Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

sample1.1s (16.9%)

Memory

-7.8MiB live, 1 692.0MiB allocated

Samples

843.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 588.0ms

ival-mult: 358.0ms (60.9% of total)

ival-pow2: 92.0ms (15.6% of total)

ival-add: 82.0ms (13.9% of total)

ival-sub: 38.0ms (6.5% of total)

exact: 9.0ms (1.5% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

explain166.0ms (2.4%)

Memory

10.3MiB live, 395.0MiB 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 149 to 40 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (45.3% of total)

ival-pow2: 5.0ms (18.9% of total)

ival-add: 4.0ms (15.1% of total)

ival-sub: 3.0ms (11.3% of total)

exact: 1.0ms (3.8% of total)

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

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

preprocess397.0ms (5.9%)

Memory

-26.1MiB live, 362.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	91	87
2	242	87
3	672	87
4	2159	85
5	6407	85
0	12	17
0	19	17
1	44	17
2	127	17
3	465	17
4	1524	17
5	4471	17
0	8337	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify295.0ms (4.3%)

Memory

2.7MiB live, 296.1MiB 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	1	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	1	(+.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	465	64
4	1524	64
5	4471	64
0	8337	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)

localize28.0ms (0.4%)

Memory

24.6MiB live, 71.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0078125	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
accuracy	0.024101269536884032	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.1171875	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.8% of total)

ival-pow2: 4.0ms (32.6% of total)

ival-add: 2.0ms (16.3% of total)

ival-sub: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-21.8MiB live, 24.6MiB 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
3.0ms	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))
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	@	-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))

simplify300.0ms (4.4%)

Memory

-11.5MiB live, 427.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	536
1	246	492
2	915	492
3	6986	492
0	8102	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 (.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 binary64)) 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)))

rewrite183.0ms (2.7%)

Memory

26.5MiB live, 216.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	19	56
1	90	56
2	779	56
0	9235	46

Stop Event

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

Counts

6 → 463

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 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) 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 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (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 (fma.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 (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 (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))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.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 (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 (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))) #s(literal 1 binary64))) (-.f64 (fma.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 (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)) (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (fma.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 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (-.f64 (fma.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 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (fma.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 (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 (fma.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 (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 (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))) #s(literal 1 binary64)) (-.f64 (fma.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 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.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 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.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 (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 (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 (fma.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 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.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 (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))) (+.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 (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)))))
(/.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 (fma.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 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.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))) (-.f64 (fma.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 (pow.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))
(neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (+.f64 a b))) (/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 (neg.f64 (.f64 #s(literal -4 binary64) (neg.f64 b))) (neg.f64 b)))
(fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (+.f64 a b))) (/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 (.f64 #s(literal -4 binary64) (neg.f64 b)) b))
(fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (+.f64 a b))) (/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 (.f64 (neg.f64 b) b) #s(literal -4 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (+.f64 a b))) (/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (neg.f64 a) (neg.f64 b))) (.f64 #s(literal -4 binary64) (.f64 b b)))
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(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (.f64 (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 a) a (.f64 b b)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fabs.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (fma.f64 (neg.f64 a) a (.f64 b b)))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (neg.f64 a) a (.f64 b b)))
(/.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 a) a (.f64 b b))))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (-.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 (hypot.f64 b a) (neg.f64 (neg.f64 b))) (.f64 (hypot.f64 b a) (neg.f64 (neg.f64 b))) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a)))
(fma.f64 (.f64 (hypot.f64 b a) (neg.f64 b)) (.f64 (hypot.f64 b a) (neg.f64 b)) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a)))
(fma.f64 (.f64 (hypot.f64 b a) b) (.f64 (hypot.f64 b a) b) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a)))
(fma.f64 (.f64 (neg.f64 (neg.f64 a)) (hypot.f64 b a)) (.f64 (neg.f64 (neg.f64 a)) (hypot.f64 b a)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 a) (hypot.f64 b a)) (.f64 (neg.f64 a) (hypot.f64 b a)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (.f64 a (hypot.f64 b a)) (.f64 a (hypot.f64 b a)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 b a) (neg.f64 (neg.f64 a))) (.f64 (hypot.f64 b a) (neg.f64 (neg.f64 a))) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 (hypot.f64 b a) (neg.f64 a)) (.f64 (hypot.f64 b a) (neg.f64 a)) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 (hypot.f64 b a) a) (.f64 (hypot.f64 b a) a) (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 (neg.f64 (neg.f64 b)) (hypot.f64 b a)) (.f64 (neg.f64 (neg.f64 b)) (hypot.f64 b a)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 b) (hypot.f64 b a)) (.f64 (neg.f64 b) (hypot.f64 b a)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (.f64 b (hypot.f64 b a)) (.f64 b (hypot.f64 b a)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.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)))
(fma.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)))
(fma.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))))
(fma.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))))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (.f64 (.f64 (neg.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 (neg.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)))
(fabs.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b))) (neg.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a))))
(+.f64 (neg.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (.f64 b b))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.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) b)) b)
(.f64 (fabs.f64 (.f64 #s(literal 4 binary64) b)) b)
(.f64 (.f64 #s(literal -4 binary64) b) (neg.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
(.f64 (neg.f64 b) (.f64 #s(literal -4 binary64) b))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 b (fabs.f64 (.f64 #s(literal -4 binary64) b)))
(.f64 b (fabs.f64 (.f64 #s(literal 4 binary64) b)))
(.f64 b (.f64 #s(literal 4 binary64) b))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 b b)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))
(fabs.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 (neg.f64 a)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a (neg.f64 (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))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))

eval121.0ms (1.8%)

Memory: 16.1MiB live, 145.3MiB allocated
Compiler: Compiled 17 114 to 1 964 computations (88.5% saved)

prune13.0ms (0.2%)

Memory

-36.7MiB live, 21.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	488	4	492
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	489	4	493

Accuracy

100.0%

Counts

493 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(-.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))
▶	69.3%	(-.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))
▶	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	88.5%	(-.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 108 to 71 computations (34.3% saved)

simplify282.0ms (4.2%)

Memory

-3.7MiB live, 243.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	346
0	54	346
1	104	346
2	285	346
3	1009	346
4	3149	346
5	6242	346
6	7945	346
0	8358	329

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 (.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 #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)
(-.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)

Outputs
(-.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 #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)
(-.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)) (fma.f64 (*.f64 #s(literal -4 binary64) 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)))
(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))
(.f64 (.f64 b b) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize82.0ms (1.2%)

Memory

-1.1MiB live, 87.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.024101269536884032	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	1.4832499596631235	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.099344880144862	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	15.36680424564069	#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 #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	0.024101269536884032	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	22.34179898268395	#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	24.46347629531624	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0	(*.f64 a a)
accuracy	0.7395995884259584	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy	3.591581414607732	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	14.532801281523291	#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))

Samples

59.0ms

256×

valid

Compiler

Compiled 266 to 27 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-pow: 20.0ms (45.5% of total)

ival-mult: 14.0ms (31.8% of total)

ival-add: 6.0ms (13.6% of total)

ival-pow2: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

38.0MiB live, 38.0MiB allocated

Counts

18 → 54

Calls

Call 1

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

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 a 4)
(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 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 2)
(* 2 (* a (pow b 2)))
(* a (+ (* 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))))) (/ 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)))))
(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 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))))
(* 4 (pow b 2))
(pow b 2)
(+ (* 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 (* 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)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (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	@	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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (- (+ (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) (+ (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) (* a a) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (- (+ (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) (+ (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) (* a a) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (- (+ (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) (+ (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) (* a a) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (- (+ (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) (+ (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) (* a a) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (- (+ (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) (+ (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) (* a a) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))

simplify227.0ms (3.3%)

Memory

-19.9MiB live, 224.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	811
1	390	761
2	1499	760
0	8298	697

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

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

rewrite186.0ms (2.7%)

Memory

27.2MiB live, 258.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	298
0	54	298
1	253	298
2	1969	298
0	9364	272

Stop Event

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

Counts

18 → 340

Calls

Call 1

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

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

eval74.0ms (1.1%)

Memory: -12.8MiB live, 76.9MiB allocated
Compiler: Compiled 21 581 to 1 931 computations (91.1% saved)

prune80.0ms (1.2%)

Memory

-9.6MiB live, 57.5MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	427	7	434
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	429	9	438

Accuracy

100.0%

Counts

438 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(fma.f64 (.f64 b b) #s(literal 4 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)) #s(literal 1 binary64)))
	67.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 #s(approx ( (+ (* (* b b) 2) (* a a)) a) (.f64 (.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) (.f64 b b))) a)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓	69.3%	(-.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))
✓	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	69.2%	(-.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))
▶	69.3%	(-.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))
▶	63.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 a a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) b)) #s(literal 1 binary64))
▶	50.6%	(-.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 567 to 330 computations (41.8% saved)

simplify154.0ms (2.3%)

Memory

-18.7MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	616
0	74	616
1	150	602
2	459	596
3	1953	596
4	7964	596
0	8170	566

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.7%)

Memory

36.2MiB live, 171.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.550022489074053	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	6.1504395504428	(.f64 (.f64 a a) b)
accuracy	14.532801281523291	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 a a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) b))
accuracy	15.63205009696475	(.f64 (.f64 (*.f64 a a) b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))
accuracy	0.046875	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	0.7395995884259584	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b)
accuracy	14.532801281523291	#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	20.081805575944383	#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	0.11394501953688405	(.f64 (.f64 a a) (*.f64 a a))
accuracy	24.46347629531624	#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	0.024101269536884032	(.f64 (.f64 b b) #s(literal 4 binary64))
accuracy	16.832532845654804	#s(approx (+ (* (* b b) 4) (pow b 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
accuracy	22.34179898268395	#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	0.00390625	(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
accuracy	1.4832499596631235	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.099344880144862	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	15.36680424564069	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))

Samples

91.0ms

256×

valid

Compiler

Compiled 376 to 36 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 43.0ms (68.3% of total)

ival-add: 9.0ms (14.3% of total)

ival-div: 3.0ms (4.8% of total)

ival-pow: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-pow2: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

-29.9MiB live, 24.8MiB allocated

Counts

27 → 77

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	a	@	-inf	((+ (* (* 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) (- (+ (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) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 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) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (* (+ (* b b) 4) b) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (* (* a a) b) (/ (+ (* b b) 4) a))
6.0ms	b	@	-inf	((+ (* (* 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) (- (+ (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) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 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) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (* (+ (* b b) 4) b) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (* (* a a) b) (/ (+ (* b b) 4) a))
4.0ms	b	@	inf	((+ (* (* 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) (- (+ (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) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 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) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (* (+ (* b b) 4) b) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (* (* a a) b) (/ (+ (* b b) 4) a))
4.0ms	b	@	0	((+ (* (* 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) (- (+ (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) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 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) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (* (+ (* b b) 4) b) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (* (* a a) b) (/ (+ (* b b) 4) a))
3.0ms	a	@	inf	((+ (* (* 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) (- (+ (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) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 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) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (* b b) 2) (* a a)) a) (* (* (+ (* (* b b) 2) (* a a)) a) a) (+ (* (* b b) 2) (* a a)) (* (+ (* b b) 4) b) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (* (* a a) b) (/ (+ (* b b) 4) a))

simplify229.0ms (3.4%)

Memory

-2.2MiB live, 231.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1100
1	514	1048
2	1967	1038
0	8208	956

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

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

rewrite250.0ms (3.7%)

Memory

-14.4MiB live, 334.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	563
0	74	557
1	331	540
2	2507	540
0	8939	502

Stop Event

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

Counts

27 → 411

Calls

Call 1

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

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

eval114.0ms (1.7%)

Memory: 24.8MiB live, 159.6MiB allocated
Compiler: Compiled 29 985 to 2 973 computations (90.1% saved)

prune18.0ms (0.3%)

Memory

-12.2MiB live, 41.1MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	594	1	595
Fresh	0	2	2
Picked	1	4	5
Done	0	2	2
Total	595	9	604

Accuracy

100.0%

Counts

604 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.8%	(fma.f64 (.f64 b b) #s(literal 4 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)) #s(literal 1 binary64)))
▶	67.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 #s(approx ( (+ (* (* b b) 2) (* a a)) a) (.f64 (.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) (.f64 b b))) a)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓	69.3%	(-.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))
✓	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	69.2%	(-.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))
✓	69.3%	(-.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))
▶	74.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) (+.f64 (/.f64 #s(approx (/ (+ ( b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)))) b)) #s(literal 1 binary64))
✓	50.6%	(-.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 314 to 183 computations (41.7% saved)

simplify142.0ms (2.1%)

Memory

16.9MiB live, 204.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	625
0	75	625
1	156	625
2	472	625
3	1814	625
4	6134	625
0	8352	583

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

localize124.0ms (1.8%)

Memory

-13.5MiB live, 183.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	1.4832499596631235	(.f64 #s(approx ( (+ (* (* b b) 2) (* a a)) a) (.f64 (.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) (*.f64 b b))) a)
accuracy	1.654305048385466	(fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))
accuracy	12.943699577277647	(.f64 (.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) (*.f64 b b))
accuracy	15.36680424564069	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 #s(approx ( (+ (* (* b b) 2) (* a a)) a) (.f64 (.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) (*.f64 b b))) 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	0.7395995884259584	(.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)
accuracy	14.532801281523291	#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	34.55375182981446	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
accuracy	6.835316035237476	(/.f64 (*.f64 b b) a)
accuracy	14.532801281523291	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) (+.f64 (/.f64 #s(approx (/ (+ ( b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)))) b))
accuracy	15.63205009696475	(.f64 (.f64 (.f64 a a) b) (+.f64 (/.f64 #s(approx (/ (+ ( b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)))
accuracy	29.080376857253313	#s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a))

Samples

62.0ms

256×

valid

Compiler

Compiled 313 to 38 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 22.0ms (47.6% of total)

ival-add: 9.0ms (19.5% of total)

ival-div: 8.0ms (17.3% of total)

ival-pow: 3.0ms (6.5% of total)

ival-pow2: 3.0ms (6.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

-13.3MiB live, 33.4MiB allocated

Counts

17 → 64

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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) (- (+ (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) (/ (+ (* b b) 4) a) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (/ (* b b) a) (* (* a (+ (* (/ (/ a b) b) a) 2)) (* b b)) (+ (* (/ (/ a b) b) a) 2))
3.0ms	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) (- (+ (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) (/ (+ (* b b) 4) a) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (/ (* b b) a) (* (* a (+ (* (/ (/ a b) b) a) 2)) (* b b)) (+ (* (/ (/ a b) b) a) 2))
3.0ms	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) (- (+ (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) (/ (+ (* b b) 4) a) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (/ (* b b) a) (* (* a (+ (* (/ (/ a b) b) a) 2)) (* b b)) (+ (* (/ (/ a b) b) a) 2))
3.0ms	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) (- (+ (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) (/ (+ (* b b) 4) a) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (/ (* b b) a) (* (* a (+ (* (/ (/ a b) b) a) 2)) (* b b)) (+ (* (/ (/ a b) b) a) 2))
2.0ms	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) (- (+ (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) (/ (+ (* b b) 4) a) (* (* (* a a) b) (+ (/ (/ (+ (* b b) 4) a) a) 2)) (/ (* b b) a) (* (* a (+ (* (/ (/ a b) b) a) 2)) (* b b)) (+ (* (/ (/ a b) b) a) 2))

simplify173.0ms (2.6%)

Memory

44.7MiB live, 185.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	913
1	483	861
2	1869	855
0	8097	780

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

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

rewrite356.0ms (5.2%)

Memory

-39.0MiB live, 198.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	515
0	75	515
1	312	515
2	2358	509
0	8526	463

Stop Event

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

Counts

17 → 206

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

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

eval47.0ms (0.7%)

Memory: 22.8MiB live, 68.2MiB allocated
Compiler: Compiled 20 104 to 1 378 computations (93.1% saved)

prune9.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	258	9	267

Accuracy

100.0%

Counts

267 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.8%	(fma.f64 (.f64 b b) #s(literal 4 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)) #s(literal 1 binary64)))
	49.1%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 #s(approx ( (+ (* (* b b) 2) (* a a)) a) (.f64 (.f64 a #s(approx (+ (* (/ (/ a b) b) a) 2) (.f64 (/.f64 (/.f64 a b) b) a))) (.f64 b b))) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	69.3%	(-.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))
✓	71.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	69.2%	(-.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))
✓	69.3%	(-.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))
✓	74.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) (+.f64 (/.f64 #s(approx (/ (+ ( b b) 4) a) (/.f64 (*.f64 b b) a)) a) #s(literal 2 binary64)))) b)) #s(literal 1 binary64))
✓	50.6%	(-.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))
	48.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))

Compiler

Compiled 841 to 303 computations (64% saved)

regimes58.0ms (0.9%)

Memory

-9.7MiB live, 36.5MiB allocated

Counts

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

Calls

6 calls:

35.0ms	(*.f64 b b)
5.0ms	b
5.0ms	a
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)

regimes55.0ms (0.8%)

Memory

-5.5MiB live, 45.4MiB allocated

Counts

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

Outputs

(fma.f64 (*.f64 b b) #s(literal 4 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)) #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))

Calls

6 calls:

33.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
4.0ms	b
4.0ms	a
4.0ms	(*.f64 b b)
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.3%	2	`a`
99.9%	2	`b`
91.3%	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))`
91.3%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.3%	2	`(*.f64 a a)`
99.9%	2	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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 (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 (*.f64 a a) (*.f64 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))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`b`
99.8%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes23.0ms (0.3%)

Memory

-28.6MiB live, 15.6MiB allocated

Counts

3 → 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))

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:

18.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.4%	2	`a`
97.4%	2	`(*.f64 a a)`
95.3%	2	`b`
95.3%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB 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:

2.0ms	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 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))

Results

Accuracy	Segments	Branch
71.3%	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))`
71.3%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
85.6%	2	`b`
85.6%	2	`(*.f64 b b)`
84.9%	2	`a`
84.9%	2	`(*.f64 a a)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes27.0ms (0.4%)

Memory

-18.1MiB live, 25.1MiB 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:

21.0ms	(-.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 (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 b b)

Results

Accuracy	Segments	Branch
50.6%	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))`
50.6%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
50.6%	1	`a`
50.6%	1	`(*.f64 a a)`
50.6%	1	`b`
50.6%	1	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	66988680072.048935	1.233961489931775e+20

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	66988680072.048935	1.233961489931775e+20

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch27.0ms (0.4%)

Memory

-1.4MiB live, 42.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	718640.0838206819	7511745072856.67

Samples

8.0ms

144×

valid

Compiler

Compiled 569 to 358 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19% of total)

ival-add: 1.0ms (19% of total)

ival-pow2: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch60.0ms (0.9%)

Memory

-7.7MiB live, 59.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3233226282510035e+295	8.477002101564307e+303

Samples

8.0ms

144×

valid

Compiler

Compiled 522 to 340 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (38.5% of total)

ival-sub: 1.0ms (19.3% of total)

ival-add: 1.0ms (19.3% of total)

ival-pow2: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify73.0ms (1.1%)

Memory

27.8MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	313
1	101	313
2	238	313
3	703	313
4	1904	313
5	4154	313
6	6376	313
7	7883	313

Stop Event

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))
(if (<=.f64 (.f64 b b) #s(literal 100000000000 binary64)) (fma.f64 (.f64 b b) #s(literal 4 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)) #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)))
(if (<=.f64 (.f64 b b) #s(literal 100000000000 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 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 a a) #s(literal 10200000 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 8199999999999999940418261058398948541135242974879680451046641280260366450726642374914204675590390964670899981496514646653269329282351613290455998983650075971499015516248652932583018905634487886977384735142226487118826246256500952096682178703847891398970111329406761950502481731986176705583708115109412864 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 (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))
(if (<=.f64 (.f64 b b) #s(literal 100000000000 binary64)) (fma.f64 (.f64 b b) #s(literal 4 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)) #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)))
(if (<=.f64 (.f64 b b) #s(literal 100000000000 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 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (.f64 a a) #s(literal 10200000 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 8199999999999999940418261058398948541135242974879680451046641280260366450726642374914204675590390964670899981496514646653269329282351613290455998983650075971499015516248652932583018905634487886977384735142226487118826246256500952096682178703847891398970111329406761950502481731986176705583708115109412864 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))

soundness978.0ms (14.4%)

Memory

-11.1MiB live, 500.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	536
1	246	492
2	915	492
3	6986	492
0	8102	450
0	119	811
1	390	761
2	1499	760
0	8298	697
0	33	298
0	54	298
1	253	298
2	1969	298
0	9364	272

Stop Event

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

Compiler

Compiled 490 to 187 computations (61.8% saved)

preprocess65.0ms (1%)

Memory

7.3MiB live, 103.7MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 1 188 to 388 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.9%)

explain166.0ms (2.4%)

preprocess397.0ms (5.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify295.0ms (4.3%)

localize28.0ms (0.4%)

series9.0ms (0.1%)

simplify300.0ms (4.4%)

rewrite183.0ms (2.7%)

eval121.0ms (1.8%)

prune13.0ms (0.2%)

simplify282.0ms (4.2%)

localize82.0ms (1.2%)

series14.0ms (0.2%)

simplify227.0ms (3.3%)

rewrite186.0ms (2.7%)

eval74.0ms (1.1%)

prune80.0ms (1.2%)

simplify154.0ms (2.3%)

localize116.0ms (1.7%)

series43.0ms (0.6%)

simplify229.0ms (3.4%)

rewrite250.0ms (3.7%)

eval114.0ms (1.7%)

prune18.0ms (0.3%)

simplify142.0ms (2.1%)

localize124.0ms (1.8%)

series22.0ms (0.3%)

simplify173.0ms (2.6%)

rewrite356.0ms (5.2%)

eval47.0ms (0.7%)

prune9.0ms (0.1%)

regimes58.0ms (0.9%)

regimes55.0ms (0.8%)

regimes4.0ms (0.1%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

regimes27.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.4%)

bsearch60.0ms (0.9%)

simplify73.0ms (1.1%)

soundness978.0ms (14.4%)

preprocess65.0ms (1%)

end0.0ms (0%)

Profiling