Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.2s (14.9%)

Memory

38.9MiB live, 1 364.6MiB allocated

Samples

952.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-mult: 247.0ms (45.4% of total)

ival-add: 129.0ms (23.7% of total)

ival-pow2: 105.0ms (19.3% of total)

ival-sub: 44.0ms (8.1% of total)

exact: 9.0ms (1.7% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain231.0ms (2.8%)

Memory

-8.9MiB live, 235.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 a a)`
-	-	`a`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
-	-	`#s(literal 4 binary64)`
-	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
-	-	`(*.f64 b b)`
-	-	`(.f64 #s(literal 4 binary64) (.f64 b b))`
-	-	`#s(literal 2 binary64)`
-	-	`b`
-	-	`(+.f64 (.f64 a a) (.f64 b b))`
-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

45.0ms

512×

valid

Compiler

Compiled 213 to 52 computations (75.6% saved)

Precisions

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

ival-mult: 14.0ms (50.4% of total)

ival-pow2: 5.0ms (18% of total)

ival-add: 4.0ms (14.4% of total)

ival-sub: 2.0ms (7.2% of total)

ival-true: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

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

preprocess383.0ms (4.6%)

Memory

1.7MiB live, 323.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	91	87
2	252	87
3	866	87
4	3399	85
0	12	17
0	19	17
1	44	17
2	127	17
3	479	17
4	2034	17
5	6654	17
0	8233	15

Stop Event

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

Calls

Call 1

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

Outputs

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

(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify252.0ms (3%)

Memory

10.9MiB live, 236.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
0	19	64
1	44	64
2	127	64
3	479	64
4	2034	64
5	6654	64
0	8233	58

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

-20.7MiB live, 69.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0078125	(+.f64 (.f64 a a) (.f64 b b))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.146816259768442	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

24.0ms

256×

valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

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

ival-mult: 5.0ms (43.6% of total)

ival-add: 2.0ms (17.5% of total)

ival-pow2: 2.0ms (17.5% of total)

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

exact: 1.0ms (8.7% of total)

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

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

series7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

6 → 32

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))

simplify348.0ms (4.2%)

Memory

-17.3MiB live, 388.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	536
1	246	492
2	882	492
3	5964	492
0	8198	450

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

rewrite220.0ms (2.6%)

Memory

16.5MiB live, 257.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	19	56
1	90	56
2	766	56
0	8580	46

Stop Event

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

Counts

6 → 454

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))))) (+.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b) (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) b)) b)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)) (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 b) b) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) (pow.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) b) b (*.f64 (neg.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
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(+.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b)) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a)))
(+.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a)) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 4 binary64) (neg.f64 b))) b)
(.f64 (fabs.f64 (.f64 #s(literal 4 binary64) b)) b)
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 4 binary64))))
(.f64 b (fabs.f64 (.f64 #s(literal 4 binary64) b)))
(.f64 b (.f64 #s(literal 4 binary64) b))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 b b))))
(fabs.f64 (.f64 #s(literal 4 binary64) (.f64 b b)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (neg.f64 (*.f64 a a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))

eval116.0ms (1.4%)

Memory: -20.3MiB live, 157.5MiB allocated
Compiler: Compiled 18 783 to 2 170 computations (88.4% saved)

prune12.0ms (0.1%)

Memory

5.3MiB live, 42.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	476	7	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	7	484

Accuracy

100.0%

Counts

484 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	99.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	91.1%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	91.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	85.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))

Compiler

Compiled 376 to 246 computations (34.6% saved)

simplify271.0ms (3.2%)

Memory

4.1MiB live, 241.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	6144	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff	0	(pow.f64 a #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b)))
cost-diff	0	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff	0	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	1024	(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	487
0	61	487
1	115	487
2	311	487
3	1149	463
4	4584	463
0	8154	437

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
b
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(.f64 #s(literal 4 binary64) (.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)

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

localize100.0ms (1.2%)

Memory

-9.1MiB live, 104.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.015625	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	22.19972361770222	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy	0.0	(pow.f64 a #s(literal 4 binary64))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	26.508618352787153	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	2.1977134475542814	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	4.957538994931724	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	17.460530748675296	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	0.0	(*.f64 a a)
accuracy	2.161983286311497	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy	3.5732032986560753	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	17.14707001223742	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
accuracy	0.01171875	(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.03125	(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
accuracy	4.957538994931724	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)

Samples

76.0ms

256×

valid

Compiler

Compiled 850 to 67 computations (92.1% saved)

Precisions

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

ival-mult: 16.0ms (49% of total)

ival-add: 8.0ms (24.5% of total)

ival-pow: 5.0ms (15.3% of total)

ival-pow2: 3.0ms (9.2% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

23 → 58

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 b b)
(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(.f64 #s(literal 4 binary64) (.f64 b b))
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
(*.f64 a a)

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* b b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (+ (* (* b b) 2) (* a a)) (* a a))
2.0ms	a	@	inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* b b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (+ (* (* b b) 2) (* a a)) (* a a))
2.0ms	a	@	-inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* b b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (+ (* (* b b) 2) (* a a)) (* a a))
2.0ms	b	@	inf	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* b b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (+ (* (* b b) 2) (* a a)) (* a a))
2.0ms	a	@	0	((+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* b b) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)) (+ (* (* b b) 2) (* a a)) (* a a))

simplify293.0ms (3.5%)

Memory

2.2MiB live, 278.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	856
1	403	806
2	1491	804
0	8386	740

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

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

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

rewrite185.0ms (2.2%)

Memory

-17.6MiB live, 221.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	410
0	61	410
1	294	410
2	2323	410
0	8332	376

Stop Event

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

Counts

23 → 436

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 b b)
(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(.f64 #s(literal 4 binary64) (.f64 b b))
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
(*.f64 a a)

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 12 binary64)))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) (neg.f64 a)) (neg.f64 a) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(fma.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(fma.f64 (neg.f64 b) (pow.f64 b #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 a (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(-.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b)))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a)) a))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))) (.f64 a a)))
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eval130.0ms (1.6%)

Memory: 27.3MiB live, 213.4MiB allocated
Compiler: Compiled 32 357 to 2 913 computations (91% saved)

prune20.0ms (0.2%)

Memory

-14.6MiB live, 60.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	680	7	687
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	685	9	694

Accuracy

100.0%

Counts

694 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.1%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
▶	99.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	68.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	68.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
▶	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
▶	56.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))

Compiler

Compiled 501 to 298 computations (40.5% saved)

simplify450.0ms (5.4%)

Memory

5.6MiB live, 409.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
cost-diff	0	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
cost-diff	-5504	(.f64 (.f64 a a) (*.f64 a a))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 b b) #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	517
0	68	517
1	146	503
2	448	486
3	1503	458
4	3828	458
5	6933	458
0	8472	429

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(*.f64 b b)
b
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))
#s(literal 2 binary64)
(*.f64 a a)
a
(.f64 #s(literal 4 binary64) (.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

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

localize86.0ms (1%)

Memory

-7.0MiB live, 152.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.08822250976844202	(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
accuracy	22.19972361770222	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
accuracy	0.05859375	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	2.161983286311497	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
accuracy	17.14707001223742	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))
accuracy	20.035984712075116	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	0.13509750976844204	(.f64 (.f64 a a) (*.f64 a a))
accuracy	26.508618352787153	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0.0	(*.f64 b b)
accuracy	0.015625	(.f64 (.f64 b b) #s(literal 4 binary64))
accuracy	12.3180547786369	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
accuracy	22.19972361770222	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.07259750976844202	(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
accuracy	2.1977134475542814	(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
accuracy	4.957538994931724	(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)

Samples

62.0ms

256×

valid

Compiler

Compiled 853 to 78 computations (90.9% saved)

Precisions

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

ival-mult: 25.0ms (55.6% of total)

ival-add: 9.0ms (20% of total)

ival-pow2: 7.0ms (15.6% of total)

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

ival-sub: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

24 → 56

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
(*.f64 a a)
(.f64 (.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 #s(literal 4 binary64) (.f64 b b))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* b b) (+ (* b b) 4)) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* (* b b) (* b b)) (* (* (+ (* 2 (* b b)) (* a a)) a) a)) (* 4 (* b b)) (* (+ (* b b) 4) b))
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* b b) (+ (* b b) 4)) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* (* b b) (* b b)) (* (* (+ (* 2 (* b b)) (* a a)) a) a)) (* 4 (* b b)) (* (+ (* b b) 4) b))
2.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* b b) (+ (* b b) 4)) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* (* b b) (* b b)) (* (* (+ (* 2 (* b b)) (* a a)) a) a)) (* 4 (* b b)) (* (+ (* b b) 4) b))
2.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* b b) (+ (* b b) 4)) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* (* b b) (* b b)) (* (* (+ (* 2 (* b b)) (* a a)) a) a)) (* 4 (* b b)) (* (+ (* b b) 4) b))
2.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* b b) (+ (* b b) 4)) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* (* b b) (* b b)) (* (* (+ (* 2 (* b b)) (* a a)) a) a)) (* 4 (* b b)) (* (+ (* b b) 4) b))

simplify320.0ms (3.8%)

Memory

-21.1MiB live, 308.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	828
1	394	778
2	1478	776
0	8272	715

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

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

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

rewrite204.0ms (2.4%)

Memory

-1.2MiB live, 222.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	476
0	68	455
1	319	445
2	2437	445
0	8493	405

Stop Event

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

Counts

24 → 420

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
(*.f64 a a)
(.f64 (.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 #s(literal 4 binary64) (.f64 b b))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 b b)))) (.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 b b))) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal -64 binary64) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) (pow.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (.f64 #s(literal 4 binary64) (neg.f64 b))) b #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (fabs.f64 (.f64 #s(literal 4 binary64) b)) b #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 #s(literal 4 binary64) (.f64 b b) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 4 binary64))) #s(approx (pow (+ ( a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
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(.f64 (fabs.f64 (.f64 #s(literal 4 binary64) (neg.f64 b))) b)
(.f64 (fabs.f64 (.f64 #s(literal 4 binary64) b)) b)
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 b (fabs.f64 (.f64 (neg.f64 b) #s(literal 4 binary64))))
(.f64 b (fabs.f64 (.f64 #s(literal 4 binary64) b)))
(.f64 b (.f64 #s(literal 4 binary64) b))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 4 binary64) (.f64 b b))))
(fabs.f64 (.f64 #s(literal 4 binary64) (.f64 b b)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) b)) (neg.f64 (-.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) b)) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 b (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) b) (-.f64 (.f64 b b) #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) b) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (.f64 b b) #s(literal 4 binary64)))
(/.f64 (.f64 b (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) b) (.f64 #s(literal 4 binary64) b))
(fma.f64 (neg.f64 b) (.f64 b b) (.f64 #s(literal 4 binary64) b))
(fma.f64 (.f64 (neg.f64 b) b) (neg.f64 b) (.f64 #s(literal 4 binary64) b))
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (.f64 b b) (neg.f64 b) (.f64 #s(literal 4 binary64) b))
(fma.f64 (.f64 b b) b (.f64 #s(literal 4 binary64) b))
(fma.f64 b #s(literal 4 binary64) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (.f64 b b) (.f64 #s(literal 4 binary64) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) b))
(+.f64 (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 3 binary64)))

eval383.0ms (4.6%)

Memory: -21.3MiB live, 276.4MiB allocated
Compiler: Compiled 29 930 to 2 806 computations (90.6% saved)

prune45.0ms (0.5%)

Memory

13.0MiB live, 51.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	642	0	642
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	642	9	651

Accuracy

100.0%

Counts

651 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
✓	99.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓	68.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	68.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
✓	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
✓	56.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))

Compiler

Compiled 274 to 165 computations (39.8% saved)

simplify230.0ms (2.7%)

Memory

7.5MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
cost-diff	0	(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	230
0	41	230
1	91	230
2	279	230
3	1003	230
4	3757	230
0	8045	215

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)

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

localize138.0ms (1.6%)

Memory

-15.1MiB live, 66.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))
accuracy	2.1977134475542814	(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
accuracy	4.957538994931724	(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
accuracy	17.460530748675296	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
accuracy	2.161983286311497	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
accuracy	17.14707001223742	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b))
accuracy	34.25425361787513	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))

Samples

111.0ms

256×

valid

Compiler

Compiled 379 to 59 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 47.0ms (76.5% of total)

ival-add: 6.0ms (9.8% of total)

ival-pow: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-pow2: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

11 → 63

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* 2 (* b b)) (* a a)))
1.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* 2 (* b b)) (* a a)))
1.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* 2 (* b b)) (* a a)))
1.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* 2 (* b b)) (* a a)))
1.0ms	a	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* 2 (* b b)) (* a a)) a) (* (* (+ (* 2 (* b b)) (* a a)) a) a) (+ (* 2 (* b b)) (* a a)))

simplify249.0ms (3%)

Memory

-2.6MiB live, 117.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	971
1	411	921
2	1526	919
0	8187	847

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite240.0ms (2.9%)

Memory

25.7MiB live, 138.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	216
0	41	216
1	204	216
2	1599	216
0	8682	196

Stop Event

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

Counts

11 → 228

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b))
(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))

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

eval148.0ms (1.8%)

Memory: -14.3MiB live, 39.0MiB allocated
Compiler: Compiled 18 655 to 1 629 computations (91.3% saved)

prune39.0ms (0.5%)

Memory

-17.6MiB live, 20.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	297	2	299
Fresh	0	0	0
Picked	0	2	2
Done	1	6	7
Total	298	10	308

Accuracy

100.0%

Counts

308 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
	90.6%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
✓	99.9%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	68.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	70.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	68.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
✓	68.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
✓	56.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
	47.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))

Compiler

Compiled 795 to 285 computations (64.2% saved)

regimes43.0ms (0.5%)

Memory

-0.3MiB live, 36.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))

Outputs

(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))

Calls

6 calls:

20.0ms	b
5.0ms	a
4.0ms	(*.f64 b b)
4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.9%	1	`(*.f64 a a)`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes35.0ms (0.4%)

Memory

13.1MiB live, 49.7MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Outputs

(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))

Calls

6 calls:

11.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
5.0ms	b
5.0ms	a
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.9%	1	`(*.f64 a a)`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes41.0ms (0.5%)

Memory

-19.8MiB live, 24.2MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))

(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))

Calls

6 calls:

27.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
3.0ms	a
3.0ms	b
3.0ms	(*.f64 b b)
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
98.3%	2	`a`
97.8%	2	`b`
93.1%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
93.1%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
98.3%	2	`(*.f64 a a)`
97.8%	2	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))

(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`a`
97.9%	2	`(*.f64 a a)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.3%	2	`b`
94.3%	2	`(*.f64 b b)`
95.8%	2	`a`
95.8%	2	`(*.f64 a a)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.4%)

Memory

-15.8MiB live, 23.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

23.0ms	b
1.0ms	a
1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
70.1%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
70.1%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
90.1%	2	`b`
90.1%	2	`(*.f64 b b)`
87.1%	2	`a`
87.1%	2	`(*.f64 a a)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
1.0ms	a
1.0ms	b
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
1.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
56.4%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
56.4%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
56.4%	1	`a`
56.4%	1	`(*.f64 a a)`
56.4%	1	`b`
56.4%	1	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1528490197873876e-23	8.460684568240943e-14

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1528490197873876e-23	8.460684568240943e-14

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch30.0ms (0.4%)

Memory

-13.2MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.7374629197517993e+76	4.362112012073757e+82

Samples

9.0ms

144×

valid

Compiler

Compiled 569 to 358 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-pow2: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.6803237200248927e+297	+inf

Samples

10.0ms

160×

valid

Compiler

Compiled 578 to 376 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33.3% of total)

ival-pow2: 2.0ms (33.3% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify360.0ms (4.3%)

Memory

-17.7MiB live, 64.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	393
1	86	393
2	96	393
3	115	393
4	139	393
5	172	393
6	210	393
7	257	393
8	309	393
9	370	393
10	436	393
11	511	393
12	591	393
13	680	393
14	774	393
15	877	393
16	985	393
17	1102	393
18	1224	393
19	1355	393
20	1491	393
21	1636	393
22	1786	393
23	1945	393
24	2109	393
25	2282	393
26	2460	393
27	2646	393
28	2806	393
29	3016	393
30	3226	393
31	3436	393
32	3673	393
33	3815	393
34	3911	393
35	3949	393
36	3980	393
37	4012	393
38	4245	393
39	4482	393
40	4728	393
41	4979	393
42	5237	393
43	5495	393
44	5851	393
45	6087	393
46	6447	393
47	6683	393
48	7043	393
49	7279	393
50	7297	393
51	7297	393
52	7876	393
53	7915	393
54	7957	393
55	7998	393

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 (.f64 a a) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 1099999999999999934472526218943798355712659110699188700770017126645192814135083008 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 45000000000000002489898172859540305439594252391628896919016067741878454934757413628935389909286675789535527844010228721367662471876908283720176142532759381453244047311151282553569543315900528087039994454137237712945460676339749323263451493224888745044108055025347144304502218177699584615197193802287610331136 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 (.f64 a a) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 #s(approx (+ (* 2 (* b b)) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 1099999999999999934472526218943798355712659110699188700770017126645192814135083008 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 45000000000000002489898172859540305439594252391628896919016067741878454934757413628935389909286675789535527844010228721367662471876908283720176142532759381453244047311151282553569543315900528087039994454137237712945460676339749323263451493224888745044108055025347144304502218177699584615197193802287610331136 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 45000000000000002489898172859540305439594252391628896919016067741878454934757413628935389909286675789535527844010228721367662471876908283720176142532759381453244047311151282553569543315900528087039994454137237712945460676339749323263451493224888745044108055025347144304502218177699584615197193802287610331136 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 #s(literal 4 binary64) (.f64 b b)))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 #s(literal 4 binary64) (.f64 b b)))) #s(literal 1 binary64))

soundness1.3s (15.9%)

Memory

8.3MiB live, 757.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	971
1	411	921
2	1526	919
0	8187	847
0	122	856
1	403	806
2	1491	804
0	8386	740
0	37	410
0	61	410
1	294	410
2	2323	410
0	8332	376
0	79	536
1	246	492
2	882	492
3	5964	492
0	8198	450

Stop Event

1×	fuel
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

Compiler

Compiled 702 to 262 computations (62.7% saved)

preprocess50.0ms (0.6%)

Memory

16.7MiB live, 96.4MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 1 216 to 404 computations (66.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (14.9%)

explain231.0ms (2.8%)

preprocess383.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify252.0ms (3%)

localize36.0ms (0.4%)

series7.0ms (0.1%)

simplify348.0ms (4.2%)

rewrite220.0ms (2.6%)

eval116.0ms (1.4%)

prune12.0ms (0.1%)

simplify271.0ms (3.2%)

localize100.0ms (1.2%)

series16.0ms (0.2%)

simplify293.0ms (3.5%)

rewrite185.0ms (2.2%)

eval130.0ms (1.6%)

prune20.0ms (0.2%)

simplify450.0ms (5.4%)

localize86.0ms (1%)

series13.0ms (0.2%)

simplify320.0ms (3.8%)

rewrite204.0ms (2.4%)

eval383.0ms (4.6%)

prune45.0ms (0.5%)

simplify230.0ms (2.7%)

localize138.0ms (1.6%)

series8.0ms (0.1%)

simplify249.0ms (3%)

rewrite240.0ms (2.9%)

eval148.0ms (1.8%)

prune39.0ms (0.5%)

regimes43.0ms (0.5%)

regimes35.0ms (0.4%)

regimes41.0ms (0.5%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes30.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.4%)

bsearch18.0ms (0.2%)

simplify360.0ms (4.3%)

soundness1.3s (15.9%)

preprocess50.0ms (0.6%)

end0.0ms (0%)

Profiling