Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze12.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB 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)

sample1.3s (22.9%)

Memory

-7.1MiB live, 1 077.7MiB allocated; 194ms collecting garbage

Samples

816.0ms	8 256×	0	valid
68.0ms	822×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 659.0ms

ival-mult: 169.0ms (25.7% of total)

ival-<=: 140.0ms (21.2% of total)

ival-fabs: 96.0ms (14.6% of total)

ival-sqrt: 96.0ms (14.6% of total)

ival-div: 84.0ms (12.7% of total)

ival-sub: 39.0ms (5.9% of total)

ival-and: 18.0ms (2.7% of total)

exact: 11.0ms (1.7% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain134.0ms (2.3%)

Memory

34.5MiB live, 157.6MiB allocated; 17ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
55	-	-	`(/.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	55	0
↳	`(*.f64 b b)`	underflow	176
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	55
↳	`(*.f64 a a)`	underflow	55
↳	`(*.f64 a a)`	underflow	55

Confusion

	Predicted +	Predicted -
+	55	0
-	0	201

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	0
-	0	0	201

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 17.0ms (52% of total)

ival-mult: 7.0ms (21.4% of total)

ival-div: 3.0ms (9.2% of total)

ival-sqrt: 3.0ms (9.2% of total)

ival-fabs: 2.0ms (6.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess174.0ms (3%)

Memory

-3.4MiB live, 102.9MiB allocated; 50ms 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
▶	78.5%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify96.0ms (1.7%)

Memory

6.3MiB live, 54.1MiB allocated; 2ms 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

localize34.0ms (0.6%)

Memory

-26.6MiB live, 20.8MiB allocated; 1ms 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	0.015625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.015625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	13.34780755791916	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

28.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-sqrt: 14.0ms (65.3% of total)

ival-mult: 3.0ms (14% of total)

ival-sub: 1.0ms (4.7% of total)

ival-div: 1.0ms (4.7% of total)

ival-fabs: 1.0ms (4.7% 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

6.6MiB live, 6.6MiB 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	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)))

simplify179.0ms (3.1%)

Memory

-15.6MiB live, 81.2MiB allocated; 23ms 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)

rewrite105.0ms (1.8%)

Memory

2.3MiB live, 95.3MiB allocated; 5ms 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))

eval60.0ms (1%)

Memory: 23.9MiB live, 73.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 154 to 1 251 computations (79.7% saved)

prune6.0ms (0.1%)

Memory

-28.9MiB live, 16.4MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	285	4	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	4	290

Accuracy

100.0%

Counts

290 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.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))))
▶	97.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 74 to 46 computations (37.8% saved)

simplify97.0ms (1.7%)

Memory

1.2MiB live, 94.7MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	259
0	52	254
1	114	236
2	376	233
3	2272	233
0	8364	233

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

32.9MiB live, 83.6MiB allocated; 6ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a)))
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.015625	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
accuracy	13.34780755791916	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)))
accuracy	0.0	#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))
accuracy	0.015625	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
accuracy	0.03515625	(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.015625	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.6888819934754065	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.015625	(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	0.2421875	(/.f64 (/.f64 b a) a)

Samples

45.0ms

256×

valid

Compiler

Compiled 209 to 27 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 7.0ms (25% of total)

ival-mult: 7.0ms (25% of total)

ival-add: 3.0ms (10.7% of total)

ival-fabs: 3.0ms (10.7% of total)

ival-sqrt: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.1% of total)

ival-neg: 1.0ms (3.6% 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

-19.0MiB live, 28.0MiB allocated; 3ms collecting garbage

Counts

16 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a))
3.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a))
3.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a))
2.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a))
2.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a))

simplify123.0ms (2.1%)

Memory

32.0MiB live, 123.8MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	384
1	319	313
2	1266	307
3	6155	307
0	8523	292

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

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

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

rewrite253.0ms (4.4%)

Memory

-14.6MiB live, 273.3MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	227
0	52	218
1	195	194
2	1445	157
0	9160	157

Stop Event

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

Counts

16 → 2 013

Calls

Call 1

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

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

eval89.0ms (1.5%)

Memory: -20.1MiB live, 119.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 21 537 to 2 877 computations (86.6% saved)

prune12.0ms (0.2%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	660	6	666
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	663	7	670

Accuracy

100.0%

Counts

670 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
▶	79.0%	(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
	78.8%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (.f64 (+.f64 b a) (/.f64 (-.f64 a b) (.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)))))
▶	79.2%	(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)))))
▶	97.5%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 237 to 146 computations (38.4% saved)

simplify106.0ms (1.8%)

Memory

-21.6MiB live, 116.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	245
0	56	242
1	103	230
2	320	224
3	1855	224
0	8758	224

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.6%)

Memory

-2.1MiB live, 99.5MiB allocated; 5ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
accuracy	0.0	(neg.f64 a)
accuracy	0.015625	(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) a)
accuracy	13.039917175664742	(sqrt.f64 (neg.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
accuracy	0.0	(neg.f64 b)
accuracy	0.015625	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	0.015625	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
accuracy	13.039917175664742	(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	0.015625	(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	13.3172949647281	(/.f64 b (*.f64 a a))
accuracy	0.015625	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
accuracy	1.6888819934754065	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 b)
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a))
accuracy	0.015625	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)))
accuracy	0.03515625	(/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) a) a)

Samples

76.0ms

256×

valid

Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions

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

ival-fabs: 14.0ms (31.3% of total)

ival-div: 9.0ms (20.1% of total)

ival-mult: 9.0ms (20.1% of total)

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

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

ival-neg: 3.0ms (6.7% of total)

ival-sub: 1.0ms (2.2% 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)

series20.0ms (0.4%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Counts

20 → 100

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (+ (* (neg b) (/ b a)) a) a) (+ (* (neg b) (/ b a)) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (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) (neg (+ (* (neg a) a) (* b b))) (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (sqrt (neg (+ (* (neg a) a) (* b b)))) (+ (* (neg a) a) (* b b)) (/ b (* a a)) (neg a))
4.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (+ (* (neg b) (/ b a)) a) a) (+ (* (neg b) (/ b a)) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (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) (neg (+ (* (neg a) a) (* b b))) (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (sqrt (neg (+ (* (neg a) a) (* b b)))) (+ (* (neg a) a) (* b b)) (/ b (* a a)) (neg a))
3.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (+ (* (neg b) (/ b a)) a) a) (+ (* (neg b) (/ b a)) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (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) (neg (+ (* (neg a) a) (* b b))) (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (sqrt (neg (+ (* (neg a) a) (* b b)))) (+ (* (neg a) a) (* b b)) (/ b (* a a)) (neg a))
3.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (+ (* (neg b) (/ b a)) a) a) (+ (* (neg b) (/ b a)) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (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) (neg (+ (* (neg a) a) (* b b))) (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (sqrt (neg (+ (* (neg a) a) (* b b)))) (+ (* (neg a) a) (* b b)) (/ b (* a a)) (neg a))
2.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (+ (* (neg b) (/ b a)) a) a) (+ (* (neg b) (/ b a)) a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (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) (neg (+ (* (neg a) a) (* b b))) (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (sqrt (neg (+ (* (neg a) a) (* b b)))) (+ (* (neg a) a) (* b b)) (/ b (* a a)) (neg a))

simplify236.0ms (4.1%)

Memory

-42.3MiB live, 152.0MiB allocated; 123ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	1974
1	938	1914
2	3811	1903
0	8427	1788

Stop Event

1×	iter limit
1×	node limit

Counts

100 → 99

Calls

Call 1

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

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

rewrite182.0ms (3.1%)

Memory

35.0MiB live, 183.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	221
0	56	219
1	186	201
2	1360	165
0	8945	152

Stop Event

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

Counts

20 → 1 601

Calls

Call 1

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

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

eval80.0ms (1.4%)

Memory: -2.2MiB live, 135.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 20 910 to 2 858 computations (86.3% saved)

prune16.0ms (0.3%)

Memory

-10.2MiB live, 39.9MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	748	2	750
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	751	6	757

Accuracy

100.0%

Counts

757 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b a) 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)))))
✓	79.2%	(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)))))
✓	97.5%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
▶	1.6%	#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal -1 binary64))

Compiler

Compiled 108 to 69 computations (36.1% saved)

simplify60.0ms (1%)

Memory

-0.3MiB live, 46.9MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	21	48
1	42	47
2	84	46
3	245	46
4	518	46
5	996	46
6	2161	46
7	2826	46
8	3122	46
9	3166	46
10	3166	46
11	3362	46
0	3362	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

0.5MiB live, 47.4MiB allocated; 2ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 b a)
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.015625	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) a)
accuracy	13.039917175664742	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	62.99859033524099	#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal -1 binary64))

Samples

26.0ms

256×

valid

Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions

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

ival-mult: 7.0ms (37.1% of total)

ival-div: 3.0ms (15.9% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-add: 2.0ms (10.6% of total)

ival-neg: 2.0ms (10.6% of total)

ival-sub: 1.0ms (5.3% 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)

series10.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

6 → 90

Calls

Call 1

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

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

Calls

6 calls:

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

simplify129.0ms (2.2%)

Memory

34.0MiB live, 187.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	429	1954
1	1580	1165
0	9274	1088

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 88

Calls

Call 1

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

rewrite400.0ms (6.9%)

Memory

74.5MiB live, 254.9MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
0	21	45
1	85	43
2	635	43
3	7411	43
0	8184	43

Stop Event

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

Counts

6 → 379

Calls

Call 1

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

Outputs
#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 (+.f64 b a)) a) (sqrt.f64 (-.f64 a b)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (/.f64 (sqrt.f64 (+.f64 b a)) (neg.f64 a)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)) a))
(*.f64 (sqrt.f64 (+.f64 b a)) (/.f64 (sqrt.f64 (-.f64 a b)) a))
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (sqrt.f64 (+.f64 b a)) a))
(/.f64 (.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 (+.f64 b a)) a)) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (/.f64 (sqrt.f64 (+.f64 b a)) a)) (sqrt.f64 (+.f64 b a)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) (neg.f64 a))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) a)
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (neg.f64 a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 a b)))) (sqrt.f64 (+.f64 b a)))
(.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (neg.f64 (sqrt.f64 (+.f64 b a))))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/2 binary64))
(/.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 (neg.f64 a) a))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (fma.f64 b b (.f64 (neg.f64 a) a)))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a))) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (-.f64 a b) (-.f64 b a))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b)) (pow.f64 (.f64 (-.f64 a b) b) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 b b (.f64 (neg.f64 a) a)))) (sqrt.f64 (fma.f64 b b (.f64 (neg.f64 a) a))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 (neg.f64 a) a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (sqrt.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))))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (.f64 (fma.f64 (+.f64 b a) b (.f64 a a)) (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (.f64 a a) (.f64 b b)) (hypot.f64 b a))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 2 binary64)))) (fma.f64 b b (.f64 (-.f64 b a) a)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 a b) a) (-.f64 (.f64 (-.f64 a b) a) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 a b) a) (*.f64 b b)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a)) (+.f64 (pow.f64 (.f64 (+.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 b a) b) (-.f64 (.f64 (+.f64 b a) b) (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (+.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) a (.f64 (neg.f64 b) b)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (+.f64 b a)) (fma.f64 b b (.f64 (neg.f64 a) a))) (-.f64 b a))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #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)) (-.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (.f64 a a)))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 2 binary64))))
(.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(.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 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 b b (.f64 (neg.f64 a) a))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 b b (.f64 (neg.f64 a) a))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 b b (.f64 (neg.f64 a) a))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 b b (.f64 (neg.f64 a) a))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (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 (.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 b a))) (-.f64 b a))
(.f64 (.f64 (+.f64 b a) (/.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 (-.f64 a b) a (.f64 b b)))
(*.f64 (+.f64 (fabs.f64 a) (neg.f64 b)) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(.f64 (/.f64 (-.f64 a b) (-.f64 b a)) (fma.f64 b b (.f64 (neg.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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (-.f64 (neg.f64 b) a) (-.f64 b a))
(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (/.f64 (fma.f64 b b (.f64 (neg.f64 a) a)) (fma.f64 b b (.f64 (neg.f64 a) a))))
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(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (/.f64 (pow.f64 b #s(literal 3/2 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))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (/.f64 (pow.f64 a #s(literal 3/2 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))))
(fma.f64 (.f64 a a) (/.f64 a (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))))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 a b)))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 b a)) (/.f64 (*.f64 (neg.f64 a) a) (-.f64 b a)))
(fma.f64 (.f64 b b) (/.f64 b (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))))
(fma.f64 b (/.f64 b (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 a b)))
(fma.f64 b (/.f64 b (-.f64 b a)) (/.f64 (*.f64 (neg.f64 a) a) (-.f64 b a)))
(fma.f64 b (/.f64 (.f64 b b) (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))))
(fma.f64 a (/.f64 (.f64 a a) (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 (.f64 (-.f64 a b) b) (-.f64 a b)) (/.f64 (.f64 (-.f64 b a) a) (-.f64 a b)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (fma.f64 b b (.f64 a a)))) (-.f64 b a)) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (-.f64 b a)))
(-.f64 (/.f64 (.f64 (neg.f64 a) a) (-.f64 b a)) (/.f64 (.f64 (neg.f64 b) b) (-.f64 b a)))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 a (neg.f64 b))
(+.f64 (/.f64 (.f64 (-.f64 a b) a) (-.f64 a b)) (/.f64 (.f64 (-.f64 a b) b) (-.f64 a b)))
(+.f64 (/.f64 (/.f64 (neg.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 b a)) (/.f64 (/.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 b a)))
(+.f64 (/.f64 (.f64 (-.f64 a b) b) (-.f64 a b)) (/.f64 (.f64 (-.f64 a b) a) (-.f64 a b)))
(+.f64 (/.f64 (.f64 a a) (-.f64 a b)) (.f64 b (/.f64 b (-.f64 b a))))
(+.f64 (/.f64 (.f64 (neg.f64 a) a) (-.f64 b a)) (.f64 b (/.f64 b (-.f64 b 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 b (/.f64 b (-.f64 b a))) (/.f64 (.f64 a a) (-.f64 a b)))
(+.f64 (.f64 b (/.f64 b (-.f64 b a))) (/.f64 (.f64 (neg.f64 a) a) (-.f64 b a)))
(+.f64 b a)
(+.f64 a b)

eval151.0ms (2.6%)

Memory: -26.2MiB live, 72.7MiB allocated; 80ms collecting garbage
Compiler: Compiled 12 637 to 2 040 computations (83.9% saved)

prune9.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	443	2	445
Fresh	0	0	0
Picked	1	1	2
Done	2	2	4
Total	446	5	451

Accuracy

100.0%

Counts

451 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.0%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	79.2%	(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)))))
	99.1%	#s(approx (/ (sqrt (* (- a b) (+ b a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
	97.5%	#s(approx (/ (sqrt (* (- a b) (+ b a))) a) #s(literal 1 binary64))

Compiler

Compiled 340 to 137 computations (59.7% saved)

regimes31.0ms (0.5%)

Memory

-19.6MiB live, 27.6MiB allocated; 1ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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:

9.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
4.0ms	b
4.0ms	a
4.0ms	(*.f64 a a)
3.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

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)

regimes20.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(*.f64 b b)`
99.1%	1	`(*.f64 a a)`
99.1%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.1%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.1%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.1%	1	`a`
99.1%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.2%)

Memory

-29.6MiB live, 17.7MiB allocated; 1ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(*.f64 a a)
2.0ms	a
2.0ms	b
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
99.2%	2	`(*.f64 b b)`
99.2%	2	`(*.f64 a a)`
99.2%	2	`a`
99.2%	2	`b`
99.2%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.2%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.2%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes11.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
1.0ms	(*.f64 b b)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
97.5%	1	`(*.f64 b b)`
97.5%	1	`(*.f64 a a)`
97.5%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.5%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.5%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.5%	1	`a`
97.5%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
1.6%	1	`b`
1.6%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
1.6%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
1.6%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
1.6%	1	`(*.f64 b b)`
1.6%	1	`(*.f64 a a)`
1.6%	1	`a`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999996	1.0

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify57.0ms (1%)

Memory

-15.5MiB live, 34.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	108
1	98	104
2	331	104
3	1872	104

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (/ (sqrt (* (- a b) (+ b a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #s(literal 2251799813685247/2251799813685248 binary64)) (/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) a) #s(approx (/ (sqrt (* (- a b) (+ b a))) a) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* (- a b) (+ b a))) a) #s(literal 1 binary64))
#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal -1 binary64))

Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (/ (sqrt (* (- a b) (+ b a))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #s(literal 2251799813685247/2251799813685248 binary64)) (/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) a) #s(approx (/ (sqrt (* (- a b) (+ b a))) a) #s(literal 1 binary64)))
(if (<=.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (.f64 a a)))) #s(literal 2251799813685247/2251799813685248 binary64)) (/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))) a) #s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal 1 binary64)))
#s(approx (/ (sqrt (* (- a b) (+ b a))) a) #s(literal 1 binary64))
#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal 1 binary64))
#s(approx (/ (sqrt (neg (+ (* (neg a) a) (* b b)))) a) #s(literal -1 binary64))

derivations1.3s (21.9%)

Memory

-4.0MiB live, 419.4MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	221
0	56	219
1	186	201
2	1360	165
0	8945	152
0	31	227
0	52	218
1	195	194
2	1445	157
0	9160	157
0	297	1974
1	938	1914
2	3811	1903
0	8427	1788
0	8	43
0	14	42
1	60	36
2	560	26
0	9127	25
0	429	1954
1	1580	1165
0	9274	1088
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101

Stop Event

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

Compiler

Compiled 114 to 42 computations (63.2% saved)

preprocess36.0ms (0.6%)

Memory

2.5MiB live, 48.8MiB allocated; 2ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 530 to 268 computations (49.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.2%)

sample1.3s (22.9%)

explain134.0ms (2.3%)

preprocess174.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify96.0ms (1.7%)

localize34.0ms (0.6%)

series5.0ms (0.1%)

simplify179.0ms (3.1%)

rewrite105.0ms (1.8%)

eval60.0ms (1%)

prune6.0ms (0.1%)

simplify97.0ms (1.7%)

localize66.0ms (1.1%)

series51.0ms (0.9%)

simplify123.0ms (2.1%)

rewrite253.0ms (4.4%)

eval89.0ms (1.5%)

prune12.0ms (0.2%)

simplify106.0ms (1.8%)

localize95.0ms (1.6%)

series20.0ms (0.4%)

simplify236.0ms (4.1%)

rewrite182.0ms (3.1%)

eval80.0ms (1.4%)

prune16.0ms (0.3%)

simplify60.0ms (1%)

localize35.0ms (0.6%)

series10.0ms (0.2%)

simplify129.0ms (2.2%)

rewrite400.0ms (6.9%)

eval151.0ms (2.6%)

prune9.0ms (0.2%)

regimes31.0ms (0.5%)

regimes20.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify57.0ms (1%)

derivations1.3s (21.9%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling