Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze43.0ms (1.9%)

Memory

2.4MiB live, 45.5MiB allocated; 10ms collecting garbage

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%	62.5%	0%	18.7%	0%	2
0%	0%	9.4%	62.5%	0%	28.1%	0%	3
0%	0%	9.4%	62.5%	0%	28.1%	0%	4
0%	0%	7%	62.5%	0%	30.4%	0%	5
20%	1.2%	4.7%	62.5%	0%	31.6%	0%	6
25%	1.2%	3.5%	62.5%	0%	32.8%	0%	7
40%	1.8%	2.6%	62.5%	0%	33.1%	0%	8
51.9%	2%	1.9%	62.5%	0%	33.5%	0%	9
64.7%	2.4%	1.3%	62.5%	0%	33.7%	0%	10
72.9%	2.6%	1%	62.5%	0%	33.9%	0%	11
80.2%	2.7%	0.7%	62.5%	0%	34%	0%	12

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.4s (61.6%)

Memory

5.1MiB live, 1 700.8MiB allocated; 341ms collecting garbage

Samples

877.0ms	8 256×	0	valid
71.0ms	806×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 675.0ms

ival-mult: 261.0ms (38.7% of total)

ival-sqrt: 124.0ms (18.4% of total)

ival-div: 117.0ms (17.3% of total)

ival-sub: 61.0ms (9% of total)

ival-fabs: 56.0ms (8.3% of total)

ival-<=: 45.0ms (6.7% of total)

ival-assert: 4.0ms (0.6% of total)

ival-and: 4.0ms (0.6% of total)

adjust: 3.0ms (0.4% of total)

Bogosity

explain127.0ms (5.5%)

Memory

-12.6MiB live, 182.6MiB allocated; 39ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
56	-	1	(2.2022038807127295e-158 4.5445902143566e-162)	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
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)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`	u/u	55	0
↳	`(*.f64 b b)`	underflow	193
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	55
↳	`(*.f64 a a)`	underflow	55
↳	`(*.f64 a a)`	underflow	55

Confusion

	Predicted +	Predicted -
+	55	1
-	0	200

Precision

1.0

Recall

0.9821428571428571

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	1
-	0	0	200

Precision?

1.0

Recall?

0.9821428571428571

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sqrt: 17.0ms (50.7% of total)

ival-mult: 7.0ms (20.9% of total)

ival-div: 3.0ms (9% of total)

ival-fabs: 3.0ms (9% of total)

ival-sub: 2.0ms (6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess114.0ms (4.9%)

Memory

31.1MiB live, 176.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	99	68
2	621	68
3	5836	68
0	8	13
0	14	13
1	37	11
2	204	11
3	2138	11
0	8528	11

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs a)

(abs b)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.4%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series15.0ms (0.7%)

Memory

-34.5MiB live, 11.7MiB allocated; 4ms collecting garbage

Counts

8 → 17

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
2.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
2.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)

rewrite73.0ms (3.2%)

Memory

25.4MiB live, 71.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	332
0	64	323
1	224	292
0	1833	292

Stop Event

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

Counts

25 → 166

Calls

Call 1

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

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

eval26.0ms (1.1%)

Memory: -14.7MiB live, 31.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 682 to 937 computations (74.6% saved)

prune6.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	206	5	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	5	212

Accuracy

100.0%

Counts

212 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (.f64 b b) (.f64 a a)))) (fabs.f64 a))
▶	78.4%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
▶	77.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 b a) (/.f64 (-.f64 a b) (.f64 a a)))))
▶	98.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 126 to 92 computations (27% saved)

series37.0ms (1.6%)

Memory

-13.4MiB live, 36.0MiB allocated; 4ms collecting garbage

Counts

31 → 80

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (* (/ b a) (/ b a)) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* (/ b a) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* (neg a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (neg a) a) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (- (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (- (* b b) (* a a)))) #s(hole binary64 (sqrt (fabs (- (pow b 2) (pow a 2))))))
#s(approx (fabs (- (* b b) (* a a))) #s(hole binary64 (fabs (- (pow b 2) (pow a 2)))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 1))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 1))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ 1 a)))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (* (+ b a) (/ (- a b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (+ b a) (/ (- a b) (* a a)))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) (* a a)) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	((sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) (sqrt (fabs (- (* b b) (* a a)))) (fabs (- (* b b) (* a a))) (- (* b b) (* a a)) (* a a) (fabs a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) (/ (- a b) (* a a)) (- a b))
6.0ms	a	@	inf	((sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) (sqrt (fabs (- (* b b) (* a a)))) (fabs (- (* b b) (* a a))) (- (* b b) (* a a)) (* a a) (fabs a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) (/ (- a b) (* a a)) (- a b))
5.0ms	a	@	0	((sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) (sqrt (fabs (- (* b b) (* a a)))) (fabs (- (* b b) (* a a))) (- (* b b) (* a a)) (* a a) (fabs a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) (/ (- a b) (* a a)) (- a b))
4.0ms	a	@	-inf	((sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) (sqrt (fabs (- (* b b) (* a a)))) (fabs (- (* b b) (* a a))) (- (* b b) (* a a)) (* a a) (fabs a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) (/ (- a b) (* a a)) (- a b))
4.0ms	b	@	-inf	((sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a 1 (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg a) -1 (/ (sqrt (fabs (- (* b b) (* a a)))) (fabs a)) (sqrt (fabs (- (* b b) (* a a)))) (fabs (- (* b b) (* a a))) (- (* b b) (* a a)) (* a a) (fabs a) (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) (/ (- a b) (* a a)) (- a b))

rewrite56.0ms (2.4%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1666
0	293	1517
0	1147	1517

Stop Event

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

Counts

111 → 194

Calls

Call 1

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

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

eval28.0ms (1.2%)

Memory: -13.2MiB live, 32.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 926 to 903 computations (77% saved)

prune8.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	233	3	236
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	236	5	241

Accuracy

100.0%

Counts

241 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.9%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a))
▶	78.4%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
▶	79.2%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 (neg.f64 a) a))) #s(literal -1 binary64))))
✓	98.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 61 to 46 computations (24.6% saved)

series20.0ms (0.9%)

Memory

-28.3MiB live, 18.7MiB allocated; 2ms collecting garbage

Counts

24 → 63

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (* b (/ b (* (neg a) a))) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* b (/ b (* (neg a) a))) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- (* b (/ b (* (neg a) a))) -1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (* b (/ b (* (neg a) a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ b (* (neg a) a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (* (neg a) a) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (fabs (- (/ (* b b) (* a a)) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (/ (* b b) (* a a)) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (/ (* b b) (* a a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (* (+ a b) (- a b)))))))
#s(approx (sqrt (fabs (* (- a b) (+ a b)))) #s(hole binary64 (sqrt (fabs (* (+ a b) (- a b))))))
#s(approx (fabs (* (- a b) (+ a b))) #s(hole binary64 (fabs (* (+ a b) (- a b)))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx (- (* b (/ b (* (neg a) a))) -1) #s(hole binary64 1))
#s(approx (- (* b (/ b (* (neg a) a))) -1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))))
#s(approx (sqrt (fabs (* (- a b) (+ a b)))) #s(hole binary64 (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
#s(approx (fabs (* (- a b) (+ a b))) #s(hole binary64 (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (* b (/ b (* (neg a) a))) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* b (/ b (* (neg a) a))) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (/ (* b b) (* a a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) #s(hole binary64 (* (/ 1 (fabs a)) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))))
#s(approx (sqrt (fabs (* (- a b) (+ a b)))) #s(hole binary64 (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))))
#s(approx (fabs (* (- a b) (+ a b))) #s(hole binary64 (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) (fabs (- (* b (/ b (* (neg a) a))) -1)) (- (* b (/ b (* (neg a) a))) -1) (* b (/ b (* (neg a) a))) b (/ b (* (neg a) a)) (* (neg a) a) (neg a) a -1 (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 a) 1 (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) (sqrt (fabs (* (- a b) (+ a b)))) (fabs (* (- a b) (+ a b))) (* (- a b) (+ a b)) (- a b) (+ a b) (fabs a))
3.0ms	a	@	inf	((sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) (fabs (- (* b (/ b (* (neg a) a))) -1)) (- (* b (/ b (* (neg a) a))) -1) (* b (/ b (* (neg a) a))) b (/ b (* (neg a) a)) (* (neg a) a) (neg a) a -1 (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 a) 1 (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) (sqrt (fabs (* (- a b) (+ a b)))) (fabs (* (- a b) (+ a b))) (* (- a b) (+ a b)) (- a b) (+ a b) (fabs a))
3.0ms	b	@	inf	((sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) (fabs (- (* b (/ b (* (neg a) a))) -1)) (- (* b (/ b (* (neg a) a))) -1) (* b (/ b (* (neg a) a))) b (/ b (* (neg a) a)) (* (neg a) a) (neg a) a -1 (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 a) 1 (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) (sqrt (fabs (* (- a b) (+ a b)))) (fabs (* (- a b) (+ a b))) (* (- a b) (+ a b)) (- a b) (+ a b) (fabs a))
3.0ms	b	@	-inf	((sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) (fabs (- (* b (/ b (* (neg a) a))) -1)) (- (* b (/ b (* (neg a) a))) -1) (* b (/ b (* (neg a) a))) b (/ b (* (neg a) a)) (* (neg a) a) (neg a) a -1 (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 a) 1 (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) (sqrt (fabs (* (- a b) (+ a b)))) (fabs (* (- a b) (+ a b))) (* (- a b) (+ a b)) (- a b) (+ a b) (fabs a))
3.0ms	a	@	0	((sqrt (fabs (- (* b (/ b (* (neg a) a))) -1))) (fabs (- (* b (/ b (* (neg a) a))) -1)) (- (* b (/ b (* (neg a) a))) -1) (* b (/ b (* (neg a) a))) b (/ b (* (neg a) a)) (* (neg a) a) (neg a) a -1 (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 a) 1 (/ (sqrt (fabs (* (- a b) (+ a b)))) (fabs a)) (sqrt (fabs (* (- a b) (+ a b)))) (fabs (* (- a b) (+ a b))) (* (- a b) (+ a b)) (- a b) (+ a b) (fabs a))

rewrite59.0ms (2.5%)

Memory

-8.9MiB live, 36.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	1244
0	253	1152
0	1139	1152

Stop Event

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

Counts

87 → 145

Calls

Call 1

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

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

eval20.0ms (0.9%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 740 to 698 computations (74.5% saved)

prune6.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	165	4	169

Accuracy

100.0%

Counts

169 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.9%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
▶	79.2%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
✓	98.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series7.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

9 → 12

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (- (* b (/ b (* a a))) 1))) #s(hole binary64 (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))))
#s(approx (fabs (- (* b (/ b (* a a))) 1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* b (/ b (* a a))) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b (* a a)) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 -1))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (- (* b (/ b (* a a))) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	((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 a)) (* a a) a 1)
1.0ms	b	@	inf	((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 a)) (* a a) a 1)
1.0ms	a	@	inf	((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 a)) (* a a) a 1)
1.0ms	a	@	-inf	((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 a)) (* a a) a 1)
1.0ms	a	@	0	((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 a)) (* a a) a 1)

rewrite58.0ms (2.5%)

Memory

-22.2MiB live, 35.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	226
0	52	221
1	180	220
0	1105	220

Stop Event

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

Counts

21 → 104

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: 19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 670 to 516 computations (69.1% saved)

prune30.0ms (1.3%)

Memory

-34.8MiB live, 12.0MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	108	4	112

Accuracy

100.0%

Counts

112 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.9%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 a b)))) (fabs.f64 a))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
✓	79.2%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))))
✓	98.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 171 to 94 computations (45% saved)

regimes19.0ms (0.8%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes22.0ms (0.9%)

Memory

-20.6MiB live, 25.7MiB allocated; 3ms collecting garbage

Accuracy

Total -14.2b remaining (-1899.2%)

Threshold costs -14.2b (-1899.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 b b)`
98.8%	1	`(*.f64 a a)`
98.8%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.8%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.8%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.8%	1	`a`
98.8%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify48.0ms (2%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	43	24
2	212	24
3	1368	24
4	5592	24

Stop Event

1×	node limit

Calls

Call 1

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

Outputs

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

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

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

derivations11.0ms (0.5%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 26 to 16 computations (38.5% saved)

preprocess47.0ms (2%)

Memory

-22.7MiB live, 23.8MiB allocated; 2ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 166 to 112 computations (32.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze43.0ms (1.9%)

sample1.4s (61.6%)

explain127.0ms (5.5%)

preprocess114.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.7%)

rewrite73.0ms (3.2%)

eval26.0ms (1.1%)

prune6.0ms (0.2%)

series37.0ms (1.6%)

rewrite56.0ms (2.4%)

eval28.0ms (1.2%)

prune8.0ms (0.3%)

series20.0ms (0.9%)

rewrite59.0ms (2.5%)

eval20.0ms (0.9%)

prune6.0ms (0.2%)

series7.0ms (0.3%)

rewrite58.0ms (2.5%)

eval13.0ms (0.6%)

prune30.0ms (1.3%)

regimes19.0ms (0.8%)

regimes22.0ms (0.9%)

simplify48.0ms (2%)

derivations11.0ms (0.5%)

preprocess47.0ms (2%)

end0.0ms (0%)

Profiling