Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze12.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB 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 (24.4%)

Memory

96.1MiB live, 1 209.3MiB allocated; 406ms collecting garbage

Samples

965.0ms	8 256×	0	valid
52.0ms	774×	0	invalid

Precisions

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

ival-mult: 339.0ms (45.2% of total)

ival-<=: 127.0ms (16.9% of total)

ival-sqrt: 93.0ms (12.4% of total)

ival-sub: 66.0ms (8.8% of total)

ival-div: 52.0ms (6.9% of total)

ival-fabs: 40.0ms (5.3% of total)

ival-and: 18.0ms (2.4% of total)

exact: 10.0ms (1.3% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain151.0ms (2.6%)

Memory

-22.8MiB live, 117.0MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.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	58	0
↳	`(*.f64 b b)`	underflow	172
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	58
↳	`(*.f64 a a)`	underflow	58
↳	`(*.f64 a a)`	underflow	58

Confusion

	Predicted +	Predicted -
+	58	0
-	0	198

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	0	0	198

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	198
1	58

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: 17.0ms

ival-mult: 6.0ms (34.5% of total)

ival-div: 3.0ms (17.3% of total)

ival-sqrt: 3.0ms (17.3% of total)

ival-sub: 2.0ms (11.5% of total)

ival-fabs: 2.0ms (11.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess223.0ms (3.8%)

Memory

14.3MiB live, 122.1MiB allocated; 111ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify116.0ms (2%)

Memory

-2.4MiB live, 85.8MiB allocated; 8ms 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

localize43.0ms (0.7%)

Memory

-15.8MiB live, 39.4MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.01953125	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	14.076663321063569	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.5% of total)

ival-sqrt: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.8% of total)

ival-div: 1.0ms (11.8% of total)

ival-fabs: 1.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

4 → 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))

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))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 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	@	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)))
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)))
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)))
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)))
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)))

simplify126.0ms (2.2%)

Memory

31.2MiB live, 167.8MiB allocated; 8ms 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))
1
(+ 1 (* -1 (/ (pow b 2) (pow a 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))
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)
(*.f64 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)

rewrite90.0ms (1.5%)

Memory

-7.3MiB live, 90.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	42
1	60	36
2	560	26
0	9127	25

Stop Event

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

Counts

4 → 403

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))

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))

eval71.0ms (1.2%)

Memory: 7.2MiB live, 53.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 154 to 1 251 computations (79.7% saved)

prune12.0ms (0.2%)

Memory

-25.3MiB live, 18.2MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	281	8	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	282	8	290

Accuracy

100.0%

Counts

290 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.3%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
	4.2%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (.f64 (neg.f64 b) b)) (.f64 a a))))
▶	76.8%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	76.8%	(sqrt.f64 (fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))))
	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
▶	96.7%	(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)))))
▶	100.0%	(sin.f64 (acos.f64 (/.f64 b a)))

Compiler

Compiled 250 to 166 computations (33.6% saved)

simplify114.0ms (2%)

Memory

-15.9MiB live, 80.9MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (+.f64 b a))
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))))
cost-diff	1	(fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a))))
cost-diff	4	(.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))
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)))))
cost-diff	0	(-.f64 a b)
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
cost-diff	1	(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
cost-diff	2	(.f64 (-.f64 a b) (/.f64 (+.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	(/.f64 b a)
cost-diff	0	(acos.f64 (/.f64 b a))
cost-diff	0	(sin.f64 (acos.f64 (/.f64 b a)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	253
0	59	251
1	120	227
2	437	219
3	2721	219
0	8421	219

Stop Event

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

Calls

Call 1

Inputs
(sin.f64 (acos.f64 (/.f64 b a)))
(acos.f64 (/.f64 b a))
(/.f64 b a)
b
a
(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 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
(-.f64 a b)
a
b
(/.f64 (+.f64 b a) (*.f64 a a))
(+.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)))))
#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 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))))
(fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a))))
(.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))
(fabs.f64 (+.f64 b a))
(+.f64 b a)
b
a
(/.f64 (fabs.f64 (-.f64 b a)) (*.f64 a a))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
(*.f64 a a)

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

localize122.0ms (2.1%)

Memory

34.2MiB live, 119.2MiB allocated; 12ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a))))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))))
accuracy	0.203125	(.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))
accuracy	14.508408380950643	(/.f64 (fabs.f64 (-.f64 b a)) (*.f64 a a))
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	0.01953125	(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	0.21484375	(/.f64 (/.f64 b a) a)
accuracy	0.0	(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
accuracy	0.1953125	(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
accuracy	14.527938989043035	(/.f64 (+.f64 b a) (*.f64 a a))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	2.208518225204898	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 b a)
accuracy	0.00390625	(sin.f64 (acos.f64 (/.f64 b a)))
accuracy	0.00390625	(acos.f64 (/.f64 b a))

Samples

104.0ms

256×

valid

Compiler

Compiled 231 to 32 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 48.0ms (54.1% of total)

ival-sin: 13.0ms (14.7% of total)

ival-div: 9.0ms (10.2% of total)

ival-fabs: 6.0ms (6.8% of total)

ival-sqrt: 4.0ms (4.5% of total)

ival-sub: 3.0ms (3.4% of total)

ival-add: 2.0ms (2.3% of total)

ival-acos: 2.0ms (2.3% 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)

series51.0ms (0.9%)

Memory

1.0MiB live, 52.8MiB allocated; 21ms collecting garbage

Counts

21 → 57

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	b	@	0	((sin (acos (/ b a))) (acos (/ b a)) (/ b a) (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) (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) (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))) (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a)))) (sqrt (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))))) (fabs (+ b a)) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (fabs (- b a)) (* a a)))
8.0ms	b	@	inf	((sin (acos (/ b a))) (acos (/ b a)) (/ b a) (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) (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) (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))) (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a)))) (sqrt (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))))) (fabs (+ b a)) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (fabs (- b a)) (* a a)))
5.0ms	a	@	inf	((sin (acos (/ b a))) (acos (/ b a)) (/ b a) (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) (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) (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))) (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a)))) (sqrt (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))))) (fabs (+ b a)) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (fabs (- b a)) (* a a)))
5.0ms	b	@	-inf	((sin (acos (/ b a))) (acos (/ b a)) (/ b a) (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) (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) (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))) (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a)))) (sqrt (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))))) (fabs (+ b a)) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (fabs (- b a)) (* a a)))
4.0ms	a	@	0	((sin (acos (/ b a))) (acos (/ b a)) (/ b a) (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) (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) (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))) (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a)))) (sqrt (fabs (* (fabs (+ b a)) (/ (fabs (- b a)) (* a a))))) (fabs (+ b a)) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (fabs (- b a)) (* a a)))

simplify136.0ms (2.3%)

Memory

-7.8MiB live, 182.5MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	490
1	350	436
2	1253	435
3	5850	433
0	8182	413

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

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

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

rewrite137.0ms (2.3%)

Memory

6.1MiB live, 143.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	221
0	59	195
1	205	155
2	1560	148
0	8822	148

Stop Event

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

Counts

21 → 1 597

Calls

Call 1

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

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

eval142.0ms (2.4%)

Memory: 13.3MiB live, 154.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 21 060 to 3 653 computations (82.7% saved)

prune28.0ms (0.5%)

Memory

-8.2MiB live, 37.7MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	808	6	814
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	814	8	822

Accuracy

100.0%

Counts

822 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
	99.3%	(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) a) (sqrt.f64 (+.f64 a b)))
▶	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))))
✓	76.8%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	94.2%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) 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)))))
▶	78.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
▶	96.7%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 214 to 145 computations (32.2% saved)

simplify144.0ms (2.5%)

Memory

4.4MiB live, 104.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(fma.f64 (neg.f64 b) b (*.f64 a a))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
cost-diff	0	(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 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 b (*.f64 a a)) b #s(literal -1 binary64)))))
cost-diff	0	(-.f64 a b)
cost-diff	0	(.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))
cost-diff	0	(fabs.f64 (.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a))))
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
cost-diff	0	(fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))))
cost-diff	3	(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	260
0	61	266
1	122	258
2	414	239
3	2220	239
0	9437	239

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (2%)

Memory

-10.3MiB live, 81.4MiB allocated; 4ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 b)
accuracy	0.01953125	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	0.03125	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
accuracy	14.318379464899506	(sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.01953125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	14.613558209245745	(/.f64 b (*.f64 a a))
accuracy	0.0	(fabs.f64 (.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a))))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))))
accuracy	0.1953125	(.f64 (-.f64 a b) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))
accuracy	3.645283222272806	#s(approx (/ (+ b a) (* a a)) (/.f64 #s(literal 1 binary64) a))
accuracy	0.01953125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
accuracy	2.208518225204898	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (/.f64 b a) #s(literal 1 binary64))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))))
accuracy	0.03125	(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
accuracy	0.203125	(*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))

Samples

72.0ms

256×

valid

Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions

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

ival-div: 10.0ms (27.1% of total)

ival-mult: 8.0ms (21.6% of total)

ival-sqrt: 6.0ms (16.2% of total)

ival-add: 4.0ms (10.8% of total)

ival-fabs: 4.0ms (10.8% of total)

ival-sub: 3.0ms (8.1% of total)

ival-neg: 1.0ms (2.7% 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)

series21.0ms (0.4%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

21 → 106

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	((* (/ (- (/ b a) 1) a) (+ a b)) (sqrt (fabs (* (/ (- (/ b a) 1) a) (+ a b)))) (fabs (* (/ (- (/ b a) 1) a) (+ a b))) (/ (- (/ b a) 1) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (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 (+ (* (neg b) b) (* a a))) a) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (- (/ b a) 1) (/ (+ b a) (* a a)) (/ b (* a a)))
4.0ms	b	@	-inf	((* (/ (- (/ b a) 1) a) (+ a b)) (sqrt (fabs (* (/ (- (/ b a) 1) a) (+ a b)))) (fabs (* (/ (- (/ b a) 1) a) (+ a b))) (/ (- (/ b a) 1) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (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 (+ (* (neg b) b) (* a a))) a) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (- (/ b a) 1) (/ (+ b a) (* a a)) (/ b (* a a)))
3.0ms	a	@	0	((* (/ (- (/ b a) 1) a) (+ a b)) (sqrt (fabs (* (/ (- (/ b a) 1) a) (+ a b)))) (fabs (* (/ (- (/ b a) 1) a) (+ a b))) (/ (- (/ b a) 1) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (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 (+ (* (neg b) b) (* a a))) a) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (- (/ b a) 1) (/ (+ b a) (* a a)) (/ b (* a a)))
3.0ms	a	@	-inf	((* (/ (- (/ b a) 1) a) (+ a b)) (sqrt (fabs (* (/ (- (/ b a) 1) a) (+ a b)))) (fabs (* (/ (- (/ b a) 1) a) (+ a b))) (/ (- (/ b a) 1) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (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 (+ (* (neg b) b) (* a a))) a) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (- (/ b a) 1) (/ (+ b a) (* a a)) (/ b (* a a)))
3.0ms	b	@	0	((* (/ (- (/ b a) 1) a) (+ a b)) (sqrt (fabs (* (/ (- (/ b a) 1) a) (+ a b)))) (fabs (* (/ (- (/ b a) 1) a) (+ a b))) (/ (- (/ b a) 1) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (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 (+ (* (neg b) b) (* a a))) a) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (- (/ b a) 1) (/ (+ b a) (* a a)) (/ b (* a a)))

simplify305.0ms (5.2%)

Memory

-26.2MiB live, 128.4MiB allocated; 207ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1613
1	875	1531
2	3346	1503
0	8261	1425

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 105

Calls

Call 1

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

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

rewrite195.0ms (3.4%)

Memory

10.2MiB live, 152.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	233
0	61	233
1	224	213
2	1861	182
0	8964	182

Stop Event

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

Counts

21 → 1 310

Calls

Call 1

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

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

eval131.0ms (2.2%)

Memory: 4.4MiB live, 147.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 23 833 to 3 972 computations (83.3% saved)

prune17.0ms (0.3%)

Memory

-1.3MiB live, 43.0MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	937	3	940
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	939	9	948

Accuracy

100.0%

Counts

948 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
▶	99.3%	(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) a) (sqrt.f64 (+.f64 a b)))
✓	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))))
✓	76.8%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	8.3%	(sqrt.f64 (fabs.f64 (.f64 #s(approx (- a b) (neg.f64 b)) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) 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)))))
✓	78.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
✓	96.7%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
▶	98.5%	#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))

Compiler

Compiled 150 to 101 computations (32.7% saved)

simplify129.0ms (2.2%)

Memory

-5.9MiB live, 41.2MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	195
0	53	195
1	96	194
2	206	194
3	475	194
4	1101	194
5	2758	194
6	4136	194
7	5059	194
8	5876	194
9	6459	194
10	7129	194
11	7369	194
12	7801	194
13	7864	194
0	7864	194

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.6%)

Memory

20.6MiB live, 66.7MiB allocated; 3ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 a b)
accuracy	0.0	(*.f64 (-.f64 a b) (+.f64 a b))
accuracy	0.03125	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
accuracy	14.318379464899506	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
accuracy	0.01171875	(sqrt.f64 (-.f64 a b))
accuracy	0.01171875	(sqrt.f64 (+.f64 a b))
accuracy	0.24447250976844204	(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) a) (sqrt.f64 (+.f64 a b)))
accuracy	0.29296875	(/.f64 (sqrt.f64 (-.f64 a b)) a)
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (.f64 #s(approx (- a b) (neg.f64 b)) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))))
accuracy	0.1953125	(.f64 #s(approx (- a b) (neg.f64 b)) #s(approx (/ (+ b a) ( a a)) (/.f64 #s(literal 1 binary64) a)))
accuracy	3.645283222272806	#s(approx (/ (+ b a) (* a a)) (/.f64 #s(literal 1 binary64) a))
accuracy	61.85980019265145	#s(approx (- a b) (neg.f64 b))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) a)
accuracy	0.140625	(*.f64 b (/.f64 b a))
accuracy	0.9470394142654894	#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))

Samples

75.0ms

256×

valid

Compiler

Compiled 159 to 32 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sqrt: 30.0ms (52% of total)

ival-div: 10.0ms (17.3% of total)

ival-mult: 9.0ms (15.6% of total)

ival-add: 4.0ms (6.9% of total)

ival-fabs: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% 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)

series71.0ms (1.2%)

Memory

-12.5MiB live, 41.5MiB allocated; 9ms collecting garbage

Counts

19 → 178

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	a	@	0	((/ (sqrt (+ (* (neg b) b) (* a a))) a) (+ (* (/ -1/2 a) (* b (/ b a))) 1) (/ -1/2 a) (* b (/ b a)) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (/ (sqrt (- a b)) a) (sqrt (- a b)) (- a b) (/ (sqrt (* (- a b) (+ a b))) a) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ b a) (/ (+ b a) (* a a)) (sqrt (+ a b)) (+ a b))
6.0ms	b	@	-inf	((/ (sqrt (+ (* (neg b) b) (* a a))) a) (+ (* (/ -1/2 a) (* b (/ b a))) 1) (/ -1/2 a) (* b (/ b a)) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (/ (sqrt (- a b)) a) (sqrt (- a b)) (- a b) (/ (sqrt (* (- a b) (+ a b))) a) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ b a) (/ (+ b a) (* a a)) (sqrt (+ a b)) (+ a b))
6.0ms	a	@	-inf	((/ (sqrt (+ (* (neg b) b) (* a a))) a) (+ (* (/ -1/2 a) (* b (/ b a))) 1) (/ -1/2 a) (* b (/ b a)) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (/ (sqrt (- a b)) a) (sqrt (- a b)) (- a b) (/ (sqrt (* (- a b) (+ a b))) a) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ b a) (/ (+ b a) (* a a)) (sqrt (+ a b)) (+ a b))
5.0ms	b	@	inf	((/ (sqrt (+ (* (neg b) b) (* a a))) a) (+ (* (/ -1/2 a) (* b (/ b a))) 1) (/ -1/2 a) (* b (/ b a)) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (/ (sqrt (- a b)) a) (sqrt (- a b)) (- a b) (/ (sqrt (* (- a b) (+ a b))) a) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ b a) (/ (+ b a) (* a a)) (sqrt (+ a b)) (+ a b))
4.0ms	a	@	inf	((/ (sqrt (+ (* (neg b) b) (* a a))) a) (+ (* (/ -1/2 a) (* b (/ b a))) 1) (/ -1/2 a) (* b (/ b a)) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (* (- a b) (/ (+ b a) (* a a))) (- a b) (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (/ (sqrt (- a b)) a) (sqrt (- a b)) (- a b) (/ (sqrt (* (- a b) (+ a b))) a) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ b a) (/ (+ b a) (* a a)) (sqrt (+ a b)) (+ a b))

simplify157.0ms (2.7%)

Memory

-9.4MiB live, 82.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	4251
1	2709	3210
0	10128	3034

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 176

Calls

Call 1

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

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

rewrite218.0ms (3.7%)

Memory

-10.1MiB live, 88.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	173
0	53	171
1	170	170
2	1121	169
0	8612	169

Stop Event

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

Counts

19 → 640

Calls

Call 1

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

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

eval140.0ms (2.4%)

Memory: 6.1MiB live, 95.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 29 522 to 3 588 computations (87.8% saved)

prune30.0ms (0.5%)

Memory

-5.8MiB live, 41.6MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	894	2	896
Fresh	0	0	0
Picked	1	3	4
Done	1	4	5
Total	896	9	905

Accuracy

100.0%

Counts

905 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a)
✓	99.3%	(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) a) (sqrt.f64 (+.f64 a b)))
✓	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a) (+.f64 a b))))
✓	76.8%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 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)))))
✓	78.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
✓	98.5%	#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
	96.7%	#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) #s(literal 1 binary64))
	76.3%	#s(approx (* (/ (sqrt (- a b)) a) (sqrt (+ a b))) (fma.f64 (.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64)) b #s(literal 1 binary64)))

Compiler

Compiled 464 to 210 computations (54.7% saved)

regimes32.0ms (0.5%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs
(sin.f64 (acos.f64 (/.f64 b a)))

Calls

7 calls:

5.0ms	b
5.0ms	a
5.0ms	(*.f64 a a)
4.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
4.0ms	(*.f64 b b)

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)

regimes74.0ms (1.3%)

Memory

-27.2MiB live, 25.2MiB allocated; 4ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

7 calls:

48.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
5.0ms	b
5.0ms	a
4.0ms	(*.f64 a a)
4.0ms	(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)

regimes25.0ms (0.4%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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:

4.0ms	a
4.0ms	b
4.0ms	(*.f64 a a)
3.0ms	(*.f64 b b)
3.0ms	(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)

regimes47.0ms (0.8%)

Memory

-26.7MiB live, 20.6MiB allocated; 1ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

28.0ms	(*.f64 a a)
4.0ms	b
4.0ms	a
3.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
3.0ms	(*.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)

regimes14.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.0%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.0%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.0%	2	`(*.f64 b b)`
99.0%	2	`(*.f64 a a)`
99.0%	2	`a`
99.0%	2	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total -57.9b remaining (-2705.5%)

Threshold costs -57.9b (-2705.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`a`
96.7%	1	`b`
96.7%	1	`(*.f64 b b)`
96.7%	1	`(*.f64 a a)`
96.7%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
96.7%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
96.7%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.88479412035e-312	3.545296174174263e-304

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify58.0ms (1%)

Memory

-24.8MiB live, 21.7MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	112
1	80	108
2	271	108
3	1596	108

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sin.f64 (acos.f64 (/.f64 b a)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) 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)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 a a) #s(literal 2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (sqrt (+ ( (neg b) b) (* a a))) a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) #s(literal 1 binary64))

Outputs
(sin.f64 (acos.f64 (/.f64 b a)))
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) 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)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 a a) #s(literal 2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (sqrt (+ ( (neg b) b) (* a a))) a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) a))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) a) #s(literal 1 binary64))

derivations755.0ms (13%)

Memory

6.8MiB live, 333.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	4251
1	2709	3210
0	10128	3034
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101
0	36	233
0	61	233
1	224	213
2	1861	182
0	8964	182
0	8	43
0	14	42
1	60	36
2	560	26
0	9127	25
0	289	1613
1	875	1531
2	3346	1503
0	8261	1425
0	34	221
0	59	195
1	205	155
2	1560	148
0	8822	148

Stop Event

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

Compiler

Compiled 115 to 43 computations (62.6% saved)

preprocess35.0ms (0.6%)

Memory

9.2MiB live, 55.6MiB allocated; 1ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 276 to 122 computations (55.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.2%)

sample1.4s (24.4%)

explain151.0ms (2.6%)

preprocess223.0ms (3.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify116.0ms (2%)

localize43.0ms (0.7%)

series5.0ms (0.1%)

simplify126.0ms (2.2%)

rewrite90.0ms (1.5%)

eval71.0ms (1.2%)

prune12.0ms (0.2%)

simplify114.0ms (2%)

localize122.0ms (2.1%)

series51.0ms (0.9%)

simplify136.0ms (2.3%)

rewrite137.0ms (2.3%)

eval142.0ms (2.4%)

prune28.0ms (0.5%)

simplify144.0ms (2.5%)

localize119.0ms (2%)

series21.0ms (0.4%)

simplify305.0ms (5.2%)

rewrite195.0ms (3.4%)

eval131.0ms (2.2%)

prune17.0ms (0.3%)

simplify129.0ms (2.2%)

localize92.0ms (1.6%)

series71.0ms (1.2%)

simplify157.0ms (2.7%)

rewrite218.0ms (3.7%)

eval140.0ms (2.4%)

prune30.0ms (0.5%)

regimes32.0ms (0.5%)

regimes74.0ms (1.3%)

regimes25.0ms (0.4%)

regimes47.0ms (0.8%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

simplify58.0ms (1%)

derivations755.0ms (13%)

preprocess35.0ms (0.6%)

end0.0ms (0%)

Profiling