Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.2s (16.9%)

Memory

39.1MiB live, 1 802.7MiB allocated

Samples

819.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

ival-mult: 211.0ms (46.2% of total)

ival-pow2: 88.0ms (19.3% of total)

ival-add: 82.0ms (18% of total)

ival-sub: 55.0ms (12.1% of total)

exact: 9.0ms (2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain201.0ms (2.9%)

Memory

19.8MiB live, 308.3MiB 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

48.0ms

512×

valid

Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions

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

ival-mult: 15.0ms (52.8% of total)

ival-pow2: 5.0ms (17.6% of total)

ival-add: 4.0ms (14.1% of total)

ival-sub: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess315.0ms (4.5%)

Memory

-11.8MiB live, 409.7MiB 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)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify218.0ms (3.1%)

Memory

-10.8MiB live, 324.2MiB 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)

localize29.0ms (0.4%)

Memory

17.2MiB live, 64.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.00390625	(+.f64 (.f64 a a) (.f64 b b))
accuracy	0.00390625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.11003876953688403	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.8% of total)

ival-pow2: 3.0ms (23.9% of total)

ival-add: 2.0ms (15.9% of total)

ival-sub: 1.0ms (8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))

simplify340.0ms (4.9%)

Memory

-2.4MiB live, 464.0MiB 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)))

rewrite217.0ms (3.1%)

Memory

-3.0MiB live, 246.4MiB 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 (.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))))

eval68.0ms (1%)

Memory: 29.6MiB live, 160.1MiB allocated
Compiler: Compiled 17 114 to 1 964 computations (88.5% saved)

prune114.0ms (1.6%)

Memory

-70.9MiB live, 79.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	485	7	492
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	486	7	493

Accuracy

100.0%

Counts

493 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(-.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	90.1%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	86.5%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	100.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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)))) #s(literal 1 binary64))
	69.6%	(-.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))
▶	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	86.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))

Compiler

Compiled 376 to 246 computations (34.6% saved)

simplify167.0ms (2.4%)

Memory

18.7MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	524
0	62	524
1	117	524
2	319	524
3	1190	521
4	3879	521
5	7079	521
0	8096	493

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

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

localize134.0ms (1.9%)

Memory

-24.8MiB live, 215.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	24.551197916259788	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.00390625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	2.86251509536522	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.6253906902031545	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	16.728604134020895	#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	0.00390625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	2.905721472570746	(.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)
accuracy	3.5802045718684576	(.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
accuracy	18.191856628459487	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b))
accuracy	0.0	(*.f64 a a)
accuracy	2.894002722570746	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy	3.5684858218684576	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	17.50249491071814	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
accuracy	0.0	(*.f64 a a)
accuracy	0.0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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))))
accuracy	0.0234375	(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)))
accuracy	3.5684858218684576	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)

Samples

109.0ms

256×

valid

Compiler

Compiled 399 to 28 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-add: 36.0ms (56% of total)

ival-mult: 16.0ms (24.9% of total)

ival-pow2: 7.0ms (10.9% of total)

ival-pow: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

19.0MiB live, 63.3MiB allocated

Counts

22 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((+ (* (* (+ (* b b) (+ (* (* a a) 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) (+ (* (* 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) (+ (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) (* (* (+ (* (* a a) 2) (* b b)) 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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* a a) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms	b	@	0	((+ (* (* (+ (* b b) (+ (* (* a a) 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) (+ (* (* 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) (+ (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) (* (* (+ (* (* a a) 2) (* b b)) 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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* a a) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms	a	@	inf	((+ (* (* (+ (* b b) (+ (* (* a a) 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) (+ (* (* 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) (+ (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) (* (* (+ (* (* a a) 2) (* b b)) 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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* a a) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms	b	@	-inf	((+ (* (* (+ (* b b) (+ (* (* a a) 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) (+ (* (* 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) (+ (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) (* (* (+ (* (* a a) 2) (* b b)) 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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* a a) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms	b	@	inf	((+ (* (* (+ (* b b) (+ (* (* a a) 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) (+ (* (* 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) (+ (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) (* (* (+ (* (* a a) 2) (* b b)) 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) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* a a) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* (+ (* (* b b) 2) (* a a)) a))

simplify274.0ms (3.9%)

Memory

1.8MiB live, 291.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	943
1	436	893
2	1717	880
3	7226	880
0	8320	808

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 61

Calls

Call 1

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

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

rewrite189.0ms (2.7%)

Memory

2.0MiB live, 281.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	421
0	62	421
1	285	421
2	2371	421
0	8190	387

Stop Event

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

Counts

22 → 376

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 12 binary64)))) (.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 8 binary64))) (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (neg.f64 b)) (neg.f64 b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 a) a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (neg.f64 a) (pow.f64 a #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (.f64 a a) (.f64 a a) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 b (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (.f64 (.f64 (neg.f64 a) a) (.f64 a a)))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)) b))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))) (*.f64 b b)))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 b) (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 a #s(literal 12 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))))
(+.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))
(+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #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))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #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))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #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))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))))))
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(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
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(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))))
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(fma.f64 (.f64 a a) a (.f64 a (.f64 (.f64 b b) #s(literal 2 binary64))))
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(fma.f64 a (.f64 a a) (.f64 a (.f64 (.f64 b b) #s(literal 2 binary64))))
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eval95.0ms (1.4%)

Memory: 14.6MiB live, 112.7MiB allocated
Compiler: Compiled 26 600 to 2 225 computations (91.6% saved)

prune32.0ms (0.5%)

Memory

-3.0MiB live, 40.4MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	544	6	550
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	549	8	557

Accuracy

100.0%

Counts

557 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.1%	(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)))
▶	99.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (.f64 (.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
	69.6%	(-.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))
✓	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	78.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
▶	69.6%	(-.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))
▶	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	58.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (.f64 (.f64 (.f64 a b) (.f64 a b)) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 475 to 287 computations (39.6% saved)

simplify186.0ms (2.7%)

Memory

11.6MiB live, 200.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	481
0	65	481
1	140	467
2	423	453
3	1645	450
4	4472	450
5	7270	450
0	8182	425

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

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

localize233.0ms (3.3%)

Memory

-49.8MiB live, 255.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
accuracy	2.86251509536522	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.6253906902031545	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	16.728604134020895	#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 b b)
accuracy	0.0	(*.f64 a a)
accuracy	7.934428885886993	(.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (*.f64 b b))
accuracy	17.50249491071814	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))
accuracy	0.0	(-.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))
accuracy	0.03125	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	0.0390625	(.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
accuracy	21.76659943666276	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) 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	0.10546875	(.f64 (.f64 a a) (*.f64 a a))
accuracy	24.551197916259788	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0.0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (.f64 (.f64 a a) (*.f64 a a))))
accuracy	0.0234375	(fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0.10546875	(.f64 (.f64 a a) (*.f64 a a))
accuracy	3.5684858218684576	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)

Samples

181.0ms

256×

valid

Compiler

Compiled 360 to 35 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 145.0ms (90.4% of total)

ival-add: 10.0ms (6.2% of total)

ival-pow2: 3.0ms (1.9% of total)

ival-sub: 2.0ms (1.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

23 → 75

Calls

Call 1

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

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

Calls

6 calls:

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

simplify220.0ms (3.1%)

Memory

-11.2MiB live, 222.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1110
1	474	1056
2	1817	1043
0	8405	959

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 75

Calls

Call 1

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

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

rewrite227.0ms (3.3%)

Memory

25.3MiB live, 298.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	417
0	65	405
1	322	393
2	2374	393
0	10116	363

Stop Event

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

Counts

23 → 522

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (neg.f64 a) a) a) a)
(*.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 a))
(*.f64 (pow.f64 a #s(literal 3 binary64)) a)
(*.f64 (neg.f64 a) (pow.f64 a #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))
(.f64 (.f64 (neg.f64 a) a) (*.f64 a a))
(.f64 (.f64 a a) (*.f64 (neg.f64 a) a))
(.f64 (.f64 a a) (*.f64 a a))
(*.f64 a (pow.f64 a #s(literal 3 binary64)))
(pow.f64 (neg.f64 a) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(neg.f64 (pow.f64 a #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 a #s(literal 8 binary64)))
(fabs.f64 (pow.f64 a #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 a) a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)))
(+.f64 (cosh.f64 (.f64 #s(literal 4 binary64) (log.f64 a))) (sinh.f64 (.f64 #s(literal 4 binary64) (log.f64 a))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 a #s(literal 12 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 a #s(literal 12 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 8 binary64)) (.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) b) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))))
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eval273.0ms (3.9%)

Memory: -29.0MiB live, 225.3MiB allocated
Compiler: Compiled 39 340 to 3 744 computations (90.5% saved)

prune30.0ms (0.4%)

Memory

6.0MiB live, 52.4MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	807	8	815
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	809	14	823

Accuracy

100.0%

Counts

823 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	90.1%	(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)))
✓	99.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (.f64 (.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
	78.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	99.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
▶	79.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64))) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
✓	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓	78.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
	69.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64))
✓	69.6%	(-.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))
✓	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	69.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
▶	55.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
▶	58.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (* b b) (+ (* 2 (* a a)) 4)) (* b b)) (.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))))) #s(literal 1 binary64))

Compiler

Compiled 750 to 434 computations (42.1% saved)

simplify154.0ms (2.2%)

Memory

18.8MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	676
0	83	676
1	179	649
2	602	633
3	3190	633
0	8093	603

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

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

localize148.0ms (2.1%)

Memory

-39.8MiB live, 262.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 b #s(literal 4 binary64))
accuracy	0.0	(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	22.496036552881176	#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
accuracy	2.193621441215388	(/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)
accuracy	5.1661136498994935	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	11.862963335392276	(.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)))
accuracy	17.50249491071814	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (* b b) (+ (* 2 (* a a)) 4)) (* b b)) (.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)))))
accuracy	0.0234375	(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64))) b (.f64 (.f64 a a) (.f64 a a)))
accuracy	0.10546875	(.f64 (.f64 a a) (*.f64 a a))
accuracy	6.682263804917061	(.f64 (.f64 a a) b)
accuracy	29.8364255329268	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 a a) b) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 #s(literal 4 binary64) b)
accuracy	0.0390625	(.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
accuracy	21.76659943666276	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
accuracy	31.11178146622223	#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b))
accuracy	0.0234375	(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (.f64 (.f64 a a) (.f64 a a)))
accuracy	0.03125	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	0.10546875	(.f64 (.f64 a a) (*.f64 a a))
accuracy	20.02980246493325	#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))

Samples

77.0ms

256×

valid

Compiler

Compiled 403 to 41 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 26.0ms (51% of total)

ival-add: 10.0ms (19.6% of total)

ival-pow2: 5.0ms (9.8% of total)

ival-div: 4.0ms (7.8% of total)

ival-pow: 3.0ms (5.9% of total)

ival-sub: 2.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

27 → 69

Calls

Call 1

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

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

Calls

6 calls:

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

simplify320.0ms (4.6%)

Memory

19.2MiB live, 207.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1039
1	462	977
2	1789	958
3	7744	958
0	8077	882

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

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

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

rewrite304.0ms (4.4%)

Memory

-11.1MiB live, 221.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	609
0	83	587
1	384	562
2	2745	562
0	8173	521

Stop Event

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

Counts

27 → 364

Calls

Call 1

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

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

eval60.0ms (0.9%)

Memory: 18.1MiB live, 165.6MiB allocated
Compiler: Compiled 27 703 to 2 024 computations (92.7% saved)

prune32.0ms (0.5%)

Memory

-7.2MiB live, 75.8MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	444	1	445
Fresh	0	3	3
Picked	1	4	5
Done	0	6	6
Total	445	14	459

Accuracy

100.0%

Counts

459 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	90.1%	(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)))
✓	99.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (.f64 (.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
	78.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))) #s(literal 1 binary64))
✓	99.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
✓	79.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 a a) b) #s(literal 2 binary64))) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
✓	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓	78.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
	69.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64))
✓	69.6%	(-.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))
✓	72.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	69.1%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
✓	55.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
	51.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (* b b) (+ (* 2 (* a a)) 4)) (* b b)) (.f64 (.f64 (.f64 b a) (.f64 b a)) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 1 208 to 403 computations (66.6% saved)

regimes99.0ms (1.4%)

Memory

-3.2MiB live, 101.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

38.0ms	a
37.0ms	(*.f64 a a)
6.0ms	b
5.0ms	(*.f64 b b)
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 b b)`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
100.0%	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))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes38.0ms (0.5%)

Memory

-13.9MiB live, 76.6MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

9.0ms	a
7.0ms	(*.f64 b b)
6.0ms	b
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
5.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 b b)`
99.9%	1	`(*.f64 a a)`
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 (+.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	`a`
99.9%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes23.0ms (0.3%)

Memory

16.0MiB live, 60.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	(*.f64 a a)
4.0ms	a
4.0ms	b
3.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 b b)`
99.3%	1	`(*.f64 a a)`
99.3%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.3%	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))`
99.3%	1	`a`
99.3%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes15.0ms (0.2%)

Memory

-19.3MiB live, 35.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

6 calls:

4.0ms	(*.f64 a a)
2.0ms	a
2.0ms	b
2.0ms	(*.f64 b b)
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Results

Accuracy	Segments	Branch
98.0%	2	`(*.f64 b b)`
95.1%	2	`(*.f64 a a)`
88.9%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
88.9%	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))`
95.1%	2	`a`
98.0%	2	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.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 #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
95.3%	2	`(*.f64 b b)`
95.3%	2	`b`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))

Calls

4 calls:

1.0ms	a
1.0ms	b
1.0ms	(*.f64 a a)
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
86.3%	2	`(*.f64 a a)`
86.3%	2	`a`
89.4%	2	`(*.f64 b b)`
89.4%	2	`b`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB 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))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #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) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
55.4%	1	`(*.f64 a a)`
55.4%	1	`a`
55.4%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
55.4%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
55.4%	1	`(*.f64 b b)`
55.4%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch9.0ms (0.1%)

Memory

-27.0MiB live, 17.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.3840376058640088e-26	3.3986621153198656e-26

Samples

3.0ms

48×

valid

Compiler

Compiled 188 to 127 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (44.9% of total)

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

ival-pow2: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.0656390680147922e+52	1.4352722074998283e+55

Samples

8.0ms

128×

valid

Compiler

Compiled 428 to 288 computations (32.7% saved)

Precisions

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

ival-mult: 2.0ms (35.6% of total)

ival-sub: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

ival-pow2: 1.0ms (17.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

-3.8MiB live, 40.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.7490452639382293e+142	1.205313989588932e+149

Samples

13.0ms

144×

valid

Compiler

Compiled 524 to 340 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (63.2% of total)

ival-sub: 1.0ms (10.5% of total)

ival-add: 1.0ms (10.5% of total)

ival-pow2: 1.0ms (10.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify71.0ms (1%)

Memory

-14.9MiB live, 80.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	325
1	97	325
2	237	325
3	705	325
4	1907	325
5	4229	325
6	6480	325

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 359338179468511/10889035741470030830827987437816582766592 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 b #s(literal 185000000000000009379699471036228158875872544002408448 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 #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 120000000000000005877207189018062469548667240423689266649405084950820191631206170739347783509673175655173567761781233211446411950239510226052273143808 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) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))

Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (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)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (fma.f64 b b #s(literal 4 binary64)) b)) b (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 359338179468511/10889035741470030830827987437816582766592 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 b #s(literal 185000000000000009379699471036228158875872544002408448 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 #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 120000000000000005877207189018062469548667240423689266649405084950820191631206170739347783509673175655173567761781233211446411950239510226052273143808 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) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 #s(approx ( (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))

derivations785.0ms (11.2%)

Memory

-3.5MiB live, 568.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	943
1	436	893
2	1717	880
3	7226	880
0	8320	808
0	79	536
1	246	492
2	915	492
3	6986	492
0	8102	450
0	38	421
0	62	421
1	285	421
2	2371	421
0	8190	387
0	144	1110
1	474	1056
2	1817	1043
0	8405	959

Stop Event

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

Compiler

Compiled 325 to 59 computations (81.8% saved)

preprocess44.0ms (0.6%)

Memory

-8.7MiB live, 82.3MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 820 to 226 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.9%)

explain201.0ms (2.9%)

preprocess315.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify218.0ms (3.1%)

localize29.0ms (0.4%)

series7.0ms (0.1%)

simplify340.0ms (4.9%)

rewrite217.0ms (3.1%)

eval68.0ms (1%)

prune114.0ms (1.6%)

simplify167.0ms (2.4%)

localize134.0ms (1.9%)

series21.0ms (0.3%)

simplify274.0ms (3.9%)

rewrite189.0ms (2.7%)

eval95.0ms (1.4%)

prune32.0ms (0.5%)

simplify186.0ms (2.7%)

localize233.0ms (3.3%)

series14.0ms (0.2%)

simplify220.0ms (3.1%)

rewrite227.0ms (3.3%)

eval273.0ms (3.9%)

prune30.0ms (0.4%)

simplify154.0ms (2.2%)

localize148.0ms (2.1%)

series47.0ms (0.7%)

simplify320.0ms (4.6%)

rewrite304.0ms (4.4%)

eval60.0ms (0.9%)

prune32.0ms (0.5%)

regimes99.0ms (1.4%)

regimes38.0ms (0.5%)

regimes23.0ms (0.3%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch21.0ms (0.3%)

simplify71.0ms (1%)

derivations785.0ms (11.2%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling