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 (22.1% of total)

ival-<=: 2.0ms (22.1% of total)

ival-div: 1.0ms (11.1% of total)

ival-fabs: 1.0ms (11.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

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

const: 0.0ms (0% of total)

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

sample1.5s (17.4%)

Results

989.0ms	8256×	0	valid
131.0ms	864×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 750.0ms

ival-mult: 193.0ms (25.7% of total)

ival-<=: 173.0ms (23.1% of total)

ival-sub: 125.0ms (16.7% of total)

ival-fabs: 85.0ms (11.3% of total)

ival-div: 74.0ms (9.9% of total)

ival-sqrt: 64.0ms (8.5% of total)

ival-and: 20.0ms (2.7% of total)

const: 12.0ms (1.6% of total)

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

Bogosity

preprocess267.0ms (3.1%)

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	62
1	107	56
2	409	50
3	2708	50
0	8	10
1	28	9
2	74	8
3	212	8
4	540	8
5	2106	8
0	8308	8

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 (/.f64 b 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 (- 1 (square (/ b a)))))
(sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a)))))
(sqrt (fabs (- 1 (square (/ b a)))))
(sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a))))
(sqrt (fabs (- 1 (square (/ b a)))))
(neg (sqrt (fabs (/ (- (* (neg a) (neg a)) (* b b)) (* (neg a) (neg a))))))
(neg (sqrt (fabs (- 1 (square (/ b a))))))
(neg (sqrt (fabs (/ (- (* a a) (* (neg b) (neg b))) (* a a)))))
(neg (sqrt (fabs (- 1 (square (/ b a))))))
(sqrt (fabs (/ (- (* b b) (* a a)) (* b b))))
(sqrt (fabs (+ (square (/ a b)) -1)))

Symmetry

(abs a)

(abs b)

explain107.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
68	-	1	(2.3137035919159697e-158 4.3646433556074327e-159)	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	0	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	0	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`b`
0	-	0	-	`a`
0	-	0	-	`(*.f64 a a)`

Results

60.0ms

512×

valid

Compiler

Compiled 123 to 26 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.2% of total)

ival-sqrt: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

ival-div: 3.0ms (8.3% of total)

ival-fabs: 3.0ms (8.3% of total)

const: 1.0ms (2.8% 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
▶	100.0%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (/.f64 b a)) a) #s(literal -1 binary64))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify177.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1676×	`+-lowering-+.f64`
1676×	`+-lowering-+.f32`
1616×	`fma-define`
1426×	`-lowering-.f32`
1426×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	48
1	15	43
2	22	35
3	30	35
4	39	35
5	57	35
6	106	35
7	334	35
8	691	35
9	1880	35
10	5797	35
0	8091	35

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 a))
b
(/ b a)
a
-1

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

localize36.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 b (/.f64 b a)) a) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (/.f64 b a)) a) #s(literal -1 binary64))))
✓	accuracy	99.8%	(*.f64 b (/.f64 b a))
✓	accuracy	74.0%	(/.f64 (*.f64 b (/.f64 b a)) a)

Results

24.0ms

256×

valid

Compiler

Compiled 51 to 10 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (34.8% of total)

ival-mult: 2.0ms (17.4% of total)

ival-fabs: 2.0ms (17.4% of total)

ival-sqrt: 2.0ms (17.4% of total)

ival-add: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

5 → 120

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 (* b (/ 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 (/ (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

30 calls:

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

rewrite292.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3350×	`-lowering-.f32`
3350×	`-lowering-.f64`
2274×	`/-lowering-/.f32`
2274×	`/-lowering-/.f64`
1784×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	45	37
2	342	29
3	4006	29
0	8522	29

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 193

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 a))

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

simplify214.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2178×	`-lowering-.f32`
2178×	`-lowering-.f64`
1568×	`sum5-define`
1190×	`fmsub-define`
1062×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	978
1	36	768
2	81	675
3	189	675
4	475	675
5	1142	675
6	3759	675
0	8164	675

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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 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 (- (/ (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 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)

eval39.0ms (0.4%)

Compiler: Compiled 6502 to 872 computations (86.6% saved)

prune30.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	311	3	314

Accuracy

100.0%

Counts

314 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 b (/.f64 a b)) (/.f64 a (.f64 b b))) (.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (*.f64 a a) b))))))
✓	100.0%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (/.f64 b a)) a) #s(literal -1 binary64))))
▶	97.3%	(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))

Status

Accuracy

Program

▶

72.9%

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

✓

100.0%

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

▶

97.3%

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

Compiler

Compiled 49 to 32 computations (34.7% saved)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

2092×	`sum3-define`
1840×	`-lowering-.f32`
1840×	`-lowering-.f64`
1370×	`fmsub-define`
1302×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	154
1	44	136
2	111	100
3	369	98
4	631	98
5	821	98
6	1025	98
7	1396	98
8	3615	98
0	8112	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (1.4%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 b (/.f64 (*.f64 a a) b))
✓	accuracy	78.4%	(/.f64 a (*.f64 b b))
✓	accuracy	73.3%	(/.f64 (*.f64 a a) b)
✓	accuracy	61.1%	(/.f64 (/.f64 (/.f64 b (/.f64 a b)) (/.f64 a (.f64 b b))) (.f64 a a))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 #s(literal -1 binary64)))
✓	accuracy	100.0%	(fabs.f64 #s(literal -1 binary64))

Results

97.0ms

256×

valid

Compiler

Compiled 180 to 21 computations (88.3% saved)

Precisions

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

ival-mult: 19.0ms (45.1% of total)

ival-div: 13.0ms (30.9% of total)

ival-sqrt: 4.0ms (9.5% of total)

ival-fabs: 3.0ms (7.1% of total)

ival-sub: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

const: 1.0ms (2.4% of total)

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

series14.0ms (0.2%)

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite351.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4910×	`/-lowering-/.f32`
4910×	`/-lowering-/.f64`
3308×	`-lowering-.f32`
3308×	`-lowering-.f64`
846×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	119
1	124	80
2	1199	71
0	8934	71

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 472

Calls

Call 1

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

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

simplify297.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2890×	`-lowering-.f32`
2890×	`-lowering-.f64`
1730×	`fmsub-define`
1712×	`fma-lowering-fma.f32`
1712×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2253
1	260	1898
2	788	1789
3	3247	1785
0	8467	1785

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval117.0ms (1.4%)

Compiler: Compiled 27388 to 2617 computations (90.4% saved)

prune102.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	662	2	664
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	664	3	667

Accuracy

100.0%

Counts

667 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

73.8%

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

✓

100.0%

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

▶

97.3%

#s(literal 1 binary64)

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify148.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2298×	`fnmadd-define`
1886×	`fma-define`
1516×	`sum3-define`
1482×	`fmsub-define`
1476×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	24	55
2	45	50
3	111	45
4	218	45
5	366	45
6	567	45
7	899	45
8	2613	45
9	6434	45
0	8056	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize59.0ms (0.7%)

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 b (/.f64 (*.f64 a a) b))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (*.f64 a a) b))))
✓	accuracy	99.7%	(/.f64 b (/.f64 (*.f64 a a) b))
✓	accuracy	73.3%	(/.f64 (*.f64 a a) b)

Results

45.0ms

256×

valid

Compiler

Compiled 68 to 12 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (37.5% of total)

ival-mult: 2.0ms (15% of total)

ival-fabs: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

const: 1.0ms (7.5% 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 a) b))))))>
#<alt (fabs (/ 1 (- -1 (/ b (/ (* a a) b)))))>
#<alt (/ 1 (- -1 (/ b (/ (* a a) b))))>
#<alt (- -1 (/ b (/ (* a a) b)))>
#<alt (/ (* a a) b)>
#<alt (/ b (/ (* a 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 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
1.0ms	a	@	inf	(/ 1 (- -1 (/ b (/ (* a a) b))))
0.0ms	b	@	inf	(/ 1 (- -1 (/ b (/ (* a a) b))))
0.0ms	a	@	0	(/ 1 (- -1 (/ b (/ (* a a) b))))
0.0ms	b	@	inf	(sqrt (fabs (/ 1 (- -1 (/ b (/ (* a a) b))))))
0.0ms	b	@	0	(sqrt (fabs (/ 1 (- -1 (/ b (/ (* a a) b))))))

rewrite317.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2456×	`-lowering-.f32`
2456×	`-lowering-.f64`
2056×	`/-lowering-/.f32`
2056×	`/-lowering-/.f64`
1960×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	62	49
2	428	40
3	4941	35
0	8065	35

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 355

Calls

Call 1

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

simplify282.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2184×	`+-lowering-+.f64`
2184×	`+-lowering-+.f32`
2176×	`-lowering-.f32`
2176×	`-lowering-.f64`
1524×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1503
1	246	1169
2	808	1046
3	2732	1042
0	8232	1042

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 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
(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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 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 b (/.f64 b (.f64 a a))))))
-1
#s(literal -1 binary64)
(- (/ (pow b 2) (pow a 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 b (/.f64 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 (.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 (.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 (.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 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 (.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 (.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 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 (.f64 a 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 (.f64 a 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 #s(literal -1 binary64) (.f64 b (/.f64 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 b (/.f64 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 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2)))))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(* -1 (/ (pow b 2) (pow a 2)))
(-.f64 #s(literal 0 binary64) (.f64 b (/.f64 b (.f64 a a))))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(/ (- (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(- (* -1 (/ (pow b 2) (pow a 2))) 1)
(-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 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 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)))

eval89.0ms (1%)

Compiler: Compiled 14907 to 1641 computations (89% saved)

prune48.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	499	3	502

Accuracy

100.0%

Counts

502 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

73.8%

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

✓

100.0%

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

✓

97.3%

#s(literal 1 binary64)

Compiler

Compiled 43 to 24 computations (44.2% saved)

simplify201.0ms (2.3%)

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

Rules

2306×	`-lowering-.f32`
2306×	`-lowering-.f64`
1764×	`/-lowering-/.f32`
1764×	`/-lowering-/.f64`
1480×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	27	56
2	48	51
3	112	46
4	231	46
5	488	46
6	2159	46
7	7978	46
0	8001	46

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize96.0ms (1.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (*.f64 a a) b))))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (.f64 a a) b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b (/.f64 (*.f64 a a) b)))))
✓	accuracy	99.7%	(/.f64 b (/.f64 (*.f64 a a) b))
✓	accuracy	73.3%	(/.f64 (*.f64 a a) b)

Results

51.0ms

256×

valid

Compiler

Compiled 91 to 13 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 8.0ms (41.1% of total)

ival-div: 6.0ms (30.8% of total)

ival-mult: 4.0ms (20.6% of total)

ival-sub: 1.0ms (5.1% of total)

const: 1.0ms (5.1% of total)

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

series107.0ms (1.2%)

Counts

6 → 144

Calls

Call 1

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

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
85.0ms	b	@	0	(pow (* (/ 1 (- -1 (/ b (/ (* a a) b)))) (/ 1 (- -1 (/ b (/ (* a a) b))))) 1/4)
16.0ms	a	@	0	(pow (* (/ 1 (- -1 (/ b (/ (* a a) b)))) (/ 1 (- -1 (/ b (/ (* a a) b))))) 1/4)
1.0ms	b	@	inf	(pow (* (/ 1 (- -1 (/ b (/ (* a a) b)))) (/ 1 (- -1 (/ b (/ (* a a) b))))) 1/4)
1.0ms	a	@	inf	(pow (* (/ 1 (- -1 (/ b (/ (* a a) b)))) (/ 1 (- -1 (/ b (/ (* a a) b))))) 1/4)
1.0ms	b	@	inf	(* (/ 1 (- -1 (/ b (/ (* a a) b)))) (/ 1 (- -1 (/ b (/ (* a a) b)))))

rewrite297.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2540×	`/-lowering-/.f32`
2540×	`/-lowering-/.f64`
1836×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	73	48
2	519	42
3	6022	37
0	8318	37

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 379

Calls

Call 1

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

simplify317.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5794×	`-lowering-.f32`
5794×	`-lowering-.f64`
2466×	`+-lowering-+.f64`
2466×	`+-lowering-+.f32`
1342×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	1877
1	837	1577
2	2818	1441
0	8027	1441

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

eval143.0ms (1.7%)

Compiler: Compiled 35791 to 2493 computations (93% saved)

prune148.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	873	3	876
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	874	5	879

Accuracy

100.0%

Counts

879 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(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 b (/.f64 a (/.f64 b a))))) #s(literal 1/4 binary64))
	98.2%	(pow.f64 (*.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))
	97.9%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a)) a))
✓	100.0%	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 (*.f64 b (/.f64 b a)) a) #s(literal -1 binary64))))
✓	97.3%	#s(literal 1 binary64)

Compiler

Compiled 229 to 92 computations (59.8% saved)

regimes37.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
4.0ms	b
4.0ms	a
3.0ms	(*.f64 a a)
3.0ms	(*.f64 b b)

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)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(pow.f64 (*.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))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`a`
98.2%	1	`b`
98.2%	1	`(*.f64 a a)`
98.2%	1	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`a`
97.9%	1	`b`
97.9%	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
97.3%	1	`a`
97.3%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	30	44

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.4s (27.7%)

Rules

5794×	`-lowering-.f32`
5794×	`-lowering-.f64`
4910×	`/-lowering-/.f32`
4910×	`/-lowering-/.f64`
3350×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	73	48
2	519	42
3	6022	37
0	8318	37
0	9	42
1	45	37
2	342	29
3	4006	29
0	8522	29
0	20	119
1	124	80
2	1199	71
0	8934	71
0	19	978
1	36	768
2	81	675
3	189	675
4	475	675
5	1142	675
6	3759	675
0	8164	675
0	91	2253
1	260	1898
2	788	1789
3	3247	1785
0	8467	1785
0	8	10
1	28	9
2	74	8
3	212	8
4	540	8
5	2106	8
0	8308	8
0	257	1877
1	837	1577
2	2818	1441
0	8027	1441
0	11	49
1	62	49
2	428	40
3	4941	35
0	8065	35

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 155 to 103 computations (33.5% saved)

preprocess54.0ms (0.6%)

Remove

(abs b)

(abs a)

Compiler

Compiled 226 to 132 computations (41.6% saved)

analyze18.0ms (0.2%)

sample1.5s (17.4%)

preprocess267.0ms (3.1%)

explain107.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify177.0ms (2.1%)

localize36.0ms (0.4%)

series7.0ms (0.1%)

rewrite292.0ms (3.4%)

simplify214.0ms (2.5%)

eval39.0ms (0.4%)

prune30.0ms (0.3%)

simplify162.0ms (1.9%)

localize122.0ms (1.4%)

series14.0ms (0.2%)

rewrite351.0ms (4.1%)

simplify297.0ms (3.4%)

eval117.0ms (1.4%)

prune102.0ms (1.2%)

simplify148.0ms (1.7%)

localize59.0ms (0.7%)

series5.0ms (0.1%)

rewrite317.0ms (3.7%)

simplify282.0ms (3.3%)

eval89.0ms (1%)

prune48.0ms (0.6%)

simplify201.0ms (2.3%)

localize96.0ms (1.1%)

series107.0ms (1.2%)

rewrite297.0ms (3.4%)

simplify317.0ms (3.7%)

eval143.0ms (1.7%)

prune148.0ms (1.7%)

regimes37.0ms (0.4%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness2.4s (27.7%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling