Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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 (16.7%)

Memory

23.8MiB live, 1 572.0MiB allocated; 387ms collecting garbage

Samples

789.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 457.0ms

ival-mult: 225.0ms (49.2% of total)

ival-add: 91.0ms (19.9% of total)

ival-pow2: 81.0ms (17.7% of total)

ival-sub: 38.0ms (8.3% of total)

exact: 9.0ms (2% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 3.0ms (0.7% of total)

Bogosity

explain239.0ms (3.4%)

Memory

1.5MiB live, 430.5MiB allocated; 30ms collecting garbage

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

83.0ms

512×

valid

Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 48.0ms (78% of total)

ival-pow2: 5.0ms (8.1% of total)

ival-add: 4.0ms (6.5% of total)

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

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

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

preprocess294.0ms (4.2%)

Memory

-7.2MiB live, 282.3MiB allocated; 117ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	91	87
2	250	87
3	701	87
4	2342	85
0	12	17
0	19	17
1	44	17
2	134	17
3	479	17
4	1657	17
5	6377	17
0	8033	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))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

simplify217.0ms (3.1%)

Memory

-13.8MiB live, 304.4MiB allocated; 41ms collecting garbage

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	134	64
3	479	64
4	1657	64
5	6377	64
0	8033	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))
(-.f64 (fma.f64 #s(literal 4 binary64) (.f64 b b) (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)

localize33.0ms (0.5%)

Memory

3.5MiB live, 105.1MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.06869125976844202	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

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

ival-mult: 5.0ms (42.8% of total)

ival-pow2: 3.0ms (25.7% of total)

ival-add: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.6% 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)

series10.0ms (0.1%)

Memory

-11.8MiB live, 34.2MiB allocated; 4ms collecting garbage

Counts

7 → 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)
(*.f64 b b)

Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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
4.0ms	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) (* b b))
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) (* b b))
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) (* b b))
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) (* b b))
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) (* b b))

simplify367.0ms (5.2%)

Memory

21.9MiB live, 442.8MiB allocated; 62ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	536
1	246	492
2	958	492
3	7362	492
0	8570	446

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

rewrite63.0ms (0.9%)

Memory

-22.4MiB live, 81.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
0	19	59
1	90	59
0	851	53

Stop Event

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

Counts

7 → 172

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)
(*.f64 b b)

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

eval31.0ms (0.4%)

Memory: 24.2MiB live, 68.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 404 to 857 computations (84.1% saved)

prune6.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	209	6	215
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	6	216

Accuracy

100.0%

Counts

216 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
▶	86.4%	(-.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))
	67.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	84.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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)))
▶	67.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))

Compiler

Compiled 310 to 198 computations (36.1% saved)

simplify294.0ms (4.2%)

Memory

-31.9MiB live, 401.9MiB allocated; 96ms collecting garbage

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	339
0	60	328
1	134	328
2	498	326
3	2259	325
4	7409	325
0	8339	322

Stop Event

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

Calls

Call 1

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

localize184.0ms (2.6%)

Memory

6.5MiB live, 246.0MiB allocated; 29ms collecting garbage

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	26.183561267214515	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0078125	(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
accuracy	1.2271783877895825	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	4.74262329040685	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	17.579823882723815	#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	(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy	1.6842449815260025	(fma.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))
accuracy	4.521396284096164	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	16.001516480500843	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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)))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.07878876953688403	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	20.681104019199363	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 a a)
accuracy	0.041347509768442016	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))

Samples

148.0ms

256×

valid

Compiler

Compiled 289 to 33 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 52.0ms (49.6% of total)

ival-pow: 36.0ms (34.4% of total)

ival-add: 11.0ms (10.5% of total)

ival-pow2: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series18.0ms (0.3%)

Memory

9.1MiB live, 54.8MiB allocated; 4ms collecting garbage

Counts

21 → 74

Calls

Call 1

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

Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(pow a 2)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ (* 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 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)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(* (pow a 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 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 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))) (+ (* 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 4) (pow a 4)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
-1
(- (* 4 (pow b 2)) 1)
4
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(+ (* (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))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (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
4.0ms	a	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)))
3.0ms	b	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)))
2.0ms	a	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)))
2.0ms	b	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)))
2.0ms	a	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)))

simplify262.0ms (3.7%)

Memory

29.6MiB live, 303.8MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1003
1	472	947
2	1834	946
3	7568	938
0	9503	853

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 74

Calls

Call 1

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

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

rewrite205.0ms (2.9%)

Memory

-56.2MiB live, 296.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	296
0	60	285
1	313	282
0	3043	279

Stop Event

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

Counts

21 → 473

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(.f64 a (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 a a)) (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #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 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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(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 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 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(literal 1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (*.f64 a a) a) a)
(.f64 (.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)))
(.f64 (.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)))
(.f64 (.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a))
(.f64 (.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)))
(.f64 (.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) (*.f64 a a)))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 a (.f64 a (*.f64 a a)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (.f64 a (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a)))
(/.f64 (.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a (.f64 (.f64 a a) a))
(fma.f64 (.f64 a a) a (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 a (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a (.f64 a a)))
(fma.f64 a (.f64 a a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a) (.f64 (*.f64 a a) a))
(+.f64 (.f64 (.f64 a a) a) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))) (.f64 a (*.f64 a a)))
(+.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 b b))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 a) a) #s(literal 3 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)) (neg.f64 b) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 b)) (neg.f64 b) (.f64 a a))
(fma.f64 (.f64 #s(literal 2 binary64) (fabs.f64 b)) (fabs.f64 b) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (.f64 #s(literal 2 binary64) (fabs.f64 b)) (fabs.f64 b) (.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 2 binary64)) (.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 2 binary64)) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 2 binary64)) (.f64 a a))
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
(fma.f64 a a (.f64 #s(literal 2 binary64) (.f64 b b)))
(fma.f64 b (.f64 #s(literal 2 binary64) b) (.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 b (.f64 #s(literal 2 binary64) b) (.f64 a a))
(-.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a))))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 (neg.f64 a) a))
(-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 (*.f64 (neg.f64 b) b) #s(literal 2 binary64)))
(-.f64 (.f64 a a) (.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) b)))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64)))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (*.f64 a a))
(+.f64 (.f64 a a) (.f64 #s(literal 2 binary64) (*.f64 b b)))

eval112.0ms (1.6%)

Memory: 16.5MiB live, 204.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 22 787 to 2 313 computations (89.8% saved)

prune21.0ms (0.3%)

Memory

18.2MiB live, 62.8MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	678	7	685
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	681	10	691

Accuracy

100.0%

Counts

691 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
▶	67.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
▶	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
	67.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓	67.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	67.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64)))
▶	62.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 a a) b) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)))) b #s(literal -1 binary64)))

Compiler

Compiled 536 to 329 computations (38.6% saved)

simplify178.0ms (2.5%)

Memory

13.2MiB live, 196.6MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	393
0	67	383
1	145	374
2	491	368
3	1885	368
4	6367	368
0	8221	357

Stop Event

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

Calls

Call 1

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

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

localize191.0ms (2.7%)

Memory

-32.7MiB live, 283.4MiB allocated; 53ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.00390625	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	23.759053088145517	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy	3.051226822834378	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	9.035663123497308	(.f64 (.f64 a a) b)
accuracy	13.845019227558678	(.f64 (.f64 (*.f64 a a) b) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)))
accuracy	16.001516480500843	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 a a) b) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)))) b #s(literal -1 binary64)))
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	0.09994125976844201	(.f64 (.f64 a a) (*.f64 a a))
accuracy	26.183561267214515	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0.0	(*.f64 b b)
accuracy	0.07878876953688403	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	20.681104019199363	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	30.853393249865363	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy	0.0	(fma.f64 b b (*.f64 a a))
accuracy	0.0	(*.f64 a a)
accuracy	0.041347509768442016	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
accuracy	31.99355503290308	#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))

Samples

125.0ms

256×

valid

Compiler

Compiled 287 to 38 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 54.0ms (51.9% of total)

ival-pow: 29.0ms (27.9% of total)

ival-add: 12.0ms (11.5% of total)

ival-div: 3.0ms (2.9% of total)

ival-pow2: 3.0ms (2.9% of total)

ival-sub: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series24.0ms (0.3%)

Memory

10.8MiB live, 56.2MiB allocated; 11ms collecting garbage

Counts

20 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (* a a) b) (- (/ (/ (+ (* b b) 4) a) a) -2)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* a a) b) (/ (+ (* b b) 4) a))
3.0ms	b	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (* a a) b) (- (/ (/ (+ (* b b) 4) a) a) -2)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* a a) b) (/ (+ (* b b) 4) a))
3.0ms	b	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (* a a) b) (- (/ (/ (+ (* b b) 4) a) a) -2)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* a a) b) (/ (+ (* b b) 4) a))
3.0ms	b	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (* a a) b) (- (/ (/ (+ (* b b) 4) a) a) -2)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* a a) b) (/ (+ (* b b) 4) a))
3.0ms	a	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (* a a) b) (- (/ (/ (+ (* b b) 4) a) a) -2)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 4) (pow b 4)) (* (* a a) b) (/ (+ (* b b) 4) a))

simplify263.0ms (3.7%)

Memory

11.6MiB live, 238.7MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	790
1	420	738
2	1664	736
3	6972	728
0	8897	659

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite143.0ms (2%)

Memory

13.4MiB live, 202.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	343
0	67	327
1	346	318
0	3037	307

Stop Event

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

Counts

20 → 294

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 b)) (neg.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fabs.f64 b)) (fabs.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) b) b (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
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(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (.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 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) (neg.f64 (.f64 (.f64 b b) (-.f64 #s(literal 4 binary64) (.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 4 binary64) (.f64 b b))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64))))))
(fma.f64 (.f64 (.f64 b b) #s(literal -2 binary64)) #s(literal -2 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 b b) (neg.f64 b)) (neg.f64 b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 b b) (fabs.f64 b)) (fabs.f64 b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 b) #s(literal -2 binary64)) (.f64 (neg.f64 b) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 (fabs.f64 b) #s(literal -2 binary64)) (.f64 (fabs.f64 b) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 b #s(literal -2 binary64)) (.f64 b #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 b)) (.f64 #s(literal -2 binary64) (neg.f64 b)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (fabs.f64 b)) (.f64 #s(literal -2 binary64) (fabs.f64 b)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) b) (.f64 #s(literal -2 binary64) b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 b) (fabs.f64 b)) (.f64 (neg.f64 b) (fabs.f64 b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (fabs.f64 b) (neg.f64 b)) (.f64 (fabs.f64 b) (neg.f64 b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 (fabs.f64 b) b) (.f64 (fabs.f64 b) b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (.f64 b (fabs.f64 b)) (.f64 b (fabs.f64 b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 b) b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 (.f64 b b) (-.f64 #s(literal 4 binary64) (*.f64 b b)))))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 b) (.f64 #s(literal 4 binary64) b)))
(-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b)))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 b) b) (*.f64 b b)))
(+.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64)))))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64)))))))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(.f64 (.f64 b (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 b (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 a b) a)
(.f64 (neg.f64 a) (.f64 (neg.f64 a) b))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) b))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(.f64 b (.f64 a a))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 b b) a)) (.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) a))) (-.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 b b) a) (-.f64 (.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) a)) (.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal 4 binary64) a)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (fma.f64 (.f64 b b) a (.f64 a #s(literal 4 binary64))) (*.f64 a a))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) a))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(neg.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) a))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) a) (/.f64 #s(literal 4 binary64) a))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a) (/.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 b b) a))
(fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a))
(+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (*.f64 b b) a))
(+.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a))

eval118.0ms (1.7%)

Memory: -44.5MiB live, 115.2MiB allocated; 21ms collecting garbage
Compiler: Compiled 17 909 to 1 583 computations (91.2% saved)

prune16.0ms (0.2%)

Memory

4.1MiB live, 49.8MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	481	3	484
Fresh	1	2	3
Picked	2	3	5
Done	0	2	2
Total	484	10	494

Accuracy

100.0%

Counts

494 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
▶	78.3%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	67.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓	67.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	65.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) (*.f64 a b))) b #s(literal -1 binary64)))
▶	45.1%	#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))

Compiler

Compiled 439 to 265 computations (39.6% saved)

simplify200.0ms (2.8%)

Memory

-21.8MiB live, 222.7MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	382
0	71	373
1	146	362
2	493	356
3	1980	356
4	7305	356
0	8244	346

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2.5%)

Memory

6.2MiB live, 144.9MiB allocated; 6ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 b #s(literal 4 binary64))
accuracy	35.114674217442456	#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
accuracy	3.051226822834378	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	6.575900065445421	(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a)
accuracy	8.028256109992064	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) (*.f64 a b))
accuracy	16.001516480500843	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) (*.f64 a b))) b #s(literal -1 binary64)))
accuracy	0.0	(*.f64 a a)
accuracy	0.0625	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	0.109375	(.f64 (.f64 a a) a)
accuracy	26.183561267214515	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (*.f64 a a) a) a))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.04296875	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	0.0625	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	20.681104019199363	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy	0.0	(*.f64 a a)
accuracy	0.041347509768442016	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
accuracy	28.588164821550812	#s(approx (+ (* b b) (* a a)) (*.f64 b b))
accuracy	31.99355503290308	#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))

Samples

88.0ms

256×

valid

Compiler

Compiled 292 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 19.0ms (38.5% of total)

ival-mult: 19.0ms (38.5% of total)

ival-div: 3.0ms (6.1% of total)

ival-pow: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-pow2: 2.0ms (4.1% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.3%)

Memory

40.0MiB live, 40.0MiB allocated; 0ms collecting garbage

Counts

21 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (* a a) a) a) (* (* a a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (* a b)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (+ (* 4 (* b b)) -1) (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/ (+ (* b b) 4) a))
3.0ms	a	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (* a a) a) a) (* (* a a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (* a b)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (+ (* 4 (* b b)) -1) (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/ (+ (* b b) 4) a))
3.0ms	b	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (* a a) a) a) (* (* a a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (* a b)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (+ (* 4 (* b b)) -1) (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/ (+ (* b b) 4) a))
3.0ms	b	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (* a a) a) a) (* (* a a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (* a b)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (+ (* 4 (* b b)) -1) (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/ (+ (* b b) 4) a))
2.0ms	a	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (* a a) a) a) (* (* a a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (* a b)) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (+ (* 4 (* b b)) -1) (* (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/ (+ (* b b) 4) a))

simplify185.0ms (2.6%)

Memory

-1.1MiB live, 137.5MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	878
1	486	826
2	1903	819
3	7979	819
0	8001	743

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

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

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

rewrite164.0ms (2.3%)

Memory

-35.5MiB live, 68.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	336
0	71	319
1	326	310
0	2963	300

Stop Event

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

Counts

21 → 257

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)))) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (+ (* b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)))) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64))))
(fma.f64 #s(approx (+ (* b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (neg.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b))) (fma.f64 a a (.f64 b b))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 a a (.f64 b b))) #s(approx (+ (* b b) (* a a)) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)))) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b)))) (pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(+.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 #s(approx (+ ( b b) (* a a)) (.f64 b b)) (fma.f64 a a (.f64 b b))))
(.f64 (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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(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 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(.f64 (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 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(literal 1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b)) (pow.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) (.f64 b #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b)) (pow.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b #s(literal -1 binary64))
(fma.f64 b #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a))) b))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 b) #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b)) (pow.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b)) (pow.f64 (.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(approx ( (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)) b))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a))
(.f64 (.f64 (*.f64 a b) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64))) a)
(.f64 (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) b) a)
(.f64 (.f64 (*.f64 a 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 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) a) b)
(.f64 (.f64 a b) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) (*.f64 a b))
(.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (.f64 (*.f64 a b) a))
(.f64 a (.f64 b (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a)))
(.f64 a (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 a b)))
(.f64 b (.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a) a))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 a b) a)) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64)) #s(literal -8 binary64)) (.f64 (*.f64 a b) a)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (pow.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))) 1) (pow.f64 b #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 b b) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 (*.f64 b b) (fabs.f64 b)) (fabs.f64 b))
(.f64 (.f64 (*.f64 b b) b) b)
(.f64 (.f64 (neg.f64 b) (fabs.f64 b)) (*.f64 (neg.f64 b) (fabs.f64 b)))
(.f64 (.f64 (fabs.f64 b) (neg.f64 b)) (*.f64 (fabs.f64 b) (neg.f64 b)))
(.f64 (.f64 (fabs.f64 b) b) (*.f64 (fabs.f64 b) b))
(.f64 (.f64 b (fabs.f64 b)) (*.f64 b (fabs.f64 b)))
(.f64 (.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b))
(.f64 (neg.f64 b) (.f64 (neg.f64 b) (*.f64 b b)))
(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) (*.f64 b b)))
(.f64 (.f64 b b) (*.f64 b b))
(.f64 b (.f64 b (*.f64 b b)))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 4 binary64))
(pow.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 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))))
#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) a)
(*.f64 a (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64)) #s(literal -8 binary64)) a) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a)) (pow.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 b b) a)) (.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) a))) (-.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 b b) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 b b) a) (-.f64 (.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) a)) (.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal 4 binary64) a)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (fma.f64 (.f64 b b) a (.f64 a #s(literal 4 binary64))) (*.f64 a a))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (fma.f64 b b #s(literal -4 binary64)) a))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) a))
(/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (neg.f64 a))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(neg.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) a))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) a) (/.f64 #s(literal 4 binary64) a))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) a) (/.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 b b) a))
(fma.f64 b (/.f64 b a) (/.f64 #s(literal 4 binary64) a))
(+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 (*.f64 b b) a))
(+.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 4 binary64) a))

eval52.0ms (0.7%)

Memory: 17.3MiB live, 61.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 14 969 to 1 491 computations (90% saved)

prune17.0ms (0.2%)

Memory

-15.6MiB live, 30.1MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	350	5	355
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	352	13	365

Accuracy

100.0%

Counts

365 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
✓	78.3%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
✓	68.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	67.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	65.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 #s(approx ( (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) (*.f64 a b))) b #s(literal -1 binary64)))
	65.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (.f64 #s(approx ( (- (/ (/ (+ (* b b) 4) a) a) -2) a) (/.f64 (.f64 b b) a)) (.f64 a b))) b #s(literal -1 binary64)))
	23.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) 4) b) b) -1) #s(literal -1 binary64)))
✓	45.1%	#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
	45.1%	#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 (*.f64 b b) b) b))
	45.1%	#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 b b) (*.f64 b b)))

Compiler

Compiled 1 119 to 358 computations (68% saved)

regimes54.0ms (0.8%)

Memory

14.1MiB live, 58.5MiB allocated; 3ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	(*.f64 a a)
6.0ms	b
6.0ms	a
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
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)

regimes42.0ms (0.6%)

Memory

-14.2MiB live, 40.4MiB allocated; 4ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	(*.f64 a a)
6.0ms	b
6.0ms	a
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
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

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

regimes35.0ms (0.5%)

Memory

-29.9MiB live, 17.0MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

19.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
3.0ms	(+.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
98.2%	2	`(*.f64 b b)`
96.1%	2	`(*.f64 a a)`
84.7%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
84.7%	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))`
96.1%	2	`a`
98.2%	2	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`(*.f64 b b)`
97.8%	2	`b`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.2%)

Memory

10.8MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

3.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.7%	2	`(*.f64 a a)`
95.7%	2	`a`
94.9%	2	`(*.f64 b b)`
94.9%	2	`b`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
67.7%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
67.7%	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))`
67.7%	1	`(*.f64 b b)`
67.7%	1	`b`
67.7%	1	`(*.f64 a a)`
67.7%	1	`a`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes12.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)
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
67.6%	1	`(*.f64 b b)`
67.6%	1	`a`
67.6%	1	`b`
67.6%	1	`(*.f64 a a)`
67.6%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
67.6%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes12.0ms (0.2%)

Memory

-20.5MiB live, 26.2MiB allocated; 1ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))

Calls

6 calls:

3.0ms	(-.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))
2.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)
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
67.1%	2	`(*.f64 b b)`
57.1%	2	`a`
67.1%	2	`b`
57.1%	2	`(*.f64 a a)`
67.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
67.4%	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))`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))

Outputs

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

#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))

Calls

2 calls:

1.0ms

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

1.0ms

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

Results

Accuracy	Segments	Branch
67.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
67.4%	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))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes11.0ms (0.2%)

Memory

-26.2MiB live, 19.2MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

4.0ms	a
1.0ms	b
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 a a)
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
49.7%	1	`(*.f64 a a)`
49.7%	1	`a`
49.7%	1	`(*.f64 b b)`
49.7%	1	`b`
49.7%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
49.7%	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))`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
23.4%	1	`(*.f64 b b)`
23.4%	1	`(*.f64 a a)`
23.4%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
23.4%	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))`
23.4%	1	`a`
23.4%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch14.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	54488.592788945105	2083082.185904765

Samples

7.0ms

112×

valid

Compiler

Compiled 419 to 282 computations (32.7% saved)

Precisions

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

ival-mult: 2.0ms (42.4% of total)

ival-add: 1.0ms (21.2% of total)

ival-pow2: 1.0ms (21.2% of total)

ival-sub: 0.0ms (0% 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)

bsearch15.0ms (0.2%)

Memory

-31.3MiB live, 16.7MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	54488.592788945105	2083082.185904765

Samples

9.0ms

96×

valid

Compiler

Compiled 384 to 247 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (42% of total)

ival-mult: 2.0ms (28% of total)

ival-add: 1.0ms (14% of total)

ival-pow2: 1.0ms (14% 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)

bsearch16.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.7350847652730927e+76	8.130288410614695e+79

Samples

8.0ms

128×

valid

Compiler

Compiled 436 to 296 computations (32.1% saved)

Precisions

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

ival-mult: 2.0ms (36.1% of total)

ival-sub: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

ival-pow2: 1.0ms (18% 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)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.869909361602969	1.0648563301554734e+22

Compiler

Compiled 20 to 17 computations (15% saved)

bsearch3.0ms (0%)

Memory

-43.4MiB live, 1.7MiB allocated; 5ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.869909361602969	1.0648563301554734e+22

Compiler

Compiled 20 to 17 computations (15% saved)

simplify52.0ms (0.7%)

Memory

30.9MiB live, 74.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	496
1	123	496
2	340	496
3	1361	496
4	4546	496

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 55000 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))) 1) (fma.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 540000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 38000000000000002431060328548003954604711322286358237913140293745730482339840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 b b) (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) 4) b) b) -1) #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 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 55000 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))) 1) (fma.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 540000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 38000000000000002431060328548003954604711322286358237913140293745730482339840 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) 4) b) b) -1) #s(literal -1 binary64)))

derivations1.3s (18.8%)

Memory

-5.4MiB live, 1 090.6MiB allocated; 191ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	296
0	60	285
1	313	282
0	3043	279
0	47	336
0	71	319
1	326	310
0	2963	300
0	133	790
1	420	738
2	1664	736
3	6972	728
0	8897	659
0	12	59
0	19	59
1	90	59
0	851	53
0	151	878
1	486	826
2	1903	819
3	7979	819
0	8001	743
0	146	1003
1	472	947
2	1834	946
3	7568	938
0	9503	853
0	79	536
1	246	492
2	958	492
3	7362	492
0	8570	446

Stop Event

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

Compiler

Compiled 496 to 74 computations (85.1% saved)

preprocess113.0ms (1.6%)

Memory

17.4MiB live, 109.8MiB allocated; 6ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 1 162 to 268 computations (76.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.7%)

explain239.0ms (3.4%)

preprocess294.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify217.0ms (3.1%)

localize33.0ms (0.5%)

series10.0ms (0.1%)

simplify367.0ms (5.2%)

rewrite63.0ms (0.9%)

eval31.0ms (0.4%)

prune6.0ms (0.1%)

simplify294.0ms (4.2%)

localize184.0ms (2.6%)

series18.0ms (0.3%)

simplify262.0ms (3.7%)

rewrite205.0ms (2.9%)

eval112.0ms (1.6%)

prune21.0ms (0.3%)

simplify178.0ms (2.5%)

localize191.0ms (2.7%)

series24.0ms (0.3%)

simplify263.0ms (3.7%)

rewrite143.0ms (2%)

eval118.0ms (1.7%)

prune16.0ms (0.2%)

simplify200.0ms (2.8%)

localize175.0ms (2.5%)

series19.0ms (0.3%)

simplify185.0ms (2.6%)

rewrite164.0ms (2.3%)

eval52.0ms (0.7%)

prune17.0ms (0.2%)

regimes54.0ms (0.8%)

regimes42.0ms (0.6%)

regimes23.0ms (0.3%)

regimes35.0ms (0.5%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

simplify52.0ms (0.7%)

derivations1.3s (18.8%)

preprocess113.0ms (1.6%)

end0.0ms (0%)

Profiling