
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
(sqrt (fabs (fnmadd b (/ b (* a a)) 1)))
(sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a)))))
(sqrt (fabs (fnmadd b (/ b (* a a)) 1)))
(sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a))))
(sqrt (fabs (fnmadd b (/ b (* a a)) 1)))
(neg (sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a))))))
(neg (sqrt (fabs (fnmadd b (/ b (* a a)) 1))))
(neg (sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a)))))
(neg (sqrt (fabs (fnmadd b (/ b (* a a)) 1))))
(sqrt (fabs (/ (- (* b b) (* a a)) (* b b))))
(sqrt (fabs (fnmadd a (/ a (* b b)) 1)))

Symmetry

(abs a)

(abs b)

explain89.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 b b)`
0	-	-	`b`
0	-	-	`a`
0	-	-	`(*.f64 a a)`

Results

52.0ms

512×

valid

Compiler

Compiled 123 to 26 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.5% of total)

ival-sqrt: 4.0ms (18.8% of total)

ival-sub: 3.0ms (14.1% of total)

ival-div: 3.0ms (14.1% of total)

ival-fabs: 3.0ms (14.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify180.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1676×	`+-lowering-+.f64`
1676×	`+-lowering-+.f32`
1616×	`fma-define`
1398×	`-lowering-.f32`
1398×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	16	43
2	28	43
3	38	43
4	56	43
5	105	43
6	333	43
7	690	43
8	1880	43
9	5832	43
0	8108	43

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (fabs (+ (/ (* b b) (* a a)) -1)))
(fabs (+ (/ (* b b) (* a a)) -1))
(+ (/ (* b b) (* a a)) -1)
(/ (* b b) (* a a))
(* b b)
b
(* a a)
a
-1

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

localize59.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fabs.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))))
✓	accuracy	50.1%	(/.f64 (.f64 b b) (.f64 a a))

Results

29.0ms

256×

valid

Compiler

Compiled 49 to 10 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.1% of total)

ival-div: 2.0ms (18.5% of total)

ival-fabs: 2.0ms (18.5% of total)

ival-sqrt: 2.0ms (18.5% of total)

ival-add: 1.0ms (9.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (sqrt (fabs (+ (/ (* b b) (* a a)) -1)))>
#<alt (fabs (+ (/ (* b b) (* a a)) -1))>
#<alt (+ (/ (* b b) (* a a)) -1)>
#<alt (/ (* b b) (* a a))>
#<alt (* a a)>

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

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	(/ (* b b) (* a a))
1.0ms	b	@	inf	(+ (/ (* b b) (* a a)) -1)
1.0ms	a	@	0	(+ (/ (* b b) (* a a)) -1)
0.0ms	b	@	0	(+ (/ (* b b) (* a a)) -1)
0.0ms	b	@	0	(sqrt (fabs (+ (/ (* b b) (* a a)) -1)))

rewrite257.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3326×	`-lowering-.f32`
3326×	`-lowering-.f64`
1824×	`/-lowering-/.f32`
1824×	`/-lowering-/.f64`
1174×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	44	32
2	367	32
3	4980	32
0	8260	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 190

Calls

Call 1

Inputs
(sqrt (fabs (+ (/ (* b b) (* a a)) -1)))
(fabs (+ (/ (* b b) (* a a)) -1))
(+ (/ (* b b) (* a a)) -1)
(/ (* b b) (* a a))
(* a a)

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

simplify199.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2632×	`-lowering-.f32`
2632×	`-lowering-.f64`
1568×	`sum5-define`
1190×	`fmsub-define`
1104×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	894
1	35	894
2	78	828
3	186	828
4	474	828
5	1140	828
6	3720	828
0	8678	828

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval45.0ms (0.5%)

Compiler: Compiled 6273 to 837 computations (86.7% saved)

prune26.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	295	3	298
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	296	3	299

Accuracy

100.0%

Counts

299 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))))
▶	97.8%	(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))

Status

Accuracy

Program

▶

88.7%

(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))))

▶

100.0%

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

▶

97.8%

(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

simplify228.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a)))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))
✓	cost-diff	0	(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a))))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))))
✓	cost-diff	0	(/.f64 (/.f64 b (/.f64 a b)) a)
✓	cost-diff	0	(-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))
✓	cost-diff	0	(fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))))
✓	cost-diff	6400	(fabs.f64 #s(literal -1 binary64))
✓	cost-diff	12800	(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))

Rules

2628×	`-lowering-.f32`
2628×	`-lowering-.f64`
1924×	`fnmadd-define`
1860×	`/-lowering-/.f32`
1860×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	218
1	52	218
2	137	177
3	498	157
4	2203	157
5	5011	157
0	8131	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (fabs -1))
(fabs -1)
-1
(sqrt (fabs (- (/ (/ b (/ a b)) a) 1)))
(fabs (- (/ (/ b (/ a b)) a) 1))
(- (/ (/ b (/ a b)) a) 1)
(/ (/ b (/ a b)) a)
(/ b (/ a b))
b
(/ a b)
a
1
(sqrt (fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))))
(fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a))))
(/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))
(- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a)))))
1
(/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))
(* b b)
b
(* a (/ a (/ (/ b (/ a b)) a)))
a
(/ a (/ (/ b (/ a b)) a))
(/ (/ b (/ a b)) a)
(/ b (/ a b))
(/ a b)
(- -1 (/ (/ b (/ a b)) a))
-1

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

localize121.0ms (1.4%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.5%	(*.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a)))
✓	accuracy	90.7%	(/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))
✓	accuracy	76.6%	(/.f64 (/.f64 b (/.f64 a b)) a)
✓	accuracy	72.7%	(/.f64 (.f64 b b) (.f64 a (/.f64 a (/.f64 (/.f64 b (/.f64 a b)) a))))
✓	accuracy	100.0%	(fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 b (/.f64 a b))
✓	accuracy	76.6%	(/.f64 (/.f64 b (/.f64 a b)) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))
✓	accuracy	100.0%	(fabs.f64 #s(literal -1 binary64))

Results

89.0ms

256×

valid

Compiler

Compiled 224 to 22 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 17.0ms (37.7% of total)

ival-fabs: 13.0ms (28.9% of total)

ival-sqrt: 8.0ms (17.8% of total)

ival-sub: 4.0ms (8.9% of total)

ival-mult: 4.0ms (8.9% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts

14 → 288

Calls

Call 1

Inputs
#<alt (sqrt (fabs -1))>
#<alt (fabs -1)>
#<alt (sqrt (fabs (- (/ (/ b (/ a b)) a) 1)))>
#<alt (fabs (- (/ (/ b (/ a b)) a) 1))>
#<alt (- (/ (/ b (/ a b)) a) 1)>
#<alt (/ (/ b (/ a b)) a)>
#<alt (sqrt (fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))))>
#<alt (fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a))))>
#<alt (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))>
#<alt (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a)))))>
#<alt (/ b (/ a b))>
#<alt (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))>
#<alt (/ a (/ (/ b (/ a b)) a))>
#<alt (* a (/ a (/ (/ b (/ a b)) a)))>

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

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	b	@	0	(/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))
2.0ms	a	@	0	(/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))
1.0ms	b	@	inf	(/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))
1.0ms	b	@	inf	(sqrt (fabs (- (/ (/ b (/ a b)) a) 1)))
1.0ms	b	@	0	(/ a (/ (/ b (/ a b)) a))

rewrite358.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3042×	`/-lowering-/.f32`
3042×	`/-lowering-/.f64`
2392×	`-lowering-.f32`
2392×	`-lowering-.f64`
1308×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	129	114
2	1228	90
0	8920	90

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 758

Calls

Call 1

Inputs
(sqrt (fabs -1))
(fabs -1)
(sqrt (fabs (- (/ (/ b (/ a b)) a) 1)))
(fabs (- (/ (/ b (/ a b)) a) 1))
(- (/ (/ b (/ a b)) a) 1)
(/ (/ b (/ a b)) a)
(sqrt (fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))))
(fabs (/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a))))
(/ (- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))) (- -1 (/ (/ b (/ a b)) a)))
(- 1 (/ (* b b) (* a (/ a (/ (/ b (/ a b)) a)))))
(/ b (/ a b))
(/ (* b b) (* a (/ a (/ (/ b (/ a b)) a))))
(/ a (/ (/ b (/ a b)) a))
(* a (/ a (/ (/ b (/ a b)) a)))

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

simplify218.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1900×	`-lowering-.f32`
1900×	`-lowering-.f64`
1714×	`fnmadd-define`
1516×	`/-lowering-/.f32`
1516×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	2889
1	86	2841
2	192	2709
3	425	2709
4	1033	2709
5	3182	2709
0	8176	2709

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))
(sqrt.f64 (fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(fabs.f64 (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(sqrt (fabs (* -1 (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64)))))
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-1
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(- (/ (pow b 2) (pow a 2)) 1)
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(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (pow b 2) (pow a 2))
(.f64 b (/.f64 b (.f64 a a)))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* -1 (/ (pow b 4) (pow a 4)))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* -1 (/ (pow b 4) (pow a 4)))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* (pow b 4) (- (/ 1 (pow b 4)) (/ 1 (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(* -1 (/ (pow b 4) (pow a 4)))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/ (- (pow a 4) (pow b 4)) (pow a 4))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+ 1 (* -1 (/ (pow b 4) (pow a 4))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow b 4) (pow a 4))
(/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (.f64 a (.f64 a a)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)
(/ (pow a 4) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)

eval196.0ms (2.3%)

Compiler: Compiled 52612 to 3604 computations (93.1% saved)

prune106.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1302	2	1304
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	1304	3	1307

Accuracy

100.0%

Counts

1307 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

99.0%

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

✓

100.0%

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

▶

97.8%

#s(literal 1 binary64)

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2266×	`fnmadd-define`
1906×	`fma-define`
1468×	`fmsub-define`
1404×	`fnmsub-define`
1348×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	23	62
2	45	58
3	106	58
4	225	58
5	388	58
6	582	58
7	900	58
8	2731	58
9	7090	58
0	8007	58

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
1
(sqrt (fabs (/ 1 (- -1 (/ (/ b (/ a b)) a)))))
(fabs (/ 1 (- -1 (/ (/ b (/ a b)) a))))
(/ 1 (- -1 (/ (/ b (/ a b)) a)))
1
(- -1 (/ (/ b (/ a b)) a))
-1
(/ (/ b (/ a b)) a)
(/ b (/ a b))
b
(/ a b)
a

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

localize50.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 b (/.f64 a b)) a)))
✓	accuracy	99.8%	(/.f64 b (/.f64 a b))
✓	accuracy	76.6%	(/.f64 (/.f64 b (/.f64 a b)) a)

Results

36.0ms

256×

valid

Compiler

Compiled 68 to 12 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 17.0ms (75.1% of total)

ival-fabs: 2.0ms (8.8% of total)

ival-sqrt: 2.0ms (8.8% of total)

ival-sub: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (sqrt (fabs (/ 1 (- -1 (/ (/ b (/ a b)) a)))))>
#<alt (fabs (/ 1 (- -1 (/ (/ b (/ a b)) a))))>
#<alt (/ 1 (- -1 (/ (/ b (/ a b)) a)))>
#<alt (- -1 (/ (/ b (/ a b)) a))>
#<alt (/ (/ b (/ a b)) a)>
#<alt (/ b (/ a b))>

Outputs
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) 1)>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (/ (pow a 2) (pow b 4)) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (+ (* (pow a 2) (- (/ (pow a 2) (pow b 8)) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>
#<alt (/ (pow b 2) a)>

Calls

36 calls:

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

rewrite299.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3126×	`-lowering-.f32`
3126×	`-lowering-.f64`
2616×	`/-lowering-/.f32`
2616×	`/-lowering-/.f64`
1636×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	65	55
2	497	41
3	6818	41
0	8261	41

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 361

Calls

Call 1

Inputs
(sqrt (fabs (/ 1 (- -1 (/ (/ b (/ a b)) a)))))
(fabs (/ 1 (- -1 (/ (/ b (/ a b)) a))))
(/ 1 (- -1 (/ (/ b (/ a b)) a)))
(- -1 (/ (/ b (/ a b)) a))
(/ (/ b (/ a b)) a)
(/ b (/ a b))

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

simplify239.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2226×	`+-lowering-+.f64`
2226×	`+-lowering-+.f32`
2152×	`-lowering-.f32`
2152×	`-lowering-.f64`
1544×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1503
1	246	1431
2	806	1332
3	2708	1327
0	8238	1327

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(sqrt (fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2))))))
(sqrt.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(fabs (/ -1 (+ 1 (/ (pow b 2) (pow a 2)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))) 1)
(-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(- (* (pow b 2) (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))))
(* -1 (/ (pow a 2) (pow b 2)))
(.f64 a (.f64 a (/.f64 (/.f64 #s(literal -1 binary64) b) b)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b))))) (.f64 a a)) (*.f64 b b))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 a a)) (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)))) (*.f64 b b))
(* -1 (/ (pow a 2) (pow b 2)))
(.f64 a (.f64 a (/.f64 (/.f64 #s(literal -1 binary64) b) b)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b))))) (.f64 a a)) (*.f64 b b))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 a a)) (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)))) (*.f64 b b))
(* -1 (/ (pow a 2) (pow b 2)))
(.f64 a (.f64 a (/.f64 (/.f64 #s(literal -1 binary64) b) b)))
(* (pow a 2) (- (/ (pow a 2) (pow b 4)) (/ 1 (pow b 2))))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 a (.f64 a (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))
(* (pow a 2) (- (* (pow a 2) (+ (* (pow a 2) (- (/ (pow a 2) (pow b 8)) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (.f64 a (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64)))))))) (/.f64 (/.f64 #s(literal -1 binary64) b) b)))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 a a)))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)
(/ (pow b 2) a)
(/.f64 (*.f64 b b) a)

eval76.0ms (0.9%)

Compiler: Compiled 15053 to 1671 computations (88.9% saved)

prune48.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	504	1	505
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	505	3	508

Accuracy

100.0%

Counts

508 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

99.0%

(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a)))))) #s(literal 1/4 binary64))

✓

100.0%

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

✓

97.8%

#s(literal 1 binary64)

Compiler

Compiled 43 to 24 computations (44.2% saved)

simplify160.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a)))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))))
✓	cost-diff	128	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a)))))) #s(literal 1/4 binary64))

Rules

2258×	`-lowering-.f32`
2258×	`-lowering-.f64`
1750×	`/-lowering-/.f32`
1750×	`/-lowering-/.f64`
1434×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	83
1	24	81
2	47	75
3	109	75
4	225	75
5	498	75
6	2195	75
0	8011	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
(* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a))))))
(/ 1 (- -1 (/ b (/ a (/ b a)))))
1
(- -1 (/ b (/ a (/ b a))))
-1
(/ b (/ a (/ b a)))
b
(/ a (/ b a))
a
(/ b a)
1/4

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

localize67.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a)))))
✓	accuracy	99.7%	(/.f64 b (/.f64 a (/.f64 b a)))
✓	accuracy	99.6%	(/.f64 a (/.f64 b a))

Results

51.0ms

256×

valid

Compiler

Compiled 91 to 13 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 25.0ms (68% of total)

ival-pow: 8.0ms (21.7% of total)

ival-mult: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

const: 1.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

series107.0ms (1.3%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)>
#<alt (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a))))))>
#<alt (/ 1 (- -1 (/ b (/ a (/ b a)))))>
#<alt (- -1 (/ b (/ a (/ b a))))>
#<alt (/ a (/ b a))>
#<alt (/ b (/ a (/ b a)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))>
#<alt (/ a b)>
#<alt (/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b)>
#<alt (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b)>
#<alt (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b)>
#<alt (* -1 (/ a b))>
#<alt (* -1 (/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b))>
#<alt (* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b))>
#<alt (* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b))>
#<alt (/ a b)>
#<alt (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b)))>
#<alt (* a (+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))>
#<alt (* a (+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 4))) (* 2 (/ 1 (pow a 2))))))>
#<alt (+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 6))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 2))))))>
#<alt (/ (pow a 4) (pow b 4))>
#<alt (/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))>
#<alt (/ (pow a 4) (pow b 4))>
#<alt (/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))>
#<alt (/ (pow a 4) (pow b 4))>
#<alt (* (pow a 4) (+ (* -2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4))))>
#<alt (* (pow a 4) (+ (* (pow a 2) (- (* 3 (/ (pow a 2) (pow b 8))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))>
#<alt (* (pow a 4) (+ (* (pow a 2) (- (* (pow a 2) (+ (* -4 (/ (pow a 2) (pow b 10))) (* 3 (/ 1 (pow b 8))))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (pow b 2) (pow a 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) 1)>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (/ (pow a 2) (pow b 4)) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (+ (* (pow a 2) (- (/ (pow a 2) (pow b 8)) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (- (* -1 (/ (pow b 2) (pow a 2))) 1)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow a 2) b)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>

Calls

36 calls:

Time	Variable		Point	Expression
88.0ms	b	@	0	(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
10.0ms	a	@	0	(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
1.0ms	b	@	inf	(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
1.0ms	a	@	inf	(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
1.0ms	b	@	inf	(* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a))))))

rewrite288.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3552×	`-lowering-.f32`
3552×	`-lowering-.f64`
2716×	`/-lowering-/.f32`
2716×	`/-lowering-/.f64`
2050×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	75	44
2	579	43
3	6627	43
0	9067	43

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 395

Calls

Call 1

Inputs
(pow (* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a)))))) 1/4)
(* (/ 1 (- -1 (/ b (/ a (/ b a))))) (/ 1 (- -1 (/ b (/ a (/ b a))))))
(/ 1 (- -1 (/ b (/ a (/ b a)))))
(- -1 (/ b (/ a (/ b a))))
(/ a (/ b a))
(/ b (/ a (/ b a)))

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

simplify336.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5794×	`-lowering-.f32`
5794×	`-lowering-.f64`
2466×	`+-lowering-+.f64`
2466×	`+-lowering-+.f32`
1344×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	1877
1	837	1819
2	2816	1715
0	8020	1715

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(/ a b)
(/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b)
(/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b)
(/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b)
(* -1 (/ a b))
(* -1 (/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b))
(* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b))
(* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b))
(/ a b)
(* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b)))
(* a (+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))
(* a (+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+ 1 (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 4))) (* 2 (/ 1 (pow a 2))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 6))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 2))))))
(/ (pow a 4) (pow b 4))
(/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))
(/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))
(/ (pow a 4) (pow b 4))
(/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))
(/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))
(/ (pow a 4) (pow b 4))
(* (pow a 4) (+ (* -2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4))))
(* (pow a 4) (+ (* (pow a 2) (- (* 3 (/ (pow a 2) (pow b 8))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))
(* (pow a 4) (+ (* (pow a 2) (- (* (pow a 2) (+ (* -4 (/ (pow a 2) (pow b 10))) (* 3 (/ 1 (pow b 8))))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))
(- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
1
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))
(- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))) 1)
(- (* (pow b 2) (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) 1)
(* -1 (/ (pow a 2) (pow b 2)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(* -1 (/ (pow a 2) (pow b 2)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(* -1 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (/ (pow a 2) (pow b 4)) (/ 1 (pow b 2))))
(* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
(* (pow a 2) (- (* (pow a 2) (+ (* (pow a 2) (- (/ (pow a 2) (pow b 8)) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
-1
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(* -1 (/ (pow b 2) (pow a 2)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
-1
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
-1
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow a 2) b)
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))
(+ 1 (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 4))) (* 1/2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3/8 binary64)) (.f64 a (.f64 a (.f64 a a))))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 6))) (* 3/8 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal -5/16 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 3/8 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) (.f64 a a))))))
(/ a b)
(/.f64 a b)
(/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b)
(/.f64 (+.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 b b))) b)
(/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 b b)) (+.f64 a (/.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 a #s(literal 6 binary64))) a) (.f64 b (.f64 b (.f64 b b)))))) b)
(/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b)
(/.f64 (+.f64 (+.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 b b))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -3/4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (+.f64 (.f64 (.f64 a a) (.f64 #s(literal -3/8 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal 8 binary64))) (pow.f64 b #s(literal 6 binary64)))))) b)
(* -1 (/ a b))
(-.f64 #s(literal 0 binary64) (/.f64 a b))
(* -1 (/ (+ a (* -1/2 (/ (pow a 3) (pow b 2)))) b))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b b))) a) b)
(* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (* -1/2 (/ (pow a 3) (pow b 2))))) b))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b b)) (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) a) #s(literal -3/4 binary64)) (.f64 b (.f64 b (.f64 b b)))))) a) b)
(* -1 (/ (+ a (+ (* -1/2 (/ (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))) (* a (pow b 4)))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 6)) (* 1/4 (pow a 6))))) (pow a 8)) (* a (pow b 6)))) (* -1/2 (/ (pow a 3) (pow b 2)))))) b))
(/.f64 (+.f64 (+.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 b b))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -3/4 binary64)) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (+.f64 (.f64 (.f64 a a) (.f64 #s(literal -3/8 binary64) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal 8 binary64))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(/ a b)
(/.f64 a b)
(* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b)))
(.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 b (*.f64 b b)))))
(* a (+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))
(.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (.f64 a a) (-.f64 (/.f64 (.f64 (.f64 a a) #s(literal 3/8 binary64)) (.f64 (.f64 b (.f64 b (.f64 b b))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b b)))))))
(* a (+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b)))
(.f64 a (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (.f64 a a) (+.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 a a) #s(literal -5/16 binary64)) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 b (.f64 b (.f64 b b))) b)))) (/.f64 #s(literal -1/2 binary64) (.f64 b (*.f64 b b)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (.f64 a (*.f64 a a)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (.f64 b b) a) a) (+.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -3/4 binary64)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (.f64 b b) (.f64 #s(literal -3/8 binary64) (.f64 b (.f64 b (*.f64 b b)))))) (pow.f64 a #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a))) (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (.f64 a (*.f64 a a)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (.f64 b b) a) a) (+.f64 (/.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal -3/4 binary64)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (.f64 b b) (.f64 #s(literal -3/8 binary64) (.f64 b (.f64 b (*.f64 b b)))))) (pow.f64 a #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(+ 1 (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 4))) (* 2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 6))) (* 3 (/ 1 (pow a 4))))) (* 2 (/ 1 (pow a 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal -4 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal -2 binary64) (.f64 a a)))))
(/ (pow a 4) (pow b 4))
(/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))
(/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))
(/.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))
(/.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 8 binary64))) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (pow.f64 a #s(literal 9 binary64)) a) #s(literal -3 binary64)) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 8 binary64))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (*.f64 b b))))
(/ (pow a 4) (pow b 4))
(/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))
(/ (+ (* -2 (/ (pow a 6) (pow b 2))) (pow a 4)) (pow b 4))
(/.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ (* -1 (/ (+ (* -4 (pow a 8)) (pow a 8)) (pow b 4))) (pow a 4)) (* 2 (/ (pow a 6) (pow b 2)))) (pow b 4))
(/.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 8 binary64))) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b (.f64 b (.f64 b b))))
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 8)) (pow a 8)))) (* -2 (pow a 10))) (pow b 6))) (pow a 4)) (+ (* -4 (/ (pow a 8) (pow b 4))) (+ (* 2 (/ (pow a 6) (pow b 2))) (/ (pow a 8) (pow b 4))))) (pow b 4))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (.f64 (pow.f64 a #s(literal 9 binary64)) a) #s(literal -3 binary64)) (pow.f64 a #s(literal 10 binary64)))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -2 binary64)) (.f64 b b)) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 8 binary64))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b (.f64 b (*.f64 b b))))
(/ (pow a 4) (pow b 4))
(/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))
(* (pow a 4) (+ (* -2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (*.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64)))))))
(* (pow a 4) (+ (* (pow a 2) (- (* 3 (/ (pow a 2) (pow b 8))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 (*.f64 a a) #s(literal 3 binary64)) (pow.f64 b #s(literal 8 binary64)))))))
(* (pow a 4) (+ (* (pow a 2) (- (* (pow a 2) (+ (* -4 (/ (pow a 2) (pow b 10))) (* 3 (/ 1 (pow b 8))))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (+.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (*.f64 a a) #s(literal -4 binary64)) (pow.f64 b #s(literal 10 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 b #s(literal 8 binary64))))) (/.f64 #s(literal -2 binary64) (pow.f64 b #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
(- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal -3 binary64) (.f64 b b))))) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) (.f64 a (.f64 a (*.f64 a a))))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 b (.f64 b (/.f64 #s(literal -2 binary64) (*.f64 a a)))))
(- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) (.f64 a (.f64 a (.f64 a a)))))))
(- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal -3 binary64) (.f64 b b))))) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 b b) #s(literal 3 binary64)) (.f64 a (.f64 a (*.f64 a a))))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a (.f64 a (*.f64 a a)))))))
(- (* (pow b 2) (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a)))))))))
(* -1 (/ (pow a 2) (pow b 2)))
(/.f64 (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (+.f64 (.f64 a a) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (+.f64 (.f64 a a) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(* -1 (/ (pow a 2) (pow b 2)))
(/.f64 (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(/ (+ (* -1 (pow a 2)) (/ (pow a 4) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(/ (- (+ (* -1 (/ (pow a 6) (pow b 4))) (* -1 (pow a 2))) (* -1 (/ (pow a 4) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (+.f64 (.f64 a a) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))))) (*.f64 b b))
(/ (- (+ (* -1 (pow a 2)) (/ (pow a 8) (pow b 6))) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 6) (pow b 4)))) (pow b 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (+.f64 (.f64 a a) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(* -1 (/ (pow a 2) (pow b 2)))
(/.f64 (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 b b)))
(* (pow a 2) (- (/ (pow a 2) (pow b 4)) (/ 1 (pow b 2))))
(/.f64 (-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b b)) (.f64 a a)) (.f64 b b))
(* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
(* (pow a 2) (- (* (pow a 2) (+ (* (pow a 2) (- (/ (pow a 2) (pow b 8)) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))
(.f64 (.f64 a a) (+.f64 (.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (.f64 a (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64)))))))) (/.f64 #s(literal -1 binary64) (*.f64 b b))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a (.f64 a (*.f64 a a)))))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 (/.f64 (/.f64 (*.f64 b b) a) a) #s(literal -1 binary64))
(- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a (.f64 a (*.f64 a a)))))))
(- (/ (pow b 6) (pow a 6)) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a (.f64 a (*.f64 a a))))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a))
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow a 2) b)
(/.f64 (*.f64 a a) b)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)
(/ (pow b 2) (pow a 2))
(/.f64 (/.f64 (*.f64 b b) a) a)

eval167.0ms (2%)

Compiler: Compiled 36765 to 2619 computations (92.9% saved)

prune127.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	903	5	908
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	904	7	911

Accuracy

100.0%

Counts

911 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (.f64 a (/.f64 a b))))) (+.f64 #s(literal -1 binary64) (/.f64 b (.f64 a (/.f64 a b))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 a (/.f64 a b))) (/.f64 (*.f64 a (/.f64 a b)) b)))) #s(literal 1/4 binary64))
	97.8%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) #s(literal -1 binary64)) #s(literal 1/4 binary64))
	99.0%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 a (/.f64 a b))) (/.f64 (.f64 a (/.f64 a b)) b))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 a (/.f64 a b))) (/.f64 (.f64 a (/.f64 a b)) b))))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (.f64 a (/.f64 a b)))) (+.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a (/.f64 a b)))))) #s(literal 1/4 binary64))
	99.0%	(pow.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 b (.f64 a (/.f64 a b)))) (-.f64 #s(literal -1 binary64) (/.f64 b (*.f64 a (/.f64 a b))))) #s(literal -1/4 binary64))
	98.4%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 b b) a) a)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (/.f64 b (/.f64 a b)) a) #s(literal 1 binary64))))
✓	97.8%	#s(literal 1 binary64)

Compiler

Compiled 428 to 144 computations (66.4% saved)

regimes27.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes28.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(*.f64 a a)
3.0ms	b
3.0ms	a
3.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary64)

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

(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 a (/.f64 b a))))) #s(literal -1 binary64)) #s(literal 1/4 binary64))

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

Calls

3 calls:

2.0ms	b
2.0ms	a
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
98.4%	1	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
22×	`sub-neg_binary64`
20×	`*-commutative_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	34	44
2	46	44
3	69	44
4	86	44
5	95	44
6	98	44

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.3s (27.3%)

Rules

5794×	`-lowering-.f32`
5794×	`-lowering-.f64`
3552×	`-lowering-.f32`
3552×	`-lowering-.f64`
3326×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	129	114
2	1228	90
0	8920	90
0	9	40
1	44	32
2	367	32
3	4980	32
0	8260	32
0	8	12
1	26	11
2	72	10
3	208	10
4	534	10
5	2098	10
0	8351	10
0	18	894
1	35	894
2	78	828
3	186	828
4	474	828
5	1140	828
6	3720	828
0	8678	828
0	11	55
1	65	55
2	497	41
3	6818	41
0	8261	41
0	257	1877
1	837	1819
2	2816	1715
0	8020	1715
0	12	57
1	75	44
2	579	43
3	6627	43
0	9067	43
0	41	2889
1	86	2841
2	192	2709
3	425	2709
4	1033	2709
5	3182	2709
0	8176	2709

Stop Event

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

Compiler

Compiled 172 to 116 computations (32.6% saved)

preprocess31.0ms (0.4%)

Remove

(abs b)

(abs a)

Compiler

Compiled 226 to 132 computations (41.6% saved)

analyze18.0ms (0.2%)

sample1.6s (18.7%)

preprocess247.0ms (2.9%)

explain89.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify180.0ms (2.1%)

localize59.0ms (0.7%)

series15.0ms (0.2%)

rewrite257.0ms (3.1%)

simplify199.0ms (2.4%)

eval45.0ms (0.5%)

prune26.0ms (0.3%)

simplify228.0ms (2.7%)

localize121.0ms (1.4%)

series22.0ms (0.3%)

rewrite358.0ms (4.2%)

simplify218.0ms (2.6%)

eval196.0ms (2.3%)

prune106.0ms (1.3%)

simplify85.0ms (1%)

localize50.0ms (0.6%)

series5.0ms (0.1%)

rewrite299.0ms (3.6%)

simplify239.0ms (2.8%)

eval76.0ms (0.9%)

prune48.0ms (0.6%)

simplify160.0ms (1.9%)

localize67.0ms (0.8%)

series107.0ms (1.3%)

rewrite288.0ms (3.4%)

simplify336.0ms (4%)

eval167.0ms (2%)

prune127.0ms (1.5%)

regimes27.0ms (0.3%)

regimes28.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness2.3s (27.3%)

preprocess31.0ms (0.4%)

end0.0ms (0%)

Profiling