Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze12.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms 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 (27.5%)

Memory

23.1MiB live, 970.4MiB allocated; 229ms collecting garbage

Samples

960.0ms	8 256×	0	valid
110.0ms	785×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 756.0ms

ival-mult: 172.0ms (22.8% of total)

ival-fabs: 157.0ms (20.8% of total)

ival-sqrt: 136.0ms (18% of total)

ival-<=: 121.0ms (16% of total)

ival-div: 96.0ms (12.7% of total)

ival-sub: 38.0ms (5% of total)

ival-and: 19.0ms (2.5% of total)

exact: 11.0ms (1.5% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain160.0ms (3.1%)

Memory

-23.3MiB live, 126.1MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

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

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	52	0
↳	`(*.f64 b b)`	underflow	179
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	52
↳	`(*.f64 a a)`	underflow	52
↳	`(*.f64 a a)`	underflow	52

Confusion

	Predicted +	Predicted -
+	52	0
-	0	204

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	0	0	204

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (39.6% of total)

ival-div: 3.0ms (17% of total)

ival-sqrt: 3.0ms (17% of total)

ival-sub: 2.0ms (11.3% of total)

ival-fabs: 2.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess118.0ms (2.3%)

Memory

-6.1MiB live, 150.2MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	88	57
2	586	57
3	3099	57
0	8	13
0	14	13
1	37	11
2	204	11
3	1434	11
0	8739	10

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify103.0ms (2%)

Memory

9.6MiB live, 152.5MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
cost-diff	1	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
cost-diff	2	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	37	45
2	204	45
3	1434	45
0	8739	43

Stop Event

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

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

localize24.0ms (0.5%)

Memory

-6.4MiB live, 40.5MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	12.593901832989783	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

17.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 5.0ms (46.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

5 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify144.0ms (2.7%)

Memory

-31.0MiB live, 157.0MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite105.0ms (2%)

Memory

44.9MiB live, 173.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	46
0	14	45
1	60	39
2	560	29
0	9127	28

Stop Event

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

Counts

5 → 423

Calls

Call 1

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

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

eval122.0ms (2.3%)

Memory: 9.1MiB live, 127.0MiB allocated; 44ms collecting garbage
Compiler: Compiled 6 807 to 1 412 computations (79.3% saved)

prune5.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	326	4	330
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	327	4	331

Accuracy

100.0%

Counts

331 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) a)) (sqrt.f64 (/.f64 (-.f64 a b) a)))
▶	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
▶	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 64 to 42 computations (34.4% saved)

simplify306.0ms (5.8%)

Memory

32.1MiB live, 189.5MiB allocated; 131ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	213
0	50	210
1	105	196
2	351	193
3	2190	193
0	8483	193

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (2.5%)

Memory

-3.4MiB live, 96.4MiB allocated; 73ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 (/.f64 (+.f64 b a) a))
accuracy	0.01953125	(/.f64 (+.f64 b a) a)
accuracy	0.0234375	(/.f64 (-.f64 a b) a)
accuracy	0.03515625	(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) a)) (sqrt.f64 (/.f64 (-.f64 a b) a)))
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
accuracy	12.593901832989783	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	0.9637143995325658	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.00390625	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.234375	(/.f64 (/.f64 b a) a)

Samples

109.0ms

256×

valid

Compiler

Compiled 191 to 28 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-sub: 62.0ms (64.7% of total)

ival-mult: 13.0ms (13.6% of total)

ival-div: 9.0ms (9.4% of total)

ival-sqrt: 6.0ms (6.3% of total)

ival-fabs: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory

-5.6MiB live, 41.1MiB allocated; 4ms collecting garbage

Counts

18 → 94

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (/ b a) a) (* a a) (/ (- a b) a))
7.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (/ b a) a) (* a a) (/ (- a b) a))
4.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (/ b a) a) (* a a) (/ (- a b) a))
4.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (/ b a) a) (* a a) (/ (- a b) a))
4.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (/ b a) a) (* a a) (/ (- a b) a))

simplify125.0ms (2.4%)

Memory

8.0MiB live, 148.7MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	408	1612
1	1378	1093
2	7452	1083
0	8043	1025

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 92

Calls

Call 1

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

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

rewrite204.0ms (3.9%)

Memory

12.0MiB live, 204.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	187
0	50	184
1	184	166
2	1363	131
0	8815	131

Stop Event

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

Counts

18 → 1 167

Calls

Call 1

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

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

eval264.0ms (5%)

Memory: 24.8MiB live, 261.6MiB allocated; 145ms collecting garbage
Compiler: Compiled 27 172 to 4 284 computations (84.2% saved)

prune31.0ms (0.6%)

Memory

10.6MiB live, 74.8MiB allocated; 23ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	961	3	964
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	963	5	968

Accuracy

100.0%

Counts

968 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
✓	99.9%	(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) a)) (sqrt.f64 (/.f64 (-.f64 a b) a)))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	99.3%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
▶	98.5%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 86 to 58 computations (32.6% saved)

simplify156.0ms (3%)

Memory

-25.7MiB live, 109.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	108
0	34	108
1	58	108
2	131	108
3	483	108
4	2450	108
0	8249	108

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.4%)

Memory

20.1MiB live, 68.8MiB allocated; 20ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 b a) (-.f64 b a))
accuracy	0.0	(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
accuracy	0.00390625	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
accuracy	12.411969693118268	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) b)
accuracy	0.234375	(/.f64 (/.f64 b a) a)
accuracy	0.4395160670167011	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
accuracy	0.9287207503114732	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Samples

64.0ms

256×

valid

Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions

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

ival-fabs: 18.0ms (43% of total)

ival-div: 8.0ms (19.1% of total)

ival-mult: 6.0ms (14.3% of total)

ival-sqrt: 5.0ms (11.9% of total)

ival-add: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

10 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 b) (/ (/ b a) a) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b a))
3.0ms	b	@	inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 b) (/ (/ b a) a) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b a))
2.0ms	a	@	-inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 b) (/ (/ b a) a) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b a))
2.0ms	a	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 b) (/ (/ b a) a) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b a))
2.0ms	b	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 b) (/ (/ b a) a) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b a))

simplify175.0ms (3.3%)

Memory

-11.2MiB live, 178.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	766
1	920	508
2	5751	473
0	8295	457

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

rewrite127.0ms (2.4%)

Memory

18.4MiB live, 109.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
0	34	92
1	119	92
2	757	80
0	8550	78

Stop Event

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

Counts

10 → 554

Calls

Call 1

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

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

eval59.0ms (1.1%)

Memory: 2.3MiB live, 48.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 10 286 to 1 511 computations (85.3% saved)

prune175.0ms (3.3%)

Memory

-30.6MiB live, 22.4MiB allocated; 234ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	364	2	366
Fresh	0	0	0
Picked	0	3	3
Done	1	1	2
Total	365	6	371

Accuracy

100.0%

Counts

371 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (fabs.f64 (+.f64 a b)))) a)
✓	80.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	99.3%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
▶	79.6%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
✓	98.5%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 110 to 75 computations (31.8% saved)

simplify119.0ms (2.3%)

Memory

-1.9MiB live, 53.8MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	37	99
1	65	99
2	144	99
3	388	99
4	1056	99
5	2018	99
6	3076	99
7	3737	99
8	4435	99
9	4810	99
10	5014	99
11	5098	99
12	5182	99
13	5182	99
0	5182	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.2%)

Memory

2.8MiB live, 49.5MiB allocated; 1ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (fabs.f64 (+.f64 a b)))) a)
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (-.f64 b a)))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (+.f64 a b)))
accuracy	0.515625	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (fabs.f64 (+.f64 a b))))
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) b)
accuracy	0.4395160670167011	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
accuracy	12.696039155417331	(/.f64 b (*.f64 a a))

Samples

50.0ms

256×

valid

Compiler

Compiled 91 to 26 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 15.0ms (38.1% of total)

ival-mult: 7.0ms (17.8% of total)

ival-div: 6.0ms (15.2% of total)

ival-sqrt: 6.0ms (15.2% of total)

ival-fabs: 2.0ms (5.1% of total)

ival-sub: 2.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

10 → 44

Calls

Call 1

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

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

Calls

6 calls:

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

simplify192.0ms (3.7%)

Memory

-16.0MiB live, 122.1MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	798
1	765	540
2	4222	506
0	8450	488

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 44

Calls

Call 1

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

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

rewrite150.0ms (2.9%)

Memory

14.0MiB live, 104.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	83
0	37	80
1	138	78
2	949	67
0	8632	65

Stop Event

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

Counts

10 → 267

Calls

Call 1

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

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

eval85.0ms (1.6%)

Memory: -5.0MiB live, 50.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 925 to 1 295 computations (85.5% saved)

prune7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	294	1	295
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	295	6	301

Accuracy

100.0%

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (+.f64 a b))) a)
✓	80.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	99.3%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
✓	79.6%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
✓	98.5%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 285 to 139 computations (51.2% saved)

regimes42.0ms (0.8%)

Memory

-15.6MiB live, 31.5MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)
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)

regimes14.0ms (0.3%)

Memory

-23.2MiB live, 24.0MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes9.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Accuracy

Total -12.3b remaining (-1321.5%)

Threshold costs -12.3b (-1321.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

1.0ms	a
1.0ms	b
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
1.0ms	(*.f64 a a)
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f64 b b)`
98.5%	1	`(*.f64 a a)`
98.5%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.5%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.5%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.5%	1	`a`
98.5%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify53.0ms (1%)

Memory

-4.0MiB live, 42.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	62
1	59	60
2	231	60
3	1458	60

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations355.0ms (6.8%)

Memory

0.6MiB live, 140.8MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	46
0	14	45
1	60	39
2	560	29
0	9127	28
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101
0	408	1612
1	1378	1093
2	7452	1083
0	8043	1025

Stop Event

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

Compiler

Compiled 62 to 27 computations (56.5% saved)

preprocess22.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 242 to 126 computations (47.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.2%)

sample1.4s (27.5%)

explain160.0ms (3.1%)

preprocess118.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify103.0ms (2%)

localize24.0ms (0.5%)

series6.0ms (0.1%)

simplify144.0ms (2.7%)

rewrite105.0ms (2%)

eval122.0ms (2.3%)

prune5.0ms (0.1%)

simplify306.0ms (5.8%)

localize132.0ms (2.5%)

series31.0ms (0.6%)

simplify125.0ms (2.4%)

rewrite204.0ms (3.9%)

eval264.0ms (5%)

prune31.0ms (0.6%)

simplify156.0ms (3%)

localize75.0ms (1.4%)

series14.0ms (0.3%)

simplify175.0ms (3.3%)

rewrite127.0ms (2.4%)

eval59.0ms (1.1%)

prune175.0ms (3.3%)

simplify119.0ms (2.3%)

localize65.0ms (1.2%)

series13.0ms (0.3%)

simplify192.0ms (3.7%)

rewrite150.0ms (2.9%)

eval85.0ms (1.6%)

prune7.0ms (0.1%)

regimes42.0ms (0.8%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

simplify53.0ms (1%)

derivations355.0ms (6.8%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling